62 lines
445 KiB
HTML
62 lines
445 KiB
HTML
<!DOCTYPE html>
|
|
<head><meta charset="utf-8"></meta>
|
|
<meta content="minimum-scale=1, initial-scale=1, width=device-width, shrink-to-fit=no" name="viewport"></meta>
|
|
<link type="text/css" href="static/css/tabler-icons.min.css" rel="stylesheet"></link>
|
|
<link type="text/css" href="static/css/style.css" rel="stylesheet"></link>
|
|
<link type="text/css" href="static/css/custom.css" rel="stylesheet"></link>
|
|
<link type="text/css" href="static/css/export.css" rel="stylesheet"></link>
|
|
<link href="static/img/logo.png" type="image/png" rel="shortcut icon"></link>
|
|
<link href="static/img/logo.png" sizes="192x192" rel="shortcut icon"></link>
|
|
<link href="static/img/logo.png" rel="apple-touch-icon"></link>
|
|
<meta name="apple-mobile-web-app-title"></meta>
|
|
<meta name="apple-mobile-web-app-capable" content="yes"></meta>
|
|
<meta name="apple-touch-fullscreen" content="yes"></meta>
|
|
<meta name="apple-mobile-web-app-status-bar-style" content="black-translucent"></meta>
|
|
<meta name="mobile-web-app-capable" content="yes"></meta>
|
|
<meta property="og:title"></meta>
|
|
<meta content="site" property="og:type"></meta>
|
|
<meta content="static/img/logo.png" property="og:image"></meta>
|
|
<meta property="og:description"></meta>
|
|
<title></title>
|
|
<meta property="og:site_name"></meta>
|
|
<meta></meta>
|
|
</head>
|
|
<body><div id="root"></div>
|
|
<script>window.logseq_db="[logseq____"~#datascript/DBlogseq____",[logseq____"^ logseq____",logseq____"~:schemalogseq____",[logseq____"^ logseq____",logseq____"~:ast/versionlogseq____",[logseq____"^ logseq____"],logseq____"~:file/contentlogseq____",[logseq____"^ logseq____"],logseq____"~:block/properties-text-valueslogseq____",[logseq____"^ logseq____"],logseq____"~:block/aliaslogseq____",[logseq____"^ logseq____",logseq____"~:db/valueTypelogseq____",logseq____"~:db.type/reflogseq____",logseq____"~:db/cardinalitylogseq____",logseq____"~:db.cardinality/manylogseq____"],logseq____"~:block/pre-block?logseq____",[logseq____"^ logseq____"],logseq____"~:block/uuidlogseq____",[logseq____"^ logseq____",logseq____"~:db/uniquelogseq____",logseq____"~:db.unique/identitylogseq____"],logseq____"~:block/prioritylogseq____",[logseq____"^ logseq____"],logseq____"~:block/propertieslogseq____",[logseq____"^ logseq____"],logseq____"~:block/journal?logseq____",[logseq____"^ logseq____"],logseq____"~:block/namespacelogseq____",[logseq____"^ logseq____",logseq____"^6logseq____",logseq____"^7logseq____"],logseq____"~:block/updated-atlogseq____",[logseq____"^ logseq____"],logseq____"~:block/repeated?logseq____",[logseq____"^ logseq____"],logseq____"~:db/typelogseq____",[logseq____"^ logseq____"],logseq____"~:file/handlelogseq____",[logseq____"^ logseq____"],logseq____"~:block/leftlogseq____",[logseq____"^ logseq____",logseq____"^6logseq____",logseq____"^7logseq____",logseq____"~:db/indexlogseq____",true],logseq____"~:block/refslogseq____",[logseq____"^ logseq____",logseq____"^6logseq____",logseq____"^7logseq____",logseq____"^8logseq____",logseq____"^9logseq____"],logseq____"~:block/scheduledlogseq____",[logseq____"^ logseq____"],logseq____"~:block/properties-orderlogseq____",[logseq____"^ logseq____"],logseq____"~:block/created-atlogseq____",[logseq____"^ logseq____"],logseq____"~:block/deadlinelogseq____",[logseq____"^ logseq____"],logseq____"~:block/collapsed?logseq____",[logseq____"^ logseq____",logseq____"^Glogseq____",true],logseq____"~:block/journal-daylogseq____",[logseq____"^ logseq____"],logseq____"~:block/formatlogseq____",[logseq____"^ logseq____"],logseq____"~:block/tagslogseq____",[logseq____"^ logseq____",logseq____"^6logseq____",logseq____"^7logseq____",logseq____"^8logseq____",logseq____"^9logseq____"],logseq____"~:block/contentlogseq____",[logseq____"^ logseq____"],logseq____"~:recent/pageslogseq____",[logseq____"^ logseq____"],logseq____"~:block/macroslogseq____",[logseq____"^ logseq____",logseq____"^6logseq____",logseq____"^7logseq____",logseq____"^8logseq____",logseq____"^9logseq____"],logseq____"~:db/identlogseq____",[logseq____"^ logseq____",logseq____"^logseq____<logseq____",logseq____"^=logseq____"],logseq____"~:block/path-refslogseq____",[logseq____"^ logseq____",logseq____"^6logseq____",logseq____"^7logseq____",logseq____"^8logseq____",logseq____"^9logseq____"],logseq____"~:block/parentlogseq____",[logseq____"^ logseq____",logseq____"^6logseq____",logseq____"^7logseq____",logseq____"^Glogseq____",true],logseq____"~:block/typelogseq____",[logseq____"^ logseq____"],logseq____"~:block/pagelogseq____",[logseq____"^ logseq____",logseq____"^6logseq____",logseq____"^7logseq____",logseq____"^Glogseq____",true],logseq____"~:block/namelogseq____",[logseq____"^ logseq____",logseq____"^logseq____<logseq____",logseq____"^=logseq____"],logseq____"~:file/pathlogseq____",[logseq____"^ logseq____",logseq____"^logseq____<logseq____",logseq____"^=logseq____"],logseq____"~:block/filelogseq____",[logseq____"^ logseq____",logseq____"^6logseq____",logseq____"^7logseq____"],logseq____"~:block/markerlogseq____",[logseq____"^ logseq____"],logseq____"~:block/original-namelogseq____",[logseq____"^ logseq____",logseq____"^logseq____<logseq____",logseq____"^=logseq____"],logseq____"~:schema/versionlogseq____",[logseq____"^ logseq____"]],logseq____"~:datomslogseq____",[logseq____"~#listlogseq____",[[logseq____"~#datascript/Datomlogseq____",[1,logseq____"^12logseq____",2,536870913]],[logseq____"^15logseq____",[2,logseq____"^@logseq____",false,536870914]],[logseq____"^15logseq____",[2,logseq____"^Ylogseq____",logseq____"cardlogseq____",536870913]],[logseq____"^15logseq____",[2,logseq____"^11logseq____",logseq____"cardlogseq____",536870913]],[logseq____"^15logseq____",[2,logseq____"^;logseq____",logseq____"~u3e2718e8-b777-4105-b582-82d52ba3d7bblogseq____",536870914]],[logseq____"^15logseq____",[3,logseq____"^@logseq____",false,536870914]],[logseq____"^15logseq____",[3,logseq____"^Ylogseq____",logseq____"canceledlogseq____",536870914]],[logseq____"^15logseq____",[3,logseq____"^11logseq____",logseq____"CANCELEDlogseq____",536870914]],[logseq____"^15logseq____",[3,logseq____"^;logseq____",logseq____"~u92993b2b-5d47-46b1-93c2-978b58c58eeflogseq____",536870914]],[logseq____"^15logseq____",[4,logseq____"^@logseq____",false,536870914]],[logseq____"^15logseq____",[4,logseq____"^Ylogseq____",logseq____"todologseq____",536870914]],[logseq____"^15logseq____",[4,logseq____"^11logseq____",logseq____"TODOlogseq____",536870914]],[logseq____"^15logseq____",[4,logseq____"^;logseq____",logseq____"~u601cece3-c4ca-4609-9350-dd6959dfc38flogseq____",536870914]],[logseq____"^15logseq____",[5,logseq____"^@logseq____",false,536870914]],[logseq____"^15logseq____",[5,logseq____"^Ylogseq____",logseq____"nowlogseq____",536870914]],[logseq____"^15logseq____",[5,logseq____"^11logseq____",logseq____"NOWlogseq____",536870914]],[logseq____"^15logseq____",[5,logseq____"^;logseq____",logseq____"~u1d48972e-1b82-4225-841b-b58a99ac50f2logseq____",536870914]],[logseq____"^15logseq____",[6,logseq____"^@logseq____",false,536870914]],[logseq____"^15logseq____",[6,logseq____"^Ylogseq____",logseq____"laterlogseq____",536870914]],[logseq____"^15logseq____",[6,logseq____"^11logseq____",logseq____"LATERlogseq____",536870914]],[logseq____"^15logseq____",[6,logseq____"^;logseq____",logseq____"~u9cb5c158-33cd-4c46-aa11-3be036000b07logseq____",536870914]],[logseq____"^15logseq____",[7,logseq____"^@logseq____",false,536870914]],[logseq____"^15logseq____",[7,logseq____"^Ylogseq____",logseq____"donelogseq____",536870914]],[logseq____"^15logseq____",[7,logseq____"^11logseq____",logseq____"DONElogseq____",536870914]],[logseq____"^15logseq____",[7,logseq____"^;logseq____",logseq____"~ua023ec85-db5e-4a6a-883e-61e17147d2delogseq____",536870914]],[logseq____"^15logseq____",[8,logseq____"^@logseq____",false,536870914]],[logseq____"^15logseq____",[8,logseq____"^Ylogseq____",logseq____"doinglogseq____",536870914]],[logseq____"^15logseq____",[8,logseq____"^11logseq____",logseq____"DOINGlogseq____",536870914]],[logseq____"^15logseq____",[8,logseq____"^;logseq____",logseq____"~uedd0201d-9654-4c39-bfdb-202cb31cf279logseq____",536870914]],[logseq____"^15logseq____",[9,logseq____"^@logseq____",false,536870914]],[logseq____"^15logseq____",[9,logseq____"^Ylogseq____",logseq____"in-progresslogseq____",536870914]],[logseq____"^15logseq____",[9,logseq____"^11logseq____",logseq____"IN-PROGRESSlogseq____",536870914]],[logseq____"^15logseq____",[9,logseq____"^;logseq____",logseq____"~u8e3a599f-ab26-49c3-9f3b-b8af2de60131logseq____",536870914]],[logseq____"^15logseq____",[10,logseq____"^@logseq____",false,536870914]],[logseq____"^15logseq____",[10,logseq____"^Ylogseq____",logseq____"clogseq____",536870914]],[logseq____"^15logseq____",[10,logseq____"^11logseq____",logseq____"Clogseq____",536870914]],[logseq____"^15logseq____",[10,logseq____"^;logseq____",logseq____"~u15b0b423-899f-4a1b-bbee-c70110afe3dblogseq____",536870914]],[logseq____"^15logseq____",[11,logseq____"^@logseq____",false,536870914]],[logseq____"^15logseq____",[11,logseq____"^Ylogseq____",logseq____"blogseq____",536870914]],[logseq____"^15logseq____",[11,logseq____"^11logseq____",logseq____"Blogseq____",536870914]],[logseq____"^15logseq____",[11,logseq____"^;logseq____",logseq____"~u0f403fbb-1577-486e-ac15-005ab0b2ba7elogseq____",536870914]],[logseq____"^15logseq____",[12,logseq____"^@logseq____",false,536870914]],[logseq____"^15logseq____",[12,logseq____"^Ylogseq____",logseq____"contentslogseq____",536870914]],[logseq____"^15logseq____",[12,logseq____"^11logseq____",logseq____"contentslogseq____",536870917]],[logseq____"^15logseq____",[12,logseq____"^;logseq____",logseq____"~u6531c8ed-8957-4ca0-bb43-4c8722955deblogseq____",536870917]],[logseq____"^15logseq____",[13,logseq____"^@logseq____",false,536870914]],[logseq____"^15logseq____",[13,logseq____"^Ylogseq____",logseq____"waitinglogseq____",536870914]],[logseq____"^15logseq____",[13,logseq____"^11logseq____",logseq____"WAITINGlogseq____",536870914]],[logseq____"^15logseq____",[13,logseq____"^;logseq____",logseq____"~u4a9febe1-c333-4ffc-86f2-67b0d541ef0dlogseq____",536870914]],[logseq____"^15logseq____",[14,logseq____"^@logseq____",false,536870914]],[logseq____"^15logseq____",[14,logseq____"^Ylogseq____",logseq____"favoriteslogseq____",536870914]],[logseq____"^15logseq____",[14,logseq____"^11logseq____",logseq____"Favoriteslogseq____",536870914]],[logseq____"^15logseq____",[14,logseq____"^;logseq____",logseq____"~ufa39329d-b7c2-4272-b623-b9eace8d6c20logseq____",536870914]],[logseq____"^15logseq____",[15,logseq____"^@logseq____",false,536870914]],[logseq____"^15logseq____",[15,logseq____"^Ylogseq____",logseq____"alogseq____",536870914]],[logseq____"^15logseq____",[15,logseq____"^11logseq____",logseq____"Alogseq____",536870914]],[logseq____"^15logseq____",[15,logseq____"^;logseq____",logseq____"~udad78376-32ba-47b0-ac3a-e589dbc52518logseq____",536870914]],[logseq____"^15logseq____",[16,logseq____"^@logseq____",false,536870914]],[logseq____"^15logseq____",[16,logseq____"^Ylogseq____",logseq____"cancelledlogseq____",536870914]],[logseq____"^15logseq____",[16,logseq____"^11logseq____",logseq____"CANCELLEDlogseq____",536870914]],[logseq____"^15logseq____",[16,logseq____"^;logseq____",logseq____"~u4bd77a99-f8dd-4db3-a4ab-e0b9456cc403logseq____",536870914]],[logseq____"^15logseq____",[17,logseq____"^@logseq____",false,536870914]],[logseq____"^15logseq____",[17,logseq____"^Ylogseq____",logseq____"waitlogseq____",536870914]],[logseq____"^15logseq____",[17,logseq____"^11logseq____",logseq____"WAITlogseq____",536870914]],[logseq____"^15logseq____",[17,logseq____"^;logseq____",logseq____"~uef6e4441-f429-4631-88a9-e00f715e060alogseq____",536870914]],[logseq____"^15logseq____",[21,logseq____"^Qlogseq____",logseq____"logseq____",536870917]],[logseq____"^15logseq____",[21,logseq____"^Ologseq____",logseq____"~:markdownlogseq____",536870917]],[logseq____"^15logseq____",[21,logseq____"^Flogseq____",12,536870917]],[logseq____"^15logseq____",[21,logseq____"^Xlogseq____",12,536870917]],[logseq____"^15logseq____",[21,logseq____"^Vlogseq____",12,536870917]],[logseq____"^15logseq____",[21,logseq____"^Ulogseq____",12,536870917]],[logseq____"^15logseq____",[21,logseq____"~:block/unorderedlogseq____",true,536870917]],[logseq____"^15logseq____",[21,logseq____"^;logseq____",logseq____"~u6531c8ed-4f2b-41a7-b200-28c199e23469logseq____",536870917]],[logseq____"^15logseq____",[23,logseq____"^Klogseq____",1697393389662,536870918]],[logseq____"^15logseq____",[23,logseq____"^Ylogseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",536870918]],[logseq____"^15logseq____",[23,logseq____"^11logseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",536870918]],[logseq____"^15logseq____",[23,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"~:ls-typelogseq____",logseq____"~:whiteboard-pagelogseq____",logseq____"~:logseq.tldraw.pagelogseq____",[logseq____"^ logseq____",logseq____"~:idlogseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"~:namelogseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"~:bindingslogseq____",[logseq____"^ logseq____"],logseq____"~:noncelogseq____",1,logseq____"~:assetslogseq____",[],logseq____"~:shapes-indexlogseq____",[logseq____"^14logseq____",[logseq____"1218f800-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"124a8f50-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"12857570-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"131c3730-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"13534cc0-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"138706f0-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"144e0070-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"147dea10-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"15145db0-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"1bf58910-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"1c996a30-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"1e1beb80-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"1f082040-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"208b16c0-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"5f510900-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"60d8ba70-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"617807b0-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"61f80d20-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"627182e0-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"62cf5a50-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"63cfda60-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"6458e080-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"65cf2cd0-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"729dadb0-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"73582410-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"7c681650-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"7d355160-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"80b57770-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"86fad800-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"d0839ca0-6b86-11ee-a673-27a2873cc90flogseq____"]]]],536870918]],[logseq____"^15logseq____",[23,logseq____"^Wlogseq____",logseq____"whiteboardlogseq____",536870918]],[logseq____"^15logseq____",[23,logseq____"^Blogseq____",1697393726609,536870918]],[logseq____"^15logseq____",[23,logseq____"^;logseq____",logseq____"~u652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",536870918]],[logseq____"^15logseq____",[24,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[24,logseq____"^Klogseq____",1697393537081,536870918]],[logseq____"^15logseq____",[24,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[24,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[24,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[24,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"~:whiteboard-shapelogseq____",logseq____"~:logseq.tldraw.shapelogseq____",[logseq____"^ logseq____",logseq____"~:strokelogseq____",logseq____"logseq____",logseq____"~:indexlogseq____",13,logseq____"~:scalelogseq____",[1,1],logseq____"~:scaleLevellogseq____",logseq____"mdlogseq____",logseq____"~:filllogseq____",logseq____"logseq____",logseq____"~:typelogseq____",logseq____"pencillogseq____",logseq____"~:pointslogseq____",[[0,0,0]],logseq____"~:strokeTypelogseq____",logseq____"linelogseq____",logseq____"~:strokeWidthlogseq____",2,logseq____"~:opacitylogseq____",1,logseq____"^1;logseq____",logseq____"208b16c0-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"~:noFilllogseq____",true,logseq____"~:pointlogseq____",[2729.5,540.5],logseq____"~:parentIdlogseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393431086,logseq____"~:isCompletelogseq____",true]],536870918]],[logseq____"^15logseq____",[24,logseq____"^Blogseq____",1697393537081,536870918]],[logseq____"^15logseq____",[24,logseq____"^;logseq____",logseq____"~u208b16c0-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[25,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[25,logseq____"^Klogseq____",1697393407539,536870918]],[logseq____"^15logseq____",[25,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[25,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[25,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[25,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",0,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[0,0,0],[0,12,0],[1,25,0],[1,29,0],[1,51,0],[2,55,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"1218f800-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[371.5,205.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393406855,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[25,logseq____"^Blogseq____",1697393407539,536870918]],[logseq____"^15logseq____",[25,logseq____"^;logseq____",logseq____"~u1218f800-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[26,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[26,logseq____"^Klogseq____",1697393603730,536870918]],[logseq____"^15logseq____",[26,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[26,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[26,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[26,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",27,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[0,0,0],[1,1,0],[9,5,0],[39,15,0],[79,22,0],[103,26,0],[153,35,0],[179,39,0],[244,42,0],[281,39,0],[353,31,0],[384,28,0],[432,25,0],[451,26,0],[481,27,0],[486,27,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"80b57770-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[1130.5,980.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393592440,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[26,logseq____"^Blogseq____",1697393603730,536870918]],[logseq____"^15logseq____",[26,logseq____"^;logseq____",logseq____"~u80b57770-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[27,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[27,logseq____"^Klogseq____",1697393542656,536870918]],[logseq____"^15logseq____",[27,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[27,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[27,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[27,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",18,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[0,0,0],[1,1,0],[2,4,0],[6,9,0],[12,27,0],[15,37,0],[22,54,0],[27,70,0],[33,86,0],[38,99,0],[43,112,0],[52,126,0],[54,129,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"627182e0-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[543.5,422.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393541660,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[27,logseq____"^Blogseq____",1697393542656,536870918]],[logseq____"^15logseq____",[27,logseq____"^;logseq____",logseq____"~u627182e0-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[28,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[28,logseq____"^Klogseq____",1697393726609,536870918]],[logseq____"^15logseq____",[28,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[28,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[28,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[28,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",28,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[0,0,0],[0,1,0],[1,3,0],[3,8,0],[10,21,0],[16,43,0],[21,55,0],[34,81,0],[42,94,0],[60,121,0],[70,133,0],[87,150,0],[106,167,0],[132,188,0],[147,199,0],[174,218,0],[188,227,0],[216,246,0],[230,254,0],[262,272,0],[279,281,0],[296,289,0],[331,302,0],[349,309,0],[388,320,0],[407,324,0],[445,333,0],[461,337,0],[490,346,0],[502,350,0],[521,359,0],[531,364,0],[537,367,0],[540,368,0],[541,368,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"86fad800-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[1102.5,513.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393602981,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[28,logseq____"^Blogseq____",1697393726609,536870918]],[logseq____"^15logseq____",[28,logseq____"^;logseq____",logseq____"~u86fad800-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[29,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[29,logseq____"^Klogseq____",1697393545356,536870918]],[logseq____"^15logseq____",[29,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[29,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[29,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[29,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",20,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[80,0,0],[79,1,0],[78,3,0],[74,11,0],[69,19,0],[67,24,0],[64,29,0],[63,32,0],[58,40,0],[54,45,0],[45,60,0],[42,67,0],[36,78,0],[33,84,0],[28,93,0],[26,97,0],[23,102,0],[21,105,0],[17,111,0],[14,115,0],[8,127,0],[0,144,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"63cfda60-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[780.5,415.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393543965,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[29,logseq____"^Blogseq____",1697393545356,536870918]],[logseq____"^15logseq____",[29,logseq____"^;logseq____",logseq____"~u63cfda60-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[30,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[30,logseq____"^Klogseq____",1697393587383,536870918]],[logseq____"^15logseq____",[30,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[30,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[30,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[30,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",25,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[0,0,0],[0,1,0],[1,5,0],[3,11,0],[5,22,0],[7,28,0],[8,31,0],[10,34,0],[11,36,0],[14,38,0],[16,39,0],[17,39,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"7c681650-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[1021.5,876.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393585218,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[30,logseq____"^Blogseq____",1697393587383,536870918]],[logseq____"^15logseq____",[30,logseq____"^;logseq____",logseq____"~u7c681650-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[31,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[31,logseq____"^Klogseq____",1697393592918,536870918]],[logseq____"^15logseq____",[31,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[31,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[31,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[31,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",26,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[0,0,0],[0,1,0],[0,3,0],[0,6,0],[0,10,0],[2,19,0],[4,23,0],[4,25,0],[6,33,0],[7,36,0],[8,42,0],[9,46,0],[10,53,0],[10,56,0],[10,62,0],[10,64,0],[10,69,0],[10,72,0],[10,77,0],[10,79,0],[10,84,0],[10,85,0],[10,89,0],[10,90,0],[10,94,0],[10,95,0],[10,97,0],[10,98,0],[10,99,0],[9,100,0],[8,101,0],[8,102,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"7d355160-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[1032.5,856.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393586583,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[31,logseq____"^Blogseq____",1697393592918,536870918]],[logseq____"^15logseq____",[31,logseq____"^;logseq____",logseq____"~u7d355160-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[32,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[32,logseq____"^Klogseq____",1697393412412,536870918]],[logseq____"^15logseq____",[32,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[32,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[32,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[32,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",6,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[0,0,0],[0,2,0],[0,7,0],[1,17,0],[1,22,0],[1,38,0],[1,49,0],[0,64,0],[0,70,0],[2,76,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"144e0070-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[1680.5,145.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393410562,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[32,logseq____"^Blogseq____",1697393412412,536870918]],[logseq____"^15logseq____",[32,logseq____"^;logseq____",logseq____"~u144e0070-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[33,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[33,logseq____"^Klogseq____",1697393585666,536870918]],[logseq____"^15logseq____",[33,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[33,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[33,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[33,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",24,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[1,0,0],[1,1,0],[1,6,0],[3,21,0],[3,27,0],[4,40,0],[5,63,0],[5,87,0],[4,101,0],[2,128,0],[1,140,0],[0,167,0],[2,186,0],[3,206,0],[4,218,0],[6,248,0],[8,265,0],[13,301,0],[15,316,0],[20,348,0],[21,361,0],[23,384,0],[23,395,0],[25,407,0],[26,414,0],[28,423,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"73582410-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[952.5,462.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393570028,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[33,logseq____"^Blogseq____",1697393585666,536870918]],[logseq____"^15logseq____",[33,logseq____"^;logseq____",logseq____"~u73582410-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[34,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[34,logseq____"^Klogseq____",1697393425130,536870918]],[logseq____"^15logseq____",[34,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[34,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[34,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[34,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",9,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[0,0,0],[0,1,0],[0,4,0],[0,10,0],[0,31,0],[1,45,0],[3,66,0],[5,86,0],[7,102,0],[9,117,0],[8,134,0],[7,138,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"1bf58910-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[1604.5,577.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393423406,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[34,logseq____"^Blogseq____",1697393425130,536870918]],[logseq____"^15logseq____",[34,logseq____"^;logseq____",logseq____"~u1bf58910-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[35,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[35,logseq____"^Klogseq____",1697393541207,536870918]],[logseq____"^15logseq____",[35,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[35,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[35,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[35,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",16,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[76,0,0],[75,0,0],[75,1,0],[74,5,0],[71,9,0],[66,18,0],[63,24,0],[53,39,0],[49,43,0],[43,52,0],[41,56,0],[35,62,0],[32,67,0],[21,82,0],[14,91,0],[0,104,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"617807b0-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[369.5,430.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393540028,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[35,logseq____"^Blogseq____",1697393541207,536870918]],[logseq____"^15logseq____",[35,logseq____"^;logseq____",logseq____"~u617807b0-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[36,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[36,logseq____"^Klogseq____",1697393570618,536870918]],[logseq____"^15logseq____",[36,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[36,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[36,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[36,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",23,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[0,0,0],[1,1,0],[2,3,0],[4,6,0],[12,14,0],[24,25,0],[38,37,0],[56,48,0],[67,53,0],[87,59,0],[106,65,0],[120,68,0],[147,71,0],[167,70,0],[184,66,0],[195,62,0],[197,62,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"729dadb0-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[784.5,867.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393568797,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[36,logseq____"^Blogseq____",1697393570618,536870918]],[logseq____"^15logseq____",[36,logseq____"^;logseq____",logseq____"~u729dadb0-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[37,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[37,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[37,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[37,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[37,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",29,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[3,4,0],[0,1,0],[0,0,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"d0839ca0-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[2035.5,540.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393726318,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[37,logseq____"^Blogseq____",1697393726610,536870918]],[logseq____"^15logseq____",[37,logseq____"^;logseq____",logseq____"~ud0839ca0-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[38,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[38,logseq____"^Klogseq____",1697393539383,536870918]],[logseq____"^15logseq____",[38,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[38,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[38,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[38,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",14,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[124,0,0],[119,4,0],[118,5,0],[117,6,0],[115,8,0],[111,13,0],[110,15,0],[109,17,0],[106,19,0],[101,23,0],[95,28,0],[92,32,0],[88,36,0],[79,46,0],[71,54,0],[61,62,0],[56,67,0],[46,78,0],[42,84,0],[31,94,0],[21,104,0],[10,117,0],[2,126,0],[0,129,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"5f510900-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[238.5,402.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393536425,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[38,logseq____"^Blogseq____",1697393539383,536870918]],[logseq____"^15logseq____",[38,logseq____"^;logseq____",logseq____"~u5f510900-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[39,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[39,logseq____"^Klogseq____",1697393412413,536870918]],[logseq____"^15logseq____",[39,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[39,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[39,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[39,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",7,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[14,0,0],[13,2,0],[13,8,0],[8,31,0],[5,45,0],[0,95,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"147dea10-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[1777.5,148.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393410872,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[39,logseq____"^Blogseq____",1697393412413,536870918]],[logseq____"^15logseq____",[39,logseq____"^;logseq____",logseq____"~u147dea10-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[40,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[40,logseq____"^Klogseq____",1697393429358,536870918]],[logseq____"^15logseq____",[40,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[40,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[40,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[40,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",11,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[0,178,0],[0,179,0],[4,181,0],[124,202,0],[143,201,0],[186,195,0],[223,185,0],[261,169,0],[286,157,0],[332,135,0],[352,123,0],[385,101,0],[399,90,0],[423,66,0],[435,53,0],[458,32,0],[467,24,0],[480,12,0],[496,0,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"1e1beb80-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[1838.5,676.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393427020,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[40,logseq____"^Blogseq____",1697393429358,536870918]],[logseq____"^15logseq____",[40,logseq____"^;logseq____",logseq____"~u1e1beb80-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[41,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[41,logseq____"^Klogseq____",1697393544592,536870918]],[logseq____"^15logseq____",[41,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[41,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[41,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[41,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",19,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[0,0,0],[0,1,0],[0,6,0],[0,14,0],[1,31,0],[2,40,0],[3,52,0],[4,58,0],[7,67,0],[8,71,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"62cf5a50-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[625.5,628.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393542273,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[41,logseq____"^Blogseq____",1697393544592,536870918]],[logseq____"^15logseq____",[41,logseq____"^;logseq____",logseq____"~u62cf5a50-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[42,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[42,logseq____"^Klogseq____",1697393409577,536870918]],[logseq____"^15logseq____",[42,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[42,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[42,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[42,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",4,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[16,0,0],[16,1,0],[13,16,0],[9,34,0],[1,70,0],[0,79,0],[0,87,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"13534cc0-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[962.5,190.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393408916,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[42,logseq____"^Blogseq____",1697393409577,536870918]],[logseq____"^15logseq____",[42,logseq____"^;logseq____",logseq____"~u13534cc0-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[43,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[43,logseq____"^Klogseq____",1697393411189,536870918]],[logseq____"^15logseq____",[43,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[43,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[43,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[43,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",5,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[6,0,0],[6,1,0],[5,2,0],[4,12,0],[2,30,0],[0,44,0],[0,70,0],[2,96,0],[4,111,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"138706f0-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[1067.5,173.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393409257,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[43,logseq____"^Blogseq____",1697393411189,536870918]],[logseq____"^15logseq____",[43,logseq____"^;logseq____",logseq____"~u138706f0-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[44,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[44,logseq____"^Klogseq____",1697393431361,536870918]],[logseq____"^15logseq____",[44,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[44,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[44,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[44,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",12,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[0,0,0],[2,4,0],[5,14,0],[12,47,0],[14,65,0],[19,91,0],[21,103,0],[27,125,0],[32,137,0],[46,161,0],[68,188,0],[80,200,0],[92,212,0],[117,234,0],[130,243,0],[159,263,0],[173,270,0],[203,279,0],[219,282,0],[251,282,0],[267,282,0],[300,274,0],[319,269,0],[354,253,0],[371,245,0],[406,223,0],[422,212,0],[444,194,0],[465,178,0],[490,156,0],[501,147,0],[515,134,0],[526,126,0],[534,122,0],[538,121,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"1f082040-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[1801.5,308.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393428584,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[44,logseq____"^Blogseq____",1697393431361,536870918]],[logseq____"^15logseq____",[44,logseq____"^;logseq____",logseq____"~u1f082040-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[45,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[45,logseq____"^Klogseq____",1697393540523,536870918]],[logseq____"^15logseq____",[45,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[45,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[45,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[45,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",15,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[0,0,0],[0,2,0],[0,4,0],[1,12,0],[3,39,0],[3,56,0],[4,71,0],[5,84,0],[6,96,0],[6,102,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"60d8ba70-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[189.5,681.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393538978,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[45,logseq____"^Blogseq____",1697393540523,536870918]],[logseq____"^15logseq____",[45,logseq____"^;logseq____",logseq____"~u60d8ba70-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[46,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[46,logseq____"^Klogseq____",1697393407903,536870918]],[logseq____"^15logseq____",[46,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[46,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[46,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[46,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",1,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[0,0,0],[0,3,0],[0,8,0],[0,24,0],[0,34,0],[1,48,0],[1,52,0],[2,67,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"124a8f50-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[436.5,217.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393407182,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[46,logseq____"^Blogseq____",1697393407903,536870918]],[logseq____"^15logseq____",[46,logseq____"^;logseq____",logseq____"~u124a8f50-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[47,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[47,logseq____"^Klogseq____",1697393409239,536870918]],[logseq____"^15logseq____",[47,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[47,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[47,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[47,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",3,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[20,0,0],[20,1,0],[19,5,0],[15,19,0],[11,32,0],[4,55,0],[1,65,0],[0,75,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"131c3730-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[869.5,181.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393408556,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[47,logseq____"^Blogseq____",1697393409239,536870918]],[logseq____"^15logseq____",[47,logseq____"^;logseq____",logseq____"~u131c3730-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[48,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[48,logseq____"^Klogseq____",1697393542082,536870918]],[logseq____"^15logseq____",[48,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[48,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[48,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[48,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",17,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[0,0,0],[0,2,0],[2,14,0],[3,29,0],[4,48,0],[5,67,0],[5,84,0],[7,129,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"61f80d20-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[341.5,646.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393540859,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[48,logseq____"^Blogseq____",1697393542082,536870918]],[logseq____"^15logseq____",[48,logseq____"^;logseq____",logseq____"~u61f80d20-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[49,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[49,logseq____"^Klogseq____",1697393423797,536870918]],[logseq____"^15logseq____",[49,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[49,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[49,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[49,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",8,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[0,0,0],[1,4,0],[5,8,0],[15,18,0],[22,23,0],[38,34,0],[48,38,0],[60,43,0],[79,48,0],[106,49,0],[122,50,0],[136,50,0],[164,47,0],[178,45,0],[207,41,0],[238,35,0],[252,32,0],[274,29,0],[296,24,0],[310,20,0],[316,18,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"15145db0-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[558.5,351.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393411873,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[49,logseq____"^Blogseq____",1697393423797,536870918]],[logseq____"^15logseq____",[49,logseq____"^;logseq____",logseq____"~u15145db0-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[50,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[50,logseq____"^Klogseq____",1697393427775,536870918]],[logseq____"^15logseq____",[50,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[50,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[50,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[50,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",10,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[1,0,0],[1,2,0],[0,9,0],[0,18,0],[0,29,0],[1,39,0],[2,55,0],[4,65,0],[7,78,0],[10,87,0],[23,106,0],[30,113,0],[51,131,0],[63,139,0],[90,152,0],[102,156,0],[131,165,0],[143,168,0],[174,174,0],[191,176,0],[215,177,0],[237,177,0],[261,176,0],[269,175,0],[284,176,0],[291,176,0],[295,175,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"1c996a30-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[1203.5,403.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393424495,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[50,logseq____"^Blogseq____",1697393427775,536870918]],[logseq____"^15logseq____",[50,logseq____"^;logseq____",logseq____"~u1c996a30-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[51,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[51,logseq____"^Klogseq____",1697393547842,536870918]],[logseq____"^15logseq____",[51,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[51,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[51,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[51,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",21,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[11,0,0],[11,1,0],[11,2,0],[11,9,0],[10,13,0],[9,21,0],[9,24,0],[9,32,0],[8,35,0],[7,42,0],[5,49,0],[3,62,0],[1,67,0],[0,76,0],[0,78,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"6458e080-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[755.5,644.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393544856,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[51,logseq____"^Blogseq____",1697393547842,536870918]],[logseq____"^15logseq____",[51,logseq____"^;logseq____",logseq____"~u6458e080-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[52,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[52,logseq____"^Klogseq____",1697393408892,536870918]],[logseq____"^15logseq____",[52,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[52,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[52,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[52,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",2,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[3,0,0],[3,1,0],[3,3,0],[2,11,0],[1,35,0],[0,49,0],[0,59,0],[0,63,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"12857570-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[548.5,206.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393407568,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[52,logseq____"^Blogseq____",1697393408892,536870918]],[logseq____"^15logseq____",[52,logseq____"^;logseq____",logseq____"~u12857570-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[53,logseq____"^Qlogseq____",logseq____"whiteboard pencillogseq____",536870918]],[logseq____"^15logseq____",[53,logseq____"^Klogseq____",1697393569296,536870918]],[logseq____"^15logseq____",[53,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[53,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[53,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[53,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",logseq____"^1Alogseq____",logseq____"^1Blogseq____",[logseq____"^ logseq____",logseq____"^1Clogseq____",logseq____"logseq____",logseq____"^1Dlogseq____",22,logseq____"^1Elogseq____",[1,1],logseq____"^1Flogseq____",logseq____"mdlogseq____",logseq____"^1Glogseq____",logseq____"logseq____",logseq____"^1Hlogseq____",logseq____"pencillogseq____",logseq____"^1Ilogseq____",[[0,70,0],[1,71,0],[7,72,0],[30,77,0],[36,77,0],[46,77,0],[56,77,0],[80,73,0],[93,69,0],[115,61,0],[135,52,0],[159,43,0],[180,34,0],[202,23,0],[219,14,0],[228,9,0],[243,2,0],[248,1,0],[249,0,0]],logseq____"^1Jlogseq____",logseq____"linelogseq____",logseq____"^1Klogseq____",2,logseq____"^1Llogseq____",1,logseq____"^1;logseq____",logseq____"65cf2cd0-6b86-11ee-a673-27a2873cc90flogseq____",logseq____"^1Mlogseq____",true,logseq____"^1Nlogseq____",[355.5,850.5],logseq____"^1Ologseq____",logseq____"652c2aed-da8b-4770-9a77-c4ea035fa51dlogseq____",logseq____"^1logseq____>logseq____",1697393547313,logseq____"^1Plogseq____",true]],536870918]],[logseq____"^15logseq____",[53,logseq____"^Blogseq____",1697393569296,536870918]],[logseq____"^15logseq____",[53,logseq____"^;logseq____",logseq____"~u65cf2cd0-6b86-11ee-a673-27a2873cc90flogseq____",536870918]],[logseq____"^15logseq____",[56,logseq____"^Klogseq____",1697761517948,536870920]],[logseq____"^15logseq____",[56,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[56,logseq____"^@logseq____",false,536870920]],[logseq____"^15logseq____",[56,logseq____"^Ylogseq____",logseq____"auffrischung mathematiklogseq____",536870920]],[logseq____"^15logseq____",[56,logseq____"^11logseq____",logseq____"Auffrischung Mathematiklogseq____",536870920]],[logseq____"^15logseq____",[56,logseq____"^Blogseq____",1697761517948,536870920]],[logseq____"^15logseq____",[56,logseq____"^;logseq____",logseq____"~u6531c8ef-30fb-462b-bca9-4ce22c80e26alogseq____",536870932]],[logseq____"^15logseq____",[57,logseq____"^Qlogseq____",logseq____"logseq____",536870920]],[logseq____"^15logseq____",[57,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[57,logseq____"^Flogseq____",56,536870920]],[logseq____"^15logseq____",[57,logseq____"^Xlogseq____",56,536870920]],[logseq____"^15logseq____",[57,logseq____"^Vlogseq____",56,536870920]],[logseq____"^15logseq____",[57,logseq____"^Ulogseq____",56,536870920]],[logseq____"^15logseq____",[57,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[57,logseq____"^;logseq____",logseq____"~u6531c8ed-7df7-41fc-93bc-bbe30bd1896blogseq____",536870920]],[logseq____"^15logseq____",[59,logseq____"^Klogseq____",1697761518251,536870921]],[logseq____"^15logseq____",[59,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[59,logseq____"^Ylogseq____",logseq____"quadratische ergänzunglogseq____",536870921]],[logseq____"^15logseq____",[59,logseq____"^11logseq____",logseq____"Quadratische Ergänzunglogseq____",536870921]],[logseq____"^15logseq____",[59,logseq____"^Blogseq____",1697761518251,536870921]],[logseq____"^15logseq____",[59,logseq____"^;logseq____",logseq____"~u6531c8ee-3ccc-42cf-8cb3-35af3759ef98logseq____",536870921]],[logseq____"^15logseq____",[60,logseq____"^Klogseq____",1697761518243,536870921]],[logseq____"^15logseq____",[60,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[60,logseq____"^Ylogseq____",logseq____"potenzenlogseq____",536870921]],[logseq____"^15logseq____",[60,logseq____"^11logseq____",logseq____"Potenzenlogseq____",536870921]],[logseq____"^15logseq____",[60,logseq____"^Blogseq____",1697761518243,536870921]],[logseq____"^15logseq____",[60,logseq____"^;logseq____",logseq____"~u6531c8ee-3d42-44d5-97f3-a0d8d432634flogseq____",536870921]],[logseq____"^15logseq____",[61,logseq____"^Klogseq____",1697761518240,536870921]],[logseq____"^15logseq____",[61,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[61,logseq____"^Ylogseq____",logseq____"pascalsches dreiecklogseq____",536870921]],[logseq____"^15logseq____",[61,logseq____"^11logseq____",logseq____"Pascalsches Dreiecklogseq____",536870921]],[logseq____"^15logseq____",[61,logseq____"^Blogseq____",1697761518240,536870921]],[logseq____"^15logseq____",[61,logseq____"^;logseq____",logseq____"~u6531c8ee-0622-445a-8f9c-b30935a95004logseq____",536870921]],[logseq____"^15logseq____",[62,logseq____"^Klogseq____",1697761518249,536870921]],[logseq____"^15logseq____",[62,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[62,logseq____"^Ylogseq____",logseq____"quadratische gleichungenlogseq____",536870921]],[logseq____"^15logseq____",[62,logseq____"^11logseq____",logseq____"Quadratische Gleichungenlogseq____",536870921]],[logseq____"^15logseq____",[62,logseq____"^Blogseq____",1697761518249,536870921]],[logseq____"^15logseq____",[62,logseq____"^;logseq____",logseq____"~u6531c8ee-9bf4-42ef-b92d-28371794b83blogseq____",536870921]],[logseq____"^15logseq____",[63,logseq____"^Klogseq____",1697761518253,536870921]],[logseq____"^15logseq____",[63,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[63,logseq____"^Ylogseq____",logseq____"wurzelgleichunglogseq____",536870921]],[logseq____"^15logseq____",[63,logseq____"^11logseq____",logseq____"Wurzelgleichunglogseq____",536870921]],[logseq____"^15logseq____",[63,logseq____"^Blogseq____",1697761518253,536870921]],[logseq____"^15logseq____",[63,logseq____"^;logseq____",logseq____"~u6531c8ee-735c-4dc4-bd79-eb838d0e0977logseq____",536870921]],[logseq____"^15logseq____",[64,logseq____"^Klogseq____",1697761518230,536870921]],[logseq____"^15logseq____",[64,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[64,logseq____"^Ylogseq____",logseq____"logarithmenlogseq____",536870921]],[logseq____"^15logseq____",[64,logseq____"^11logseq____",logseq____"Logarithmenlogseq____",536870921]],[logseq____"^15logseq____",[64,logseq____"^Blogseq____",1697761518230,536870921]],[logseq____"^15logseq____",[64,logseq____"^;logseq____",logseq____"~u6531c8ef-059d-4ae3-934e-7196752dfa22logseq____",536870926]],[logseq____"^15logseq____",[65,logseq____"^Klogseq____",1697761518242,536870921]],[logseq____"^15logseq____",[65,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[65,logseq____"^Ylogseq____",logseq____"binomialkoeffizientlogseq____",536870921]],[logseq____"^15logseq____",[65,logseq____"^11logseq____",logseq____"Binomialkoeffizientlogseq____",536870921]],[logseq____"^15logseq____",[65,logseq____"^Blogseq____",1697761518242,536870921]],[logseq____"^15logseq____",[65,logseq____"^;logseq____",logseq____"~u6531c8ee-6017-4bcb-9658-07e1f9510b17logseq____",536870921]],[logseq____"^15logseq____",[66,logseq____"^Klogseq____",1697761518229,536870921]],[logseq____"^15logseq____",[66,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[66,logseq____"^Ylogseq____",logseq____"gleichungenlogseq____",536870921]],[logseq____"^15logseq____",[66,logseq____"^11logseq____",logseq____"Gleichungenlogseq____",536870921]],[logseq____"^15logseq____",[66,logseq____"^Blogseq____",1697761518229,536870921]],[logseq____"^15logseq____",[66,logseq____"^;logseq____",logseq____"~u6531c8ee-db4b-4d3a-a179-18dcd9a483d2logseq____",536870921]],[logseq____"^15logseq____",[67,logseq____"^Klogseq____",1697761518237,536870921]],[logseq____"^15logseq____",[67,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[67,logseq____"^Ylogseq____",logseq____"binomische formelnlogseq____",536870921]],[logseq____"^15logseq____",[67,logseq____"^11logseq____",logseq____"Binomische Formelnlogseq____",536870921]],[logseq____"^15logseq____",[67,logseq____"^Blogseq____",1697761518237,536870921]],[logseq____"^15logseq____",[67,logseq____"^;logseq____",logseq____"~u6531c8ee-a4bc-45a8-8a9c-13e7bb6165aelogseq____",536870921]],[logseq____"^15logseq____",[68,logseq____"^Klogseq____",1697761518252,536870921]],[logseq____"^15logseq____",[68,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[68,logseq____"^Ylogseq____",logseq____"beispielelogseq____",536870921]],[logseq____"^15logseq____",[68,logseq____"^11logseq____",logseq____"Beispielelogseq____",536870921]],[logseq____"^15logseq____",[68,logseq____"^Blogseq____",1697761518252,536870921]],[logseq____"^15logseq____",[68,logseq____"^;logseq____",logseq____"~u6531c8ef-f66d-4a21-9516-ae197b5d929elogseq____",536870925]],[logseq____"^15logseq____",[69,logseq____"^Klogseq____",1697761518235,536870921]],[logseq____"^15logseq____",[69,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[69,logseq____"^Ylogseq____",logseq____"trigonometrielogseq____",536870921]],[logseq____"^15logseq____",[69,logseq____"^11logseq____",logseq____"Trigonometrielogseq____",536870921]],[logseq____"^15logseq____",[69,logseq____"^Blogseq____",1697761518235,536870921]],[logseq____"^15logseq____",[69,logseq____"^;logseq____",logseq____"~u6531c8ee-544c-44da-80e3-491a1023f5bblogseq____",536870921]],[logseq____"^15logseq____",[70,logseq____"^Klogseq____",1697761518245,536870921]],[logseq____"^15logseq____",[70,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[70,logseq____"^Ylogseq____",logseq____"wurzelnlogseq____",536870921]],[logseq____"^15logseq____",[70,logseq____"^11logseq____",logseq____"Wurzelnlogseq____",536870921]],[logseq____"^15logseq____",[70,logseq____"^Blogseq____",1697761518245,536870921]],[logseq____"^15logseq____",[70,logseq____"^;logseq____",logseq____"~u6531c8ee-308f-43ab-96ff-2d3e547a716alogseq____",536870921]],[logseq____"^15logseq____",[71,logseq____"^Klogseq____",1697761518243,536870921]],[logseq____"^15logseq____",[71,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[71,logseq____"^Ylogseq____",logseq____"pascalsche dreiecklogseq____",536870921]],[logseq____"^15logseq____",[71,logseq____"^11logseq____",logseq____"Pascalsche Dreiecklogseq____",536870921]],[logseq____"^15logseq____",[71,logseq____"^Blogseq____",1697761518243,536870921]],[logseq____"^15logseq____",[71,logseq____"^;logseq____",logseq____"~u6531c8ee-d40a-4772-a6ad-58b4bced70a7logseq____",536870921]],[logseq____"^15logseq____",[72,logseq____"^Klogseq____",1697761518248,536870921]],[logseq____"^15logseq____",[72,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[72,logseq____"^Ylogseq____",logseq____"rationalmachenlogseq____",536870921]],[logseq____"^15logseq____",[72,logseq____"^11logseq____",logseq____"Rationalmachenlogseq____",536870921]],[logseq____"^15logseq____",[72,logseq____"^Blogseq____",1697761518248,536870921]],[logseq____"^15logseq____",[72,logseq____"^;logseq____",logseq____"~u6531c8ee-70c7-407e-949e-2cd23665a0eflogseq____",536870921]],[logseq____"^15logseq____",[73,logseq____"^Klogseq____",1697761518244,536870921]],[logseq____"^15logseq____",[73,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[73,logseq____"^Ylogseq____",logseq____"auffrischung mathematik/23-10-04logseq____",536870921]],[logseq____"^15logseq____",[73,logseq____"^Alogseq____",56,536870921]],[logseq____"^15logseq____",[73,logseq____"^11logseq____",logseq____"Auffrischung Mathematik/23-10-04logseq____",536870921]],[logseq____"^15logseq____",[73,logseq____"^Blogseq____",1697761518244,536870921]],[logseq____"^15logseq____",[73,logseq____"^;logseq____",logseq____"~u6531c8ee-6917-48c7-a256-e4a07a258724logseq____",536870921]],[logseq____"^15logseq____",[74,logseq____"^Klogseq____",1697761518251,536870921]],[logseq____"^15logseq____",[74,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[74,logseq____"^Ylogseq____",logseq____"satz von vietalogseq____",536870921]],[logseq____"^15logseq____",[74,logseq____"^11logseq____",logseq____"Satz von Vietalogseq____",536870921]],[logseq____"^15logseq____",[74,logseq____"^Blogseq____",1697761518251,536870921]],[logseq____"^15logseq____",[74,logseq____"^;logseq____",logseq____"~u6531c8ee-4c27-4cc1-b4e1-42b4eddf04c0logseq____",536870921]],[logseq____"^15logseq____",[75,logseq____"^Klogseq____",1697761518246,536870921]],[logseq____"^15logseq____",[75,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[75,logseq____"^Ylogseq____",logseq____"fixmelogseq____",536870921]],[logseq____"^15logseq____",[75,logseq____"^11logseq____",logseq____"FIXMElogseq____",536870921]],[logseq____"^15logseq____",[75,logseq____"^Blogseq____",1697761518246,536870921]],[logseq____"^15logseq____",[75,logseq____"^;logseq____",logseq____"~u6531c8ef-f58c-4c52-b11f-1ab5d96b64d0logseq____",536870925]],[logseq____"^15logseq____",[76,logseq____"^Klogseq____",1697761518250,536870921]],[logseq____"^15logseq____",[76,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[76,logseq____"^Ylogseq____",logseq____"pq-formellogseq____",536870921]],[logseq____"^15logseq____",[76,logseq____"^11logseq____",logseq____"pq-Formellogseq____",536870921]],[logseq____"^15logseq____",[76,logseq____"^Blogseq____",1697761518250,536870921]],[logseq____"^15logseq____",[76,logseq____"^;logseq____",logseq____"~u6531c8ee-05d9-4248-8c9d-b6e823921c21logseq____",536870921]],[logseq____"^15logseq____",[77,logseq____"^Klogseq____",1697761518225,536870921]],[logseq____"^15logseq____",[77,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[77,logseq____"^Ylogseq____",logseq____"linkslogseq____",536870921]],[logseq____"^15logseq____",[77,logseq____"^11logseq____",logseq____"Linkslogseq____",536870921]],[logseq____"^15logseq____",[77,logseq____"^Blogseq____",1697761518225,536870921]],[logseq____"^15logseq____",[77,logseq____"^;logseq____",logseq____"~u6531c8ee-727b-4371-8b59-98471dd6aeablogseq____",536870921]],[logseq____"^15logseq____",[78,logseq____"^Klogseq____",1697761518247,536870921]],[logseq____"^15logseq____",[78,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[78,logseq____"^Ylogseq____",logseq____"nennerlogseq____",536870921]],[logseq____"^15logseq____",[78,logseq____"^11logseq____",logseq____"Nennerlogseq____",536870921]],[logseq____"^15logseq____",[78,logseq____"^Blogseq____",1697761518247,536870921]],[logseq____"^15logseq____",[78,logseq____"^;logseq____",logseq____"~u6531c8ee-2076-4fb0-929f-aba52ad6c2f2logseq____",536870921]],[logseq____"^15logseq____",[79,logseq____"^Klogseq____",1697761518226,536870921]],[logseq____"^15logseq____",[79,logseq____"^@logseq____",false,536870921]],[logseq____"^15logseq____",[79,logseq____"^Ylogseq____",logseq____"wolframalphalogseq____",536870921]],[logseq____"^15logseq____",[79,logseq____"^11logseq____",logseq____"Wolframalphalogseq____",536870921]],[logseq____"^15logseq____",[79,logseq____"^Blogseq____",1697761518226,536870921]],[logseq____"^15logseq____",[79,logseq____"^;logseq____",logseq____"~u6531c8ee-4ab4-43ab-ad24-fb16c2c54df1logseq____",536870921]],[logseq____"^15logseq____",[80,logseq____"^Qlogseq____",logseq____"#FIXME $(1+\\\\sqrt x)^5*(1-\\\\sqrt x)^5=2+20x+40x^2$ ist Falschlogseq____",536870921]],[logseq____"^15logseq____",[80,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[80,logseq____"^Flogseq____",97,536870921]],[logseq____"^15logseq____",[80,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[80,logseq____"^Vlogseq____",83,536870921]],[logseq____"^15logseq____",[80,logseq____"^Ulogseq____",61,536870921]],[logseq____"^15logseq____",[80,logseq____"^Ulogseq____",67,536870921]],[logseq____"^15logseq____",[80,logseq____"^Ulogseq____",68,536870921]],[logseq____"^15logseq____",[80,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[80,logseq____"^Ulogseq____",75,536870921]],[logseq____"^15logseq____",[80,logseq____"^Hlogseq____",75,536870921]],[logseq____"^15logseq____",[80,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[80,logseq____"^;logseq____",logseq____"~u6531c8ee-3c4d-4929-b82e-874ce3724afclogseq____",536870921]],[logseq____"^15logseq____",[81,logseq____"^Qlogseq____",logseq____"$\\\\text{Allgemein}$\\n\\\\begin{align}\\n|y|logseq____&=\\\\begin{cases}\\ny logseq____&\\\\text{ falls } y\\\\ge0\\\\\\\\\\n-y logseq____&\\\\text{ falls } ylogseq____<0\\\\\\\\\\n\\\\end{cases}\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[81,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[81,logseq____"^Flogseq____",128,536870921]],[logseq____"^15logseq____",[81,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[81,logseq____"^Vlogseq____",109,536870921]],[logseq____"^15logseq____",[81,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[81,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[81,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[81,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[81,logseq____"^;logseq____",logseq____"~u6531c8ee-6487-4c27-9530-a4aaf984e3d5logseq____",536870921]],[logseq____"^15logseq____",[82,logseq____"^Qlogseq____",logseq____"$\\\\text{Welche quadratische Gleichung hat die Lösung}$\\n$x_1=3\\\\quad x_2=4$\\n\\\\begin{align}\\nx_1+x_2 = 7 logseq____&= p logseq____&, x_1x_2=12=q\\\\\\\\\\nx^2+px+qlogseq____&=0\\\\\\\\\\nx^2-7x+12logseq____&=0\\\\\\\\\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[82,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[82,logseq____"^Flogseq____",98,536870921]],[logseq____"^15logseq____",[82,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[82,logseq____"^Vlogseq____",98,536870921]],[logseq____"^15logseq____",[82,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[82,logseq____"^Ulogseq____",62,536870921]],[logseq____"^15logseq____",[82,logseq____"^Ulogseq____",68,536870921]],[logseq____"^15logseq____",[82,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[82,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[82,logseq____"^Ulogseq____",74,536870921]],[logseq____"^15logseq____",[82,logseq____"^Ulogseq____",76,536870921]],[logseq____"^15logseq____",[82,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[82,logseq____"^;logseq____",logseq____"~u6531c8ee-d66b-4ffa-9c37-6d94249eef2clogseq____",536870921]],[logseq____"^15logseq____",[83,logseq____"^Qlogseq____",logseq____"[[Beispiele]]logseq____",536870921]],[logseq____"^15logseq____",[83,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[83,logseq____"^Flogseq____",136,536870921]],[logseq____"^15logseq____",[83,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[83,logseq____"^Vlogseq____",104,536870921]],[logseq____"^15logseq____",[83,logseq____"^Ulogseq____",61,536870921]],[logseq____"^15logseq____",[83,logseq____"^Ulogseq____",67,536870921]],[logseq____"^15logseq____",[83,logseq____"^Ulogseq____",68,536870921]],[logseq____"^15logseq____",[83,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[83,logseq____"^Hlogseq____",68,536870921]],[logseq____"^15logseq____",[83,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[83,logseq____"^;logseq____",logseq____"~u6531c8ee-4bf2-430d-8ad1-4bdbd9929fc9logseq____",536870921]],[logseq____"^15logseq____",[84,logseq____"^Qlogseq____",logseq____"$\\\\text{Beispiel für die 3. Binomische Formel}$\\n\\\\begin{align}\\n\\\\frac{\\\\frac1{a-b}+\\\\frac1{a+b}}{\\\\frac1{a-b}-\\\\frac1{a+b}}\\nlogseq____&=\\\\frac{\\\\frac{a+b+a-b}{(a+b)*(a-b)}}{\\\\frac{a+b-(a-b)}{(a+b)*(a-b)}}\\nlogseq____&=\\\\frac{a+b+a-b}{a+b-a+b}\\nlogseq____&=\\\\frac{2a}{2b}\\nlogseq____&=\\\\frac ab\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[84,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[84,logseq____"^Flogseq____",131,536870921]],[logseq____"^15logseq____",[84,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[84,logseq____"^Vlogseq____",119,536870921]],[logseq____"^15logseq____",[84,logseq____"^Ulogseq____",67,536870921]],[logseq____"^15logseq____",[84,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[84,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[84,logseq____"^;logseq____",logseq____"~u6531c8ee-8748-440a-b8f0-29c5886adf2blogseq____",536870921]],[logseq____"^15logseq____",[85,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\nax^2+bx+clogseq____&=0logseq____&|:a\\\\quadlogseq____&a\\\\ne0\\\\\\\\\\nx^2+\\\\frac ba x + \\\\frac ca logseq____&= 0\\\\\\\\\\nplogseq____&=\\\\frac ba,logseq____&q = \\\\frac ca\\\\\\\\\\nx^2+px+qlogseq____&=0\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[85,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[85,logseq____"^Flogseq____",92,536870921]],[logseq____"^15logseq____",[85,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[85,logseq____"^Vlogseq____",92,536870921]],[logseq____"^15logseq____",[85,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[85,logseq____"^Ulogseq____",62,536870921]],[logseq____"^15logseq____",[85,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[85,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[85,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[85,logseq____"^;logseq____",logseq____"~u6531c8ee-59ff-47e5-8eee-471495b6b404logseq____",536870921]],[logseq____"^15logseq____",[86,logseq____"^Qlogseq____",logseq____"# Was ist Größer?logseq____",536870921]],[logseq____"^15logseq____",[86,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[86,logseq____"^Flogseq____",93,536870921]],[logseq____"^15logseq____",[86,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[86,logseq____"^Vlogseq____",73,536870921]],[logseq____"^15logseq____",[86,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[86,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"~:headinglogseq____",1],536870921]],[logseq____"^15logseq____",[86,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[86,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[86,logseq____"^;logseq____",logseq____"~u6531c8ee-7209-47c6-99bb-74448c1bed20logseq____",536870921]],[logseq____"^15logseq____",[87,logseq____"^Qlogseq____",logseq____"$\\\\text{Welche }$[[Gleichungen]]$\\\\text{ sind richtig?}$\\n\\\\begin{align}\\ne^{x+y} logseq____&= e^x + e^y logseq____& ,f \\\\\\\\\\ne^{x+y} logseq____&= e^x * x^y logseq____& ,r \\\\\\\\\\ne^{x+y}logseq____&=e^{xy} logseq____& ,f\\\\\\\\\\ne^{ln(x+y)}logseq____&=x+y logseq____& ,x+ylogseq____>c \\\\\\\\\\ne^{ln(x+y)}logseq____&=e^x*e^ylogseq____&,f\\\\\\\\\\ne^{ln(x+y)}logseq____&=ln(e^x+y)logseq____&,x+ylogseq____>0\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[87,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[87,logseq____"^Flogseq____",111,536870921]],[logseq____"^15logseq____",[87,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[87,logseq____"^Vlogseq____",111,536870921]],[logseq____"^15logseq____",[87,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[87,logseq____"^Ulogseq____",66,536870921]],[logseq____"^15logseq____",[87,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[87,logseq____"^Hlogseq____",66,536870921]],[logseq____"^15logseq____",[87,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[87,logseq____"^;logseq____",logseq____"~u6531c8ee-d1d1-4ffd-8e4b-d236ad693c1clogseq____",536870921]],[logseq____"^15logseq____",[88,logseq____"^Qlogseq____",logseq____"[[Beispiele]]logseq____",536870921]],[logseq____"^15logseq____",[88,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[88,logseq____"^Flogseq____",114,536870921]],[logseq____"^15logseq____",[88,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[88,logseq____"^Vlogseq____",99,536870921]],[logseq____"^15logseq____",[88,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[88,logseq____"^Ulogseq____",68,536870921]],[logseq____"^15logseq____",[88,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[88,logseq____"^Ulogseq____",72,536870921]],[logseq____"^15logseq____",[88,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[88,logseq____"^Ulogseq____",78,536870921]],[logseq____"^15logseq____",[88,logseq____"^Hlogseq____",68,536870921]],[logseq____"^15logseq____",[88,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[88,logseq____"^;logseq____",logseq____"~u6531c8ee-6c31-4bb4-b08b-bb104e040dcclogseq____",536870921]],[logseq____"^15logseq____",[89,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\na^nlogseq____&=\\\\underbrace{a*a*\\\\cdots*n}_n logseq____& a,blogseq____>0\\\\\\\\\\na^2b^2logseq____&=(ab)^n\\\\\\\\\\n\\\\frac{a^n}{b^n}logseq____&=\\\\left(\\\\frac ab\\\\right)^n\\\\\\\\\\na^na^mlogseq____&=a^{n+m}\\\\\\\\\\n\\\\frac1{a^n}logseq____&=a^{-n}\\\\\\\\\\n(a^n)^mlogseq____&=a^{nm}\\\\\\\\\\na^0logseq____&=1\\\\\\\\\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[89,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[89,logseq____"^Flogseq____",105,536870921]],[logseq____"^15logseq____",[89,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[89,logseq____"^Vlogseq____",105,536870921]],[logseq____"^15logseq____",[89,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[89,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[89,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[89,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[89,logseq____"^;logseq____",logseq____"~u6531c8ee-d22f-4b89-978f-e4946cbe10falogseq____",536870921]],[logseq____"^15logseq____",[90,logseq____"^Qlogseq____",logseq____"$\\\\text{Für } x=\\\\frac25 \\\\text{ und } y=\\\\frac37 \\\\text{ ist }\\\\frac xy$\\n\\\\begin{align}\\n\\\\frac xy = \\\\frac{\\\\frac25}{\\\\frac37} = \\\\frac{2*7}{3*5}=\\\\frac{14}{15}\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[90,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[90,logseq____"^Flogseq____",86,536870921]],[logseq____"^15logseq____",[90,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[90,logseq____"^Vlogseq____",86,536870921]],[logseq____"^15logseq____",[90,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[90,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[90,logseq____"^;logseq____",logseq____"~u6531c8ee-cc81-4a2d-a9f5-073ace22febclogseq____",536870921]],[logseq____"^15logseq____",[91,logseq____"^Qlogseq____",logseq____"# Wissensabgleich [[Trigonometrie]]logseq____",536870921]],[logseq____"^15logseq____",[91,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[91,logseq____"^Flogseq____",86,536870921]],[logseq____"^15logseq____",[91,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[91,logseq____"^Vlogseq____",73,536870921]],[logseq____"^15logseq____",[91,logseq____"^Ulogseq____",69,536870921]],[logseq____"^15logseq____",[91,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[91,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870921]],[logseq____"^15logseq____",[91,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[91,logseq____"^Hlogseq____",69,536870921]],[logseq____"^15logseq____",[91,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[91,logseq____"^;logseq____",logseq____"~u6531c8ee-323e-4ad0-9011-94c4db86e596logseq____",536870921]],[logseq____"^15logseq____",[92,logseq____"^Qlogseq____",logseq____"# [[Quadratische Gleichungen]]logseq____",536870921]],[logseq____"^15logseq____",[92,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[92,logseq____"^Flogseq____",109,536870921]],[logseq____"^15logseq____",[92,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[92,logseq____"^Vlogseq____",124,536870921]],[logseq____"^15logseq____",[92,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[92,logseq____"^Ulogseq____",62,536870921]],[logseq____"^15logseq____",[92,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[92,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[92,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870921]],[logseq____"^15logseq____",[92,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[92,logseq____"^Hlogseq____",62,536870921]],[logseq____"^15logseq____",[92,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[92,logseq____"^;logseq____",logseq____"~u6531c8ee-f0ea-4919-9b08-1e02f114cfcalogseq____",536870921]],[logseq____"^15logseq____",[93,logseq____"^Qlogseq____",logseq____"# Wissensabgleich [[Wurzeln]]logseq____",536870921]],[logseq____"^15logseq____",[93,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[93,logseq____"^Flogseq____",113,536870921]],[logseq____"^15logseq____",[93,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[93,logseq____"^Vlogseq____",73,536870921]],[logseq____"^15logseq____",[93,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[93,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[93,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870921]],[logseq____"^15logseq____",[93,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[93,logseq____"^Hlogseq____",70,536870921]],[logseq____"^15logseq____",[93,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[93,logseq____"^;logseq____",logseq____"~u6531c8ee-8ad8-48da-992f-6d5692422e99logseq____",536870921]],[logseq____"^15logseq____",[94,logseq____"^Qlogseq____",logseq____"## [[Binomialkoeffizient]]logseq____",536870921]],[logseq____"^15logseq____",[94,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[94,logseq____"^Flogseq____",83,536870921]],[logseq____"^15logseq____",[94,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[94,logseq____"^Vlogseq____",104,536870921]],[logseq____"^15logseq____",[94,logseq____"^Ulogseq____",61,536870921]],[logseq____"^15logseq____",[94,logseq____"^Ulogseq____",65,536870921]],[logseq____"^15logseq____",[94,logseq____"^Ulogseq____",67,536870921]],[logseq____"^15logseq____",[94,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[94,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",2],536870921]],[logseq____"^15logseq____",[94,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[94,logseq____"^Hlogseq____",65,536870921]],[logseq____"^15logseq____",[94,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[94,logseq____"^;logseq____",logseq____"~u6531c8ee-ba36-4574-bce0-425ed293b621logseq____",536870921]],[logseq____"^15logseq____",[95,logseq____"^Qlogseq____",logseq____"$\\\\text{Alte Schreibweise}$\\n\\\\begin{align}\\n\\\\text{cosa }logseq____&\\\\text{plus }logseq____&\\\\text{cubus }logseq____&\\\\text{acq }logseq____&6\\\\\\\\\\nxlogseq____&+logseq____&x^3logseq____&=logseq____&6\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[95,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[95,logseq____"^Flogseq____",118,536870921]],[logseq____"^15logseq____",[95,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[95,logseq____"^Vlogseq____",105,536870921]],[logseq____"^15logseq____",[95,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[95,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[95,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[95,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[95,logseq____"^;logseq____",logseq____"~u6531c8ee-944d-4658-ae4f-f15a085040falogseq____",536870921]],[logseq____"^15logseq____",[96,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\n\\\\sqrt{a+5}-\\\\sqrt{x+3}logseq____&=2\\\\sqrt(x+1) logseq____&|logseq____&()^2\\\\\\\\\\n\\\\left(\\\\sqrt{x+5}-\\\\sqrt{x+3}\\\\right)^2logseq____&=4(x+1)\\\\\\\\\\n(x+5)-2\\\\sqrt{x+5}\\\\sqrt{x+3}+(x+3)logseq____&=4x+4logseq____&|logseq____&-(2x+8)\\\\\\\\\\n-2\\\\sqrt{(x+5)(x+3)}logseq____&=2x-4 logseq____&|logseq____&()^2\\\\\\\\\\n4(x+5)(x+3)logseq____&=4x^2-16x+16\\\\\\\\\\n4x^2+32x+60logseq____&=4x^2-16x+16logseq____&|logseq____&-4x^2+16x-16\\\\\\\\\\n48x+44logseq____&=0\\\\quad x=-\\\\frac{11}{12}\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[96,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[96,logseq____"^Flogseq____",106,536870921]],[logseq____"^15logseq____",[96,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[96,logseq____"^Vlogseq____",106,536870921]],[logseq____"^15logseq____",[96,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[96,logseq____"^Ulogseq____",63,536870921]],[logseq____"^15logseq____",[96,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[96,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[96,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[96,logseq____"^;logseq____",logseq____"~u6531c8ee-d470-4d71-971f-587108fb6902logseq____",536870921]],[logseq____"^15logseq____",[97,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\n(2x+y)^4logseq____&=(2x)^4+4*(2x)^3y+6*(2x)^2y^2+4*2xy^3+y^4\\\\notag\\\\\\\\\\nlogseq____&=16x^4+32x^3y+24x^2y^2+8xy^3+y^4\\\\\\\\\\n(1+\\\\sqrt x)^5*(1-\\\\sqrt x)^5logseq____&=2+20x+40x^2\\\\\\\\\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[97,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[97,logseq____"^Flogseq____",83,536870921]],[logseq____"^15logseq____",[97,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[97,logseq____"^Vlogseq____",83,536870921]],[logseq____"^15logseq____",[97,logseq____"^Ulogseq____",61,536870921]],[logseq____"^15logseq____",[97,logseq____"^Ulogseq____",67,536870921]],[logseq____"^15logseq____",[97,logseq____"^Ulogseq____",68,536870921]],[logseq____"^15logseq____",[97,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[97,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[97,logseq____"^;logseq____",logseq____"~u6531c8ee-5b1f-4e07-92f9-19cf8ed7763elogseq____",536870921]],[logseq____"^15logseq____",[98,logseq____"^Qlogseq____",logseq____"[Beispiel]([[Beispiele]])logseq____",536870921]],[logseq____"^15logseq____",[98,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[98,logseq____"^Flogseq____",112,536870921]],[logseq____"^15logseq____",[98,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[98,logseq____"^Vlogseq____",112,536870921]],[logseq____"^15logseq____",[98,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[98,logseq____"^Ulogseq____",62,536870921]],[logseq____"^15logseq____",[98,logseq____"^Ulogseq____",68,536870921]],[logseq____"^15logseq____",[98,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[98,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[98,logseq____"^Ulogseq____",74,536870921]],[logseq____"^15logseq____",[98,logseq____"^Ulogseq____",76,536870921]],[logseq____"^15logseq____",[98,logseq____"^Hlogseq____",68,536870921]],[logseq____"^15logseq____",[98,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[98,logseq____"^;logseq____",logseq____"~u6531c8ee-b577-46dd-a390-70aabd6827b5logseq____",536870921]],[logseq____"^15logseq____",[99,logseq____"^Qlogseq____",logseq____"## [[Rationalmachen]] des [[Nenner]]slogseq____",536870921]],[logseq____"^15logseq____",[99,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[99,logseq____"^Flogseq____",81,536870921]],[logseq____"^15logseq____",[99,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[99,logseq____"^Vlogseq____",109,536870921]],[logseq____"^15logseq____",[99,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[99,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[99,logseq____"^Ulogseq____",72,536870921]],[logseq____"^15logseq____",[99,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[99,logseq____"^Ulogseq____",78,536870921]],[logseq____"^15logseq____",[99,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",2],536870921]],[logseq____"^15logseq____",[99,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[99,logseq____"^Hlogseq____",72,536870921]],[logseq____"^15logseq____",[99,logseq____"^Hlogseq____",78,536870921]],[logseq____"^15logseq____",[99,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[99,logseq____"^;logseq____",logseq____"~u6531c8ee-6f40-408d-848c-8c7747b4c057logseq____",536870921]],[logseq____"^15logseq____",[100,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\n(a+b)^3(a^2+b^2)^3(a-b)^3logseq____&=(a^2+b^2)^3\\\\left((a+b)(a-b)\\\\right)^3\\\\notag\\\\\\\\\\nlogseq____&=(a^2+b^2)^3(a^2-b^2)^3\\\\notag\\\\\\\\\\nlogseq____&=\\\\left((a^2+b^2)(a^2-b^2)\\\\right)^3\\\\notag\\\\\\\\\\nlogseq____&=(a^4-b^4)^3\\\\\\\\\\n\\\\frac{a-b}{(a+b)^{-1}}logseq____&=(a-b)(a+b)\\\\notag\\\\\\\\\\nlogseq____&=a^2-b^2\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[100,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[100,logseq____"^Flogseq____",118,536870921]],[logseq____"^15logseq____",[100,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[100,logseq____"^Vlogseq____",118,536870921]],[logseq____"^15logseq____",[100,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[100,logseq____"^Ulogseq____",68,536870921]],[logseq____"^15logseq____",[100,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[100,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[100,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[100,logseq____"^;logseq____",logseq____"~u6531c8ee-d5ea-42e1-9c82-65ace4b04906logseq____",536870921]],[logseq____"^15logseq____",[101,logseq____"^Qlogseq____",logseq____"$\\\\text{Herleitung mit }$[[Quadratische Ergänzung]]\\n\\\\begin{align}\\nx^2+px+qlogseq____&=0logseq____&|logseq____&-q\\\\\\\\\\nx^2+pxlogseq____&=-qlogseq____&|logseq____&+\\\\left(\\\\frac p2\\\\right)^2\\\\\\\\\\nx^2+px+\\\\left(\\\\frac p2\\\\right)^2logseq____&=-q+\\\\left(\\\\frac p2\\\\right)^2\\\\\\\\\\n\\\\underbrace{\\\\left(x+\\\\frac p2\\\\right)^2}_\\\\text{1. binomische Formel}logseq____&=-q+\\\\left(\\\\frac p2\\\\right)^2logseq____&|logseq____&\\\\sqrt{()}\\\\\\\\\\n\\\\left|x+\\\\frac p2\\\\right|logseq____&=\\\\sqrt{\\\\frac{p^2}4-q}logseq____&,logseq____&\\\\text{ falls }\\\\frac{p^2}4-q\\\\ge0\\\\\\\\\\nx+\\\\frac p2logseq____&=\\\\pm\\\\sqrt{\\\\frac{p^2}4-q}logseq____&|logseq____&-\\\\frac p2\\\\\\\\\\nxlogseq____&=-\\\\frac p2\\\\pm\\\\sqrt{\\\\frac{p^2}4-q}\\\\\\\\\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[101,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[101,logseq____"^Flogseq____",134,536870921]],[logseq____"^15logseq____",[101,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[101,logseq____"^Vlogseq____",134,536870921]],[logseq____"^15logseq____",[101,logseq____"^Ulogseq____",59,536870921]],[logseq____"^15logseq____",[101,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[101,logseq____"^Ulogseq____",62,536870921]],[logseq____"^15logseq____",[101,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[101,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[101,logseq____"^Ulogseq____",76,536870921]],[logseq____"^15logseq____",[101,logseq____"^Hlogseq____",59,536870921]],[logseq____"^15logseq____",[101,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[101,logseq____"^;logseq____",logseq____"~u6531c8ee-a47a-4286-957e-698c6ef449e9logseq____",536870921]],[logseq____"^15logseq____",[102,logseq____"^Qlogseq____",logseq____"Einsetzen, um zu überprüfen, ob man eine Fallunterscheidung brauchtlogseq____",536870921]],[logseq____"^15logseq____",[102,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[102,logseq____"^Flogseq____",96,536870921]],[logseq____"^15logseq____",[102,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[102,logseq____"^Vlogseq____",106,536870921]],[logseq____"^15logseq____",[102,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[102,logseq____"^Ulogseq____",63,536870921]],[logseq____"^15logseq____",[102,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[102,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[102,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[102,logseq____"^;logseq____",logseq____"~u6531c8ee-686e-40a7-bf48-ad342531eaeblogseq____",536870921]],[logseq____"^15logseq____",[103,logseq____"^Qlogseq____",logseq____"https://www.wolframalpha.comlogseq____",536870921]],[logseq____"^15logseq____",[103,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[103,logseq____"^Flogseq____",125,536870921]],[logseq____"^15logseq____",[103,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[103,logseq____"^Vlogseq____",125,536870921]],[logseq____"^15logseq____",[103,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[103,logseq____"^Ulogseq____",77,536870921]],[logseq____"^15logseq____",[103,logseq____"^Ulogseq____",79,536870921]],[logseq____"^15logseq____",[103,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[103,logseq____"^;logseq____",logseq____"~u6531c8ee-6593-4f60-8bcc-e95e7f2a298alogseq____",536870921]],[logseq____"^15logseq____",[104,logseq____"^Qlogseq____",logseq____"## [[Pascalsches Dreieck]]logseq____",536870921]],[logseq____"^15logseq____",[104,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[104,logseq____"^Flogseq____",84,536870921]],[logseq____"^15logseq____",[104,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[104,logseq____"^Vlogseq____",119,536870921]],[logseq____"^15logseq____",[104,logseq____"^Ulogseq____",61,536870921]],[logseq____"^15logseq____",[104,logseq____"^Ulogseq____",67,536870921]],[logseq____"^15logseq____",[104,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[104,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",2],536870921]],[logseq____"^15logseq____",[104,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[104,logseq____"^Hlogseq____",61,536870921]],[logseq____"^15logseq____",[104,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[104,logseq____"^;logseq____",logseq____"~u6531c8ee-716d-49be-91a0-f41be5dcdfc5logseq____",536870921]],[logseq____"^15logseq____",[105,logseq____"^Qlogseq____",logseq____"# [[Potenzen]]logseq____",536870921]],[logseq____"^15logseq____",[105,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[105,logseq____"^Flogseq____",124,536870921]],[logseq____"^15logseq____",[105,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[105,logseq____"^Vlogseq____",124,536870921]],[logseq____"^15logseq____",[105,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[105,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[105,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[105,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870921]],[logseq____"^15logseq____",[105,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[105,logseq____"^Hlogseq____",60,536870921]],[logseq____"^15logseq____",[105,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[105,logseq____"^;logseq____",logseq____"~u6531c8ee-7185-4166-b131-9556d9728f7clogseq____",536870921]],[logseq____"^15logseq____",[106,logseq____"^Qlogseq____",logseq____"# [[Wurzelgleichung]]logseq____",536870921]],[logseq____"^15logseq____",[106,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[106,logseq____"^Flogseq____",92,536870921]],[logseq____"^15logseq____",[106,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[106,logseq____"^Vlogseq____",124,536870921]],[logseq____"^15logseq____",[106,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[106,logseq____"^Ulogseq____",63,536870921]],[logseq____"^15logseq____",[106,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[106,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[106,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870921]],[logseq____"^15logseq____",[106,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[106,logseq____"^Hlogseq____",63,536870921]],[logseq____"^15logseq____",[106,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[106,logseq____"^;logseq____",logseq____"~u6531c8ee-6ca5-45d7-9fa1-feef3802de2flogseq____",536870921]],[logseq____"^15logseq____",[107,logseq____"^Qlogseq____",logseq____"![draws/2023-10-08-21-23-31.excalidraw](https://raw.githubusercontent.com/Surferlul/IA-Logseq-Publish/external-assets/svg-assets/draws/2023-10-08-21-23-31.excalidraw.svg)logseq____",536870921]],[logseq____"^15logseq____",[107,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[107,logseq____"^Flogseq____",87,536870921]],[logseq____"^15logseq____",[107,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[107,logseq____"^Vlogseq____",111,536870921]],[logseq____"^15logseq____",[107,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[107,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[107,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[107,logseq____"^;logseq____",logseq____"~u6531c8ee-0650-4a9f-922d-99baeb57529elogseq____",536870921]],[logseq____"^15logseq____",[108,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\n\\\\underbrace{\\\\frac6{2+\\\\sqrt2}*\\\\frac{2-\\\\sqrt2}{2-\\\\sqrt2}\\n= \\\\frac{6(2-\\\\sqrt2)}{2^2-(\\\\sqrt2)^2}}_\\\\text{3. binomische Formel}\\nlogseq____&=\\\\frac{6(2-\\\\sqrt2)}2=3(2-\\\\sqrt2)\\\\\\\\\\n\\\\frac{a-b}{\\\\sqrt a+\\\\sqrt b}logseq____&=\\\\frac{a-b}{\\\\sqrt a + \\\\sqrt b}\\\\frac{\\\\sqrt a-\\\\sqrt b}{\\\\sqrt a-\\\\sqrt b}logseq____&, a,b,logseq____>0\\\\notag\\\\\\\\\\n=\\\\frac{(a-b)(\\\\sqrt a-\\\\sqrt b)}{(a-b)}logseq____&=\\\\sqrt a\\\\sqrt b\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[108,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[108,logseq____"^Flogseq____",88,536870921]],[logseq____"^15logseq____",[108,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[108,logseq____"^Vlogseq____",88,536870921]],[logseq____"^15logseq____",[108,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[108,logseq____"^Ulogseq____",68,536870921]],[logseq____"^15logseq____",[108,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[108,logseq____"^Ulogseq____",72,536870921]],[logseq____"^15logseq____",[108,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[108,logseq____"^Ulogseq____",78,536870921]],[logseq____"^15logseq____",[108,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[108,logseq____"^;logseq____",logseq____"~u6531c8ee-267c-4caf-98bf-d5a5ed2c2529logseq____",536870921]],[logseq____"^15logseq____",[109,logseq____"^Qlogseq____",logseq____"# [[Wurzeln]]logseq____",536870921]],[logseq____"^15logseq____",[109,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[109,logseq____"^Flogseq____",105,536870921]],[logseq____"^15logseq____",[109,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[109,logseq____"^Vlogseq____",124,536870921]],[logseq____"^15logseq____",[109,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[109,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[109,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[109,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870921]],[logseq____"^15logseq____",[109,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[109,logseq____"^Hlogseq____",70,536870921]],[logseq____"^15logseq____",[109,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[109,logseq____"^;logseq____",logseq____"~u6531c8ee-08f5-49a9-9af5-044f3ee0b74alogseq____",536870921]],[logseq____"^15logseq____",[110,logseq____"^Qlogseq____",logseq____"#FIXME gleichung (50) hat angeblich noch ne Zeile $=x^0+3ylogseq____>0$ welche keinen Sinn ergibtlogseq____",536870921]],[logseq____"^15logseq____",[110,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[110,logseq____"^Flogseq____",115,536870921]],[logseq____"^15logseq____",[110,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[110,logseq____"^Vlogseq____",128,536870921]],[logseq____"^15logseq____",[110,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[110,logseq____"^Ulogseq____",68,536870921]],[logseq____"^15logseq____",[110,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[110,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[110,logseq____"^Ulogseq____",75,536870921]],[logseq____"^15logseq____",[110,logseq____"^Hlogseq____",75,536870921]],[logseq____"^15logseq____",[110,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[110,logseq____"^;logseq____",logseq____"~u6531c8ee-fc45-442a-8df3-3aab768e66c2logseq____",536870921]],[logseq____"^15logseq____",[111,logseq____"^Qlogseq____",logseq____"# Wissensabgleich [[Potenzen]]logseq____",536870921]],[logseq____"^15logseq____",[111,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[111,logseq____"^Flogseq____",120,536870921]],[logseq____"^15logseq____",[111,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[111,logseq____"^Vlogseq____",73,536870921]],[logseq____"^15logseq____",[111,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[111,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[111,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870921]],[logseq____"^15logseq____",[111,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[111,logseq____"^Hlogseq____",60,536870921]],[logseq____"^15logseq____",[111,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[111,logseq____"^;logseq____",logseq____"~u6531c8ee-e55b-4cae-80f8-5c73aa0d844flogseq____",536870921]],[logseq____"^15logseq____",[112,logseq____"^Qlogseq____",logseq____"[[Satz von Vieta]]\\n\\\\begin{align}\\nx^2+px+qlogseq____&=0 logseq____&logseq____& \\\\text{habe }x_{1,2}\\\\text{ als Lösung}\\\\\\\\\\nx_1+x_2logseq____&=-p logseq____&logseq____& x_1*x_2=q\\\\\\\\\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[112,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[112,logseq____"^Flogseq____",101,536870921]],[logseq____"^15logseq____",[112,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[112,logseq____"^Vlogseq____",134,536870921]],[logseq____"^15logseq____",[112,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[112,logseq____"^Ulogseq____",62,536870921]],[logseq____"^15logseq____",[112,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[112,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[112,logseq____"^Ulogseq____",74,536870921]],[logseq____"^15logseq____",[112,logseq____"^Ulogseq____",76,536870921]],[logseq____"^15logseq____",[112,logseq____"^Hlogseq____",74,536870921]],[logseq____"^15logseq____",[112,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[112,logseq____"^;logseq____",logseq____"~u6531c8ee-27ed-448f-91b5-72484f84c0fflogseq____",536870921]],[logseq____"^15logseq____",[113,logseq____"^Qlogseq____",logseq____"# Wissensabgleich [[Logarithmen]]logseq____",536870921]],[logseq____"^15logseq____",[113,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[113,logseq____"^Flogseq____",111,536870921]],[logseq____"^15logseq____",[113,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[113,logseq____"^Vlogseq____",73,536870921]],[logseq____"^15logseq____",[113,logseq____"^Ulogseq____",64,536870921]],[logseq____"^15logseq____",[113,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[113,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870921]],[logseq____"^15logseq____",[113,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[113,logseq____"^Hlogseq____",64,536870921]],[logseq____"^15logseq____",[113,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[113,logseq____"^;logseq____",logseq____"~u6531c8ee-ff0c-4219-86c2-0109ded96af9logseq____",536870921]],[logseq____"^15logseq____",[114,logseq____"^Qlogseq____",logseq____"$\\\\text{Wenn }alogseq____>0\\\\text{, dann}$\\n\\\\begin{align}\\n\\\\frac b{\\\\sqrt a} = \\\\frac b{\\\\sqrt a}*\\\\frac{\\\\sqrt a}{\\\\sqrt a} = \\\\frac {b\\\\sqrt a}a\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[114,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[114,logseq____"^Flogseq____",99,536870921]],[logseq____"^15logseq____",[114,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[114,logseq____"^Vlogseq____",99,536870921]],[logseq____"^15logseq____",[114,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[114,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[114,logseq____"^Ulogseq____",72,536870921]],[logseq____"^15logseq____",[114,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[114,logseq____"^Ulogseq____",78,536870921]],[logseq____"^15logseq____",[114,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[114,logseq____"^;logseq____",logseq____"~u6531c8ee-8219-4864-b8dd-187529bb4321logseq____",536870921]],[logseq____"^15logseq____",[115,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\n\\\\sqrt{x^4+6x^2y+9y^2}logseq____&=\\\\sqrt{(x^2+3y)^2}=x^2+3y\\\\\\\\\\n\\\\sqrt {x + \\\\sqrt{x^2-y^2}}\\\\sqrt{x-\\\\sqrt{x^2-y^2}}logseq____&=\\\\sqrt{\\\\left(x + \\\\sqrt{x^2-y^2}\\\\right)\\\\left(x-\\\\sqrt{x^2-y^2}\\\\right)}\\\\notag\\\\\\\\\\nlogseq____&=\\\\sqrt{x^2-(x^2-y^2)}\\\\notag\\\\\\\\\\nlogseq____&=\\\\sqrt{y^2}=\\\\left|y\\\\right|\\\\\\\\\\n\\\\sqrt[5]{a\\\\sqrt[3]a}=\\\\sqrt[5]{\\\\sqrt[3]{a^3}\\\\sqrt[3]a}\\nlogseq____&=\\\\sqrt[5]{\\\\sqrt[3]{a^4}}\\n=\\\\sqrt[5]{a^\\\\frac43}\\n=a^{\\\\frac43\\\\frac15}=a^\\\\frac4{15}\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[115,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[115,logseq____"^Flogseq____",128,536870921]],[logseq____"^15logseq____",[115,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[115,logseq____"^Vlogseq____",128,536870921]],[logseq____"^15logseq____",[115,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[115,logseq____"^Ulogseq____",68,536870921]],[logseq____"^15logseq____",[115,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[115,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[115,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[115,logseq____"^;logseq____",logseq____"~u6531c8ee-fb1e-467c-9e39-e8a3aebcc796logseq____",536870921]],[logseq____"^15logseq____",[116,logseq____"^Qlogseq____",logseq____"#FIXME $\\\\sin^{-2}x+cos^2y=1,r$ ist falschlogseq____",536870921]],[logseq____"^15logseq____",[116,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[116,logseq____"^Flogseq____",117,536870921]],[logseq____"^15logseq____",[116,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[116,logseq____"^Vlogseq____",117,536870921]],[logseq____"^15logseq____",[116,logseq____"^Ulogseq____",69,536870921]],[logseq____"^15logseq____",[116,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[116,logseq____"^Ulogseq____",75,536870921]],[logseq____"^15logseq____",[116,logseq____"^Hlogseq____",75,536870921]],[logseq____"^15logseq____",[116,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[116,logseq____"^;logseq____",logseq____"~u6531c8ee-4f00-4689-ac4f-b19829801ef0logseq____",536870921]],[logseq____"^15logseq____",[117,logseq____"^Qlogseq____",logseq____"$\\\\text{Welche Gleichungen sind richtig?}$\\n\\\\begin{align}\\n\\\\tan x logseq____&= \\\\frac{\\\\sin x}{\\\\cos x} logseq____&, \\\\cos x \\\\ne 0\\\\\\\\\\n\\\\sin^{-2}x-\\\\cos^2xlogseq____&=1logseq____&,f\\\\\\\\\\n\\\\sin x = \\\\cos x logseq____&= 1 logseq____&, f\\\\\\\\\\n\\\\sin^{-2}x+cos^2ylogseq____&=1logseq____&,r\\\\\\\\\\n1+tan^2xlogseq____&=\\\\frac1{\\\\cos^2x}logseq____&,\\\\cos x\\\\ne0\\\\\\\\\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[117,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[117,logseq____"^Flogseq____",127,536870921]],[logseq____"^15logseq____",[117,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[117,logseq____"^Vlogseq____",91,536870921]],[logseq____"^15logseq____",[117,logseq____"^Ulogseq____",69,536870921]],[logseq____"^15logseq____",[117,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[117,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[117,logseq____"^;logseq____",logseq____"~u6531c8ee-09bc-4c96-b508-2635a418b77blogseq____",536870921]],[logseq____"^15logseq____",[118,logseq____"^Qlogseq____",logseq____"[[Beispiele]]logseq____",536870921]],[logseq____"^15logseq____",[118,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[118,logseq____"^Flogseq____",89,536870921]],[logseq____"^15logseq____",[118,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[118,logseq____"^Vlogseq____",105,536870921]],[logseq____"^15logseq____",[118,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[118,logseq____"^Ulogseq____",68,536870921]],[logseq____"^15logseq____",[118,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[118,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[118,logseq____"^Hlogseq____",68,536870921]],[logseq____"^15logseq____",[118,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[118,logseq____"^;logseq____",logseq____"~u6531c8ee-27d3-476b-af62-efba3ad358c7logseq____",536870921]],[logseq____"^15logseq____",[119,logseq____"^Qlogseq____",logseq____"# [[Binomische Formeln]]logseq____",536870921]],[logseq____"^15logseq____",[119,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[119,logseq____"^Flogseq____",91,536870921]],[logseq____"^15logseq____",[119,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[119,logseq____"^Vlogseq____",73,536870921]],[logseq____"^15logseq____",[119,logseq____"^Ulogseq____",67,536870921]],[logseq____"^15logseq____",[119,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[119,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870921]],[logseq____"^15logseq____",[119,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[119,logseq____"^Hlogseq____",67,536870921]],[logseq____"^15logseq____",[119,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[119,logseq____"^;logseq____",logseq____"~u6531c8ee-1a98-44e1-bff5-981d4b3bfe49logseq____",536870921]],[logseq____"^15logseq____",[120,logseq____"^Qlogseq____",logseq____"# [[Links]]logseq____",536870921]],[logseq____"^15logseq____",[120,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[120,logseq____"^Flogseq____",73,536870921]],[logseq____"^15logseq____",[120,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[120,logseq____"^Vlogseq____",73,536870921]],[logseq____"^15logseq____",[120,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[120,logseq____"^Ulogseq____",77,536870921]],[logseq____"^15logseq____",[120,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870921]],[logseq____"^15logseq____",[120,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[120,logseq____"^Hlogseq____",77,536870921]],[logseq____"^15logseq____",[120,logseq____"^17logseq____",false,536870921]],[logseq____"^15logseq____",[120,logseq____"^;logseq____",logseq____"~u6531c8ee-d0fb-40a7-9cf8-45a5845bfae4logseq____",536870921]],[logseq____"^15logseq____",[121,logseq____"^Qlogseq____",logseq____"$\\\\text{Häufige Falle:}$\\n\\\\begin{align}\\n\\\\left((-1)^2\\\\right)^\\\\frac12logseq____&=(-1)^\\\\frac22logseq____&=(-1)^1logseq____&=-1\\\\\\\\\\n\\\\left((-1)^2\\\\right)^\\\\frac12logseq____&=1^\\\\frac12logseq____&logseq____&=1\\\\\\\\\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[121,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[121,logseq____"^Flogseq____",122,536870921]],[logseq____"^15logseq____",[121,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[121,logseq____"^Vlogseq____",93,536870921]],[logseq____"^15logseq____",[121,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[121,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[121,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[121,logseq____"^;logseq____",logseq____"~u6531c8ee-29b2-4bae-a982-3493f48c257blogseq____",536870921]],[logseq____"^15logseq____",[122,logseq____"^Qlogseq____",logseq____"$\\\\text{Welche Gleichungen sind richtig?}$\\n$\\\\text{Wenn }alogseq____>0\\\\text{, dann}$\\n\\\\begin{align}\\n\\\\frac{a^2}{\\\\sqrt{a}}logseq____&=a\\\\sqrt{a}logseq____&,r\\\\\\\\\\n\\\\frac{a^2}{\\\\sqrt{a}}logseq____&=a^2-\\\\sqrt{a}logseq____&,f\\\\\\\\\\n\\\\frac{a^2}{\\\\sqrt{a}}logseq____&=\\\\sqrt{a^3}logseq____&,r\\\\\\\\\\n\\\\frac{a^2}{\\\\sqrt{a}}logseq____&=a^{\\\\frac32}logseq____&,r\\\\\\\\\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[122,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[122,logseq____"^Flogseq____",93,536870921]],[logseq____"^15logseq____",[122,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[122,logseq____"^Vlogseq____",93,536870921]],[logseq____"^15logseq____",[122,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[122,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[122,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[122,logseq____"^;logseq____",logseq____"~u6531c8ee-3363-424c-b4b4-c493a3f91d77logseq____",536870921]],[logseq____"^15logseq____",[123,logseq____"^Qlogseq____",logseq____"Das [[Pascalsche Dreieck]] lässt sich auch mit den entsprechenden Binomialkoeffizienten darstellenlogseq____",536870921]],[logseq____"^15logseq____",[123,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[123,logseq____"^Flogseq____",94,536870921]],[logseq____"^15logseq____",[123,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[123,logseq____"^Vlogseq____",94,536870921]],[logseq____"^15logseq____",[123,logseq____"^Ulogseq____",61,536870921]],[logseq____"^15logseq____",[123,logseq____"^Ulogseq____",65,536870921]],[logseq____"^15logseq____",[123,logseq____"^Ulogseq____",67,536870921]],[logseq____"^15logseq____",[123,logseq____"^Ulogseq____",71,536870921]],[logseq____"^15logseq____",[123,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[123,logseq____"^Hlogseq____",71,536870921]],[logseq____"^15logseq____",[123,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[123,logseq____"^;logseq____",logseq____"~u6531c8ee-d3ab-43f5-9a80-8b6ea98caba5logseq____",536870921]],[logseq____"^15logseq____",[124,logseq____"^Qlogseq____",logseq____"# [[Potenzen]] und [[Wurzeln]]logseq____",536870921]],[logseq____"^15logseq____",[124,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[124,logseq____"^Flogseq____",119,536870921]],[logseq____"^15logseq____",[124,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[124,logseq____"^Vlogseq____",73,536870921]],[logseq____"^15logseq____",[124,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[124,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[124,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[124,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870921]],[logseq____"^15logseq____",[124,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[124,logseq____"^Hlogseq____",60,536870921]],[logseq____"^15logseq____",[124,logseq____"^Hlogseq____",70,536870921]],[logseq____"^15logseq____",[124,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[124,logseq____"^;logseq____",logseq____"~u6531c8ee-193b-4054-9ebc-528b6b4bb5e1logseq____",536870921]],[logseq____"^15logseq____",[125,logseq____"^Qlogseq____",logseq____"[[Wolframalpha]]logseq____",536870921]],[logseq____"^15logseq____",[125,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[125,logseq____"^Flogseq____",120,536870921]],[logseq____"^15logseq____",[125,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[125,logseq____"^Vlogseq____",120,536870921]],[logseq____"^15logseq____",[125,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[125,logseq____"^Ulogseq____",77,536870921]],[logseq____"^15logseq____",[125,logseq____"^Ulogseq____",79,536870921]],[logseq____"^15logseq____",[125,logseq____"^Hlogseq____",79,536870921]],[logseq____"^15logseq____",[125,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[125,logseq____"^;logseq____",logseq____"~u6531c8ee-17b1-4b36-98d2-5f7ce10093cflogseq____",536870921]],[logseq____"^15logseq____",[126,logseq____"^Qlogseq____",logseq____"cosa -logseq____> beliebige Variable\\ncubus -logseq____> hoch 3logseq____",536870921]],[logseq____"^15logseq____",[126,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[126,logseq____"^Flogseq____",95,536870921]],[logseq____"^15logseq____",[126,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[126,logseq____"^Vlogseq____",95,536870921]],[logseq____"^15logseq____",[126,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[126,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[126,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[126,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[126,logseq____"^;logseq____",logseq____"~u6531c8ee-0077-4838-896d-a1e225bcf39elogseq____",536870921]],[logseq____"^15logseq____",[127,logseq____"^Qlogseq____",logseq____"$\\\\frac12 \\\\sqrt2, \\\\frac12, \\\\frac12\\\\sqrt3 \\\\text{ sind werte von }\\\\sin x$\\n\\\\begin{align}\\n\\\\sin 30\\\\degreelogseq____&=\\\\frac12\\\\\\\\\\n\\\\sin 45\\\\degree logseq____&= \\\\frac12\\\\sqrt2 \\\\\\\\\\n\\\\sin 60\\\\degree logseq____&= \\\\frac12 \\\\sqrt3 \\\\\\\\\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[127,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[127,logseq____"^Flogseq____",91,536870921]],[logseq____"^15logseq____",[127,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[127,logseq____"^Vlogseq____",91,536870921]],[logseq____"^15logseq____",[127,logseq____"^Ulogseq____",69,536870921]],[logseq____"^15logseq____",[127,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[127,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[127,logseq____"^;logseq____",logseq____"~u6531c8ee-ee68-47b2-9a87-f138182de6felogseq____",536870921]],[logseq____"^15logseq____",[128,logseq____"^Qlogseq____",logseq____"[[Beispiele]]logseq____",536870921]],[logseq____"^15logseq____",[128,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[128,logseq____"^Flogseq____",129,536870921]],[logseq____"^15logseq____",[128,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[128,logseq____"^Vlogseq____",109,536870921]],[logseq____"^15logseq____",[128,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[128,logseq____"^Ulogseq____",68,536870921]],[logseq____"^15logseq____",[128,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[128,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[128,logseq____"^Hlogseq____",68,536870921]],[logseq____"^15logseq____",[128,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[128,logseq____"^;logseq____",logseq____"~u6531c8ee-da82-4944-981f-73c181e34901logseq____",536870921]],[logseq____"^15logseq____",[129,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\n\\\\sqrt[n]{a^n}logseq____&=1^\\\\frac nn=a^1=a\\\\\\\\\\n\\\\sqrt[n]{\\\\frac ab} logseq____&= \\\\frac{\\\\sqrt[n]a}{\\\\sqrt[n]b}\\\\\\\\\\n\\\\left(\\\\sqrt[n]a\\\\right)^mlogseq____&=a^\\\\frac mn\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[129,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[129,logseq____"^Flogseq____",135,536870921]],[logseq____"^15logseq____",[129,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[129,logseq____"^Vlogseq____",109,536870921]],[logseq____"^15logseq____",[129,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[129,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[129,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[129,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[129,logseq____"^;logseq____",logseq____"~u6531c8ee-481d-4da7-98f4-d8c11daa924dlogseq____",536870921]],[logseq____"^15logseq____",[130,logseq____"^Qlogseq____",logseq____"$\\\\text{Allgemein}$\\n\\\\begin{align}\\n\\\\ln a + \\\\ln b logseq____&= \\\\ln(a*b) \\\\\\\\\\n\\\\ln(-a) logseq____&= \\\\frac1{\\\\ln a}\\\\\\\\\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[130,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[130,logseq____"^Flogseq____",132,536870921]],[logseq____"^15logseq____",[130,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[130,logseq____"^Vlogseq____",113,536870921]],[logseq____"^15logseq____",[130,logseq____"^Ulogseq____",64,536870921]],[logseq____"^15logseq____",[130,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[130,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[130,logseq____"^;logseq____",logseq____"~u6531c8ee-7390-4f04-82d8-d6cd8b03cbc3logseq____",536870921]],[logseq____"^15logseq____",[131,logseq____"^Qlogseq____",logseq____"$\\\\text{Allgemein}$\\n\\\\begin{align}\\n(a+b)^2logseq____&=a^2+2ab+b^2logseq____&,\\\\text{ 1. Binomische Formel}\\\\\\\\\\n(a-b)^2logseq____&=a^2-2ab+b^2logseq____&,\\\\text{ 2. Binomische Formel}\\\\\\\\\\n(a+b)(a-b)logseq____&=a^2-b^2logseq____&,\\\\text{ 3. Binomische Formel}\\\\\\\\\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[131,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[131,logseq____"^Flogseq____",119,536870921]],[logseq____"^15logseq____",[131,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[131,logseq____"^Vlogseq____",119,536870921]],[logseq____"^15logseq____",[131,logseq____"^Ulogseq____",67,536870921]],[logseq____"^15logseq____",[131,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[131,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[131,logseq____"^;logseq____",logseq____"~u6531c8ee-1932-42dd-bd64-76075b36ee43logseq____",536870921]],[logseq____"^15logseq____",[132,logseq____"^Qlogseq____",logseq____"$\\\\text{Welche Gleichungen sind richtig?}$\\n$\\\\text{Wenn } 10^x=y \\\\text{, dann}$\\n\\\\begin{align}\\nxlogseq____&=\\\\lg y logseq____& ,r\\\\\\\\\\nxlogseq____&=\\\\log_y10logseq____&,f\\\\\\\\\\nxlogseq____&=\\\\log_{10}ylogseq____&,r \\\\\\\\\\n\\\\ln 4 - \\\\ln 2 logseq____&= \\\\ln 2 logseq____&, r \\\\\\\\\\n\\\\ln 4 - \\\\ln 2 logseq____&= \\\\ln 8 logseq____&, f \\\\\\\\\\n\\\\ln 4 + \\\\ln 2 logseq____&= \\\\ln 8 logseq____&, r \\\\\\\\\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[132,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[132,logseq____"^Flogseq____",113,536870921]],[logseq____"^15logseq____",[132,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[132,logseq____"^Vlogseq____",113,536870921]],[logseq____"^15logseq____",[132,logseq____"^Ulogseq____",64,536870921]],[logseq____"^15logseq____",[132,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[132,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[132,logseq____"^;logseq____",logseq____"~u6531c8ee-b2e7-46aa-9b4a-61715c53d530logseq____",536870921]],[logseq____"^15logseq____",[133,logseq____"^Qlogseq____",logseq____"[Beispiel]([[Beispiele]])\\n\\\\begin{align}\\nx^4-34x^2+225logseq____&=0\\\\\\\\\\n\\\\text{substituiert }ylogseq____&=x^2\\\\\\\\\\ny^2-34y+225logseq____&=0\\\\\\\\\\ny_{1,2}logseq____&=17\\\\pm\\\\sqrt{(-17)^2-225}\\\\\\\\\\nlogseq____&=17\\\\pm\\\\sqrt{289-225}\\nlogseq____&=17\\\\pm\\\\sqrt{64}=17\\\\pm8\\\\\\\\\\nlogseq____&=\\\\left.\\\\begin{cases}\\n25\\\\\\\\\\n9\\n\\\\end{cases}\\\\right|\\\\begin{array}{l}\\nx^2=25logseq____&\\\\rightarrow logseq____&x_1=5;logseq____&x_2=-5\\\\\\\\\\nx^2=9logseq____&\\\\rightarrow logseq____&x_1=3;logseq____&x_2=-3\\\\\\\\\\n\\\\end{array}\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[133,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[133,logseq____"^Flogseq____",112,536870921]],[logseq____"^15logseq____",[133,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[133,logseq____"^Vlogseq____",134,536870921]],[logseq____"^15logseq____",[133,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[133,logseq____"^Ulogseq____",62,536870921]],[logseq____"^15logseq____",[133,logseq____"^Ulogseq____",68,536870921]],[logseq____"^15logseq____",[133,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[133,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[133,logseq____"^Ulogseq____",76,536870921]],[logseq____"^15logseq____",[133,logseq____"^Hlogseq____",68,536870921]],[logseq____"^15logseq____",[133,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[133,logseq____"^;logseq____",logseq____"~u6531c8ee-b946-4fdc-b8ac-3c082a49cf6flogseq____",536870921]],[logseq____"^15logseq____",[134,logseq____"^Qlogseq____",logseq____"## [[pq-Formel]]logseq____",536870921]],[logseq____"^15logseq____",[134,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[134,logseq____"^Flogseq____",85,536870921]],[logseq____"^15logseq____",[134,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[134,logseq____"^Vlogseq____",92,536870921]],[logseq____"^15logseq____",[134,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[134,logseq____"^Ulogseq____",62,536870921]],[logseq____"^15logseq____",[134,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[134,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[134,logseq____"^Ulogseq____",76,536870921]],[logseq____"^15logseq____",[134,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",2],536870921]],[logseq____"^15logseq____",[134,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[134,logseq____"^Hlogseq____",76,536870921]],[logseq____"^15logseq____",[134,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[134,logseq____"^;logseq____",logseq____"~u6531c8ee-5635-472c-8438-347e27879178logseq____",536870921]],[logseq____"^15logseq____",[135,logseq____"^Qlogseq____",logseq____"$\\\\text{Die Lösung von } x^n-a=0 \\\\text{ ist } x=\\\\sqrt[n]a$ #FIXME ich glaube hier fehlt logseq____>0 constraintlogseq____",536870921]],[logseq____"^15logseq____",[135,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[135,logseq____"^Flogseq____",109,536870921]],[logseq____"^15logseq____",[135,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[135,logseq____"^Vlogseq____",109,536870921]],[logseq____"^15logseq____",[135,logseq____"^Ulogseq____",60,536870921]],[logseq____"^15logseq____",[135,logseq____"^Ulogseq____",70,536870921]],[logseq____"^15logseq____",[135,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[135,logseq____"^Ulogseq____",75,536870921]],[logseq____"^15logseq____",[135,logseq____"^Hlogseq____",75,536870921]],[logseq____"^15logseq____",[135,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[135,logseq____"^;logseq____",logseq____"~u6531c8ee-f9cb-4659-812c-c20f2b0191fdlogseq____",536870921]],[logseq____"^15logseq____",[136,logseq____"^Qlogseq____",logseq____"\\\\begin{array}{c} (a+b)^0logseq____&logseq____&logseq____&logseq____&logseq____&logseq____&logseq____&logseq____&1 \\\\\\\\\\n(a+b)^1logseq____&logseq____&logseq____&logseq____&logseq____&logseq____&logseq____&1 logseq____&logseq____& 1 \\\\\\\\\\n(a+b)^2logseq____&logseq____&logseq____&logseq____&logseq____&logseq____& 1 logseq____&logseq____& 2 logseq____&logseq____& 1 \\\\\\\\\\n(a+b)^3logseq____&logseq____&logseq____&logseq____&logseq____&1 logseq____&logseq____& 3 logseq____&logseq____& 3 logseq____&logseq____& 1 \\\\\\\\\\n(a+b)^4logseq____&logseq____&logseq____&logseq____& 1 logseq____&logseq____& 4 logseq____&logseq____& 6 logseq____&logseq____& 4 logseq____&logseq____& 1 \\\\\\\\\\n(a+b)^5logseq____&logseq____&logseq____& 1 logseq____&logseq____& 5 logseq____&logseq____& 10 logseq____&logseq____& 10 logseq____&logseq____& 5 logseq____&logseq____& 1 \\\\\\\\\\n(a+b)^6logseq____&logseq____& 1 logseq____&logseq____& 6 logseq____&logseq____& 15 logseq____&logseq____& 20 logseq____&logseq____& 15 logseq____&logseq____& 6 logseq____&logseq____& 1 \\\\\\\\\\n(a+b)^7logseq____&1 logseq____&logseq____& 7 logseq____&logseq____&21 logseq____&logseq____& 35 logseq____&logseq____& 35 logseq____&logseq____& \\\\cdots\\\\end{array}logseq____",536870921]],[logseq____"^15logseq____",[136,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[136,logseq____"^Flogseq____",104,536870921]],[logseq____"^15logseq____",[136,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[136,logseq____"^Vlogseq____",104,536870921]],[logseq____"^15logseq____",[136,logseq____"^Ulogseq____",61,536870921]],[logseq____"^15logseq____",[136,logseq____"^Ulogseq____",67,536870921]],[logseq____"^15logseq____",[136,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[136,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[136,logseq____"^;logseq____",logseq____"~u6531c8ee-fd55-49cc-b967-279593600b21logseq____",536870921]],[logseq____"^15logseq____",[137,logseq____"^Qlogseq____",logseq____"\\\\begin{array}{c}\\n{0\\\\choose 0}\\n\\\\\\\\\\n{1\\\\choose 0} {1\\\\choose 1}\\n\\\\\\\\\\n{2\\\\choose 0} {2\\\\choose 1} {2\\\\choose 2}\\n\\\\\\\\\\n{3\\\\choose 0} {3\\\\choose 1} {3\\\\choose 2} {3\\\\choose 3}\\n\\\\\\\\\\n\\\\cdots\\n\\\\end{array}logseq____",536870921]],[logseq____"^15logseq____",[137,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[137,logseq____"^Flogseq____",123,536870921]],[logseq____"^15logseq____",[137,logseq____"^Xlogseq____",73,536870921]],[logseq____"^15logseq____",[137,logseq____"^Vlogseq____",94,536870921]],[logseq____"^15logseq____",[137,logseq____"^Ulogseq____",61,536870921]],[logseq____"^15logseq____",[137,logseq____"^Ulogseq____",65,536870921]],[logseq____"^15logseq____",[137,logseq____"^Ulogseq____",67,536870921]],[logseq____"^15logseq____",[137,logseq____"^Ulogseq____",73,536870921]],[logseq____"^15logseq____",[137,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[137,logseq____"^;logseq____",logseq____"~u6531c8ee-f5b1-4224-b299-57419eb48deflogseq____",536870921]],[logseq____"^15logseq____",[139,logseq____"^Klogseq____",1697761518607,536870922]],[logseq____"^15logseq____",[139,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[139,logseq____"^Ylogseq____",logseq____"kreislogseq____",536870922]],[logseq____"^15logseq____",[139,logseq____"^11logseq____",logseq____"Kreislogseq____",536870922]],[logseq____"^15logseq____",[139,logseq____"^Blogseq____",1697761518607,536870922]],[logseq____"^15logseq____",[139,logseq____"^;logseq____",logseq____"~u6531c8ee-4285-41a5-9a9d-67299c3089a1logseq____",536870922]],[logseq____"^15logseq____",[140,logseq____"^Klogseq____",1697761518614,536870922]],[logseq____"^15logseq____",[140,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[140,logseq____"^Ylogseq____",logseq____"fester punktlogseq____",536870922]],[logseq____"^15logseq____",[140,logseq____"^11logseq____",logseq____"Fester Punktlogseq____",536870922]],[logseq____"^15logseq____",[140,logseq____"^Blogseq____",1697761518614,536870922]],[logseq____"^15logseq____",[140,logseq____"^;logseq____",logseq____"~u6531c8ee-e82f-43ab-9d32-d641b308e973logseq____",536870922]],[logseq____"^15logseq____",[141,logseq____"^Klogseq____",1697761518609,536870922]],[logseq____"^15logseq____",[141,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[141,logseq____"^Ylogseq____",logseq____"radiuslogseq____",536870922]],[logseq____"^15logseq____",[141,logseq____"^11logseq____",logseq____"Radiuslogseq____",536870922]],[logseq____"^15logseq____",[141,logseq____"^Blogseq____",1697761518609,536870922]],[logseq____"^15logseq____",[141,logseq____"^;logseq____",logseq____"~u6531c8ee-fe71-4f91-bf51-1694c7cd3f00logseq____",536870922]],[logseq____"^15logseq____",[142,logseq____"^Klogseq____",1697761518601,536870922]],[logseq____"^15logseq____",[142,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[142,logseq____"^Ylogseq____",logseq____"fallunterscheidunglogseq____",536870922]],[logseq____"^15logseq____",[142,logseq____"^11logseq____",logseq____"Fallunterscheidunglogseq____",536870922]],[logseq____"^15logseq____",[142,logseq____"^Blogseq____",1697761518601,536870922]],[logseq____"^15logseq____",[142,logseq____"^;logseq____",logseq____"~u6531c8ee-96b6-48f5-8097-006d74bb06a7logseq____",536870922]],[logseq____"^15logseq____",[143,logseq____"^Klogseq____",1697761518617,536870922]],[logseq____"^15logseq____",[143,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[143,logseq____"^Ylogseq____",logseq____"ellipselogseq____",536870922]],[logseq____"^15logseq____",[143,logseq____"^11logseq____",logseq____"Ellipselogseq____",536870922]],[logseq____"^15logseq____",[143,logseq____"^Blogseq____",1697761518617,536870922]],[logseq____"^15logseq____",[143,logseq____"^;logseq____",logseq____"~u6531c8ee-abbc-4e04-9c62-e61e12391429logseq____",536870922]],[logseq____"^15logseq____",[144,logseq____"^Klogseq____",1697761518608,536870922]],[logseq____"^15logseq____",[144,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[144,logseq____"^Ylogseq____",logseq____"mittelpunktlogseq____",536870922]],[logseq____"^15logseq____",[144,logseq____"^11logseq____",logseq____"Mittelpunktlogseq____",536870922]],[logseq____"^15logseq____",[144,logseq____"^Blogseq____",1697761518608,536870922]],[logseq____"^15logseq____",[144,logseq____"^;logseq____",logseq____"~u6531c8ee-084d-4d07-bba3-d797befedf8elogseq____",536870922]],[logseq____"^15logseq____",[145,logseq____"^Klogseq____",1697761518613,536870922]],[logseq____"^15logseq____",[145,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[145,logseq____"^Ylogseq____",logseq____"konstantlogseq____",536870922]],[logseq____"^15logseq____",[145,logseq____"^11logseq____",logseq____"konstantlogseq____",536870922]],[logseq____"^15logseq____",[145,logseq____"^Blogseq____",1697761518613,536870922]],[logseq____"^15logseq____",[145,logseq____"^;logseq____",logseq____"~u6531c8ee-2278-492c-b75d-1eaf27326587logseq____",536870922]],[logseq____"^15logseq____",[146,logseq____"^Klogseq____",1697761518597,536870922]],[logseq____"^15logseq____",[146,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[146,logseq____"^Ylogseq____",logseq____"ungleichungenlogseq____",536870922]],[logseq____"^15logseq____",[146,logseq____"^11logseq____",logseq____"Ungleichungenlogseq____",536870922]],[logseq____"^15logseq____",[146,logseq____"^Blogseq____",1697761518597,536870922]],[logseq____"^15logseq____",[146,logseq____"^;logseq____",logseq____"~u6531c8ef-a47e-4e72-9772-4b7536be39a1logseq____",536870931]],[logseq____"^15logseq____",[147,logseq____"^Klogseq____",1697761518613,536870922]],[logseq____"^15logseq____",[147,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[147,logseq____"^Ylogseq____",logseq____"brennpunktlogseq____",536870922]],[logseq____"^15logseq____",[147,logseq____"^11logseq____",logseq____"Brennpunktlogseq____",536870922]],[logseq____"^15logseq____",[147,logseq____"^Blogseq____",1697761518613,536870922]],[logseq____"^15logseq____",[147,logseq____"^;logseq____",logseq____"~u6531c8ee-0da7-4a57-8f60-76bf439ce1dblogseq____",536870922]],[logseq____"^15logseq____",[148,logseq____"^Klogseq____",1697761518593,536870922]],[logseq____"^15logseq____",[148,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[148,logseq____"^Ylogseq____",logseq____"lösungsmengenlogseq____",536870922]],[logseq____"^15logseq____",[148,logseq____"^11logseq____",logseq____"Lösungsmengenlogseq____",536870922]],[logseq____"^15logseq____",[148,logseq____"^Blogseq____",1697761518593,536870922]],[logseq____"^15logseq____",[148,logseq____"^;logseq____",logseq____"~u6531c8ee-fc90-4463-9b68-44ffdd2a2de5logseq____",536870922]],[logseq____"^15logseq____",[149,logseq____"^Klogseq____",1697761518614,536870922]],[logseq____"^15logseq____",[149,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[149,logseq____"^Ylogseq____",logseq____"abstandlogseq____",536870922]],[logseq____"^15logseq____",[149,logseq____"^11logseq____",logseq____"Abstandlogseq____",536870922]],[logseq____"^15logseq____",[149,logseq____"^Blogseq____",1697761518614,536870922]],[logseq____"^15logseq____",[149,logseq____"^;logseq____",logseq____"~u6531c8ee-e13e-4bed-8bfe-1939186df2f6logseq____",536870922]],[logseq____"^15logseq____",[150,logseq____"^Klogseq____",1697761518616,536870922]],[logseq____"^15logseq____",[150,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[150,logseq____"^Ylogseq____",logseq____"hyperbellogseq____",536870922]],[logseq____"^15logseq____",[150,logseq____"^11logseq____",logseq____"Hyperbellogseq____",536870922]],[logseq____"^15logseq____",[150,logseq____"^Blogseq____",1697761518616,536870922]],[logseq____"^15logseq____",[150,logseq____"^;logseq____",logseq____"~u6531c8ee-c94f-45a9-a7be-4d104947a6b5logseq____",536870922]],[logseq____"^15logseq____",[151,logseq____"^Klogseq____",1697761518616,536870922]],[logseq____"^15logseq____",[151,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[151,logseq____"^Ylogseq____",logseq____"summelogseq____",536870922]],[logseq____"^15logseq____",[151,logseq____"^11logseq____",logseq____"Summelogseq____",536870922]],[logseq____"^15logseq____",[151,logseq____"^Blogseq____",1697761518616,536870922]],[logseq____"^15logseq____",[151,logseq____"^;logseq____",logseq____"~u6531c8ee-1858-4342-b2f8-f72eabf50eb7logseq____",536870922]],[logseq____"^15logseq____",[152,logseq____"^Klogseq____",1697761518597,536870922]],[logseq____"^15logseq____",[152,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[152,logseq____"^Ylogseq____",logseq____"betraglogseq____",536870922]],[logseq____"^15logseq____",[152,logseq____"^11logseq____",logseq____"Betraglogseq____",536870922]],[logseq____"^15logseq____",[152,logseq____"^Blogseq____",1697761518597,536870922]],[logseq____"^15logseq____",[152,logseq____"^;logseq____",logseq____"~u6531c8ee-f6ba-4c7d-a435-a88f82540ee1logseq____",536870922]],[logseq____"^15logseq____",[153,logseq____"^Klogseq____",1697761518602,536870922]],[logseq____"^15logseq____",[153,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[153,logseq____"^Ylogseq____",logseq____"auffrischung mathematik/23-10-05logseq____",536870922]],[logseq____"^15logseq____",[153,logseq____"^Alogseq____",56,536870922]],[logseq____"^15logseq____",[153,logseq____"^11logseq____",logseq____"Auffrischung Mathematik/23-10-05logseq____",536870922]],[logseq____"^15logseq____",[153,logseq____"^Blogseq____",1697761518602,536870922]],[logseq____"^15logseq____",[153,logseq____"^;logseq____",logseq____"~u6531c8ee-ba48-438c-80e7-95342a4db87flogseq____",536870922]],[logseq____"^15logseq____",[154,logseq____"^Klogseq____",1697761518616,536870922]],[logseq____"^15logseq____",[154,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[154,logseq____"^Ylogseq____",logseq____"differenzlogseq____",536870922]],[logseq____"^15logseq____",[154,logseq____"^11logseq____",logseq____"Differenzlogseq____",536870922]],[logseq____"^15logseq____",[154,logseq____"^Blogseq____",1697761518616,536870922]],[logseq____"^15logseq____",[154,logseq____"^;logseq____",logseq____"~u6531c8ee-5f95-4b42-b42a-93d61c387862logseq____",536870922]],[logseq____"^15logseq____",[155,logseq____"^Klogseq____",1697761518596,536870922]],[logseq____"^15logseq____",[155,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[155,logseq____"^Ylogseq____",logseq____"betragsungleichungenlogseq____",536870922]],[logseq____"^15logseq____",[155,logseq____"^11logseq____",logseq____"Betragsungleichungenlogseq____",536870922]],[logseq____"^15logseq____",[155,logseq____"^Blogseq____",1697761518596,536870922]],[logseq____"^15logseq____",[155,logseq____"^;logseq____",logseq____"~u6531c8ee-b15d-422b-b037-8dddcd0a25b5logseq____",536870922]],[logseq____"^15logseq____",[156,logseq____"^Klogseq____",1697761518614,536870922]],[logseq____"^15logseq____",[156,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[156,logseq____"^Ylogseq____",logseq____"punktelogseq____",536870922]],[logseq____"^15logseq____",[156,logseq____"^11logseq____",logseq____"Punktelogseq____",536870922]],[logseq____"^15logseq____",[156,logseq____"^Blogseq____",1697761518614,536870922]],[logseq____"^15logseq____",[156,logseq____"^;logseq____",logseq____"~u6531c8ee-293a-4689-ae01-71edcd3023belogseq____",536870922]],[logseq____"^15logseq____",[157,logseq____"^Klogseq____",1697761518614,536870922]],[logseq____"^15logseq____",[157,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[157,logseq____"^Ylogseq____",logseq____"ebenenlogseq____",536870922]],[logseq____"^15logseq____",[157,logseq____"^11logseq____",logseq____"Ebenenlogseq____",536870922]],[logseq____"^15logseq____",[157,logseq____"^Blogseq____",1697761518614,536870922]],[logseq____"^15logseq____",[157,logseq____"^;logseq____",logseq____"~u6531c8ee-ff22-4167-b8dd-1d55c93c75ablogseq____",536870922]],[logseq____"^15logseq____",[158,logseq____"^Klogseq____",1697761518614,536870922]],[logseq____"^15logseq____",[158,logseq____"^@logseq____",false,536870922]],[logseq____"^15logseq____",[158,logseq____"^Ylogseq____",logseq____"mengenlogseq____",536870922]],[logseq____"^15logseq____",[158,logseq____"^11logseq____",logseq____"Mengenlogseq____",536870922]],[logseq____"^15logseq____",[158,logseq____"^Blogseq____",1697761518614,536870922]],[logseq____"^15logseq____",[158,logseq____"^;logseq____",logseq____"~u6531c8ee-0546-4b82-b34d-ff6cd8448c46logseq____",536870922]],[logseq____"^15logseq____",[159,logseq____"^Qlogseq____",logseq____"![draws/2023-10-18-17-34-30.excalidraw](https://raw.githubusercontent.com/Surferlul/IA-Logseq-Publish/external-assets/svg-assets/draws/2023-10-18-17-34-30.excalidraw.svg)logseq____",536870922]],[logseq____"^15logseq____",[159,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[159,logseq____"^Flogseq____",185,536870922]],[logseq____"^15logseq____",[159,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[159,logseq____"^Vlogseq____",180,536870922]],[logseq____"^15logseq____",[159,logseq____"^Ulogseq____",143,536870922]],[logseq____"^15logseq____",[159,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[159,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[159,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[159,logseq____"^;logseq____",logseq____"~u6531c8ee-85eb-4d1b-8665-420d9bc9a93alogseq____",536870922]],[logseq____"^15logseq____",[160,logseq____"^Qlogseq____",logseq____"$\\\\text{Lösungsmenge der Gleichung }x^2+\\\\underbrace{4}_p x-\\\\underbrace{12}_q=0$\\n\\\\begin{align}\\nx_{1,2}logseq____&=\\\\frac{-p}2\\\\pm\\\\sqrt{\\\\frac{p^2}4-q}\\\\\\\\\\nlogseq____&=-2\\\\pm\\\\sqrt{\\\\frac{16}4-(-12)}\\\\\\\\\\nlogseq____&=-2\\\\pm4\\\\\\\\\\nLlogseq____&=\\\\left\\\\{\\\\underbrace{x\\\\in\\\\Reals}_\\\\text{Name}\\\\middle|\\\\underbrace{x^2+4x-12=0}_\\\\text{Eigenschaft}\\\\right\\\\}\\\\\\\\\\nLlogseq____&=\\\\left\\\\{2,-6\\\\right\\\\}\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[160,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[160,logseq____"^Flogseq____",211,536870922]],[logseq____"^15logseq____",[160,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[160,logseq____"^Vlogseq____",211,536870922]],[logseq____"^15logseq____",[160,logseq____"^Ulogseq____",148,536870922]],[logseq____"^15logseq____",[160,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[160,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[160,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[160,logseq____"^;logseq____",logseq____"~u6531c8ee-479c-4c60-8311-5b65abcd32f2logseq____",536870922]],[logseq____"^15logseq____",[161,logseq____"^Qlogseq____",logseq____"### Lösung mit [[Fallunterscheidung]]logseq____",536870922]],[logseq____"^15logseq____",[161,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[161,logseq____"^Flogseq____",191,536870922]],[logseq____"^15logseq____",[161,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[161,logseq____"^Vlogseq____",191,536870922]],[logseq____"^15logseq____",[161,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[161,logseq____"^Ulogseq____",142,536870922]],[logseq____"^15logseq____",[161,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[161,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[161,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[161,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[161,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",3],536870922]],[logseq____"^15logseq____",[161,logseq____"^Jlogseq____",[],536870922]],[logseq____"^15logseq____",[161,logseq____"^Hlogseq____",142,536870922]],[logseq____"^15logseq____",[161,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[161,logseq____"^;logseq____",logseq____"~u6531c8ee-9d1f-44e3-809e-b0be75b641d7logseq____",536870922]],[logseq____"^15logseq____",[162,logseq____"^Qlogseq____",logseq____"### Lösung mit [[Fallunterscheidung]]logseq____",536870922]],[logseq____"^15logseq____",[162,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[162,logseq____"^Flogseq____",166,536870922]],[logseq____"^15logseq____",[162,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[162,logseq____"^Vlogseq____",166,536870922]],[logseq____"^15logseq____",[162,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[162,logseq____"^Ulogseq____",142,536870922]],[logseq____"^15logseq____",[162,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[162,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[162,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[162,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[162,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",3],536870922]],[logseq____"^15logseq____",[162,logseq____"^Jlogseq____",[],536870922]],[logseq____"^15logseq____",[162,logseq____"^Hlogseq____",142,536870922]],[logseq____"^15logseq____",[162,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[162,logseq____"^;logseq____",logseq____"~u6531c8ee-6770-492b-bce8-5dc53b588df6logseq____",536870922]],[logseq____"^15logseq____",[163,logseq____"^Qlogseq____",logseq____"$\\\\text{Fall 1} \\\\quad xlogseq____<-5$\\n\\\\begin{align}\\nx+5logseq____&logseq____<0\\\\\\\\\\n|x+5|logseq____&=-(x+5)=-x-5\\\\\\\\\\nx-3logseq____&logseq____<0\\\\\\\\\\n|x-3|logseq____&=-(x-3)=-x+3\\\\\\\\\\n-x-5logseq____&logseq____< 2(-x+3)\\\\\\\\\\n-x-5logseq____&logseq____<-2x+6 logseq____&|logseq____&+5+2x\\\\\\\\\\nxlogseq____<11\\\\\\\\\\n\\\\end{align}\\n\\\\begin{align}\\nL_1=\\\\left\\\\{x\\\\in\\\\Reals\\\\Big|xlogseq____<-5,x\\\\le11\\\\right\\\\}=(-\\\\infty,-5)\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[163,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[163,logseq____"^Flogseq____",161,536870922]],[logseq____"^15logseq____",[163,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[163,logseq____"^Vlogseq____",161,536870922]],[logseq____"^15logseq____",[163,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[163,logseq____"^Ulogseq____",142,536870922]],[logseq____"^15logseq____",[163,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[163,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[163,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[163,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[163,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[163,logseq____"^;logseq____",logseq____"~u6531c8ee-39f1-4b19-b143-e07d3f7e2242logseq____",536870922]],[logseq____"^15logseq____",[164,logseq____"^Qlogseq____",logseq____"[Menge]([[Mengen]]) von [Punkten]([[Punkte]]) $(x,y)$ in der [Ebene]([[Ebenen]]) die den gleichen [[Abstand]] r ([[Radius]]) zu einem [festen Punkt]([[Fester Punkt]]) ([[Mittelpunkt]])logseq____",536870922]],[logseq____"^15logseq____",[164,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[164,logseq____"^Flogseq____",188,536870922]],[logseq____"^15logseq____",[164,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[164,logseq____"^Vlogseq____",188,536870922]],[logseq____"^15logseq____",[164,logseq____"^Ulogseq____",139,536870922]],[logseq____"^15logseq____",[164,logseq____"^Ulogseq____",140,536870922]],[logseq____"^15logseq____",[164,logseq____"^Ulogseq____",141,536870922]],[logseq____"^15logseq____",[164,logseq____"^Ulogseq____",144,536870922]],[logseq____"^15logseq____",[164,logseq____"^Ulogseq____",149,536870922]],[logseq____"^15logseq____",[164,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[164,logseq____"^Ulogseq____",156,536870922]],[logseq____"^15logseq____",[164,logseq____"^Ulogseq____",157,536870922]],[logseq____"^15logseq____",[164,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[164,logseq____"^Hlogseq____",140,536870922]],[logseq____"^15logseq____",[164,logseq____"^Hlogseq____",141,536870922]],[logseq____"^15logseq____",[164,logseq____"^Hlogseq____",144,536870922]],[logseq____"^15logseq____",[164,logseq____"^Hlogseq____",149,536870922]],[logseq____"^15logseq____",[164,logseq____"^Hlogseq____",156,536870922]],[logseq____"^15logseq____",[164,logseq____"^Hlogseq____",157,536870922]],[logseq____"^15logseq____",[164,logseq____"^Hlogseq____",158,536870922]],[logseq____"^15logseq____",[164,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[164,logseq____"^;logseq____",logseq____"~u6531c8ee-dd1a-48f3-a039-222e06facb10logseq____",536870922]],[logseq____"^15logseq____",[165,logseq____"^Qlogseq____",logseq____"logseq____",536870922]],[logseq____"^15logseq____",[165,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[165,logseq____"^Flogseq____",195,536870922]],[logseq____"^15logseq____",[165,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[165,logseq____"^Vlogseq____",153,536870922]],[logseq____"^15logseq____",[165,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[165,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[165,logseq____"^;logseq____",logseq____"~u6531c8ee-9bd5-46c0-b770-9af35f207a1dlogseq____",536870922]],[logseq____"^15logseq____",[166,logseq____"^Qlogseq____",logseq____"$$L=\\\\left\\\\{\\\\underbrace{x\\\\in\\\\Reals}_{0\\\\notin L}\\\\:\\\\middle|\\\\:\\\\underbrace{|x-3|\\\\le|x+2}_{1\\\\in L}\\\\right\\\\}$$\\n$0\\\\notin L\\\\rightarrow\\\\text{0 steht nicht in Lösungsmenge}$\\n$1\\\\in L\\\\rightarrow\\\\text{1 gehört zu Lösungsmenge}$logseq____",536870922]],[logseq____"^15logseq____",[166,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[166,logseq____"^Flogseq____",175,536870922]],[logseq____"^15logseq____",[166,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[166,logseq____"^Vlogseq____",175,536870922]],[logseq____"^15logseq____",[166,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[166,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[166,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[166,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[166,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[166,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[166,logseq____"^;logseq____",logseq____"~u6531c8ee-006e-4fd1-9d5a-eac85f6a1fbclogseq____",536870922]],[logseq____"^15logseq____",[167,logseq____"^Qlogseq____",logseq____"logseq____",536870922]],[logseq____"^15logseq____",[167,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[167,logseq____"^Flogseq____",159,536870922]],[logseq____"^15logseq____",[167,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[167,logseq____"^Vlogseq____",180,536870922]],[logseq____"^15logseq____",[167,logseq____"^Ulogseq____",143,536870922]],[logseq____"^15logseq____",[167,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[167,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[167,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[167,logseq____"^;logseq____",logseq____"~u6531c8ee-a59b-422d-beb4-bffce18e8684logseq____",536870922]],[logseq____"^15logseq____",[168,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\nLlogseq____&=\\\\left\\\\{x\\\\in\\\\Reals\\\\Big||x-3|logseq____<5\\\\right\\\\}=(-2,8)\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[168,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[168,logseq____"^Flogseq____",191,536870922]],[logseq____"^15logseq____",[168,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[168,logseq____"^Vlogseq____",175,536870922]],[logseq____"^15logseq____",[168,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[168,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[168,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[168,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[168,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[168,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[168,logseq____"^;logseq____",logseq____"~u6531c8ee-1808-4adb-a2a1-dcbb53b3edbdlogseq____",536870922]],[logseq____"^15logseq____",[169,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\nK=\\\\left\\\\{(x,y)\\\\in \\\\Reals^2 \\\\Big| (x-x_M)^2+(y-y_M)^2=r^2\\\\right\\\\}\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[169,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[169,logseq____"^Flogseq____",205,536870922]],[logseq____"^15logseq____",[169,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[169,logseq____"^Vlogseq____",188,536870922]],[logseq____"^15logseq____",[169,logseq____"^Ulogseq____",139,536870922]],[logseq____"^15logseq____",[169,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[169,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[169,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[169,logseq____"^;logseq____",logseq____"~u6531c8ee-fd49-476f-9fb1-9d9ec3ee09eblogseq____",536870922]],[logseq____"^15logseq____",[170,logseq____"^Qlogseq____",logseq____"$\\\\text{Fall 1}\\\\quad x\\\\ge3$\\n\\\\begin{align}\\n|x-3|logseq____&=x-3\\\\\\\\\\nx-3\\\\le|x+2|\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[170,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[170,logseq____"^Flogseq____",162,536870922]],[logseq____"^15logseq____",[170,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[170,logseq____"^Vlogseq____",162,536870922]],[logseq____"^15logseq____",[170,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[170,logseq____"^Ulogseq____",142,536870922]],[logseq____"^15logseq____",[170,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[170,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[170,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[170,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[170,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[170,logseq____"^;logseq____",logseq____"~u6531c8ee-01be-41cf-8913-5c15279e8701logseq____",536870922]],[logseq____"^15logseq____",[171,logseq____"^Qlogseq____",logseq____"Menge aller rellen Zahlen zwischen 4 und $\\\\infty$ ohne 4 und $\\\\infty$\\n\\\\begin{align}\\\\left\\\\{x\\\\in\\\\Reals\\\\middle|xlogseq____>4\\\\right\\\\}=:(4,\\\\infty)\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[171,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[171,logseq____"^Flogseq____",192,536870922]],[logseq____"^15logseq____",[171,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[171,logseq____"^Vlogseq____",186,536870922]],[logseq____"^15logseq____",[171,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[171,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[171,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[171,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[171,logseq____"^;logseq____",logseq____"~u6531c8ee-45bb-4029-bcf1-ed30c58b7b5flogseq____",536870922]],[logseq____"^15logseq____",[172,logseq____"^Qlogseq____",logseq____"$\\\\text{Fall 1b}\\\\quad xlogseq____<-2\\\\quad\\\\text{Wiederspricht Bedingung}\\\\quad x\\\\ge3$logseq____",536870922]],[logseq____"^15logseq____",[172,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[172,logseq____"^Flogseq____",212,536870922]],[logseq____"^15logseq____",[172,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[172,logseq____"^Vlogseq____",162,536870922]],[logseq____"^15logseq____",[172,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[172,logseq____"^Ulogseq____",142,536870922]],[logseq____"^15logseq____",[172,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[172,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[172,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[172,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[172,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[172,logseq____"^;logseq____",logseq____"~u6531c8ee-cc01-413d-ae1c-cf50723b4953logseq____",536870922]],[logseq____"^15logseq____",[173,logseq____"^Qlogseq____",logseq____"wie [[Ellipse]] nur statt [[Summe]] [[Differenz]]logseq____",536870922]],[logseq____"^15logseq____",[173,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[173,logseq____"^Flogseq____",182,536870922]],[logseq____"^15logseq____",[173,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[173,logseq____"^Vlogseq____",181,536870922]],[logseq____"^15logseq____",[173,logseq____"^Ulogseq____",143,536870922]],[logseq____"^15logseq____",[173,logseq____"^Ulogseq____",151,536870922]],[logseq____"^15logseq____",[173,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[173,logseq____"^Ulogseq____",154,536870922]],[logseq____"^15logseq____",[173,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[173,logseq____"^Hlogseq____",143,536870922]],[logseq____"^15logseq____",[173,logseq____"^Hlogseq____",151,536870922]],[logseq____"^15logseq____",[173,logseq____"^Hlogseq____",154,536870922]],[logseq____"^15logseq____",[173,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[173,logseq____"^;logseq____",logseq____"~u6531c8ee-a861-4b71-a7ed-cc733dd629a4logseq____",536870922]],[logseq____"^15logseq____",[174,logseq____"^Qlogseq____",logseq____"### [[Betragsungleichungen]]logseq____",536870922]],[logseq____"^15logseq____",[174,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[174,logseq____"^Flogseq____",178,536870922]],[logseq____"^15logseq____",[174,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[174,logseq____"^Vlogseq____",189,536870922]],[logseq____"^15logseq____",[174,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[174,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[174,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[174,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[174,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",3],536870922]],[logseq____"^15logseq____",[174,logseq____"^Jlogseq____",[],536870922]],[logseq____"^15logseq____",[174,logseq____"^Hlogseq____",155,536870922]],[logseq____"^15logseq____",[174,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[174,logseq____"^;logseq____",logseq____"~u6531c8ee-2839-4e7e-9083-b6e5700176f0logseq____",536870922]],[logseq____"^15logseq____",[175,logseq____"^Qlogseq____",logseq____"[[Beispiele]]logseq____",536870922]],[logseq____"^15logseq____",[175,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[175,logseq____"^Flogseq____",213,536870922]],[logseq____"^15logseq____",[175,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[175,logseq____"^Vlogseq____",174,536870922]],[logseq____"^15logseq____",[175,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[175,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[175,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[175,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[175,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[175,logseq____"^Hlogseq____",68,536870922]],[logseq____"^15logseq____",[175,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[175,logseq____"^;logseq____",logseq____"~u6531c8ee-f523-4972-ab19-a6736e46c4b3logseq____",536870922]],[logseq____"^15logseq____",[176,logseq____"^Qlogseq____",logseq____"$\\\\text{Fall 2a}\\\\quad x\\\\ge-2$\\n\\\\begin{align}\\n|\\\\underbrace{x+2}_{\\\\ge0}logseq____&=x+2\\\\\\\\\\n-x+3logseq____&\\\\le x+2 logseq____&|logseq____& -2\\\\\\\\\\n-x+1logseq____&\\\\le x logseq____&|logseq____& +x\\\\\\\\\\n\\\\frac12logseq____&\\\\le x logseq____&|logseq____& :2\\\\\\\\\\n\\\\end{align}\\n\\\\begin{align}\\nL_2=\\\\left\\\\{x\\\\in\\\\Reals\\\\middle|xlogseq____<3,x\\\\ge-2,x\\\\ge\\\\frac12\\\\right\\\\}=\\\\left[\\\\frac12,3\\\\right)\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[176,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[176,logseq____"^Flogseq____",203,536870922]],[logseq____"^15logseq____",[176,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[176,logseq____"^Vlogseq____",162,536870922]],[logseq____"^15logseq____",[176,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[176,logseq____"^Ulogseq____",142,536870922]],[logseq____"^15logseq____",[176,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[176,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[176,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[176,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[176,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[176,logseq____"^;logseq____",logseq____"~u6531c8ee-a16e-4d30-b89d-30f47e9ce52blogseq____",536870922]],[logseq____"^15logseq____",[177,logseq____"^Qlogseq____",logseq____"$\\\\text{Punkt}(a,0)$\\n\\\\begin{align}\\nl_1logseq____&=a+e\\\\\\\\\\nl_2logseq____&=a-e\\\\\\\\\\nllogseq____&=2a,\\\\quad a=\\\\frac l2\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[177,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[177,logseq____"^Flogseq____",215,536870922]],[logseq____"^15logseq____",[177,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[177,logseq____"^Vlogseq____",180,536870922]],[logseq____"^15logseq____",[177,logseq____"^Ulogseq____",143,536870922]],[logseq____"^15logseq____",[177,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[177,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[177,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[177,logseq____"^;logseq____",logseq____"~u6531c8ee-9ec1-4504-bbcf-9274dfe1e199logseq____",536870922]],[logseq____"^15logseq____",[178,logseq____"^Qlogseq____",logseq____"[[Beispiele]]\\n\\\\begin{align}\\n|5|=logseq____&5\\\\\\\\\\n|-3,3|logseq____&=3,3\\\\\\\\\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[178,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[178,logseq____"^Flogseq____",190,536870922]],[logseq____"^15logseq____",[178,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[178,logseq____"^Vlogseq____",189,536870922]],[logseq____"^15logseq____",[178,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[178,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[178,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[178,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[178,logseq____"^Hlogseq____",68,536870922]],[logseq____"^15logseq____",[178,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[178,logseq____"^;logseq____",logseq____"~u6531c8ee-667d-46b7-adb8-3273563d9026logseq____",536870922]],[logseq____"^15logseq____",[179,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\n\\\\text{Ellipse}logseq____&=\\\\left\\\\{(x,y)\\\\middle|\\\\frac{x^2}{a^2}+\\\\frac{y^2}{b^2}=1\\\\right\\\\}\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[179,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[179,logseq____"^Flogseq____",200,536870922]],[logseq____"^15logseq____",[179,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[179,logseq____"^Vlogseq____",180,536870922]],[logseq____"^15logseq____",[179,logseq____"^Ulogseq____",143,536870922]],[logseq____"^15logseq____",[179,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[179,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[179,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[179,logseq____"^;logseq____",logseq____"~u6531c8ee-6709-487b-8a76-69450e646b2clogseq____",536870922]],[logseq____"^15logseq____",[180,logseq____"^Qlogseq____",logseq____"## [[Ellipse]]logseq____",536870922]],[logseq____"^15logseq____",[180,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[180,logseq____"^Flogseq____",188,536870922]],[logseq____"^15logseq____",[180,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[180,logseq____"^Vlogseq____",181,536870922]],[logseq____"^15logseq____",[180,logseq____"^Ulogseq____",143,536870922]],[logseq____"^15logseq____",[180,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[180,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[180,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",2],536870922]],[logseq____"^15logseq____",[180,logseq____"^Jlogseq____",[],536870922]],[logseq____"^15logseq____",[180,logseq____"^Hlogseq____",143,536870922]],[logseq____"^15logseq____",[180,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[180,logseq____"^;logseq____",logseq____"~u6531c8ee-fdbe-4c48-8aeb-8b68ab44bcdalogseq____",536870922]],[logseq____"^15logseq____",[181,logseq____"^Qlogseq____",logseq____"# [[Mengen]]logseq____",536870922]],[logseq____"^15logseq____",[181,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[181,logseq____"^Flogseq____",153,536870922]],[logseq____"^15logseq____",[181,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[181,logseq____"^Vlogseq____",153,536870922]],[logseq____"^15logseq____",[181,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[181,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[181,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870922]],[logseq____"^15logseq____",[181,logseq____"^Jlogseq____",[],536870922]],[logseq____"^15logseq____",[181,logseq____"^Hlogseq____",158,536870922]],[logseq____"^15logseq____",[181,logseq____"^17logseq____",false,536870922]],[logseq____"^15logseq____",[181,logseq____"^;logseq____",logseq____"~u6531c8ee-5eb2-4665-a51e-b182ec478d91logseq____",536870922]],[logseq____"^15logseq____",[182,logseq____"^Qlogseq____",logseq____"## [[Hyperbel]]logseq____",536870922]],[logseq____"^15logseq____",[182,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[182,logseq____"^Flogseq____",180,536870922]],[logseq____"^15logseq____",[182,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[182,logseq____"^Vlogseq____",181,536870922]],[logseq____"^15logseq____",[182,logseq____"^Ulogseq____",150,536870922]],[logseq____"^15logseq____",[182,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[182,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[182,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",2],536870922]],[logseq____"^15logseq____",[182,logseq____"^Jlogseq____",[],536870922]],[logseq____"^15logseq____",[182,logseq____"^Hlogseq____",150,536870922]],[logseq____"^15logseq____",[182,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[182,logseq____"^;logseq____",logseq____"~u6531c8ee-87b2-4f23-ae50-dcd1577bedb8logseq____",536870922]],[logseq____"^15logseq____",[183,logseq____"^Qlogseq____",logseq____"$\\\\text{Fall 1}\\\\quad xlogseq____<3$\\n\\\\begin{align}\\n|x-3|logseq____&=-x+3\\\\\\\\\\n-x+3logseq____&logseq____<5 logseq____&|logseq____&-3\\\\\\\\\\n-xlogseq____&logseq____<2 logseq____&|logseq____&*-1\\\\\\\\\\nxlogseq____&logseq____>-2\\\\\\\\\\nL_1logseq____&=(-2,3)\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[183,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[183,logseq____"^Flogseq____",204,536870922]],[logseq____"^15logseq____",[183,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[183,logseq____"^Vlogseq____",204,536870922]],[logseq____"^15logseq____",[183,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[183,logseq____"^Ulogseq____",142,536870922]],[logseq____"^15logseq____",[183,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[183,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[183,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[183,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[183,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[183,logseq____"^;logseq____",logseq____"~u6531c8ee-12c8-4680-aafc-040dd3854d53logseq____",536870922]],[logseq____"^15logseq____",[184,logseq____"^Qlogseq____",logseq____"$\\\\text{Fall 2}\\\\quad x\\\\ge3$\\n\\\\begin{align}\\n|x-3|logseq____&=-x+3\\\\\\\\\\nx-3logseq____&logseq____<5 logseq____&|logseq____&+3\\\\\\\\\\nxlogseq____&logseq____<8\\\\\\\\\\nL_2logseq____&=[3,8)\\\\\\\\\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[184,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[184,logseq____"^Flogseq____",183,536870922]],[logseq____"^15logseq____",[184,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[184,logseq____"^Vlogseq____",204,536870922]],[logseq____"^15logseq____",[184,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[184,logseq____"^Ulogseq____",142,536870922]],[logseq____"^15logseq____",[184,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[184,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[184,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[184,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[184,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[184,logseq____"^;logseq____",logseq____"~u6531c8ee-11f0-4023-ba08-095061373cc9logseq____",536870922]],[logseq____"^15logseq____",[185,logseq____"^Qlogseq____",logseq____"[Menge]([[Mengen]]) an [Punkten]([[Punkte]]) $(x,y)$ der [Ebene]([[Ebenen]]) bei denen die [[Summe]] der [Abstände]([[Abstand]]) der Punkte zu zwei [festen Punkten]([[Fester Punkt]]) $F_1,F_2$ ([Brennpunkte]([[Brennpunkt]])) [[konstant]] istlogseq____",536870922]],[logseq____"^15logseq____",[185,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[185,logseq____"^Flogseq____",180,536870922]],[logseq____"^15logseq____",[185,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[185,logseq____"^Vlogseq____",180,536870922]],[logseq____"^15logseq____",[185,logseq____"^Ulogseq____",140,536870922]],[logseq____"^15logseq____",[185,logseq____"^Ulogseq____",143,536870922]],[logseq____"^15logseq____",[185,logseq____"^Ulogseq____",145,536870922]],[logseq____"^15logseq____",[185,logseq____"^Ulogseq____",147,536870922]],[logseq____"^15logseq____",[185,logseq____"^Ulogseq____",149,536870922]],[logseq____"^15logseq____",[185,logseq____"^Ulogseq____",151,536870922]],[logseq____"^15logseq____",[185,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[185,logseq____"^Ulogseq____",156,536870922]],[logseq____"^15logseq____",[185,logseq____"^Ulogseq____",157,536870922]],[logseq____"^15logseq____",[185,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[185,logseq____"^Hlogseq____",140,536870922]],[logseq____"^15logseq____",[185,logseq____"^Hlogseq____",145,536870922]],[logseq____"^15logseq____",[185,logseq____"^Hlogseq____",147,536870922]],[logseq____"^15logseq____",[185,logseq____"^Hlogseq____",149,536870922]],[logseq____"^15logseq____",[185,logseq____"^Hlogseq____",151,536870922]],[logseq____"^15logseq____",[185,logseq____"^Hlogseq____",156,536870922]],[logseq____"^15logseq____",[185,logseq____"^Hlogseq____",157,536870922]],[logseq____"^15logseq____",[185,logseq____"^Hlogseq____",158,536870922]],[logseq____"^15logseq____",[185,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[185,logseq____"^;logseq____",logseq____"~u6531c8ee-9b59-480e-90f2-183e021ebb5blogseq____",536870922]],[logseq____"^15logseq____",[186,logseq____"^Qlogseq____",logseq____"### [[Beispiele]]logseq____",536870922]],[logseq____"^15logseq____",[186,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[186,logseq____"^Flogseq____",211,536870922]],[logseq____"^15logseq____",[186,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[186,logseq____"^Vlogseq____",181,536870922]],[logseq____"^15logseq____",[186,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[186,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[186,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[186,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",3],536870922]],[logseq____"^15logseq____",[186,logseq____"^Jlogseq____",[],536870922]],[logseq____"^15logseq____",[186,logseq____"^Hlogseq____",68,536870922]],[logseq____"^15logseq____",[186,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[186,logseq____"^;logseq____",logseq____"~u6531c8ee-1618-426e-9d0b-6e877bff8c61logseq____",536870922]],[logseq____"^15logseq____",[187,logseq____"^Qlogseq____",logseq____"**oder** $\\\\rightarrow$ 5 ist abstand von x zu -3logseq____",536870922]],[logseq____"^15logseq____",[187,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[187,logseq____"^Flogseq____",204,536870922]],[logseq____"^15logseq____",[187,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[187,logseq____"^Vlogseq____",168,536870922]],[logseq____"^15logseq____",[187,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[187,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[187,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[187,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[187,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[187,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[187,logseq____"^;logseq____",logseq____"~u6531c8ee-04ef-47db-bc09-25dd7e4675b0logseq____",536870922]],[logseq____"^15logseq____",[188,logseq____"^Qlogseq____",logseq____"## [[Kreis]]logseq____",536870922]],[logseq____"^15logseq____",[188,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[188,logseq____"^Flogseq____",189,536870922]],[logseq____"^15logseq____",[188,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[188,logseq____"^Vlogseq____",181,536870922]],[logseq____"^15logseq____",[188,logseq____"^Ulogseq____",139,536870922]],[logseq____"^15logseq____",[188,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[188,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[188,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",2],536870922]],[logseq____"^15logseq____",[188,logseq____"^Jlogseq____",[],536870922]],[logseq____"^15logseq____",[188,logseq____"^Hlogseq____",139,536870922]],[logseq____"^15logseq____",[188,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[188,logseq____"^;logseq____",logseq____"~u6531c8ee-44a0-4145-9e2f-a2b50c903f49logseq____",536870922]],[logseq____"^15logseq____",[189,logseq____"^Qlogseq____",logseq____"## [[Betrag]]logseq____",536870922]],[logseq____"^15logseq____",[189,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[189,logseq____"^Flogseq____",186,536870922]],[logseq____"^15logseq____",[189,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[189,logseq____"^Vlogseq____",181,536870922]],[logseq____"^15logseq____",[189,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[189,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[189,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[189,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",2],536870922]],[logseq____"^15logseq____",[189,logseq____"^Jlogseq____",[],536870922]],[logseq____"^15logseq____",[189,logseq____"^Hlogseq____",152,536870922]],[logseq____"^15logseq____",[189,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[189,logseq____"^;logseq____",logseq____"~u6531c8ee-06d9-46b3-ad6a-82bff1401242logseq____",536870922]],[logseq____"^15logseq____",[190,logseq____"^Qlogseq____",logseq____"Der [[Betrag]] ist der zu [[Abstand]] 0\\n\\\\begin{align}\\nf(x)=logseq____&|x|:=logseq____&\\\\begin{cases}\\nxlogseq____&x\\\\ge0\\\\\\\\\\n-xlogseq____&xlogseq____<0\\n\\\\end{cases}\\\\\\\\\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[190,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[190,logseq____"^Flogseq____",189,536870922]],[logseq____"^15logseq____",[190,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[190,logseq____"^Vlogseq____",189,536870922]],[logseq____"^15logseq____",[190,logseq____"^Ulogseq____",149,536870922]],[logseq____"^15logseq____",[190,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[190,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[190,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[190,logseq____"^Hlogseq____",149,536870922]],[logseq____"^15logseq____",[190,logseq____"^Hlogseq____",152,536870922]],[logseq____"^15logseq____",[190,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[190,logseq____"^;logseq____",logseq____"~u6531c8ee-5d95-4736-b47d-1360274b7f7alogseq____",536870922]],[logseq____"^15logseq____",[191,logseq____"^Qlogseq____",logseq____"\\\\begin{gather}\\n\\\\frac{|x+5|}{|x-3|}logseq____<2\\\\quad\\\\Bigm|*|x-3|\\\\qquad x\\\\ne3\\\\\\\\\\nL=\\\\left\\\\{ x\\\\in \\\\Reals \\\\Big| |x+5|logseq____<2|x-3|\\\\right\\\\}\\\\\\\\\\n\\\\end{gather}logseq____",536870922]],[logseq____"^15logseq____",[191,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[191,logseq____"^Flogseq____",166,536870922]],[logseq____"^15logseq____",[191,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[191,logseq____"^Vlogseq____",175,536870922]],[logseq____"^15logseq____",[191,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[191,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[191,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[191,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[191,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[191,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[191,logseq____"^;logseq____",logseq____"~u6531c8ee-6ff2-4d62-b756-ae24cd0279cblogseq____",536870922]],[logseq____"^15logseq____",[192,logseq____"^Qlogseq____",logseq____"Menge aller reellen Zahlen zwischen 1 und 4 ohne 1 und 4\\n\\\\begin{align}\\\\left\\\\{x\\\\in\\\\Reals\\\\middle|-1logseq____<xlogseq____<4\\\\right\\\\}=:\\\\underbrace{(-1,4)}_\\\\text{Offenes interval}\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[192,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[192,logseq____"^Flogseq____",197,536870922]],[logseq____"^15logseq____",[192,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[192,logseq____"^Vlogseq____",186,536870922]],[logseq____"^15logseq____",[192,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[192,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[192,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[192,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[192,logseq____"^;logseq____",logseq____"~u6531c8ee-ff3e-4c2f-a474-cb905c04bf5dlogseq____",536870922]],[logseq____"^15logseq____",[193,logseq____"^Qlogseq____",logseq____"a, b Halbachsen der Ellipselogseq____",536870922]],[logseq____"^15logseq____",[193,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[193,logseq____"^Flogseq____",179,536870922]],[logseq____"^15logseq____",[193,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[193,logseq____"^Vlogseq____",180,536870922]],[logseq____"^15logseq____",[193,logseq____"^Ulogseq____",143,536870922]],[logseq____"^15logseq____",[193,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[193,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[193,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[193,logseq____"^;logseq____",logseq____"~u6531c8ee-0672-4834-9fd7-5bb539ed2006logseq____",536870922]],[logseq____"^15logseq____",[194,logseq____"^Qlogseq____",logseq____"#FIXME incompletelogseq____",536870922]],[logseq____"^15logseq____",[194,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[194,logseq____"^Flogseq____",181,536870922]],[logseq____"^15logseq____",[194,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[194,logseq____"^Vlogseq____",153,536870922]],[logseq____"^15logseq____",[194,logseq____"^Ulogseq____",75,536870922]],[logseq____"^15logseq____",[194,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[194,logseq____"^Hlogseq____",75,536870922]],[logseq____"^15logseq____",[194,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[194,logseq____"^;logseq____",logseq____"~u6531c8ee-96a6-4c86-beaa-089a721020a0logseq____",536870922]],[logseq____"^15logseq____",[195,logseq____"^Qlogseq____",logseq____"logseq____",536870922]],[logseq____"^15logseq____",[195,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[195,logseq____"^Flogseq____",194,536870922]],[logseq____"^15logseq____",[195,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[195,logseq____"^Vlogseq____",153,536870922]],[logseq____"^15logseq____",[195,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[195,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[195,logseq____"^;logseq____",logseq____"~u6531c8ee-5785-47ae-baa0-143da188ef72logseq____",536870922]],[logseq____"^15logseq____",[196,logseq____"^Qlogseq____",logseq____"![draws/2023-10-13-18-01-25.excalidraw](https://raw.githubusercontent.com/Surferlul/IA-Logseq-Publish/external-assets/svg-assets/draws/2023-10-13-18-01-25.excalidraw.svg)logseq____",536870922]],[logseq____"^15logseq____",[196,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[196,logseq____"^Flogseq____",202,536870922]],[logseq____"^15logseq____",[196,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[196,logseq____"^Vlogseq____",187,536870922]],[logseq____"^15logseq____",[196,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[196,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[196,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[196,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[196,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[196,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[196,logseq____"^;logseq____",logseq____"~u6531c8ee-122f-4487-8a84-04876fc3db25logseq____",536870922]],[logseq____"^15logseq____",[197,logseq____"^Qlogseq____",logseq____"Menge aller reellen Zahlen zwischen 1 und 4 inklusive 1 und 4\\n\\\\begin{align}\\\\left\\\\{x\\\\in\\\\Reals\\\\middle|-1\\\\le x\\\\le4\\\\right\\\\}=:\\\\underbrace{[-1,4]}_\\\\text{Abgeschlossenes Interval}\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[197,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[197,logseq____"^Flogseq____",186,536870922]],[logseq____"^15logseq____",[197,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[197,logseq____"^Vlogseq____",186,536870922]],[logseq____"^15logseq____",[197,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[197,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[197,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[197,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[197,logseq____"^;logseq____",logseq____"~u6531c8ee-bc8b-46fb-9bb7-0fc81a69658clogseq____",536870922]],[logseq____"^15logseq____",[198,logseq____"^Qlogseq____",logseq____"Kombinieren:\\n\\\\begin{align}\\nLlogseq____&=L_1\\\\cup L_2\\\\cup L_3=\\\\left(-\\\\infty,\\\\frac13\\\\right)\\\\cup\\\\left(11,\\\\infty\\\\right)\\\\\\\\\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[198,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[198,logseq____"^Flogseq____",214,536870922]],[logseq____"^15logseq____",[198,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[198,logseq____"^Vlogseq____",161,536870922]],[logseq____"^15logseq____",[198,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[198,logseq____"^Ulogseq____",142,536870922]],[logseq____"^15logseq____",[198,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[198,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[198,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[198,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[198,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[198,logseq____"^;logseq____",logseq____"~u6531c8ee-0ea7-414c-a8db-fd1822bc4bd3logseq____",536870922]],[logseq____"^15logseq____",[199,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\nM=\\\\left\\\\{\\\\underbrace{(x,y)}_\\\\text{Punkte der Ebene}\\\\in\\\\Reals^2\\\\middle|y=|x|\\\\right\\\\}\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[199,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[199,logseq____"^Flogseq____",196,536870922]],[logseq____"^15logseq____",[199,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[199,logseq____"^Vlogseq____",196,536870922]],[logseq____"^15logseq____",[199,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[199,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[199,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[199,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[199,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[199,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[199,logseq____"^;logseq____",logseq____"~u6531c8ee-da6f-4532-86d0-ec195475bb0elogseq____",536870922]],[logseq____"^15logseq____",[200,logseq____"^Qlogseq____",logseq____"$\\\\text{Punkt(0,b)}$\\n\\\\begin{align}\\nl_1logseq____&=\\\\sqrt{b^2+e^2}=a\\\\\\\\\\nl_1^2logseq____&=b^2+e^2\\\\\\\\\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[200,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[200,logseq____"^Flogseq____",177,536870922]],[logseq____"^15logseq____",[200,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[200,logseq____"^Vlogseq____",180,536870922]],[logseq____"^15logseq____",[200,logseq____"^Ulogseq____",143,536870922]],[logseq____"^15logseq____",[200,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[200,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[200,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[200,logseq____"^;logseq____",logseq____"~u6531c8ee-9a5e-40a9-95ca-b9a44dd039e6logseq____",536870922]],[logseq____"^15logseq____",[201,logseq____"^Qlogseq____",logseq____"$(x_M,y_M)$ haben\\n\\\\begin{align}\\n\\\\underbrace{r=\\\\sqrt{(x-x_M)^2+(y-y_M)^2}}_\\\\text{Pythagoras: Abstand zwischen 2 Punkten}\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[201,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[201,logseq____"^Flogseq____",164,536870922]],[logseq____"^15logseq____",[201,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[201,logseq____"^Vlogseq____",188,536870922]],[logseq____"^15logseq____",[201,logseq____"^Ulogseq____",139,536870922]],[logseq____"^15logseq____",[201,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[201,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[201,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[201,logseq____"^;logseq____",logseq____"~u6531c8ee-1033-44a7-aebd-c022daa7e9e0logseq____",536870922]],[logseq____"^15logseq____",[202,logseq____"^Qlogseq____",logseq____"![draws/2023-10-13-17-57-31.excalidraw](https://raw.githubusercontent.com/Surferlul/IA-Logseq-Publish/external-assets/svg-assets/draws/2023-10-13-17-57-31.excalidraw.svg)logseq____",536870922]],[logseq____"^15logseq____",[202,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[202,logseq____"^Flogseq____",187,536870922]],[logseq____"^15logseq____",[202,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[202,logseq____"^Vlogseq____",187,536870922]],[logseq____"^15logseq____",[202,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[202,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[202,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[202,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[202,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[202,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[202,logseq____"^;logseq____",logseq____"~u6531c8ee-601e-4429-a002-99aa407e9ff3logseq____",536870922]],[logseq____"^15logseq____",[203,logseq____"^Qlogseq____",logseq____"$\\\\text{Fall 2}\\\\quad xlogseq____<3$\\n\\\\begin{align}\\n|\\\\underbrace{x-3}_{logseq____<0}|logseq____&=6(x-3)=-x+3\\\\\\\\\\n-x+3logseq____&\\\\le|x+2|\\\\\\\\\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[203,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[203,logseq____"^Flogseq____",172,536870922]],[logseq____"^15logseq____",[203,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[203,logseq____"^Vlogseq____",162,536870922]],[logseq____"^15logseq____",[203,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[203,logseq____"^Ulogseq____",142,536870922]],[logseq____"^15logseq____",[203,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[203,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[203,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[203,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[203,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[203,logseq____"^;logseq____",logseq____"~u6531c8ee-3b79-43c9-8b6a-dd64d9271189logseq____",536870922]],[logseq____"^15logseq____",[204,logseq____"^Qlogseq____",logseq____"### Lösung mit [[Fallunterscheidung]]logseq____",536870922]],[logseq____"^15logseq____",[204,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[204,logseq____"^Flogseq____",168,536870922]],[logseq____"^15logseq____",[204,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[204,logseq____"^Vlogseq____",168,536870922]],[logseq____"^15logseq____",[204,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[204,logseq____"^Ulogseq____",142,536870922]],[logseq____"^15logseq____",[204,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[204,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[204,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[204,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[204,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",3],536870922]],[logseq____"^15logseq____",[204,logseq____"^Jlogseq____",[],536870922]],[logseq____"^15logseq____",[204,logseq____"^Hlogseq____",142,536870922]],[logseq____"^15logseq____",[204,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[204,logseq____"^;logseq____",logseq____"~u6531c8ee-4368-4f6a-9ccc-8dae99f99941logseq____",536870922]],[logseq____"^15logseq____",[205,logseq____"^Qlogseq____",logseq____"![draws/2023-10-18-17-15-11.excalidraw](https://raw.githubusercontent.com/Surferlul/IA-Logseq-Publish/external-assets/svg-assets/draws/2023-10-18-17-15-11.excalidraw.svg)logseq____",536870922]],[logseq____"^15logseq____",[205,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[205,logseq____"^Flogseq____",201,536870922]],[logseq____"^15logseq____",[205,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[205,logseq____"^Vlogseq____",188,536870922]],[logseq____"^15logseq____",[205,logseq____"^Ulogseq____",139,536870922]],[logseq____"^15logseq____",[205,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[205,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[205,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[205,logseq____"^;logseq____",logseq____"~u6531c8ee-8a5c-4026-8dee-58a07aee08a0logseq____",536870922]],[logseq____"^15logseq____",[206,logseq____"^Qlogseq____",logseq____"$\\\\text{Fall 2}\\\\quad -5\\\\le xlogseq____<3$\\n\\\\begin{align}\\nx+5logseq____&\\\\le0\\\\\\\\\\n|x+5|logseq____&=x+5\\\\\\\\\\nx-3logseq____&logseq____<0\\\\\\\\\\n|x-3|logseq____&=-(x-3)=-x+3\\\\\\\\\\nx+5logseq____&logseq____<2(-x+3)\\\\\\\\\\nx+5logseq____&logseq____<-2x+6 logseq____&|logseq____&+2x\\\\\\\\\\n3xlogseq____&logseq____<1 logseq____&|logseq____& :3\\\\\\\\\\nxlogseq____&logseq____<\\\\frac13\\n\\\\end{align}\\n\\\\begin{align}\\nL_2=\\\\left\\\\{x\\\\in\\\\Reals\\\\middle|-5\\\\le xlogseq____<3,xlogseq____<\\\\frac13\\\\right\\\\}\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[206,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[206,logseq____"^Flogseq____",163,536870922]],[logseq____"^15logseq____",[206,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[206,logseq____"^Vlogseq____",161,536870922]],[logseq____"^15logseq____",[206,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[206,logseq____"^Ulogseq____",142,536870922]],[logseq____"^15logseq____",[206,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[206,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[206,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[206,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[206,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[206,logseq____"^;logseq____",logseq____"~u6531c8ee-6611-492f-bc5b-92177a2c3862logseq____",536870922]],[logseq____"^15logseq____",[207,logseq____"^Qlogseq____",logseq____"Kombinieren:\\n\\\\begin{align}\\nL=L_1\\\\cup L_2=(-2,8)\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[207,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[207,logseq____"^Flogseq____",184,536870922]],[logseq____"^15logseq____",[207,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[207,logseq____"^Vlogseq____",204,536870922]],[logseq____"^15logseq____",[207,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[207,logseq____"^Ulogseq____",142,536870922]],[logseq____"^15logseq____",[207,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[207,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[207,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[207,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[207,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[207,logseq____"^;logseq____",logseq____"~u6531c8ee-9b67-43b5-ada6-d276f8c106b0logseq____",536870922]],[logseq____"^15logseq____",[208,logseq____"^Qlogseq____",logseq____"$\\\\text{Fall 2b}\\\\quad xlogseq____<-2$\\n\\\\begin{align}\\n|\\\\underbrace{x+2}_{logseq____<0}logseq____&=-(x+2)=-x-2\\\\\\\\\\n-x+3logseq____&\\\\le -x-2 logseq____&|logseq____&+x\\\\\\\\\\n3logseq____&\\\\le-2logseq____&logseq____&\\\\underset{falsche Aussage}{f.A}\\\\\\\\\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[208,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[208,logseq____"^Flogseq____",176,536870922]],[logseq____"^15logseq____",[208,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[208,logseq____"^Vlogseq____",162,536870922]],[logseq____"^15logseq____",[208,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[208,logseq____"^Ulogseq____",142,536870922]],[logseq____"^15logseq____",[208,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[208,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[208,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[208,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[208,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[208,logseq____"^;logseq____",logseq____"~u6531c8ee-9680-405e-995a-aa967fa3d55alogseq____",536870922]],[logseq____"^15logseq____",[209,logseq____"^Qlogseq____",logseq____"Kombinieren:\\n\\\\begin{align}\\nL=L_1\\\\cup L_2=[3,\\\\infty)\\\\cup\\\\left[\\\\frac12,3\\\\right)=\\\\left[\\\\frac12,\\\\infty\\\\right)\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[209,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[209,logseq____"^Flogseq____",208,536870922]],[logseq____"^15logseq____",[209,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[209,logseq____"^Vlogseq____",162,536870922]],[logseq____"^15logseq____",[209,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[209,logseq____"^Ulogseq____",142,536870922]],[logseq____"^15logseq____",[209,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[209,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[209,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[209,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[209,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[209,logseq____"^;logseq____",logseq____"~u6531c8ee-429d-4623-b7b6-f5e119808ac3logseq____",536870922]],[logseq____"^15logseq____",[210,logseq____"^Qlogseq____",logseq____"Bei Multiplikation oder Division mit einem Betrag einer negativen Zahl nicht Anwendbar, da ein [[Betrag]] immer Positiv istlogseq____",536870922]],[logseq____"^15logseq____",[210,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[210,logseq____"^Flogseq____",213,536870922]],[logseq____"^15logseq____",[210,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[210,logseq____"^Vlogseq____",213,536870922]],[logseq____"^15logseq____",[210,logseq____"^Ulogseq____",146,536870922]],[logseq____"^15logseq____",[210,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[210,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[210,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[210,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[210,logseq____"^Hlogseq____",152,536870922]],[logseq____"^15logseq____",[210,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[210,logseq____"^;logseq____",logseq____"~u6531c8ee-bd08-4444-9aef-8e7c73dc61a8logseq____",536870922]],[logseq____"^15logseq____",[211,logseq____"^Qlogseq____",logseq____"## [[Lösungsmengen]]logseq____",536870922]],[logseq____"^15logseq____",[211,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[211,logseq____"^Flogseq____",216,536870922]],[logseq____"^15logseq____",[211,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[211,logseq____"^Vlogseq____",181,536870922]],[logseq____"^15logseq____",[211,logseq____"^Ulogseq____",148,536870922]],[logseq____"^15logseq____",[211,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[211,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[211,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",2],536870922]],[logseq____"^15logseq____",[211,logseq____"^Jlogseq____",[],536870922]],[logseq____"^15logseq____",[211,logseq____"^Hlogseq____",148,536870922]],[logseq____"^15logseq____",[211,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[211,logseq____"^;logseq____",logseq____"~u6531c8ee-5b92-4fdb-b09f-5013f9105a59logseq____",536870922]],[logseq____"^15logseq____",[212,logseq____"^Qlogseq____",logseq____"$\\\\text{Fall 1a}\\\\quad x\\\\ge -2$\\n\\\\begin{align}\\n|x+2|logseq____&=x+2\\\\\\\\\\nx-3logseq____&\\\\le x+2 logseq____&|logseq____&+3-x\\\\\\\\\\n0logseq____&\\\\le5\\\\\\\\\\n\\\\end{align}\\n\\\\begin{align}\\nL_1=\\\\left\\\\{x\\\\in\\\\Reals\\\\Big|x\\\\ge3,x\\\\ge-2,0\\\\le5\\\\right\\\\}=\\\\left\\\\{x\\\\in\\\\Reals\\\\Big|x\\\\ge3\\\\right\\\\}=[3,\\\\infty)\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[212,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[212,logseq____"^Flogseq____",170,536870922]],[logseq____"^15logseq____",[212,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[212,logseq____"^Vlogseq____",162,536870922]],[logseq____"^15logseq____",[212,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[212,logseq____"^Ulogseq____",142,536870922]],[logseq____"^15logseq____",[212,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[212,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[212,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[212,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[212,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[212,logseq____"^;logseq____",logseq____"~u6531c8ee-ae5a-401d-bf0c-9a6d2e1e0ca1logseq____",536870922]],[logseq____"^15logseq____",[213,logseq____"^Qlogseq____",logseq____"Regeln bei [[Ungleichungen]] sind Anwendbar aberlogseq____",536870922]],[logseq____"^15logseq____",[213,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[213,logseq____"^Flogseq____",174,536870922]],[logseq____"^15logseq____",[213,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[213,logseq____"^Vlogseq____",174,536870922]],[logseq____"^15logseq____",[213,logseq____"^Ulogseq____",146,536870922]],[logseq____"^15logseq____",[213,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[213,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[213,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[213,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[213,logseq____"^Hlogseq____",146,536870922]],[logseq____"^15logseq____",[213,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[213,logseq____"^;logseq____",logseq____"~u6531c8ee-e284-49d4-9b60-772b00c773b0logseq____",536870922]],[logseq____"^15logseq____",[214,logseq____"^Qlogseq____",logseq____"$\\\\text{Fall 3}\\\\quad xlogseq____>3$\\n\\\\begin{align}\\nx+5logseq____&logseq____>0\\\\\\\\\\n|x+5|logseq____&=x+5\\\\\\\\\\nx-3logseq____&\\\\ge0\\\\\\\\\\n|x-3|logseq____&=x-3\\\\\\\\\\nx+5logseq____&logseq____<2(x-3)\\\\\\\\\\nx+5logseq____&logseq____<2x-3 logseq____&|logseq____& -2x-5\\\\\\\\\\n-xlogseq____&logseq____<-11 logseq____&|logseq____& *(-1)\\\\\\\\\\nxlogseq____&logseq____>11\\n\\\\end{align}\\n\\\\begin{align}\\nL_3=\\\\left\\\\{x\\\\in\\\\Reals\\\\Big|xlogseq____>3,xlogseq____>11\\\\right\\\\}=(11,\\\\infty)\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[214,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[214,logseq____"^Flogseq____",206,536870922]],[logseq____"^15logseq____",[214,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[214,logseq____"^Vlogseq____",161,536870922]],[logseq____"^15logseq____",[214,logseq____"^Ulogseq____",68,536870922]],[logseq____"^15logseq____",[214,logseq____"^Ulogseq____",142,536870922]],[logseq____"^15logseq____",[214,logseq____"^Ulogseq____",152,536870922]],[logseq____"^15logseq____",[214,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[214,logseq____"^Ulogseq____",155,536870922]],[logseq____"^15logseq____",[214,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[214,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[214,logseq____"^;logseq____",logseq____"~u6531c8ee-d06a-4b4c-84ff-3a81fcfadedblogseq____",536870922]],[logseq____"^15logseq____",[215,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\nelogseq____&=\\\\text{Exzentrizität}\\\\\\\\\\nl_1 + l_2 logseq____&= l\\\\\\\\\\nllogseq____&=2\\\\sqrt{a^2+e^2}\\\\\\\\\\n\\\\frac{l^2}4logseq____&=b^2+e^2\\\\\\\\\\nb^2logseq____&=\\\\frac{l^2}4-e^2\\\\\\\\\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[215,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[215,logseq____"^Flogseq____",167,536870922]],[logseq____"^15logseq____",[215,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[215,logseq____"^Vlogseq____",180,536870922]],[logseq____"^15logseq____",[215,logseq____"^Ulogseq____",143,536870922]],[logseq____"^15logseq____",[215,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[215,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[215,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[215,logseq____"^;logseq____",logseq____"~u6531c8ee-1095-4533-a61e-92b8f905f420logseq____",536870922]],[logseq____"^15logseq____",[216,logseq____"^Qlogseq____",logseq____"$\\\\{a,b,c\\\\}$logseq____",536870922]],[logseq____"^15logseq____",[216,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[216,logseq____"^Flogseq____",181,536870922]],[logseq____"^15logseq____",[216,logseq____"^Xlogseq____",153,536870922]],[logseq____"^15logseq____",[216,logseq____"^Vlogseq____",181,536870922]],[logseq____"^15logseq____",[216,logseq____"^Ulogseq____",153,536870922]],[logseq____"^15logseq____",[216,logseq____"^Ulogseq____",158,536870922]],[logseq____"^15logseq____",[216,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[216,logseq____"^;logseq____",logseq____"~u6531c8ee-09dd-489d-a7f5-f7d2437c0f36logseq____",536870922]],[logseq____"^15logseq____",[218,logseq____"^Klogseq____",1697761518754,536870923]],[logseq____"^15logseq____",[218,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[218,logseq____"^@logseq____",false,536870923]],[logseq____"^15logseq____",[218,logseq____"^Ylogseq____",logseq____"grundlagen und diskrete strukturenlogseq____",536870923]],[logseq____"^15logseq____",[218,logseq____"^11logseq____",logseq____"Grundlagen und Diskrete Strukturenlogseq____",536870923]],[logseq____"^15logseq____",[218,logseq____"^Blogseq____",1697761518754,536870923]],[logseq____"^15logseq____",[218,logseq____"^;logseq____",logseq____"~u6531c8ef-b01c-495a-ac99-2be839ab7936logseq____",536870932]],[logseq____"^15logseq____",[219,logseq____"^Klogseq____",1697761518754,536870923]],[logseq____"^15logseq____",[219,logseq____"^@logseq____",false,536870923]],[logseq____"^15logseq____",[219,logseq____"^Ylogseq____",logseq____"grundlagen und diskrete strukturen/23-10-10logseq____",536870923]],[logseq____"^15logseq____",[219,logseq____"^Alogseq____",218,536870923]],[logseq____"^15logseq____",[219,logseq____"^11logseq____",logseq____"Grundlagen und Diskrete Strukturen/23-10-10logseq____",536870923]],[logseq____"^15logseq____",[219,logseq____"^Blogseq____",1697761518754,536870923]],[logseq____"^15logseq____",[219,logseq____"^;logseq____",logseq____"~u6531c8ee-68b2-4db4-8c09-60ae78b4aef1logseq____",536870924]],[logseq____"^15logseq____",[220,logseq____"^Qlogseq____",logseq____"[[Grundlagen und Diskrete Strukturen/23-10-10]]logseq____",536870923]],[logseq____"^15logseq____",[220,logseq____"^Ologseq____",logseq____"^16logseq____",536870923]],[logseq____"^15logseq____",[220,logseq____"^Flogseq____",218,536870923]],[logseq____"^15logseq____",[220,logseq____"^Xlogseq____",218,536870923]],[logseq____"^15logseq____",[220,logseq____"^Vlogseq____",218,536870923]],[logseq____"^15logseq____",[220,logseq____"^Ulogseq____",218,536870923]],[logseq____"^15logseq____",[220,logseq____"^Ulogseq____",219,536870923]],[logseq____"^15logseq____",[220,logseq____"^Hlogseq____",218,536870923]],[logseq____"^15logseq____",[220,logseq____"^Hlogseq____",219,536870923]],[logseq____"^15logseq____",[220,logseq____"^17logseq____",true,536870923]],[logseq____"^15logseq____",[220,logseq____"^;logseq____",logseq____"~u6531c8ee-f4db-4c88-bc05-c00206d2b2ealogseq____",536870923]],[logseq____"^15logseq____",[222,logseq____"^Klogseq____",1697761518861,536870924]],[logseq____"^15logseq____",[222,logseq____"^@logseq____",false,536870924]],[logseq____"^15logseq____",[222,logseq____"^Ylogseq____",logseq____"wahrheitswerteverlauflogseq____",536870924]],[logseq____"^15logseq____",[222,logseq____"^11logseq____",logseq____"Wahrheitswerteverlauflogseq____",536870924]],[logseq____"^15logseq____",[222,logseq____"^Blogseq____",1697761518861,536870924]],[logseq____"^15logseq____",[222,logseq____"^;logseq____",logseq____"~u6531c8ee-3fc0-42e0-a7ea-ae21becc4285logseq____",536870924]],[logseq____"^15logseq____",[223,logseq____"^Klogseq____",1697761518851,536870924]],[logseq____"^15logseq____",[223,logseq____"^@logseq____",false,536870924]],[logseq____"^15logseq____",[223,logseq____"^Ylogseq____",logseq____"aussagenlogische variablelogseq____",536870924]],[logseq____"^15logseq____",[223,logseq____"^11logseq____",logseq____"Aussagenlogische Variablelogseq____",536870924]],[logseq____"^15logseq____",[223,logseq____"^Blogseq____",1697761518851,536870924]],[logseq____"^15logseq____",[223,logseq____"^;logseq____",logseq____"~u6531c8ee-49d5-4dbc-930b-6fa52d2b51a3logseq____",536870924]],[logseq____"^15logseq____",[224,logseq____"^Klogseq____",1697761518845,536870924]],[logseq____"^15logseq____",[224,logseq____"^@logseq____",false,536870924]],[logseq____"^15logseq____",[224,logseq____"^Ylogseq____",logseq____"wikipedialogseq____",536870924]],[logseq____"^15logseq____",[224,logseq____"^11logseq____",logseq____"Wikipedialogseq____",536870924]],[logseq____"^15logseq____",[224,logseq____"^Blogseq____",1697761518845,536870924]],[logseq____"^15logseq____",[224,logseq____"^;logseq____",logseq____"~u6531c8ee-b4ee-47ee-8738-409623010a4dlogseq____",536870924]],[logseq____"^15logseq____",[225,logseq____"^Klogseq____",1697761518857,536870924]],[logseq____"^15logseq____",[225,logseq____"^@logseq____",false,536870924]],[logseq____"^15logseq____",[225,logseq____"^Ylogseq____",logseq____"formellogseq____",536870924]],[logseq____"^15logseq____",[225,logseq____"^11logseq____",logseq____"Formellogseq____",536870924]],[logseq____"^15logseq____",[225,logseq____"^Blogseq____",1697761518857,536870924]],[logseq____"^15logseq____",[225,logseq____"^;logseq____",logseq____"~u6531c8ee-7e34-454c-8afe-83492d86ca69logseq____",536870924]],[logseq____"^15logseq____",[226,logseq____"^Klogseq____",1697761518857,536870924]],[logseq____"^15logseq____",[226,logseq____"^@logseq____",false,536870924]],[logseq____"^15logseq____",[226,logseq____"^Ylogseq____",logseq____"wahrheitswertlogseq____",536870924]],[logseq____"^15logseq____",[226,logseq____"^11logseq____",logseq____"Wahrheitswertlogseq____",536870924]],[logseq____"^15logseq____",[226,logseq____"^Blogseq____",1697761518857,536870924]],[logseq____"^15logseq____",[226,logseq____"^;logseq____",logseq____"~u6531c8ef-468f-49e7-bfcf-58834dccb831logseq____",536870925]],[logseq____"^15logseq____",[227,logseq____"^Klogseq____",1697761518844,536870924]],[logseq____"^15logseq____",[227,logseq____"^@logseq____",false,536870924]],[logseq____"^15logseq____",[227,logseq____"^Ylogseq____",logseq____"\\logseq____"mathematische grundlagen der informatik\\logseq____", 5. auflage 2011logseq____",536870924]],[logseq____"^15logseq____",[227,logseq____"^11logseq____",logseq____"\\logseq____"Mathematische Grundlagen der Informatik\\logseq____", 5. Auflage 2011logseq____",536870924]],[logseq____"^15logseq____",[227,logseq____"^Blogseq____",1697761518844,536870924]],[logseq____"^15logseq____",[227,logseq____"^;logseq____",logseq____"~u6531c8ee-5cd2-449d-9f5a-9cd65d5b02edlogseq____",536870924]],[logseq____"^15logseq____",[228,logseq____"^Klogseq____",1697761518862,536870924]],[logseq____"^15logseq____",[228,logseq____"^@logseq____",false,536870924]],[logseq____"^15logseq____",[228,logseq____"^Ylogseq____",logseq____"tantologielogseq____",536870924]],[logseq____"^15logseq____",[228,logseq____"^11logseq____",logseq____"Tantologielogseq____",536870924]],[logseq____"^15logseq____",[228,logseq____"^Blogseq____",1697761518862,536870924]],[logseq____"^15logseq____",[228,logseq____"^;logseq____",logseq____"~u6531c8ee-d5d4-4034-b856-6c34edcaca6clogseq____",536870924]],[logseq____"^15logseq____",[229,logseq____"^Klogseq____",1697761518860,536870924]],[logseq____"^15logseq____",[229,logseq____"^@logseq____",false,536870924]],[logseq____"^15logseq____",[229,logseq____"^Ylogseq____",logseq____"kontradiktionlogseq____",536870924]],[logseq____"^15logseq____",[229,logseq____"^11logseq____",logseq____"Kontradiktionlogseq____",536870924]],[logseq____"^15logseq____",[229,logseq____"^Blogseq____",1697761518860,536870924]],[logseq____"^15logseq____",[229,logseq____"^;logseq____",logseq____"~u6531c8ee-7345-4af9-bc87-c3fbef7b1d85logseq____",536870924]],[logseq____"^15logseq____",[230,logseq____"^Klogseq____",1697761518855,536870924]],[logseq____"^15logseq____",[230,logseq____"^@logseq____",false,536870924]],[logseq____"^15logseq____",[230,logseq____"^Ylogseq____",logseq____"variablenlogseq____",536870924]],[logseq____"^15logseq____",[230,logseq____"^11logseq____",logseq____"Variablenlogseq____",536870924]],[logseq____"^15logseq____",[230,logseq____"^Blogseq____",1697761518855,536870924]],[logseq____"^15logseq____",[230,logseq____"^;logseq____",logseq____"~u6531c8ef-f05e-4d7f-84d8-5c4174b24661logseq____",536870925]],[logseq____"^15logseq____",[231,logseq____"^Klogseq____",1697761518850,536870924]],[logseq____"^15logseq____",[231,logseq____"^@logseq____",false,536870924]],[logseq____"^15logseq____",[231,logseq____"^Ylogseq____",logseq____"semantiklogseq____",536870924]],[logseq____"^15logseq____",[231,logseq____"^11logseq____",logseq____"Semantiklogseq____",536870924]],[logseq____"^15logseq____",[231,logseq____"^Blogseq____",1697761518850,536870924]],[logseq____"^15logseq____",[231,logseq____"^;logseq____",logseq____"~u6531c8ee-8160-4e80-9fe6-de04eca6e752logseq____",536870924]],[logseq____"^15logseq____",[232,logseq____"^Klogseq____",1697761518861,536870924]],[logseq____"^15logseq____",[232,logseq____"^@logseq____",false,536870924]],[logseq____"^15logseq____",[232,logseq____"^Ylogseq____",logseq____"logisch äquivalentlogseq____",536870924]],[logseq____"^15logseq____",[232,logseq____"^11logseq____",logseq____"Logisch Äquivalentlogseq____",536870924]],[logseq____"^15logseq____",[232,logseq____"^Blogseq____",1697761518861,536870924]],[logseq____"^15logseq____",[232,logseq____"^;logseq____",logseq____"~u6531c8ee-1724-4383-a076-15418ffbe8b6logseq____",536870924]],[logseq____"^15logseq____",[233,logseq____"^Klogseq____",1697761518856,536870924]],[logseq____"^15logseq____",[233,logseq____"^@logseq____",false,536870924]],[logseq____"^15logseq____",[233,logseq____"^Ylogseq____",logseq____"tabellenregelnlogseq____",536870924]],[logseq____"^15logseq____",[233,logseq____"^11logseq____",logseq____"Tabellenregelnlogseq____",536870924]],[logseq____"^15logseq____",[233,logseq____"^Blogseq____",1697761518856,536870924]],[logseq____"^15logseq____",[233,logseq____"^;logseq____",logseq____"~u6531c8ee-fe40-4805-a593-8058bff1a328logseq____",536870924]],[logseq____"^15logseq____",[234,logseq____"^Klogseq____",1697761518848,536870924]],[logseq____"^15logseq____",[234,logseq____"^@logseq____",false,536870924]],[logseq____"^15logseq____",[234,logseq____"^Ylogseq____",logseq____"aussagenlogseq____",536870924]],[logseq____"^15logseq____",[234,logseq____"^11logseq____",logseq____"Aussagenlogseq____",536870924]],[logseq____"^15logseq____",[234,logseq____"^Blogseq____",1697761518848,536870924]],[logseq____"^15logseq____",[234,logseq____"^;logseq____",logseq____"~u6531c8ef-f574-4d79-837c-1e1547f9b54alogseq____",536870925]],[logseq____"^15logseq____",[235,logseq____"^Klogseq____",1697761518854,536870924]],[logseq____"^15logseq____",[235,logseq____"^@logseq____",false,536870924]],[logseq____"^15logseq____",[235,logseq____"^Ylogseq____",logseq____"verknüpfungenlogseq____",536870924]],[logseq____"^15logseq____",[235,logseq____"^11logseq____",logseq____"Verknüpfungenlogseq____",536870924]],[logseq____"^15logseq____",[235,logseq____"^Blogseq____",1697761518854,536870924]],[logseq____"^15logseq____",[235,logseq____"^;logseq____",logseq____"~u6531c8ee-8a4b-463e-8427-068d8bbae395logseq____",536870924]],[logseq____"^15logseq____",[236,logseq____"^Klogseq____",1697761518855,536870924]],[logseq____"^15logseq____",[236,logseq____"^@logseq____",false,536870924]],[logseq____"^15logseq____",[236,logseq____"^Ylogseq____",logseq____"aussageformellogseq____",536870924]],[logseq____"^15logseq____",[236,logseq____"^11logseq____",logseq____"Aussageformellogseq____",536870924]],[logseq____"^15logseq____",[236,logseq____"^Blogseq____",1697761518855,536870924]],[logseq____"^15logseq____",[236,logseq____"^;logseq____",logseq____"~u6531c8ee-b303-4087-94fc-bdea4345c558logseq____",536870924]],[logseq____"^15logseq____",[237,logseq____"^Klogseq____",1697761518850,536870924]],[logseq____"^15logseq____",[237,logseq____"^@logseq____",false,536870924]],[logseq____"^15logseq____",[237,logseq____"^Ylogseq____",logseq____"syntaxlogseq____",536870924]],[logseq____"^15logseq____",[237,logseq____"^11logseq____",logseq____"Syntaxlogseq____",536870924]],[logseq____"^15logseq____",[237,logseq____"^Blogseq____",1697761518850,536870924]],[logseq____"^15logseq____",[237,logseq____"^;logseq____",logseq____"~u6531c8ee-85c1-4e58-b454-ec5308017f1clogseq____",536870924]],[logseq____"^15logseq____",[238,logseq____"^Klogseq____",1697761518848,536870924]],[logseq____"^15logseq____",[238,logseq____"^@logseq____",false,536870924]],[logseq____"^15logseq____",[238,logseq____"^Ylogseq____",logseq____"verknüpfung von aussagenlogseq____",536870924]],[logseq____"^15logseq____",[238,logseq____"^11logseq____",logseq____"Verknüpfung von Aussagenlogseq____",536870924]],[logseq____"^15logseq____",[238,logseq____"^Blogseq____",1697761518848,536870924]],[logseq____"^15logseq____",[238,logseq____"^;logseq____",logseq____"~u6531c8ee-6051-43dd-85f9-46f00d62ff4blogseq____",536870924]],[logseq____"^15logseq____",[239,logseq____"^Klogseq____",1697761518861,536870924]],[logseq____"^15logseq____",[239,logseq____"^@logseq____",false,536870924]],[logseq____"^15logseq____",[239,logseq____"^Ylogseq____",logseq____"schreibweiselogseq____",536870924]],[logseq____"^15logseq____",[239,logseq____"^11logseq____",logseq____"Schreibweiselogseq____",536870924]],[logseq____"^15logseq____",[239,logseq____"^Blogseq____",1697761518861,536870924]],[logseq____"^15logseq____",[239,logseq____"^;logseq____",logseq____"~u6531c8ee-2b3d-4985-b75b-42e212b4ca75logseq____",536870924]],[logseq____"^15logseq____",[240,logseq____"^Klogseq____",1697761518857,536870924]],[logseq____"^15logseq____",[240,logseq____"^@logseq____",false,536870924]],[logseq____"^15logseq____",[240,logseq____"^Ylogseq____",logseq____"belegunglogseq____",536870924]],[logseq____"^15logseq____",[240,logseq____"^11logseq____",logseq____"Belegunglogseq____",536870924]],[logseq____"^15logseq____",[240,logseq____"^Blogseq____",1697761518857,536870924]],[logseq____"^15logseq____",[240,logseq____"^;logseq____",logseq____"~u6531c8ee-eca4-4cac-bdc2-ac8f562131c0logseq____",536870924]],[logseq____"^15logseq____",[241,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\np\\\\land q\\\\lor r\\\\\\\\\\n(p\\\\land q)\\\\lor r\\\\\\\\\\np\\\\land (q\\\\lor r)\\\\\\\\\\n\\\\end{align}logseq____",536870924]],[logseq____"^15logseq____",[241,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[241,logseq____"^Flogseq____",264,536870924]],[logseq____"^15logseq____",[241,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[241,logseq____"^Vlogseq____",264,536870924]],[logseq____"^15logseq____",[241,logseq____"^Ulogseq____",68,536870924]],[logseq____"^15logseq____",[241,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[241,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[241,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[241,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[241,logseq____"^;logseq____",logseq____"~u6531c8ee-a1c5-4d75-bfb4-6b9bb305bbc7logseq____",536870924]],[logseq____"^15logseq____",[242,logseq____"^Qlogseq____",logseq____"# 1. [[Aussagen]]logseq____",536870924]],[logseq____"^15logseq____",[242,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[242,logseq____"^Flogseq____",255,536870924]],[logseq____"^15logseq____",[242,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[242,logseq____"^Vlogseq____",219,536870924]],[logseq____"^15logseq____",[242,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[242,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[242,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870924]],[logseq____"^15logseq____",[242,logseq____"^Jlogseq____",[],536870924]],[logseq____"^15logseq____",[242,logseq____"^Hlogseq____",234,536870924]],[logseq____"^15logseq____",[242,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[242,logseq____"^;logseq____",logseq____"~u6531c8ee-e12b-4856-9277-9324b25f5d85logseq____",536870924]],[logseq____"^15logseq____",[243,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\n(p\\\\rightarrow q)logseq____&\\\\equiv((\\\\neg q)\\\\rightarrow(\\\\neg p))\\\\\\\\\\n(p\\\\land(p\\\\rightarrow q)) logseq____&\\\\rightarrow q logseq____&\\\\quad \\\\text{Tantologie}\\n\\\\end{align}logseq____",536870924]],[logseq____"^15logseq____",[243,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[243,logseq____"^Flogseq____",263,536870924]],[logseq____"^15logseq____",[243,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[243,logseq____"^Vlogseq____",263,536870924]],[logseq____"^15logseq____",[243,logseq____"^Ulogseq____",68,536870924]],[logseq____"^15logseq____",[243,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[243,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[243,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[243,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[243,logseq____"^;logseq____",logseq____"~u6531c8ee-8a2b-454f-ab1a-e760c88acfd1logseq____",536870924]],[logseq____"^15logseq____",[244,logseq____"^Qlogseq____",logseq____"C. Meinel, M. Mundhenk, [[\\logseq____"Mathematische Grundlagen der Informatik\\logseq____", 5. Auflage 2011]]logseq____",536870924]],[logseq____"^15logseq____",[244,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[244,logseq____"^Flogseq____",255,536870924]],[logseq____"^15logseq____",[244,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[244,logseq____"^Vlogseq____",255,536870924]],[logseq____"^15logseq____",[244,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[244,logseq____"^Ulogseq____",227,536870924]],[logseq____"^15logseq____",[244,logseq____"^Hlogseq____",227,536870924]],[logseq____"^15logseq____",[244,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[244,logseq____"^;logseq____",logseq____"~u6531c8ee-41cb-469b-8764-82c779a56e89logseq____",536870924]],[logseq____"^15logseq____",[245,logseq____"^Qlogseq____",logseq____"Alternativ: $p\\\\equiv q$, falls $p\\\\leftrightarrow q$ [[Tantologie]]logseq____",536870924]],[logseq____"^15logseq____",[245,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[245,logseq____"^Flogseq____",265,536870924]],[logseq____"^15logseq____",[245,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[245,logseq____"^Vlogseq____",261,536870924]],[logseq____"^15logseq____",[245,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[245,logseq____"^Ulogseq____",228,536870924]],[logseq____"^15logseq____",[245,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[245,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[245,logseq____"^Hlogseq____",228,536870924]],[logseq____"^15logseq____",[245,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[245,logseq____"^;logseq____",logseq____"~u6531c8ee-8935-4395-8558-2476a6d0f33dlogseq____",536870924]],[logseq____"^15logseq____",[246,logseq____"^Qlogseq____",logseq____"### [[Belegung]] (der [[Variablen]])logseq____",536870924]],[logseq____"^15logseq____",[246,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[246,logseq____"^Flogseq____",251,536870924]],[logseq____"^15logseq____",[246,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[246,logseq____"^Vlogseq____",261,536870924]],[logseq____"^15logseq____",[246,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[246,logseq____"^Ulogseq____",230,536870924]],[logseq____"^15logseq____",[246,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[246,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[246,logseq____"^Ulogseq____",240,536870924]],[logseq____"^15logseq____",[246,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",3],536870924]],[logseq____"^15logseq____",[246,logseq____"^Jlogseq____",[],536870924]],[logseq____"^15logseq____",[246,logseq____"^Hlogseq____",230,536870924]],[logseq____"^15logseq____",[246,logseq____"^Hlogseq____",240,536870924]],[logseq____"^15logseq____",[246,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[246,logseq____"^;logseq____",logseq____"~u6531c8ee-df98-4236-9878-c010c1e9693clogseq____",536870924]],[logseq____"^15logseq____",[247,logseq____"^Qlogseq____",logseq____"Sind $p$ und $q$ [[Aussagen]], so auch\\n\\\\begin{align}\\n(p\\\\land q) logseq____&\\\\quadlogseq____& (\\logseq____"\\\\text{und}\\logseq____")\\\\\\\\\\n(p\\\\lor q) logseq____&logseq____& (\\logseq____"\\\\text{oder}\\logseq____")\\\\\\\\\\n(\\\\neg p) logseq____&logseq____& (\\logseq____"\\\\text{nicht}\\logseq____")\\\\\\\\\\n(p\\\\rightarrow q) logseq____&logseq____& (\\logseq____"\\\\text{impliziert}\\logseq____")\\\\\\\\\\n(p\\\\leftrightarrow q) logseq____&logseq____& (\\logseq____"\\\\text{genau dann wenn}\\logseq____")\\n\\\\end{align}logseq____",536870924]],[logseq____"^15logseq____",[247,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[247,logseq____"^Flogseq____",261,536870924]],[logseq____"^15logseq____",[247,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[247,logseq____"^Vlogseq____",261,536870924]],[logseq____"^15logseq____",[247,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[247,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[247,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[247,logseq____"^Hlogseq____",234,536870924]],[logseq____"^15logseq____",[247,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[247,logseq____"^;logseq____",logseq____"~u6531c8ee-d4a3-4f93-9a5f-159f648d49e9logseq____",536870924]],[logseq____"^15logseq____",[248,logseq____"^Qlogseq____",logseq____"### [[Wahrheitswerteverlauf]] einer [[Aussageformel]]logseq____",536870924]],[logseq____"^15logseq____",[248,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[248,logseq____"^Flogseq____",246,536870924]],[logseq____"^15logseq____",[248,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[248,logseq____"^Vlogseq____",261,536870924]],[logseq____"^15logseq____",[248,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[248,logseq____"^Ulogseq____",222,536870924]],[logseq____"^15logseq____",[248,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[248,logseq____"^Ulogseq____",236,536870924]],[logseq____"^15logseq____",[248,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[248,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",3],536870924]],[logseq____"^15logseq____",[248,logseq____"^Jlogseq____",[],536870924]],[logseq____"^15logseq____",[248,logseq____"^Hlogseq____",222,536870924]],[logseq____"^15logseq____",[248,logseq____"^Hlogseq____",236,536870924]],[logseq____"^15logseq____",[248,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[248,logseq____"^;logseq____",logseq____"~u6531c8ee-dc41-4d75-986a-48b8dbef3112logseq____",536870924]],[logseq____"^15logseq____",[249,logseq____"^Qlogseq____",logseq____"[[Wikipedia]]logseq____",536870924]],[logseq____"^15logseq____",[249,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[249,logseq____"^Flogseq____",244,536870924]],[logseq____"^15logseq____",[249,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[249,logseq____"^Vlogseq____",255,536870924]],[logseq____"^15logseq____",[249,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[249,logseq____"^Ulogseq____",224,536870924]],[logseq____"^15logseq____",[249,logseq____"^Hlogseq____",224,536870924]],[logseq____"^15logseq____",[249,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[249,logseq____"^;logseq____",logseq____"~u6531c8ee-f8b7-46c1-8c45-bb84dff9bb29logseq____",536870924]],[logseq____"^15logseq____",[250,logseq____"^Qlogseq____",logseq____"[Variable]([[Variablen]]), die den Wert $w$ oder $f$ annimmtlogseq____",536870924]],[logseq____"^15logseq____",[250,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[250,logseq____"^Flogseq____",267,536870924]],[logseq____"^15logseq____",[250,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[250,logseq____"^Vlogseq____",267,536870924]],[logseq____"^15logseq____",[250,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[250,logseq____"^Ulogseq____",223,536870924]],[logseq____"^15logseq____",[250,logseq____"^Ulogseq____",230,536870924]],[logseq____"^15logseq____",[250,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[250,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[250,logseq____"^Hlogseq____",230,536870924]],[logseq____"^15logseq____",[250,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[250,logseq____"^;logseq____",logseq____"~u6531c8ee-a1d6-4c1f-8954-3bb93be7e72dlogseq____",536870924]],[logseq____"^15logseq____",[251,logseq____"^Qlogseq____",logseq____"### [[Aussageformel]]logseq____",536870924]],[logseq____"^15logseq____",[251,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[251,logseq____"^Flogseq____",267,536870924]],[logseq____"^15logseq____",[251,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[251,logseq____"^Vlogseq____",261,536870924]],[logseq____"^15logseq____",[251,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[251,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[251,logseq____"^Ulogseq____",236,536870924]],[logseq____"^15logseq____",[251,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[251,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",3],536870924]],[logseq____"^15logseq____",[251,logseq____"^Jlogseq____",[],536870924]],[logseq____"^15logseq____",[251,logseq____"^Hlogseq____",236,536870924]],[logseq____"^15logseq____",[251,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[251,logseq____"^;logseq____",logseq____"~u6531c8ee-f791-4ee7-9635-07e2c27ee8e1logseq____",536870924]],[logseq____"^15logseq____",[252,logseq____"^Qlogseq____",logseq____"Formel, die konstant $f$ istlogseq____",536870924]],[logseq____"^15logseq____",[252,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[252,logseq____"^Flogseq____",266,536870924]],[logseq____"^15logseq____",[252,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[252,logseq____"^Vlogseq____",266,536870924]],[logseq____"^15logseq____",[252,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[252,logseq____"^Ulogseq____",229,536870924]],[logseq____"^15logseq____",[252,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[252,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[252,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[252,logseq____"^;logseq____",logseq____"~u6531c8ee-02c1-49b9-8d1d-c0e50555bfdflogseq____",536870924]],[logseq____"^15logseq____",[253,logseq____"^Qlogseq____",logseq____"Formel, die konstant $w$ istlogseq____",536870924]],[logseq____"^15logseq____",[253,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[253,logseq____"^Flogseq____",262,536870924]],[logseq____"^15logseq____",[253,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[253,logseq____"^Vlogseq____",262,536870924]],[logseq____"^15logseq____",[253,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[253,logseq____"^Ulogseq____",228,536870924]],[logseq____"^15logseq____",[253,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[253,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[253,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[253,logseq____"^;logseq____",logseq____"~u6531c8ee-b5d0-46f1-afdc-6f0c8a0d3761logseq____",536870924]],[logseq____"^15logseq____",[254,logseq____"^Qlogseq____",logseq____"Jede mögliche [[Belegung]] wird ein [[Wahrheitswert]] der [[Formel]] zugeordnet (nach [[Tabellenregeln]])logseq____",536870924]],[logseq____"^15logseq____",[254,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[254,logseq____"^Flogseq____",248,536870924]],[logseq____"^15logseq____",[254,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[254,logseq____"^Vlogseq____",248,536870924]],[logseq____"^15logseq____",[254,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[254,logseq____"^Ulogseq____",222,536870924]],[logseq____"^15logseq____",[254,logseq____"^Ulogseq____",225,536870924]],[logseq____"^15logseq____",[254,logseq____"^Ulogseq____",226,536870924]],[logseq____"^15logseq____",[254,logseq____"^Ulogseq____",233,536870924]],[logseq____"^15logseq____",[254,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[254,logseq____"^Ulogseq____",236,536870924]],[logseq____"^15logseq____",[254,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[254,logseq____"^Ulogseq____",240,536870924]],[logseq____"^15logseq____",[254,logseq____"^Hlogseq____",225,536870924]],[logseq____"^15logseq____",[254,logseq____"^Hlogseq____",226,536870924]],[logseq____"^15logseq____",[254,logseq____"^Hlogseq____",233,536870924]],[logseq____"^15logseq____",[254,logseq____"^Hlogseq____",240,536870924]],[logseq____"^15logseq____",[254,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[254,logseq____"^;logseq____",logseq____"~u6531c8ee-0ac2-4285-b92e-db070b2b8a2blogseq____",536870924]],[logseq____"^15logseq____",[255,logseq____"^Qlogseq____",logseq____"# Büchertiplogseq____",536870924]],[logseq____"^15logseq____",[255,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[255,logseq____"^Flogseq____",219,536870924]],[logseq____"^15logseq____",[255,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[255,logseq____"^Vlogseq____",219,536870924]],[logseq____"^15logseq____",[255,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[255,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870924]],[logseq____"^15logseq____",[255,logseq____"^Jlogseq____",[],536870924]],[logseq____"^15logseq____",[255,logseq____"^17logseq____",false,536870924]],[logseq____"^15logseq____",[255,logseq____"^;logseq____",logseq____"~u6531c8ee-c1d0-43cf-bd7d-2b41fdf47f7dlogseq____",536870924]],[logseq____"^15logseq____",[256,logseq____"^Qlogseq____",logseq____"$\\\\text{Beispiel: Bestimmung des }$[[Wahrheitswerteverlauf]]$\\\\text{ von }(p\\\\rightarrow q)\\\\land(q\\\\rightarrow p)$\\n|$p$|$q$||$p\\\\rightarrow q$|$q\\\\rightarrow p$|$(p\\\\rightarrow q)\\\\land(q\\\\rightarrow p)|$p\\\\leftrightarrow q$|\\n|-|-|-|-|-|-|\\n|f|f||w|w|w|w|\\n|f|w||w|f|f|f|\\n|w|f||f|w|f|f|\\n|w|w||w|w|w|w|logseq____",536870924]],[logseq____"^15logseq____",[256,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[256,logseq____"^Flogseq____",254,536870924]],[logseq____"^15logseq____",[256,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[256,logseq____"^Vlogseq____",248,536870924]],[logseq____"^15logseq____",[256,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[256,logseq____"^Ulogseq____",222,536870924]],[logseq____"^15logseq____",[256,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[256,logseq____"^Ulogseq____",236,536870924]],[logseq____"^15logseq____",[256,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[256,logseq____"^Hlogseq____",222,536870924]],[logseq____"^15logseq____",[256,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[256,logseq____"^;logseq____",logseq____"~u6531c8ee-d210-431b-b62d-fcdece724a8alogseq____",536870924]],[logseq____"^15logseq____",[257,logseq____"^Qlogseq____",logseq____"Zuordnung von $w/f$ an jede [Variable]([[Variablen]]) einer [[Aussageformel]]logseq____",536870924]],[logseq____"^15logseq____",[257,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[257,logseq____"^Flogseq____",246,536870924]],[logseq____"^15logseq____",[257,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[257,logseq____"^Vlogseq____",246,536870924]],[logseq____"^15logseq____",[257,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[257,logseq____"^Ulogseq____",230,536870924]],[logseq____"^15logseq____",[257,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[257,logseq____"^Ulogseq____",236,536870924]],[logseq____"^15logseq____",[257,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[257,logseq____"^Ulogseq____",240,536870924]],[logseq____"^15logseq____",[257,logseq____"^Hlogseq____",230,536870924]],[logseq____"^15logseq____",[257,logseq____"^Hlogseq____",236,536870924]],[logseq____"^15logseq____",[257,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[257,logseq____"^;logseq____",logseq____"~u6531c8ee-2cfe-4e1c-8633-7be9b37596e6logseq____",536870924]],[logseq____"^15logseq____",[258,logseq____"^Qlogseq____",logseq____"Soweit die \\logseq____"[[Syntax]]\\logseq____", jetzt die [[Semantik]]. Die [Wahrheitswerte]([[Wahrheitswert]])\\n ergeben sich aus den Wahrheitswerten von $p$,$q$ gemäß folgender Tabelle ([[Tabellenregeln]]).\\n|$p$|$q$||$p\\\\land q$|$p\\\\lor q$|$\\\\neg p$|$p\\\\rightarrow q$|$p\\\\leftrightarrow q$|\\n|---|----||-----------|---------|---------|-----------------|---------------------|\\n|f|f||f|f|w|w|w|\\n|f|w||f|w|w|w|f|\\n|w|f||f|w|f|f|f|\\n|w|w||w|w|f|w|w|logseq____",536870924]],[logseq____"^15logseq____",[258,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[258,logseq____"^Flogseq____",264,536870924]],[logseq____"^15logseq____",[258,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[258,logseq____"^Vlogseq____",261,536870924]],[logseq____"^15logseq____",[258,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[258,logseq____"^Ulogseq____",226,536870924]],[logseq____"^15logseq____",[258,logseq____"^Ulogseq____",231,536870924]],[logseq____"^15logseq____",[258,logseq____"^Ulogseq____",233,536870924]],[logseq____"^15logseq____",[258,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[258,logseq____"^Ulogseq____",237,536870924]],[logseq____"^15logseq____",[258,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[258,logseq____"^Hlogseq____",226,536870924]],[logseq____"^15logseq____",[258,logseq____"^Hlogseq____",231,536870924]],[logseq____"^15logseq____",[258,logseq____"^Hlogseq____",233,536870924]],[logseq____"^15logseq____",[258,logseq____"^Hlogseq____",237,536870924]],[logseq____"^15logseq____",[258,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[258,logseq____"^;logseq____",logseq____"~u6531c8ee-bc43-433c-a5aa-883d8383b8f1logseq____",536870924]],[logseq____"^15logseq____",[259,logseq____"^Qlogseq____",logseq____"$\\\\text{Beispiele}$\\n\\\\begin{align}\\nlogseq____&\\logseq____"5\\\\text{ ist prim}\\logseq____" logseq____&\\\\quadlogseq____& (w)\\\\\\\\\\n\\\\notag\\\\\\\\\\nlogseq____&\\logseq____"4\\\\text{ ist prim}\\logseq____" logseq____&logseq____& (f)\\\\\\\\\\n\\\\notag\\\\\\\\\\nlogseq____&\\logseq____"\\\\text{Jede gerade Zahl }\\\\ge4\\\\notag\\\\\\\\\\nlogseq____&\\\\text{ ist Summe zweier Primzahlen}\\logseq____" logseq____&logseq____& (\\\\text{Aussage, }w\\\\text{ oder }f)\\\\notag\\\\\\\\\\nlogseq____&(\\\\text{Vermutung von Goldback 1742})\\\\text{, }logseq____&logseq____&\\\\text{richtig für gerade Zahlen bis }4*10^{18}\\\\\\\\\\n\\\\notag\\\\\\\\\\nlogseq____&\\logseq____"\\\\text{Dieser Satz ist falsch}\\logseq____" logseq____&logseq____& (\\\\text{keine Aussage})\\\\\\\\\\n\\\\notag\\\\\\\\\\nlogseq____&\\logseq____"\\\\text{Die Gleichung } x^2+y^2=z^2 \\\\notag\\\\\\\\\\nlogseq____&\\\\text{ hat eine Lösung }x,y,z\\\\notag\\\\\\\\\\nlogseq____&\\\\text{ aus positiven ganzen Zahlen}\\logseq____" logseq____&logseq____& (w\\\\text{, z.B. }x=3,y=4,z=5)\\\\\\\\\\n\\\\notag\\\\\\\\\\nlogseq____&\\logseq____"\\\\text{Für }n\\\\ge3\\\\text{ hat die Gleichung }\\\\notag\\\\\\\\\\nlogseq____&x^n+y^n=z^n\\\\text{ eine Lösung}logseq____&logseq____& (f\\\\text{, wie von Fermat 1640 vermutet}\\\\notag\\\\\\\\\\nlogseq____&x,y,z \\\\text{aus positiven ganzen Zahlen}\\logseq____" logseq____&logseq____&\\\\text{und von Wiles 1994 bewiesen})\\\\\\\\\\n\\\\notag\\\\\\\\\\nlogseq____&\\logseq____"\\\\text{Gott ist tot}\\logseq____" logseq____&logseq____& (\\\\text{Aussage? Wohl kaum?})\\\\\\\\\\n\\\\notag\\\\\\\\\\nlogseq____&\\logseq____"\\\\text{Nietzsche ist tot}\\logseq____" logseq____&logseq____& (\\\\text{Aussage?}) \\\\\\\\\\n\\\\notag\\\\\\\\\\nlogseq____&\\logseq____"\\\\text{Die Länder einer Landkarte lassen sich}\\\\notag\\\\\\\\\\nlogseq____&\\\\text{so mit nur vier Farben färben,}\\\\notag\\\\\\\\\\nlogseq____&\\\\text{dass Länder mit einer gemeinsamen}\\\\notag\\\\\\\\\\nlogseq____&\\\\text{Grenzlienie verschieden gefärbt sind.}\\logseq____" logseq____&logseq____& (\\\\text{Aussagge; }w\\\\text{, sog 4-Farben-Satz})\\n\\\\end{align}logseq____",536870924]],[logseq____"^15logseq____",[259,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[259,logseq____"^Flogseq____",260,536870924]],[logseq____"^15logseq____",[259,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[259,logseq____"^Vlogseq____",242,536870924]],[logseq____"^15logseq____",[259,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[259,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[259,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[259,logseq____"^;logseq____",logseq____"~u6531c8ee-e556-4a52-a2bf-86a3b9d14b92logseq____",536870924]],[logseq____"^15logseq____",[260,logseq____"^Qlogseq____",logseq____"Satz, der wahr oder falsch ist, d.h. der [[Wahrheitswert]] $w$ bzw $f$ hat ($t/f$, $1/0$, $\\\\text{wahr}/\\\\text{falsch}$)logseq____",536870924]],[logseq____"^15logseq____",[260,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[260,logseq____"^Flogseq____",242,536870924]],[logseq____"^15logseq____",[260,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[260,logseq____"^Vlogseq____",242,536870924]],[logseq____"^15logseq____",[260,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[260,logseq____"^Ulogseq____",226,536870924]],[logseq____"^15logseq____",[260,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[260,logseq____"^Hlogseq____",226,536870924]],[logseq____"^15logseq____",[260,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[260,logseq____"^;logseq____",logseq____"~u6531c8ee-d0f5-4b44-aabf-ce6d0b265814logseq____",536870924]],[logseq____"^15logseq____",[261,logseq____"^Qlogseq____",logseq____"## [[Verknüpfung von Aussagen]]logseq____",536870924]],[logseq____"^15logseq____",[261,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[261,logseq____"^Flogseq____",259,536870924]],[logseq____"^15logseq____",[261,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[261,logseq____"^Vlogseq____",242,536870924]],[logseq____"^15logseq____",[261,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[261,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[261,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[261,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",2],536870924]],[logseq____"^15logseq____",[261,logseq____"^Jlogseq____",[],536870924]],[logseq____"^15logseq____",[261,logseq____"^Hlogseq____",238,536870924]],[logseq____"^15logseq____",[261,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[261,logseq____"^;logseq____",logseq____"~u6531c8ee-8665-409e-9fcf-694386167ba0logseq____",536870924]],[logseq____"^15logseq____",[262,logseq____"^Qlogseq____",logseq____"### [[Tantologie]]logseq____",536870924]],[logseq____"^15logseq____",[262,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[262,logseq____"^Flogseq____",248,536870924]],[logseq____"^15logseq____",[262,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[262,logseq____"^Vlogseq____",261,536870924]],[logseq____"^15logseq____",[262,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[262,logseq____"^Ulogseq____",228,536870924]],[logseq____"^15logseq____",[262,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[262,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[262,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",3],536870924]],[logseq____"^15logseq____",[262,logseq____"^Jlogseq____",[],536870924]],[logseq____"^15logseq____",[262,logseq____"^Hlogseq____",228,536870924]],[logseq____"^15logseq____",[262,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[262,logseq____"^;logseq____",logseq____"~u6531c8ee-93ec-40c3-91f0-5a25ac579e4clogseq____",536870924]],[logseq____"^15logseq____",[263,logseq____"^Qlogseq____",logseq____"Weitere [[Beispiele]]logseq____",536870924]],[logseq____"^15logseq____",[263,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[263,logseq____"^Flogseq____",245,536870924]],[logseq____"^15logseq____",[263,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[263,logseq____"^Vlogseq____",261,536870924]],[logseq____"^15logseq____",[263,logseq____"^Ulogseq____",68,536870924]],[logseq____"^15logseq____",[263,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[263,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[263,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[263,logseq____"^Hlogseq____",68,536870924]],[logseq____"^15logseq____",[263,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[263,logseq____"^;logseq____",logseq____"~u6531c8ee-be51-47ab-a159-5a26cc4d8826logseq____",536870924]],[logseq____"^15logseq____",[264,logseq____"^Qlogseq____",logseq____"[[Beispiele]]logseq____",536870924]],[logseq____"^15logseq____",[264,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[264,logseq____"^Flogseq____",247,536870924]],[logseq____"^15logseq____",[264,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[264,logseq____"^Vlogseq____",261,536870924]],[logseq____"^15logseq____",[264,logseq____"^Ulogseq____",68,536870924]],[logseq____"^15logseq____",[264,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[264,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[264,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[264,logseq____"^Hlogseq____",68,536870924]],[logseq____"^15logseq____",[264,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[264,logseq____"^;logseq____",logseq____"~u6531c8ee-008b-4e12-b5cb-10767f5269a3logseq____",536870924]],[logseq____"^15logseq____",[265,logseq____"^Qlogseq____",logseq____"Formeln $p,q$ [logisch äquivalent]([[Logisch Äquivalent]]), wenn sie den gleichen [[Wahrheitswerteverlauf]] haben.\\n[[Schreibweise]]: $p\\\\equiv q$logseq____",536870924]],[logseq____"^15logseq____",[265,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[265,logseq____"^Flogseq____",266,536870924]],[logseq____"^15logseq____",[265,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[265,logseq____"^Vlogseq____",261,536870924]],[logseq____"^15logseq____",[265,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[265,logseq____"^Ulogseq____",222,536870924]],[logseq____"^15logseq____",[265,logseq____"^Ulogseq____",232,536870924]],[logseq____"^15logseq____",[265,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[265,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[265,logseq____"^Ulogseq____",239,536870924]],[logseq____"^15logseq____",[265,logseq____"^Hlogseq____",222,536870924]],[logseq____"^15logseq____",[265,logseq____"^Hlogseq____",232,536870924]],[logseq____"^15logseq____",[265,logseq____"^Hlogseq____",239,536870924]],[logseq____"^15logseq____",[265,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[265,logseq____"^;logseq____",logseq____"~u6531c8ee-52c8-4f65-a8ef-fcfbf396797elogseq____",536870924]],[logseq____"^15logseq____",[266,logseq____"^Qlogseq____",logseq____"### [[Kontradiktion]]logseq____",536870924]],[logseq____"^15logseq____",[266,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[266,logseq____"^Flogseq____",262,536870924]],[logseq____"^15logseq____",[266,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[266,logseq____"^Vlogseq____",261,536870924]],[logseq____"^15logseq____",[266,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[266,logseq____"^Ulogseq____",229,536870924]],[logseq____"^15logseq____",[266,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[266,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[266,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",3],536870924]],[logseq____"^15logseq____",[266,logseq____"^Jlogseq____",[],536870924]],[logseq____"^15logseq____",[266,logseq____"^Hlogseq____",229,536870924]],[logseq____"^15logseq____",[266,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[266,logseq____"^;logseq____",logseq____"~u6531c8ee-e4cc-4e0f-8218-0f00fcfa8a8flogseq____",536870924]],[logseq____"^15logseq____",[267,logseq____"^Qlogseq____",logseq____"### [[Aussagenlogische Variable]]logseq____",536870924]],[logseq____"^15logseq____",[267,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[267,logseq____"^Flogseq____",258,536870924]],[logseq____"^15logseq____",[267,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[267,logseq____"^Vlogseq____",261,536870924]],[logseq____"^15logseq____",[267,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[267,logseq____"^Ulogseq____",223,536870924]],[logseq____"^15logseq____",[267,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[267,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[267,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",3],536870924]],[logseq____"^15logseq____",[267,logseq____"^Jlogseq____",[],536870924]],[logseq____"^15logseq____",[267,logseq____"^Hlogseq____",223,536870924]],[logseq____"^15logseq____",[267,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[267,logseq____"^;logseq____",logseq____"~u6531c8ee-24a6-4e3e-a91b-9ac2a312ff52logseq____",536870924]],[logseq____"^15logseq____",[268,logseq____"^Qlogseq____",logseq____"Entsteht durch sukzessive [[Verknüpfungen]] wie oben an Variablen ergibt #FIXMElogseq____",536870924]],[logseq____"^15logseq____",[268,logseq____"^Ologseq____",logseq____"^16logseq____",536870924]],[logseq____"^15logseq____",[268,logseq____"^Flogseq____",251,536870924]],[logseq____"^15logseq____",[268,logseq____"^Xlogseq____",219,536870924]],[logseq____"^15logseq____",[268,logseq____"^Vlogseq____",251,536870924]],[logseq____"^15logseq____",[268,logseq____"^Ulogseq____",75,536870924]],[logseq____"^15logseq____",[268,logseq____"^Ulogseq____",219,536870924]],[logseq____"^15logseq____",[268,logseq____"^Ulogseq____",234,536870924]],[logseq____"^15logseq____",[268,logseq____"^Ulogseq____",235,536870924]],[logseq____"^15logseq____",[268,logseq____"^Ulogseq____",236,536870924]],[logseq____"^15logseq____",[268,logseq____"^Ulogseq____",238,536870924]],[logseq____"^15logseq____",[268,logseq____"^Hlogseq____",75,536870924]],[logseq____"^15logseq____",[268,logseq____"^Hlogseq____",235,536870924]],[logseq____"^15logseq____",[268,logseq____"^17logseq____",true,536870924]],[logseq____"^15logseq____",[268,logseq____"^;logseq____",logseq____"~u6531c8ee-89f9-46a6-b033-69c03bb09f2flogseq____",536870924]],[logseq____"^15logseq____",[270,logseq____"^Klogseq____",1697761519059,536870925]],[logseq____"^15logseq____",[270,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[270,logseq____"^Ylogseq____",logseq____"regelnlogseq____",536870925]],[logseq____"^15logseq____",[270,logseq____"^11logseq____",logseq____"Regelnlogseq____",536870925]],[logseq____"^15logseq____",[270,logseq____"^Blogseq____",1697761519059,536870925]],[logseq____"^15logseq____",[270,logseq____"^;logseq____",logseq____"~u6531c8ef-69f3-49fb-bdef-0fb1dd477ec4logseq____",536870925]],[logseq____"^15logseq____",[271,logseq____"^Klogseq____",1697761519048,536870925]],[logseq____"^15logseq____",[271,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[271,logseq____"^Ylogseq____",logseq____"de morgansche regelnlogseq____",536870925]],[logseq____"^15logseq____",[271,logseq____"^11logseq____",logseq____"de Morgansche Regelnlogseq____",536870925]],[logseq____"^15logseq____",[271,logseq____"^Blogseq____",1697761519048,536870925]],[logseq____"^15logseq____",[271,logseq____"^;logseq____",logseq____"~u6531c8ef-8b46-4c41-a60d-f719b85c7722logseq____",536870925]],[logseq____"^15logseq____",[272,logseq____"^Klogseq____",1697761519073,536870925]],[logseq____"^15logseq____",[272,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[272,logseq____"^Ylogseq____",logseq____"q.e.d.logseq____",536870925]],[logseq____"^15logseq____",[272,logseq____"^11logseq____",logseq____"Q.E.D.logseq____",536870925]],[logseq____"^15logseq____",[272,logseq____"^Blogseq____",1697761519073,536870925]],[logseq____"^15logseq____",[272,logseq____"^;logseq____",logseq____"~u6531c8ef-77c6-465d-9912-b01997874bf7logseq____",536870933]],[logseq____"^15logseq____",[273,logseq____"^Klogseq____",1697761519061,536870925]],[logseq____"^15logseq____",[273,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[273,logseq____"^Ylogseq____",logseq____"große de morgansche regelnlogseq____",536870925]],[logseq____"^15logseq____",[273,logseq____"^11logseq____",logseq____"Große de Morgansche Regelnlogseq____",536870925]],[logseq____"^15logseq____",[273,logseq____"^Blogseq____",1697761519061,536870925]],[logseq____"^15logseq____",[273,logseq____"^;logseq____",logseq____"~u6531c8ef-bc48-45bb-a234-1ef162bd41c4logseq____",536870925]],[logseq____"^15logseq____",[274,logseq____"^Klogseq____",1697761519056,536870925]],[logseq____"^15logseq____",[274,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[274,logseq____"^Ylogseq____",logseq____"aussagenlogiklogseq____",536870925]],[logseq____"^15logseq____",[274,logseq____"^11logseq____",logseq____"Aussagenlogiklogseq____",536870925]],[logseq____"^15logseq____",[274,logseq____"^Blogseq____",1697761519056,536870925]],[logseq____"^15logseq____",[274,logseq____"^;logseq____",logseq____"~u6531c8ef-6a11-4572-805f-c45cfc31b53clogseq____",536870925]],[logseq____"^15logseq____",[275,logseq____"^Klogseq____",1697761519073,536870925]],[logseq____"^15logseq____",[275,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[275,logseq____"^Ylogseq____",logseq____"w.z.b.w.logseq____",536870925]],[logseq____"^15logseq____",[275,logseq____"^11logseq____",logseq____"w.z.b.w.logseq____",536870925]],[logseq____"^15logseq____",[275,logseq____"^Blogseq____",1697761519073,536870925]],[logseq____"^15logseq____",[275,logseq____"^;logseq____",logseq____"~u6531c8ef-47a8-48d6-80f9-f4fa566728edlogseq____",536870933]],[logseq____"^15logseq____",[276,logseq____"^Klogseq____",1697761519051,536870925]],[logseq____"^15logseq____",[276,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[276,logseq____"^Ylogseq____",logseq____"kommutativlogseq____",536870925]],[logseq____"^15logseq____",[276,logseq____"^11logseq____",logseq____"kommutativlogseq____",536870925]],[logseq____"^15logseq____",[276,logseq____"^Blogseq____",1697761519051,536870925]],[logseq____"^15logseq____",[276,logseq____"^;logseq____",logseq____"~u6531c8ef-3d2e-4caa-8a07-ef3f3918ec6dlogseq____",536870925]],[logseq____"^15logseq____",[277,logseq____"^Klogseq____",1697761519071,536870925]],[logseq____"^15logseq____",[277,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[277,logseq____"^Ylogseq____",logseq____"grundlagen und diskrete strukturen/23-10-13logseq____",536870925]],[logseq____"^15logseq____",[277,logseq____"^Alogseq____",218,536870925]],[logseq____"^15logseq____",[277,logseq____"^11logseq____",logseq____"Grundlagen und Diskrete Strukturen/23-10-13logseq____",536870925]],[logseq____"^15logseq____",[277,logseq____"^Blogseq____",1697761519071,536870925]],[logseq____"^15logseq____",[277,logseq____"^;logseq____",logseq____"~u6531c8ef-90d8-4730-a15c-eb90579d9ca8logseq____",536870925]],[logseq____"^15logseq____",[278,logseq____"^Klogseq____",1697761519069,536870925]],[logseq____"^15logseq____",[278,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[278,logseq____"^Ylogseq____",logseq____"gleichartiglogseq____",536870925]],[logseq____"^15logseq____",[278,logseq____"^11logseq____",logseq____"Gleichartiglogseq____",536870925]],[logseq____"^15logseq____",[278,logseq____"^Blogseq____",1697761519069,536870925]],[logseq____"^15logseq____",[278,logseq____"^;logseq____",logseq____"~u6531c8ef-5134-4c80-83dc-3607b6907e83logseq____",536870925]],[logseq____"^15logseq____",[279,logseq____"^Klogseq____",1697761519050,536870925]],[logseq____"^15logseq____",[279,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[279,logseq____"^Ylogseq____",logseq____"wechselseitig distributivlogseq____",536870925]],[logseq____"^15logseq____",[279,logseq____"^11logseq____",logseq____"wechselseitig distributivlogseq____",536870925]],[logseq____"^15logseq____",[279,logseq____"^Blogseq____",1697761519050,536870925]],[logseq____"^15logseq____",[279,logseq____"^;logseq____",logseq____"~u6531c8ef-5427-4ccc-8c58-44b90ec458eclogseq____",536870925]],[logseq____"^15logseq____",[280,logseq____"^Klogseq____",1697761519052,536870925]],[logseq____"^15logseq____",[280,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[280,logseq____"^Ylogseq____",logseq____"assoziativlogseq____",536870925]],[logseq____"^15logseq____",[280,logseq____"^11logseq____",logseq____"assoziativlogseq____",536870925]],[logseq____"^15logseq____",[280,logseq____"^Blogseq____",1697761519052,536870925]],[logseq____"^15logseq____",[280,logseq____"^;logseq____",logseq____"~u6531c8ef-d0eb-4eb2-8ad3-643729ecedd4logseq____",536870925]],[logseq____"^15logseq____",[281,logseq____"^Klogseq____",1697761519073,536870925]],[logseq____"^15logseq____",[281,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[281,logseq____"^Ylogseq____",logseq____"beweiselogseq____",536870925]],[logseq____"^15logseq____",[281,logseq____"^11logseq____",logseq____"Beweiselogseq____",536870925]],[logseq____"^15logseq____",[281,logseq____"^Blogseq____",1697761519073,536870925]],[logseq____"^15logseq____",[281,logseq____"^;logseq____",logseq____"~u6531c8ef-9326-49c6-a090-9c49d4c5c0belogseq____",536870925]],[logseq____"^15logseq____",[282,logseq____"^Klogseq____",1697761519070,536870925]],[logseq____"^15logseq____",[282,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[282,logseq____"^Ylogseq____",logseq____"quantorenlogseq____",536870925]],[logseq____"^15logseq____",[282,logseq____"^11logseq____",logseq____"Quantorenlogseq____",536870925]],[logseq____"^15logseq____",[282,logseq____"^Blogseq____",1697761519070,536870925]],[logseq____"^15logseq____",[282,logseq____"^;logseq____",logseq____"~u6531c8ef-4640-49a8-93bd-f47b2549067blogseq____",536870925]],[logseq____"^15logseq____",[283,logseq____"^Klogseq____",1697761519059,536870925]],[logseq____"^15logseq____",[283,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[283,logseq____"^Ylogseq____",logseq____"allquantorlogseq____",536870925]],[logseq____"^15logseq____",[283,logseq____"^11logseq____",logseq____"Allquantorlogseq____",536870925]],[logseq____"^15logseq____",[283,logseq____"^Blogseq____",1697761519059,536870925]],[logseq____"^15logseq____",[283,logseq____"^;logseq____",logseq____"~u6531c8ef-9e52-4564-b6fe-88ce0dd0a2bflogseq____",536870925]],[logseq____"^15logseq____",[284,logseq____"^Klogseq____",1697761519069,536870925]],[logseq____"^15logseq____",[284,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[284,logseq____"^Ylogseq____",logseq____"permutationlogseq____",536870925]],[logseq____"^15logseq____",[284,logseq____"^11logseq____",logseq____"Permutationlogseq____",536870925]],[logseq____"^15logseq____",[284,logseq____"^Blogseq____",1697761519069,536870925]],[logseq____"^15logseq____",[284,logseq____"^;logseq____",logseq____"~u6531c8ef-919b-498e-9162-3943c1009fd1logseq____",536870925]],[logseq____"^15logseq____",[285,logseq____"^Klogseq____",1697761519067,536870925]],[logseq____"^15logseq____",[285,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[285,logseq____"^Ylogseq____",logseq____"große azzoziativgesetzelogseq____",536870925]],[logseq____"^15logseq____",[285,logseq____"^11logseq____",logseq____"Große Azzoziativgesetzelogseq____",536870925]],[logseq____"^15logseq____",[285,logseq____"^Blogseq____",1697761519067,536870925]],[logseq____"^15logseq____",[285,logseq____"^;logseq____",logseq____"~u6531c8ef-5692-4c77-aa62-a3c737e8a039logseq____",536870925]],[logseq____"^15logseq____",[286,logseq____"^Klogseq____",1697761519050,536870925]],[logseq____"^15logseq____",[286,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[286,logseq____"^Ylogseq____",logseq____"idenpotentlogseq____",536870925]],[logseq____"^15logseq____",[286,logseq____"^11logseq____",logseq____"idenpotentlogseq____",536870925]],[logseq____"^15logseq____",[286,logseq____"^Blogseq____",1697761519050,536870925]],[logseq____"^15logseq____",[286,logseq____"^;logseq____",logseq____"~u6531c8ef-3010-4dc5-a469-9c6c75509b38logseq____",536870925]],[logseq____"^15logseq____",[287,logseq____"^Klogseq____",1697761519049,536870925]],[logseq____"^15logseq____",[287,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[287,logseq____"^Ylogseq____",logseq____"distributivlogseq____",536870925]],[logseq____"^15logseq____",[287,logseq____"^11logseq____",logseq____"distributivlogseq____",536870925]],[logseq____"^15logseq____",[287,logseq____"^Blogseq____",1697761519049,536870925]],[logseq____"^15logseq____",[287,logseq____"^;logseq____",logseq____"~u6531c8ef-6cc3-4b6e-90c1-9e5c300c6502logseq____",536870925]],[logseq____"^15logseq____",[288,logseq____"^Klogseq____",1697761519053,536870925]],[logseq____"^15logseq____",[288,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[288,logseq____"^Ylogseq____",logseq____"aussageformlogseq____",536870925]],[logseq____"^15logseq____",[288,logseq____"^11logseq____",logseq____"Aussageformlogseq____",536870925]],[logseq____"^15logseq____",[288,logseq____"^Blogseq____",1697761519053,536870925]],[logseq____"^15logseq____",[288,logseq____"^;logseq____",logseq____"~u6531c8ef-7fed-4135-9382-5a76d2b5475blogseq____",536870925]],[logseq____"^15logseq____",[289,logseq____"^Klogseq____",1697761519058,536870925]],[logseq____"^15logseq____",[289,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[289,logseq____"^Ylogseq____",logseq____"existenzquantorlogseq____",536870925]],[logseq____"^15logseq____",[289,logseq____"^11logseq____",logseq____"Existenzquantorlogseq____",536870925]],[logseq____"^15logseq____",[289,logseq____"^Blogseq____",1697761519058,536870925]],[logseq____"^15logseq____",[289,logseq____"^;logseq____",logseq____"~u6531c8ef-00bc-43e4-b326-f92e2755312dlogseq____",536870925]],[logseq____"^15logseq____",[290,logseq____"^Klogseq____",1697761519060,536870925]],[logseq____"^15logseq____",[290,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[290,logseq____"^Ylogseq____",logseq____"negationsregelnlogseq____",536870925]],[logseq____"^15logseq____",[290,logseq____"^11logseq____",logseq____"Negationsregelnlogseq____",536870925]],[logseq____"^15logseq____",[290,logseq____"^Blogseq____",1697761519060,536870925]],[logseq____"^15logseq____",[290,logseq____"^;logseq____",logseq____"~u6531c8ef-94f7-44da-9002-e7e71d1e4fcflogseq____",536870925]],[logseq____"^15logseq____",[291,logseq____"^Klogseq____",1697761519055,536870925]],[logseq____"^15logseq____",[291,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[291,logseq____"^Ylogseq____",logseq____"satzlogseq____",536870925]],[logseq____"^15logseq____",[291,logseq____"^11logseq____",logseq____"Satzlogseq____",536870925]],[logseq____"^15logseq____",[291,logseq____"^Blogseq____",1697761519055,536870925]],[logseq____"^15logseq____",[291,logseq____"^;logseq____",logseq____"~u6531c8ef-16d3-4ca1-b4c4-10ca2d8a0151logseq____",536870925]],[logseq____"^15logseq____",[292,logseq____"^Klogseq____",1697761519053,536870925]],[logseq____"^15logseq____",[292,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[292,logseq____"^Ylogseq____",logseq____"universen (logik)logseq____",536870925]],[logseq____"^15logseq____",[292,logseq____"^11logseq____",logseq____"Universen (Logik)logseq____",536870925]],[logseq____"^15logseq____",[292,logseq____"^Blogseq____",1697761519053,536870925]],[logseq____"^15logseq____",[292,logseq____"^;logseq____",logseq____"~u6531c8ef-2b1f-4d7d-9d70-88a6395e6329logseq____",536870925]],[logseq____"^15logseq____",[293,logseq____"^Klogseq____",1697761519057,536870925]],[logseq____"^15logseq____",[293,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[293,logseq____"^Ylogseq____",logseq____"sprachenlogseq____",536870925]],[logseq____"^15logseq____",[293,logseq____"^11logseq____",logseq____"Sprachenlogseq____",536870925]],[logseq____"^15logseq____",[293,logseq____"^Blogseq____",1697761519057,536870925]],[logseq____"^15logseq____",[293,logseq____"^;logseq____",logseq____"~u6531c8ef-8b1d-4953-8f82-8d58d705d9c6logseq____",536870925]],[logseq____"^15logseq____",[294,logseq____"^Klogseq____",1697761519054,536870925]],[logseq____"^15logseq____",[294,logseq____"^@logseq____",false,536870925]],[logseq____"^15logseq____",[294,logseq____"^Ylogseq____",logseq____"objekt (logik)logseq____",536870925]],[logseq____"^15logseq____",[294,logseq____"^11logseq____",logseq____"Objekt (Logik)logseq____",536870925]],[logseq____"^15logseq____",[294,logseq____"^Blogseq____",1697761519054,536870925]],[logseq____"^15logseq____",[294,logseq____"^;logseq____",logseq____"~u6531c8ef-b979-4cef-8e7d-4da504ea2cd6logseq____",536870925]],[logseq____"^15logseq____",[295,logseq____"^Qlogseq____",logseq____"[Beispiel]([[Beispiele]])logseq____",536870925]],[logseq____"^15logseq____",[295,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[295,logseq____"^Flogseq____",300,536870925]],[logseq____"^15logseq____",[295,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[295,logseq____"^Vlogseq____",329,536870925]],[logseq____"^15logseq____",[295,logseq____"^Ulogseq____",68,536870925]],[logseq____"^15logseq____",[295,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[295,logseq____"^Ulogseq____",278,536870925]],[logseq____"^15logseq____",[295,logseq____"^Ulogseq____",282,536870925]],[logseq____"^15logseq____",[295,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[295,logseq____"^Hlogseq____",68,536870925]],[logseq____"^15logseq____",[295,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[295,logseq____"^;logseq____",logseq____"~u6531c8ef-3e8d-4ea8-b041-9214b993d3d8logseq____",536870925]],[logseq____"^15logseq____",[296,logseq____"^Qlogseq____",logseq____"Verschiedene [[Quantoren]] dürfen **nicht** vertauscht werdenlogseq____",536870925]],[logseq____"^15logseq____",[296,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[296,logseq____"^Flogseq____",321,536870925]],[logseq____"^15logseq____",[296,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[296,logseq____"^Vlogseq____",300,536870925]],[logseq____"^15logseq____",[296,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[296,logseq____"^Ulogseq____",278,536870925]],[logseq____"^15logseq____",[296,logseq____"^Ulogseq____",282,536870925]],[logseq____"^15logseq____",[296,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[296,logseq____"^Hlogseq____",282,536870925]],[logseq____"^15logseq____",[296,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[296,logseq____"^;logseq____",logseq____"~u6531c8ef-6aeb-44c8-beaa-d3a8af13c909logseq____",536870925]],[logseq____"^15logseq____",[297,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\n(p\\\\land q)\\\\land r logseq____&\\\\equiv p\\\\land(q\\\\land r),\\\\quadlogseq____&\\\\text{schreibe daher: } p\\\\land q\\\\land r,\\\\quad \\\\land \\\\text{ assoziativ}\\\\\\\\\\n(p \\\\lor q) \\\\lor r logseq____&\\\\equiv p \\\\lor (q\\\\lor r),\\\\quadlogseq____&\\\\text{schreibe daher: } p\\\\lor q\\\\lor r,\\\\quad \\\\lor \\\\text{ assoziativ}\\\\\\\\\\np \\\\land q logseq____&\\\\equiv q \\\\land p,\\\\quad \\\\land logseq____&\\\\text{ kommutativ}\\\\\\\\\\np \\\\lor q logseq____&\\\\equiv q \\\\lor p,\\\\quad \\\\lor logseq____&\\\\text{ kommutativ}\\\\\\\\\\n\\\\neg(\\\\neg p) logseq____&\\\\equiv p, \\\\quad \\\\neg logseq____&\\\\text{ idenpotent}\\\\\\\\\\np\\\\land(q\\\\lor r)logseq____&\\\\equiv (p\\\\land q)\\\\lor(p\\\\land r);\\\\notag\\\\\\\\\\np\\\\lor(q\\\\land r)logseq____&\\\\equiv (p\\\\lor q)\\\\lor(p\\\\land r),\\\\quad logseq____&\\\\land,\\\\lor\\\\text{ wechselseitig distributiv}\\\\\\\\\\n\\\\neg(p\\\\land q)logseq____&\\\\equiv(\\\\neg p)\\\\lor(\\\\neg q);\\\\notag\\\\\\\\\\n\\\\neg(p\\\\land q)logseq____&\\\\equiv(\\\\neg p)\\\\land (\\\\neg q), \\\\quad logseq____&\\\\text{ (kleine) de Morgansche Regeln}\\\\\\\\\\n\\\\end{align}logseq____",536870925]],[logseq____"^15logseq____",[297,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[297,logseq____"^Flogseq____",326,536870925]],[logseq____"^15logseq____",[297,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[297,logseq____"^Vlogseq____",277,536870925]],[logseq____"^15logseq____",[297,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[297,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[297,logseq____"^;logseq____",logseq____"~u6531c8ef-15c8-48b0-b2d6-4565c3aeb26flogseq____",536870925]],[logseq____"^15logseq____",[298,logseq____"^Qlogseq____",logseq____"[Beispiel]([[Beispiele]])logseq____",536870925]],[logseq____"^15logseq____",[298,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[298,logseq____"^Flogseq____",329,536870925]],[logseq____"^15logseq____",[298,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[298,logseq____"^Vlogseq____",313,536870925]],[logseq____"^15logseq____",[298,logseq____"^Ulogseq____",68,536870925]],[logseq____"^15logseq____",[298,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[298,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[298,logseq____"^Hlogseq____",68,536870925]],[logseq____"^15logseq____",[298,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[298,logseq____"^;logseq____",logseq____"~u6531c8ee-1903-4f43-acfe-fb5058b0a9cblogseq____",536870925]],[logseq____"^15logseq____",[299,logseq____"^Qlogseq____",logseq____"Widerspruch = ↯, #logseq____",536870925]],[logseq____"^15logseq____",[299,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[299,logseq____"^Flogseq____",325,536870925]],[logseq____"^15logseq____",[299,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[299,logseq____"^Vlogseq____",325,536870925]],[logseq____"^15logseq____",[299,logseq____"^Ulogseq____",68,536870925]],[logseq____"^15logseq____",[299,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[299,logseq____"^Ulogseq____",278,536870925]],[logseq____"^15logseq____",[299,logseq____"^Ulogseq____",281,536870925]],[logseq____"^15logseq____",[299,logseq____"^Ulogseq____",282,536870925]],[logseq____"^15logseq____",[299,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[299,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[299,logseq____"^;logseq____",logseq____"~u6531c8ee-f6d4-40ac-bf4a-38617d2cacd6logseq____",536870925]],[logseq____"^15logseq____",[300,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\nlogseq____&\\\\forall x: \\\\forall y: p(x, y) \\\\equiv \\\\forall y: \\\\forall x: p(x,y)\\\\\\\\\\nlogseq____&\\\\exists x:\\\\exists y:p(x,y)\\\\equiv\\\\exists y:\\\\exists x:p(x,y)\\\\\\\\\\nlogseq____&[\\\\forall x_1:\\\\forall x_2: \\\\cdots:\\\\forall x_n:p(x_1,x_2,\\\\cdots,x_n)\\\\notag\\\\\\\\\\nlogseq____&\\\\equiv\\\\forall_{x_{\\\\pi(1)}}:\\\\forall_{x_{\\\\pi(1)}}:\\\\cdots:\\\\forall_{x_{\\\\pi(1)}}:p(x_1,x_2,\\\\cdots,x_n)\\n\\\\end{align}logseq____",536870925]],[logseq____"^15logseq____",[300,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[300,logseq____"^Flogseq____",329,536870925]],[logseq____"^15logseq____",[300,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[300,logseq____"^Vlogseq____",329,536870925]],[logseq____"^15logseq____",[300,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[300,logseq____"^Ulogseq____",278,536870925]],[logseq____"^15logseq____",[300,logseq____"^Ulogseq____",282,536870925]],[logseq____"^15logseq____",[300,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[300,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[300,logseq____"^;logseq____",logseq____"~u6531c8ef-3582-4765-bee9-582eb4fcd902logseq____",536870925]],[logseq____"^15logseq____",[301,logseq____"^Qlogseq____",logseq____"see: [[Allquantor]] [[Existenzquantor]]logseq____",536870925]],[logseq____"^15logseq____",[301,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[301,logseq____"^Flogseq____",331,536870925]],[logseq____"^15logseq____",[301,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[301,logseq____"^Vlogseq____",331,536870925]],[logseq____"^15logseq____",[301,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[301,logseq____"^Ulogseq____",283,536870925]],[logseq____"^15logseq____",[301,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[301,logseq____"^Ulogseq____",289,536870925]],[logseq____"^15logseq____",[301,logseq____"^Hlogseq____",283,536870925]],[logseq____"^15logseq____",[301,logseq____"^Hlogseq____",289,536870925]],[logseq____"^15logseq____",[301,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[301,logseq____"^;logseq____",logseq____"~u6531c8ef-8334-421c-ba8a-4ab701f29038logseq____",536870925]],[logseq____"^15logseq____",[302,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\n\\\\forall x:\\\\exists y:xlogseq____<y\\\\quad\\\\text{ist falsch}\\n\\\\end{align}\\n[Beweis]([[Beweise]]):logseq____",536870925]],[logseq____"^15logseq____",[302,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[302,logseq____"^Flogseq____",306,536870925]],[logseq____"^15logseq____",[302,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[302,logseq____"^Vlogseq____",317,536870925]],[logseq____"^15logseq____",[302,logseq____"^Ulogseq____",68,536870925]],[logseq____"^15logseq____",[302,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[302,logseq____"^Ulogseq____",278,536870925]],[logseq____"^15logseq____",[302,logseq____"^Ulogseq____",281,536870925]],[logseq____"^15logseq____",[302,logseq____"^Ulogseq____",282,536870925]],[logseq____"^15logseq____",[302,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[302,logseq____"^Hlogseq____",281,536870925]],[logseq____"^15logseq____",[302,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[302,logseq____"^;logseq____",logseq____"~u6531c8ee-c04a-4f65-9335-8d735c89459elogseq____",536870925]],[logseq____"^15logseq____",[303,logseq____"^Qlogseq____",logseq____"$\\\\exists x:p(x)$ ist die Aussage: \\logseq____"Es gibt (wenigstens) ein x aus U für das $p(x)$ wahr ist\\nIhr [[Wahrheitswert]] ist $\\\\begin{cases}w \\\\quadlogseq____&\\\\text{falls }p(x)\\\\text{ w ist für (wenigstens) ein x aus U}\\\\\\\\f\\\\quad logseq____&\\\\text{falls }p(x)\\\\text{ f ist für alle x aus U}\\\\end{cases}$logseq____",536870925]],[logseq____"^15logseq____",[303,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[303,logseq____"^Flogseq____",331,536870925]],[logseq____"^15logseq____",[303,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[303,logseq____"^Vlogseq____",313,536870925]],[logseq____"^15logseq____",[303,logseq____"^Ulogseq____",226,536870925]],[logseq____"^15logseq____",[303,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[303,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[303,logseq____"^Hlogseq____",226,536870925]],[logseq____"^15logseq____",[303,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[303,logseq____"^;logseq____",logseq____"~u6531c8ef-09dd-45be-a45a-a2ab443432f4logseq____",536870925]],[logseq____"^15logseq____",[304,logseq____"^Qlogseq____",logseq____"Sei $x$ aus $\\\\Reals$ beliebig. Setze $y:=x+1$ (ist aus $\\\\Reals$). Dann ist $xlogseq____<x+1=y$ also $xlogseq____<y$. $\\\\blacksquare$logseq____",536870925]],[logseq____"^15logseq____",[304,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[304,logseq____"^Flogseq____",306,536870925]],[logseq____"^15logseq____",[304,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[304,logseq____"^Vlogseq____",306,536870925]],[logseq____"^15logseq____",[304,logseq____"^Ulogseq____",68,536870925]],[logseq____"^15logseq____",[304,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[304,logseq____"^Ulogseq____",278,536870925]],[logseq____"^15logseq____",[304,logseq____"^Ulogseq____",281,536870925]],[logseq____"^15logseq____",[304,logseq____"^Ulogseq____",282,536870925]],[logseq____"^15logseq____",[304,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[304,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[304,logseq____"^;logseq____",logseq____"~u6531c8ee-545a-44ee-8e02-140aec47ff4dlogseq____",536870925]],[logseq____"^15logseq____",[305,logseq____"^Qlogseq____",logseq____"Endliches Universum $U$ mit Objekten $O_1,\\\\cdots,O_m$logseq____",536870925]],[logseq____"^15logseq____",[305,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[305,logseq____"^Flogseq____",309,536870925]],[logseq____"^15logseq____",[305,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[305,logseq____"^Vlogseq____",313,536870925]],[logseq____"^15logseq____",[305,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[305,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[305,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[305,logseq____"^;logseq____",logseq____"~u6531c8ef-8ecf-489b-a4cd-4b49d559421flogseq____",536870925]],[logseq____"^15logseq____",[306,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\n\\\\forall x:\\\\exists y:xlogseq____<y\\\\quad\\\\text{ist wahr}\\n\\\\end{align}\\n[Beweis]([[Beweise]]):logseq____",536870925]],[logseq____"^15logseq____",[306,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[306,logseq____"^Flogseq____",317,536870925]],[logseq____"^15logseq____",[306,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[306,logseq____"^Vlogseq____",317,536870925]],[logseq____"^15logseq____",[306,logseq____"^Ulogseq____",68,536870925]],[logseq____"^15logseq____",[306,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[306,logseq____"^Ulogseq____",278,536870925]],[logseq____"^15logseq____",[306,logseq____"^Ulogseq____",281,536870925]],[logseq____"^15logseq____",[306,logseq____"^Ulogseq____",282,536870925]],[logseq____"^15logseq____",[306,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[306,logseq____"^Hlogseq____",281,536870925]],[logseq____"^15logseq____",[306,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[306,logseq____"^;logseq____",logseq____"~u6531c8ee-72ca-4325-8176-9de8ced784d6logseq____",536870925]],[logseq____"^15logseq____",[307,logseq____"^Qlogseq____",logseq____"$\\\\blacksquare$ = Beweisende, auch [q.e.d.]([[Q.E.D.]]), [[w.z.b.w.]], QED, ![image.png](../assets/image_1697192491775_0.png)logseq____",536870925]],[logseq____"^15logseq____",[307,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[307,logseq____"^Flogseq____",304,536870925]],[logseq____"^15logseq____",[307,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[307,logseq____"^Vlogseq____",304,536870925]],[logseq____"^15logseq____",[307,logseq____"^Ulogseq____",68,536870925]],[logseq____"^15logseq____",[307,logseq____"^Ulogseq____",272,536870925]],[logseq____"^15logseq____",[307,logseq____"^Ulogseq____",275,536870925]],[logseq____"^15logseq____",[307,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[307,logseq____"^Ulogseq____",278,536870925]],[logseq____"^15logseq____",[307,logseq____"^Ulogseq____",281,536870925]],[logseq____"^15logseq____",[307,logseq____"^Ulogseq____",282,536870925]],[logseq____"^15logseq____",[307,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[307,logseq____"^Hlogseq____",272,536870925]],[logseq____"^15logseq____",[307,logseq____"^Hlogseq____",275,536870925]],[logseq____"^15logseq____",[307,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[307,logseq____"^;logseq____",logseq____"~u6531c8ee-a526-41d0-8f76-c8c37015316clogseq____",536870925]],[logseq____"^15logseq____",[308,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\n\\\\forall x:(p(x)\\\\land q(x)) logseq____&\\\\equiv (\\\\forall x: p(x)) \\\\land (\\\\forall x:q(x));\\\\notag\\\\\\\\\\n\\\\exists x: (p(x) \\\\lor q(x)) logseq____&\\\\equiv (\\\\exists x: p(x))\\\\lor(\\\\exists x: q(x)),\\\\quadlogseq____&\\\\text{Große Assoziativgesetze}\\\\\\\\\\n\\\\neg(\\\\forall x:p(x))logseq____&\\\\equiv \\\\exists x: (\\\\neg p(x));\\\\quadlogseq____&\\\\text{Große de Morgansche Regeln;}\\\\notag\\\\\\\\\\n\\\\neg(\\\\exists x: p(x)) logseq____&\\\\equiv \\\\forall x: (\\\\neg p(x)),\\\\quadlogseq____&\\\\text{Negationsregeln.}\\n\\\\end{align}logseq____",536870925]],[logseq____"^15logseq____",[308,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[308,logseq____"^Flogseq____",322,536870925]],[logseq____"^15logseq____",[308,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[308,logseq____"^Vlogseq____",322,536870925]],[logseq____"^15logseq____",[308,logseq____"^Ulogseq____",270,536870925]],[logseq____"^15logseq____",[308,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[308,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[308,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[308,logseq____"^;logseq____",logseq____"~u6531c8ef-5229-4911-8ee9-32976aabc29alogseq____",536870925]],[logseq____"^15logseq____",[309,logseq____"^Qlogseq____",logseq____"Für das leere Universum gilt\\n\\\\begin{align}\\n\\\\forall x: p(x)\\\\quadlogseq____&Tautologie\\\\\\\\\\n\\\\exists x: p(x)\\\\quadlogseq____&Kontradiktion\\\\\\\\\\n\\\\end{align}logseq____",536870925]],[logseq____"^15logseq____",[309,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[309,logseq____"^Flogseq____",324,536870925]],[logseq____"^15logseq____",[309,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[309,logseq____"^Vlogseq____",313,536870925]],[logseq____"^15logseq____",[309,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[309,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[309,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[309,logseq____"^;logseq____",logseq____"~u6531c8ef-977f-4081-9303-22a4e5328779logseq____",536870925]],[logseq____"^15logseq____",[310,logseq____"^Qlogseq____",logseq____"[[Beispiele]]logseq____",536870925]],[logseq____"^15logseq____",[310,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[310,logseq____"^Flogseq____",315,536870925]],[logseq____"^15logseq____",[310,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[310,logseq____"^Vlogseq____",313,536870925]],[logseq____"^15logseq____",[310,logseq____"^Ulogseq____",68,536870925]],[logseq____"^15logseq____",[310,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[310,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[310,logseq____"^Hlogseq____",68,536870925]],[logseq____"^15logseq____",[310,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[310,logseq____"^;logseq____",logseq____"~u6531c8ef-f852-4524-9a41-2313caa918aalogseq____",536870925]],[logseq____"^15logseq____",[311,logseq____"^Qlogseq____",logseq____"Sei $p(x,y)$ AF in Variablen $x,y$ über $U_1,U_2$\\n\\\\begin{align}\\n\\\\underbrace{\\\\forall x: \\\\underbrace{\\\\exists y: p(x,y)}_{\\\\text{AF in den Variablen }x\\\\text{ über }U_1}}_{\\\\text{Aussage}}\\n\\\\end{align}logseq____",536870925]],[logseq____"^15logseq____",[311,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[311,logseq____"^Flogseq____",332,536870925]],[logseq____"^15logseq____",[311,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[311,logseq____"^Vlogseq____",332,536870925]],[logseq____"^15logseq____",[311,logseq____"^Ulogseq____",68,536870925]],[logseq____"^15logseq____",[311,logseq____"^Ulogseq____",270,536870925]],[logseq____"^15logseq____",[311,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[311,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[311,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[311,logseq____"^;logseq____",logseq____"~u6531c8ef-5c3c-4cd9-86e6-bdfcd8b85a3dlogseq____",536870925]],[logseq____"^15logseq____",[312,logseq____"^Qlogseq____",logseq____"[[Aussageform]] (AF) über [Universen]([[Universen (Logik)]]) $U_1,\\\\cdots,U_n$:logseq____",536870925]],[logseq____"^15logseq____",[312,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[312,logseq____"^Flogseq____",313,536870925]],[logseq____"^15logseq____",[312,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[312,logseq____"^Vlogseq____",313,536870925]],[logseq____"^15logseq____",[312,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[312,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[312,logseq____"^Ulogseq____",292,536870925]],[logseq____"^15logseq____",[312,logseq____"^Hlogseq____",288,536870925]],[logseq____"^15logseq____",[312,logseq____"^Hlogseq____",292,536870925]],[logseq____"^15logseq____",[312,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[312,logseq____"^;logseq____",logseq____"~u6531c8ef-a9a0-4610-9d44-8cadd6ed1da9logseq____",536870925]],[logseq____"^15logseq____",[313,logseq____"^Qlogseq____",logseq____"# [[Aussageform]]logseq____",536870925]],[logseq____"^15logseq____",[313,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[313,logseq____"^Flogseq____",297,536870925]],[logseq____"^15logseq____",[313,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[313,logseq____"^Vlogseq____",277,536870925]],[logseq____"^15logseq____",[313,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[313,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[313,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870925]],[logseq____"^15logseq____",[313,logseq____"^Jlogseq____",[],536870925]],[logseq____"^15logseq____",[313,logseq____"^Hlogseq____",288,536870925]],[logseq____"^15logseq____",[313,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[313,logseq____"^;logseq____",logseq____"~u6531c8ef-cc0d-4d27-96d6-ce43dff235b3logseq____",536870925]],[logseq____"^15logseq____",[314,logseq____"^Qlogseq____",logseq____"Alternativschreibweisen:\\n$\\\\forall x: p(x)$ auch $\\\\bigwedge x:p(x)$\\n$\\\\exists x:p(x)$ auch $\\\\bigvee x:p(x)$logseq____",536870925]],[logseq____"^15logseq____",[314,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[314,logseq____"^Flogseq____",303,536870925]],[logseq____"^15logseq____",[314,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[314,logseq____"^Vlogseq____",313,536870925]],[logseq____"^15logseq____",[314,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[314,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[314,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[314,logseq____"^;logseq____",logseq____"~u6531c8ef-0964-474c-befc-f869e7db84c1logseq____",536870925]],[logseq____"^15logseq____",[315,logseq____"^Qlogseq____",logseq____"[[Satz]] mit [[Variablen]] $x_1,\\\\cdots,x_n$, der bei Ersetzung jedes $x_j$ durch ein [Objekt]([[Objekt (Logik)]]) aus $U_j$ stets zu einer [Aussage]([[Aussagen]]) wirdlogseq____",536870925]],[logseq____"^15logseq____",[315,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[315,logseq____"^Flogseq____",312,536870925]],[logseq____"^15logseq____",[315,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[315,logseq____"^Vlogseq____",313,536870925]],[logseq____"^15logseq____",[315,logseq____"^Ulogseq____",230,536870925]],[logseq____"^15logseq____",[315,logseq____"^Ulogseq____",234,536870925]],[logseq____"^15logseq____",[315,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[315,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[315,logseq____"^Ulogseq____",291,536870925]],[logseq____"^15logseq____",[315,logseq____"^Ulogseq____",294,536870925]],[logseq____"^15logseq____",[315,logseq____"^Hlogseq____",230,536870925]],[logseq____"^15logseq____",[315,logseq____"^Hlogseq____",234,536870925]],[logseq____"^15logseq____",[315,logseq____"^Hlogseq____",291,536870925]],[logseq____"^15logseq____",[315,logseq____"^Hlogseq____",294,536870925]],[logseq____"^15logseq____",[315,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[315,logseq____"^;logseq____",logseq____"~u6531c8ef-d8a1-4e24-994c-e2f61cd0c080logseq____",536870925]],[logseq____"^15logseq____",[316,logseq____"^Qlogseq____",logseq____"#FIXMElogseq____",536870925]],[logseq____"^15logseq____",[316,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[316,logseq____"^Flogseq____",314,536870925]],[logseq____"^15logseq____",[316,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[316,logseq____"^Vlogseq____",314,536870925]],[logseq____"^15logseq____",[316,logseq____"^Ulogseq____",75,536870925]],[logseq____"^15logseq____",[316,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[316,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[316,logseq____"^Hlogseq____",75,536870925]],[logseq____"^15logseq____",[316,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[316,logseq____"^;logseq____",logseq____"~u6531c8ef-7cf9-44a8-820c-44d89df71704logseq____",536870925]],[logseq____"^15logseq____",[317,logseq____"^Qlogseq____",logseq____"Betrachte $\\logseq____"xlogseq____<y\\logseq____"$ als AF über $\\\\Reals, \\\\Reals$logseq____",536870925]],[logseq____"^15logseq____",[317,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[317,logseq____"^Flogseq____",295,536870925]],[logseq____"^15logseq____",[317,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[317,logseq____"^Vlogseq____",295,536870925]],[logseq____"^15logseq____",[317,logseq____"^Ulogseq____",68,536870925]],[logseq____"^15logseq____",[317,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[317,logseq____"^Ulogseq____",278,536870925]],[logseq____"^15logseq____",[317,logseq____"^Ulogseq____",282,536870925]],[logseq____"^15logseq____",[317,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[317,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[317,logseq____"^;logseq____",logseq____"~u6531c8ee-9a70-4804-bff4-8ab947f7b3cblogseq____",536870925]],[logseq____"^15logseq____",[318,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\nlogseq____&\\\\neg\\\\left(\\\\forall x :\\\\exists y :\\\\forall w :\\\\forall u :\\\\exists z:p(x,y,z)\\\\rightarrow q(u,w)\\\\right)\\\\\\\\\\n\\\\equivlogseq____&\\\\exists x:(\\\\neg(\\\\exists y: \\\\forall w: \\\\forall u: \\\\exists z: p(x,y,z)\\\\rightarrow q(u,w)))\\\\\\\\\\n\\\\equivlogseq____&\\\\exists x:\\\\forall y:(\\\\neg(\\\\forall w: \\\\forall u:\\\\exists z: p(x,y,z)\\\\rightarrow q(u,w)))\\\\\\\\\\n\\\\equivlogseq____&\\\\exists x:\\\\forall y:\\\\exists w:(\\\\neg(\\\\forall u:\\\\exists z:p(x,y,z)\\\\rightarrow q(u,w)))\\\\\\\\\\n\\\\equivlogseq____&\\\\exists x: \\\\forall y: \\\\exists w: \\\\exists u : \\\\forall z:\\\\neg(p(x,y,z)\\\\rightarrow q(u,w))\\n\\\\end{align}logseq____",536870925]],[logseq____"^15logseq____",[318,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[318,logseq____"^Flogseq____",298,536870925]],[logseq____"^15logseq____",[318,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[318,logseq____"^Vlogseq____",298,536870925]],[logseq____"^15logseq____",[318,logseq____"^Ulogseq____",68,536870925]],[logseq____"^15logseq____",[318,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[318,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[318,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[318,logseq____"^;logseq____",logseq____"~u6531c8ee-061d-4497-bb9c-4b771572cbdblogseq____",536870925]],[logseq____"^15logseq____",[319,logseq____"^Qlogseq____",logseq____"Nach Ersetzung von $x$ in der AF $\\logseq____"xlogseq____<y\\logseq____"$ durch eine konkrete Zahl entsteht eine AF in der Variablen $y$, z. Bsp. $\\logseq____"17logseq____<y\\logseq____"$logseq____",536870925]],[logseq____"^15logseq____",[319,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[319,logseq____"^Flogseq____",320,536870925]],[logseq____"^15logseq____",[319,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[319,logseq____"^Vlogseq____",320,536870925]],[logseq____"^15logseq____",[319,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[319,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[319,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[319,logseq____"^;logseq____",logseq____"~u6531c8ef-39d3-44a9-bb93-4d44b1146952logseq____",536870925]],[logseq____"^15logseq____",[320,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\n\\logseq____"\\\\text{x ist prim}\\logseq____" \\\\quad logseq____& \\\\text{ist AF mit Variablen x über den natürlichen Zahlen}\\\\\\\\\\n\\logseq____"\\\\underbrace{x}_{x_1}logseq____<\\\\underbrace{y}_{x_2}\\logseq____"\\\\quad logseq____&\\\\text{ist AF mit Variablen }x,y\\\\text{ über die reellen Zahlen } \\\\underbrace{\\\\Reals}_{U_1},\\\\underbrace{\\\\Reals}_{U_2}\\\\\\\\\\n\\logseq____"\\\\text{x ist wahr}\\logseq____"\\\\quadlogseq____&\\\\text{ist AF mit Variablen x über dem Universum der Aussagen}\\n\\\\end{align}logseq____",536870925]],[logseq____"^15logseq____",[320,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[320,logseq____"^Flogseq____",310,536870925]],[logseq____"^15logseq____",[320,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[320,logseq____"^Vlogseq____",313,536870925]],[logseq____"^15logseq____",[320,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[320,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[320,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[320,logseq____"^;logseq____",logseq____"~u6531c8ef-5a5d-44a4-bea8-6a4e5fd2e1b1logseq____",536870925]],[logseq____"^15logseq____",[321,logseq____"^Qlogseq____",logseq____"wobei $\\\\pi$ eine \\logseq____"[[Permutation]]\\logseq____" der Zahl $(1,2,\\\\cdots,n)$ istlogseq____",536870925]],[logseq____"^15logseq____",[321,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[321,logseq____"^Flogseq____",300,536870925]],[logseq____"^15logseq____",[321,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[321,logseq____"^Vlogseq____",300,536870925]],[logseq____"^15logseq____",[321,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[321,logseq____"^Ulogseq____",278,536870925]],[logseq____"^15logseq____",[321,logseq____"^Ulogseq____",282,536870925]],[logseq____"^15logseq____",[321,logseq____"^Ulogseq____",284,536870925]],[logseq____"^15logseq____",[321,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[321,logseq____"^Hlogseq____",284,536870925]],[logseq____"^15logseq____",[321,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[321,logseq____"^;logseq____",logseq____"~u6531c8ef-9a4b-4ef9-8e5a-237e0fe6a1d7logseq____",536870925]],[logseq____"^15logseq____",[322,logseq____"^Qlogseq____",logseq____"## [[Regeln]]logseq____",536870925]],[logseq____"^15logseq____",[322,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[322,logseq____"^Flogseq____",314,536870925]],[logseq____"^15logseq____",[322,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[322,logseq____"^Vlogseq____",313,536870925]],[logseq____"^15logseq____",[322,logseq____"^Ulogseq____",270,536870925]],[logseq____"^15logseq____",[322,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[322,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[322,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",2],536870925]],[logseq____"^15logseq____",[322,logseq____"^Jlogseq____",[],536870925]],[logseq____"^15logseq____",[322,logseq____"^Hlogseq____",270,536870925]],[logseq____"^15logseq____",[322,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[322,logseq____"^;logseq____",logseq____"~u6531c8ef-d2ff-46a9-a3d7-95a53e8aa57blogseq____",536870925]],[logseq____"^15logseq____",[323,logseq____"^Qlogseq____",logseq____"Sei $p(x)$ AF in der Variablen $x$ über $U$:logseq____",536870925]],[logseq____"^15logseq____",[323,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[323,logseq____"^Flogseq____",320,536870925]],[logseq____"^15logseq____",[323,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[323,logseq____"^Vlogseq____",313,536870925]],[logseq____"^15logseq____",[323,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[323,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[323,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[323,logseq____"^;logseq____",logseq____"~u6531c8ef-6059-4a57-a12a-e98eb5f5f4eflogseq____",536870925]],[logseq____"^15logseq____",[324,logseq____"^Qlogseq____",logseq____"Die beiden Quantoren $\\\\forall, \\\\exists$ erweitern die [Sprache]([[Sprachen]]) der [[Aussagenlogik]]logseq____",536870925]],[logseq____"^15logseq____",[324,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[324,logseq____"^Flogseq____",323,536870925]],[logseq____"^15logseq____",[324,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[324,logseq____"^Vlogseq____",313,536870925]],[logseq____"^15logseq____",[324,logseq____"^Ulogseq____",274,536870925]],[logseq____"^15logseq____",[324,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[324,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[324,logseq____"^Ulogseq____",293,536870925]],[logseq____"^15logseq____",[324,logseq____"^Hlogseq____",274,536870925]],[logseq____"^15logseq____",[324,logseq____"^Hlogseq____",293,536870925]],[logseq____"^15logseq____",[324,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[324,logseq____"^;logseq____",logseq____"~u6531c8ef-07ea-4f3f-9524-a53ecffcce8dlogseq____",536870925]],[logseq____"^15logseq____",[325,logseq____"^Qlogseq____",logseq____"Wäre $y$ aus $\\\\Reals$ mit $xlogseq____<y$ für alle $x$ aus $\\\\Reals$, so insbesondere auch $ylogseq____<y$, Widerspruch. $\\\\blacksquare$logseq____",536870925]],[logseq____"^15logseq____",[325,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[325,logseq____"^Flogseq____",302,536870925]],[logseq____"^15logseq____",[325,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[325,logseq____"^Vlogseq____",302,536870925]],[logseq____"^15logseq____",[325,logseq____"^Ulogseq____",68,536870925]],[logseq____"^15logseq____",[325,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[325,logseq____"^Ulogseq____",278,536870925]],[logseq____"^15logseq____",[325,logseq____"^Ulogseq____",281,536870925]],[logseq____"^15logseq____",[325,logseq____"^Ulogseq____",282,536870925]],[logseq____"^15logseq____",[325,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[325,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[325,logseq____"^;logseq____",logseq____"~u6531c8ee-a0cc-47b1-81c1-c0e22ce2067blogseq____",536870925]],[logseq____"^15logseq____",[326,logseq____"^Qlogseq____",logseq____"# [[Regeln]]logseq____",536870925]],[logseq____"^15logseq____",[326,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[326,logseq____"^Flogseq____",277,536870925]],[logseq____"^15logseq____",[326,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[326,logseq____"^Vlogseq____",277,536870925]],[logseq____"^15logseq____",[326,logseq____"^Ulogseq____",270,536870925]],[logseq____"^15logseq____",[326,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[326,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870925]],[logseq____"^15logseq____",[326,logseq____"^Jlogseq____",[],536870925]],[logseq____"^15logseq____",[326,logseq____"^Hlogseq____",270,536870925]],[logseq____"^15logseq____",[326,logseq____"^17logseq____",false,536870925]],[logseq____"^15logseq____",[326,logseq____"^;logseq____",logseq____"~u6531c8ef-7cd1-4d5e-8f8b-f683452a5c63logseq____",536870925]],[logseq____"^15logseq____",[327,logseq____"^Qlogseq____",logseq____"see: [[assoziativ]] [[kommutativ]] [[idenpotent]] [[wechselseitig distributiv]] [[distributiv]] [[de Morgansche Regeln]]logseq____",536870925]],[logseq____"^15logseq____",[327,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[327,logseq____"^Flogseq____",297,536870925]],[logseq____"^15logseq____",[327,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[327,logseq____"^Vlogseq____",297,536870925]],[logseq____"^15logseq____",[327,logseq____"^Ulogseq____",271,536870925]],[logseq____"^15logseq____",[327,logseq____"^Ulogseq____",276,536870925]],[logseq____"^15logseq____",[327,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[327,logseq____"^Ulogseq____",279,536870925]],[logseq____"^15logseq____",[327,logseq____"^Ulogseq____",280,536870925]],[logseq____"^15logseq____",[327,logseq____"^Ulogseq____",286,536870925]],[logseq____"^15logseq____",[327,logseq____"^Ulogseq____",287,536870925]],[logseq____"^15logseq____",[327,logseq____"^Hlogseq____",271,536870925]],[logseq____"^15logseq____",[327,logseq____"^Hlogseq____",276,536870925]],[logseq____"^15logseq____",[327,logseq____"^Hlogseq____",279,536870925]],[logseq____"^15logseq____",[327,logseq____"^Hlogseq____",280,536870925]],[logseq____"^15logseq____",[327,logseq____"^Hlogseq____",286,536870925]],[logseq____"^15logseq____",[327,logseq____"^Hlogseq____",287,536870925]],[logseq____"^15logseq____",[327,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[327,logseq____"^;logseq____",logseq____"~u6531c8ef-5f19-4278-9003-276a744b142flogseq____",536870925]],[logseq____"^15logseq____",[328,logseq____"^Qlogseq____",logseq____"see: [[Große Azzoziativgesetze]] [[Große de Morgansche Regeln]] [[Negationsregeln]]logseq____",536870925]],[logseq____"^15logseq____",[328,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[328,logseq____"^Flogseq____",308,536870925]],[logseq____"^15logseq____",[328,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[328,logseq____"^Vlogseq____",308,536870925]],[logseq____"^15logseq____",[328,logseq____"^Ulogseq____",270,536870925]],[logseq____"^15logseq____",[328,logseq____"^Ulogseq____",273,536870925]],[logseq____"^15logseq____",[328,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[328,logseq____"^Ulogseq____",285,536870925]],[logseq____"^15logseq____",[328,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[328,logseq____"^Ulogseq____",290,536870925]],[logseq____"^15logseq____",[328,logseq____"^Hlogseq____",273,536870925]],[logseq____"^15logseq____",[328,logseq____"^Hlogseq____",285,536870925]],[logseq____"^15logseq____",[328,logseq____"^Hlogseq____",290,536870925]],[logseq____"^15logseq____",[328,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[328,logseq____"^;logseq____",logseq____"~u6531c8ef-3404-4f5f-9b33-ab3938a4c88clogseq____",536870925]],[logseq____"^15logseq____",[329,logseq____"^Qlogseq____",logseq____"[Gleichartige]([[Gleichartig]]) [[Quantoren]] dürfen vertauscht werdenlogseq____",536870925]],[logseq____"^15logseq____",[329,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[329,logseq____"^Flogseq____",322,536870925]],[logseq____"^15logseq____",[329,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[329,logseq____"^Vlogseq____",313,536870925]],[logseq____"^15logseq____",[329,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[329,logseq____"^Ulogseq____",278,536870925]],[logseq____"^15logseq____",[329,logseq____"^Ulogseq____",282,536870925]],[logseq____"^15logseq____",[329,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[329,logseq____"^Hlogseq____",278,536870925]],[logseq____"^15logseq____",[329,logseq____"^Hlogseq____",282,536870925]],[logseq____"^15logseq____",[329,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[329,logseq____"^;logseq____",logseq____"~u6531c8ef-0b04-4f95-bc6a-e1c00eb43235logseq____",536870925]],[logseq____"^15logseq____",[330,logseq____"^Qlogseq____",logseq____"$\\\\forall x:p(x)$ ist die [Aussage]([[Aussagen]]): $\\logseq____"\\\\text{Für alle x aus U ist p(x) wahr}\\logseq____"\\nIhr [[Wahrheitswert]] ist $\\\\begin{cases}w\\\\quadlogseq____&\\\\text{fallls p(x) w für alle x aus U}\\\\\\\\f\\\\quadlogseq____&\\\\text{falls p(x) f für (wenigstens) ein x aus U}\\\\end{cases}$logseq____",536870925]],[logseq____"^15logseq____",[330,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[330,logseq____"^Flogseq____",323,536870925]],[logseq____"^15logseq____",[330,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[330,logseq____"^Vlogseq____",323,536870925]],[logseq____"^15logseq____",[330,logseq____"^Ulogseq____",226,536870925]],[logseq____"^15logseq____",[330,logseq____"^Ulogseq____",234,536870925]],[logseq____"^15logseq____",[330,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[330,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[330,logseq____"^Hlogseq____",226,536870925]],[logseq____"^15logseq____",[330,logseq____"^Hlogseq____",234,536870925]],[logseq____"^15logseq____",[330,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[330,logseq____"^;logseq____",logseq____"~u6531c8ef-8878-4800-b2fb-56c5a79a3d70logseq____",536870925]],[logseq____"^15logseq____",[331,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\n\\\\underbrace{\\\\forall}_\\\\text{Allquantor} x: p(x) logseq____&\\\\equiv p(O_1) \\\\land p(O_2) \\\\land \\\\cdots \\\\land p(O_m)\\\\\\\\\\n\\\\underbrace{\\\\exists}_\\\\text{Existenzquantor} x: p(x) logseq____&\\\\equiv p(0_1) \\\\lor p(O_2) \\\\lor \\\\cdots \\\\lor p(0_m)\\\\\\\\\\n\\\\end{align}logseq____",536870925]],[logseq____"^15logseq____",[331,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[331,logseq____"^Flogseq____",305,536870925]],[logseq____"^15logseq____",[331,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[331,logseq____"^Vlogseq____",313,536870925]],[logseq____"^15logseq____",[331,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[331,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[331,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[331,logseq____"^;logseq____",logseq____"~u6531c8ef-8afb-4f4a-aee6-1b7ef3243a6dlogseq____",536870925]],[logseq____"^15logseq____",[332,logseq____"^Qlogseq____",logseq____"Schachtelung von quantoren ([Beispiel]([[Beispiele]])):logseq____",536870925]],[logseq____"^15logseq____",[332,logseq____"^Ologseq____",logseq____"^16logseq____",536870925]],[logseq____"^15logseq____",[332,logseq____"^Flogseq____",308,536870925]],[logseq____"^15logseq____",[332,logseq____"^Xlogseq____",277,536870925]],[logseq____"^15logseq____",[332,logseq____"^Vlogseq____",322,536870925]],[logseq____"^15logseq____",[332,logseq____"^Ulogseq____",68,536870925]],[logseq____"^15logseq____",[332,logseq____"^Ulogseq____",270,536870925]],[logseq____"^15logseq____",[332,logseq____"^Ulogseq____",277,536870925]],[logseq____"^15logseq____",[332,logseq____"^Ulogseq____",288,536870925]],[logseq____"^15logseq____",[332,logseq____"^Hlogseq____",68,536870925]],[logseq____"^15logseq____",[332,logseq____"^17logseq____",true,536870925]],[logseq____"^15logseq____",[332,logseq____"^;logseq____",logseq____"~u6531c8ef-a2c9-48f8-adc5-959d86ed8926logseq____",536870925]],[logseq____"^15logseq____",[334,logseq____"^Klogseq____",1697761519139,536870926]],[logseq____"^15logseq____",[334,logseq____"^@logseq____",false,536870926]],[logseq____"^15logseq____",[334,logseq____"^Ylogseq____",logseq____"logarithmusgesetzelogseq____",536870926]],[logseq____"^15logseq____",[334,logseq____"^11logseq____",logseq____"Logarithmusgesetzelogseq____",536870926]],[logseq____"^15logseq____",[334,logseq____"^Blogseq____",1697761519139,536870926]],[logseq____"^15logseq____",[334,logseq____"^;logseq____",logseq____"~u6531c8ef-72a3-4b4b-a405-75b5dd46cebclogseq____",536870926]],[logseq____"^15logseq____",[335,logseq____"^Qlogseq____",logseq____"[[Logarithmusgesetze]]logseq____",536870926]],[logseq____"^15logseq____",[335,logseq____"^Ologseq____",logseq____"^16logseq____",536870926]],[logseq____"^15logseq____",[335,logseq____"^Flogseq____",64,536870926]],[logseq____"^15logseq____",[335,logseq____"^Xlogseq____",64,536870926]],[logseq____"^15logseq____",[335,logseq____"^Vlogseq____",64,536870926]],[logseq____"^15logseq____",[335,logseq____"^Ulogseq____",64,536870926]],[logseq____"^15logseq____",[335,logseq____"^Ulogseq____",334,536870926]],[logseq____"^15logseq____",[335,logseq____"^Hlogseq____",334,536870926]],[logseq____"^15logseq____",[335,logseq____"^17logseq____",true,536870926]],[logseq____"^15logseq____",[335,logseq____"^;logseq____",logseq____"~u6531c8ef-e691-44c3-a04c-509774e9023alogseq____",536870926]],[logseq____"^15logseq____",[336,logseq____"^Qlogseq____",logseq____"logseq____",536870926]],[logseq____"^15logseq____",[336,logseq____"^Ologseq____",logseq____"^16logseq____",536870926]],[logseq____"^15logseq____",[336,logseq____"^Flogseq____",335,536870926]],[logseq____"^15logseq____",[336,logseq____"^Xlogseq____",64,536870926]],[logseq____"^15logseq____",[336,logseq____"^Vlogseq____",64,536870926]],[logseq____"^15logseq____",[336,logseq____"^Ulogseq____",64,536870926]],[logseq____"^15logseq____",[336,logseq____"^17logseq____",true,536870926]],[logseq____"^15logseq____",[336,logseq____"^;logseq____",logseq____"~u6531c8ef-436d-47dd-b899-3646fc2e9e9dlogseq____",536870926]],[logseq____"^15logseq____",[349,logseq____"^Klogseq____",1697761519175,536870929]],[logseq____"^15logseq____",[349,logseq____"^@logseq____",false,536870929]],[logseq____"^15logseq____",[349,logseq____"^Ylogseq____",logseq____"programmierung und algorithmenlogseq____",536870929]],[logseq____"^15logseq____",[349,logseq____"^11logseq____",logseq____"Programmierung und Algorithmenlogseq____",536870929]],[logseq____"^15logseq____",[349,logseq____"^Blogseq____",1697761519175,536870929]],[logseq____"^15logseq____",[349,logseq____"^;logseq____",logseq____"~u6531c8ef-39f8-445d-8659-359e40ba2adblogseq____",536870932]],[logseq____"^15logseq____",[350,logseq____"^Qlogseq____",logseq____"# Informationenlogseq____",536870929]],[logseq____"^15logseq____",[350,logseq____"^Ologseq____",logseq____"^16logseq____",536870929]],[logseq____"^15logseq____",[350,logseq____"^Flogseq____",349,536870929]],[logseq____"^15logseq____",[350,logseq____"^Xlogseq____",349,536870929]],[logseq____"^15logseq____",[350,logseq____"^Vlogseq____",349,536870929]],[logseq____"^15logseq____",[350,logseq____"^Ulogseq____",349,536870929]],[logseq____"^15logseq____",[350,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870929]],[logseq____"^15logseq____",[350,logseq____"^Jlogseq____",[],536870929]],[logseq____"^15logseq____",[350,logseq____"^17logseq____",false,536870929]],[logseq____"^15logseq____",[350,logseq____"^;logseq____",logseq____"~u6531c8ef-82a0-454d-9b54-4079e318952blogseq____",536870929]],[logseq____"^15logseq____",[351,logseq____"^Qlogseq____",logseq____"Bestehquote: 40%logseq____",536870929]],[logseq____"^15logseq____",[351,logseq____"^Ologseq____",logseq____"^16logseq____",536870929]],[logseq____"^15logseq____",[351,logseq____"^Flogseq____",350,536870929]],[logseq____"^15logseq____",[351,logseq____"^Xlogseq____",349,536870929]],[logseq____"^15logseq____",[351,logseq____"^Vlogseq____",350,536870929]],[logseq____"^15logseq____",[351,logseq____"^Ulogseq____",349,536870929]],[logseq____"^15logseq____",[351,logseq____"^17logseq____",true,536870929]],[logseq____"^15logseq____",[351,logseq____"^;logseq____",logseq____"~u6531c8ef-be8c-421c-a88e-6f98ff39e853logseq____",536870929]],[logseq____"^15logseq____",[352,logseq____"^Qlogseq____",logseq____"## Bonuspunktelogseq____",536870929]],[logseq____"^15logseq____",[352,logseq____"^Ologseq____",logseq____"^16logseq____",536870929]],[logseq____"^15logseq____",[352,logseq____"^Flogseq____",351,536870929]],[logseq____"^15logseq____",[352,logseq____"^Xlogseq____",349,536870929]],[logseq____"^15logseq____",[352,logseq____"^Vlogseq____",350,536870929]],[logseq____"^15logseq____",[352,logseq____"^Ulogseq____",349,536870929]],[logseq____"^15logseq____",[352,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",2],536870929]],[logseq____"^15logseq____",[352,logseq____"^Jlogseq____",[],536870929]],[logseq____"^15logseq____",[352,logseq____"^17logseq____",true,536870929]],[logseq____"^15logseq____",[352,logseq____"^;logseq____",logseq____"~u6531c8ef-441d-4d2c-a1ee-e3bbf35ec709logseq____",536870929]],[logseq____"^15logseq____",[353,logseq____"^Qlogseq____",logseq____"Übungsblätter abgebenlogseq____",536870929]],[logseq____"^15logseq____",[353,logseq____"^Ologseq____",logseq____"^16logseq____",536870929]],[logseq____"^15logseq____",[353,logseq____"^Flogseq____",352,536870929]],[logseq____"^15logseq____",[353,logseq____"^Xlogseq____",349,536870929]],[logseq____"^15logseq____",[353,logseq____"^Vlogseq____",352,536870929]],[logseq____"^15logseq____",[353,logseq____"^Ulogseq____",349,536870929]],[logseq____"^15logseq____",[353,logseq____"^17logseq____",true,536870929]],[logseq____"^15logseq____",[353,logseq____"^;logseq____",logseq____"~u6531c8ef-5022-46c9-807c-fa41959e196alogseq____",536870929]],[logseq____"^15logseq____",[354,logseq____"^Qlogseq____",logseq____"Übungsprüfungenlogseq____",536870929]],[logseq____"^15logseq____",[354,logseq____"^Ologseq____",logseq____"^16logseq____",536870929]],[logseq____"^15logseq____",[354,logseq____"^Flogseq____",353,536870929]],[logseq____"^15logseq____",[354,logseq____"^Xlogseq____",349,536870929]],[logseq____"^15logseq____",[354,logseq____"^Vlogseq____",352,536870929]],[logseq____"^15logseq____",[354,logseq____"^Ulogseq____",349,536870929]],[logseq____"^15logseq____",[354,logseq____"^17logseq____",true,536870929]],[logseq____"^15logseq____",[354,logseq____"^;logseq____",logseq____"~u6531c8ef-9b0d-4c40-9008-043d38288974logseq____",536870929]],[logseq____"^15logseq____",[356,logseq____"^Qlogseq____",logseq____"# Bedeutunglogseq____",536870930]],[logseq____"^15logseq____",[356,logseq____"^Ologseq____",logseq____"^16logseq____",536870930]],[logseq____"^15logseq____",[356,logseq____"^Flogseq____",272,536870930]],[logseq____"^15logseq____",[356,logseq____"^Xlogseq____",272,536870930]],[logseq____"^15logseq____",[356,logseq____"^Vlogseq____",272,536870930]],[logseq____"^15logseq____",[356,logseq____"^Ulogseq____",272,536870930]],[logseq____"^15logseq____",[356,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870930]],[logseq____"^15logseq____",[356,logseq____"^Jlogseq____",[],536870930]],[logseq____"^15logseq____",[356,logseq____"^17logseq____",false,536870930]],[logseq____"^15logseq____",[356,logseq____"^;logseq____",logseq____"~u6531c8ef-1e61-4719-97e2-94596ffdc258logseq____",536870930]],[logseq____"^15logseq____",[357,logseq____"^Qlogseq____",logseq____"Q.E.D. = \\logseq____"quod erat demonstrandum\\logseq____"logseq____",536870930]],[logseq____"^15logseq____",[357,logseq____"^Ologseq____",logseq____"^16logseq____",536870930]],[logseq____"^15logseq____",[357,logseq____"^Flogseq____",356,536870930]],[logseq____"^15logseq____",[357,logseq____"^Xlogseq____",272,536870930]],[logseq____"^15logseq____",[357,logseq____"^Vlogseq____",356,536870930]],[logseq____"^15logseq____",[357,logseq____"^Ulogseq____",272,536870930]],[logseq____"^15logseq____",[357,logseq____"^17logseq____",true,536870930]],[logseq____"^15logseq____",[357,logseq____"^;logseq____",logseq____"~u6531c8ef-0370-4689-bab9-2ad2fb6dd08elogseq____",536870930]],[logseq____"^15logseq____",[358,logseq____"^Qlogseq____",logseq____"lat. für \\logseq____"was zu beweisen wahr\\logseq____" (siehe [[w.z.b.w.]])logseq____",536870930]],[logseq____"^15logseq____",[358,logseq____"^Ologseq____",logseq____"^16logseq____",536870930]],[logseq____"^15logseq____",[358,logseq____"^Flogseq____",357,536870930]],[logseq____"^15logseq____",[358,logseq____"^Xlogseq____",272,536870930]],[logseq____"^15logseq____",[358,logseq____"^Vlogseq____",356,536870930]],[logseq____"^15logseq____",[358,logseq____"^Ulogseq____",272,536870930]],[logseq____"^15logseq____",[358,logseq____"^Ulogseq____",275,536870930]],[logseq____"^15logseq____",[358,logseq____"^Hlogseq____",275,536870930]],[logseq____"^15logseq____",[358,logseq____"^17logseq____",true,536870930]],[logseq____"^15logseq____",[358,logseq____"^;logseq____",logseq____"~u6531c8ef-1a73-45dd-a4ce-3055fb26f955logseq____",536870930]],[logseq____"^15logseq____",[359,logseq____"^Qlogseq____",logseq____"Signalisiert das Ende eines Beweiseslogseq____",536870930]],[logseq____"^15logseq____",[359,logseq____"^Ologseq____",logseq____"^16logseq____",536870930]],[logseq____"^15logseq____",[359,logseq____"^Flogseq____",358,536870930]],[logseq____"^15logseq____",[359,logseq____"^Xlogseq____",272,536870930]],[logseq____"^15logseq____",[359,logseq____"^Vlogseq____",356,536870930]],[logseq____"^15logseq____",[359,logseq____"^Ulogseq____",272,536870930]],[logseq____"^15logseq____",[359,logseq____"^17logseq____",true,536870930]],[logseq____"^15logseq____",[359,logseq____"^;logseq____",logseq____"~u6531c8ef-cbd2-4b6a-834f-30bd4701b2felogseq____",536870930]],[logseq____"^15logseq____",[361,logseq____"^Klogseq____",1697761519202,536870931]],[logseq____"^15logseq____",[361,logseq____"^@logseq____",false,536870931]],[logseq____"^15logseq____",[361,logseq____"^Ylogseq____",logseq____"ungleichheitszeichenlogseq____",536870931]],[logseq____"^15logseq____",[361,logseq____"^11logseq____",logseq____"Ungleichheitszeichenlogseq____",536870931]],[logseq____"^15logseq____",[361,logseq____"^Blogseq____",1697761519202,536870931]],[logseq____"^15logseq____",[361,logseq____"^;logseq____",logseq____"~u6531c8ef-123e-4685-ad08-95534b279f7flogseq____",536870931]],[logseq____"^15logseq____",[362,logseq____"^Klogseq____",1697761519203,536870931]],[logseq____"^15logseq____",[362,logseq____"^@logseq____",false,536870931]],[logseq____"^15logseq____",[362,logseq____"^Ylogseq____",logseq____"divisionlogseq____",536870931]],[logseq____"^15logseq____",[362,logseq____"^11logseq____",logseq____"Divisionlogseq____",536870931]],[logseq____"^15logseq____",[362,logseq____"^Blogseq____",1697761519203,536870931]],[logseq____"^15logseq____",[362,logseq____"^;logseq____",logseq____"~u6531c8ef-8cf3-499f-8916-234d9727df5dlogseq____",536870931]],[logseq____"^15logseq____",[363,logseq____"^Klogseq____",1697761519203,536870931]],[logseq____"^15logseq____",[363,logseq____"^@logseq____",false,536870931]],[logseq____"^15logseq____",[363,logseq____"^Ylogseq____",logseq____"multiplikationlogseq____",536870931]],[logseq____"^15logseq____",[363,logseq____"^11logseq____",logseq____"Multiplikationlogseq____",536870931]],[logseq____"^15logseq____",[363,logseq____"^Blogseq____",1697761519203,536870931]],[logseq____"^15logseq____",[363,logseq____"^;logseq____",logseq____"~u6531c8ef-6a22-452a-aad8-8d52b8031c45logseq____",536870931]],[logseq____"^15logseq____",[364,logseq____"^Qlogseq____",logseq____"# Regelnlogseq____",536870931]],[logseq____"^15logseq____",[364,logseq____"^Ologseq____",logseq____"^16logseq____",536870931]],[logseq____"^15logseq____",[364,logseq____"^Flogseq____",146,536870931]],[logseq____"^15logseq____",[364,logseq____"^Xlogseq____",146,536870931]],[logseq____"^15logseq____",[364,logseq____"^Vlogseq____",146,536870931]],[logseq____"^15logseq____",[364,logseq____"^Ulogseq____",146,536870931]],[logseq____"^15logseq____",[364,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870931]],[logseq____"^15logseq____",[364,logseq____"^Jlogseq____",[],536870931]],[logseq____"^15logseq____",[364,logseq____"^17logseq____",false,536870931]],[logseq____"^15logseq____",[364,logseq____"^;logseq____",logseq____"~u6531c8ef-bf10-4934-9d10-b1cddf83f612logseq____",536870931]],[logseq____"^15logseq____",[365,logseq____"^Qlogseq____",logseq____"Bei [[Multiplikation]] oder [[Division]] mit einer negativen Zahl wird das [[Ungleichheitszeichen]] umgekehrtlogseq____",536870931]],[logseq____"^15logseq____",[365,logseq____"^Ologseq____",logseq____"^16logseq____",536870931]],[logseq____"^15logseq____",[365,logseq____"^Flogseq____",364,536870931]],[logseq____"^15logseq____",[365,logseq____"^Xlogseq____",146,536870931]],[logseq____"^15logseq____",[365,logseq____"^Vlogseq____",364,536870931]],[logseq____"^15logseq____",[365,logseq____"^Ulogseq____",146,536870931]],[logseq____"^15logseq____",[365,logseq____"^Ulogseq____",361,536870931]],[logseq____"^15logseq____",[365,logseq____"^Ulogseq____",362,536870931]],[logseq____"^15logseq____",[365,logseq____"^Ulogseq____",363,536870931]],[logseq____"^15logseq____",[365,logseq____"^Hlogseq____",361,536870931]],[logseq____"^15logseq____",[365,logseq____"^Hlogseq____",362,536870931]],[logseq____"^15logseq____",[365,logseq____"^Hlogseq____",363,536870931]],[logseq____"^15logseq____",[365,logseq____"^17logseq____",true,536870931]],[logseq____"^15logseq____",[365,logseq____"^;logseq____",logseq____"~u6531c8ef-44fe-4f90-9b9d-c65bbb13d411logseq____",536870931]],[logseq____"^15logseq____",[366,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\n\\logseq____"logseq____>\\logseq____"logseq____&\\\\rightarrow\\logseq____"logseq____<\\logseq____"\\\\\\\\\\n\\logseq____"logseq____<\\logseq____"logseq____&\\\\rightarrow\\logseq____"logseq____>\\logseq____"\\\\\\\\\\n\\logseq____"\\\\ge\\logseq____"logseq____&\\\\rightarrow\\logseq____"\\\\le\\logseq____"\\\\\\\\\\n\\logseq____"\\\\le\\logseq____"logseq____&\\\\rightarrow\\logseq____"\\\\ge\\logseq____"\\\\\\\\\\n\\\\end{align}logseq____",536870931]],[logseq____"^15logseq____",[366,logseq____"^Ologseq____",logseq____"^16logseq____",536870931]],[logseq____"^15logseq____",[366,logseq____"^Flogseq____",365,536870931]],[logseq____"^15logseq____",[366,logseq____"^Xlogseq____",146,536870931]],[logseq____"^15logseq____",[366,logseq____"^Vlogseq____",365,536870931]],[logseq____"^15logseq____",[366,logseq____"^Ulogseq____",146,536870931]],[logseq____"^15logseq____",[366,logseq____"^Ulogseq____",361,536870931]],[logseq____"^15logseq____",[366,logseq____"^Ulogseq____",362,536870931]],[logseq____"^15logseq____",[366,logseq____"^Ulogseq____",363,536870931]],[logseq____"^15logseq____",[366,logseq____"^17logseq____",true,536870931]],[logseq____"^15logseq____",[366,logseq____"^;logseq____",logseq____"~u6531c8ef-fa31-462a-b66d-f3a7cd7e4a09logseq____",536870931]],[logseq____"^15logseq____",[367,logseq____"^Qlogseq____",logseq____"logseq____",536870931]],[logseq____"^15logseq____",[367,logseq____"^Ologseq____",logseq____"^16logseq____",536870931]],[logseq____"^15logseq____",[367,logseq____"^Flogseq____",366,536870931]],[logseq____"^15logseq____",[367,logseq____"^Xlogseq____",146,536870931]],[logseq____"^15logseq____",[367,logseq____"^Vlogseq____",365,536870931]],[logseq____"^15logseq____",[367,logseq____"^Ulogseq____",146,536870931]],[logseq____"^15logseq____",[367,logseq____"^Ulogseq____",361,536870931]],[logseq____"^15logseq____",[367,logseq____"^Ulogseq____",362,536870931]],[logseq____"^15logseq____",[367,logseq____"^Ulogseq____",363,536870931]],[logseq____"^15logseq____",[367,logseq____"^17logseq____",true,536870931]],[logseq____"^15logseq____",[367,logseq____"^;logseq____",logseq____"~u6531c8ef-3d4e-400b-8d99-49617e65dc98logseq____",536870931]],[logseq____"^15logseq____",[369,logseq____"^Klogseq____",1697761519218,536870932]],[logseq____"^15logseq____",[369,logseq____"^@logseq____",false,536870932]],[logseq____"^15logseq____",[369,logseq____"^Ylogseq____",logseq____"vorlesungs notizenlogseq____",536870932]],[logseq____"^15logseq____",[369,logseq____"^11logseq____",logseq____"Vorlesungs Notizenlogseq____",536870932]],[logseq____"^15logseq____",[369,logseq____"^Blogseq____",1697761519218,536870932]],[logseq____"^15logseq____",[369,logseq____"^;logseq____",logseq____"~u6531c8ef-922f-46de-b760-35d4383d4c39logseq____",536870932]],[logseq____"^15logseq____",[370,logseq____"^Qlogseq____",logseq____"[[Auffrischung Mathematik]]logseq____",536870932]],[logseq____"^15logseq____",[370,logseq____"^Ologseq____",logseq____"^16logseq____",536870932]],[logseq____"^15logseq____",[370,logseq____"^Flogseq____",369,536870932]],[logseq____"^15logseq____",[370,logseq____"^Xlogseq____",369,536870932]],[logseq____"^15logseq____",[370,logseq____"^Vlogseq____",369,536870932]],[logseq____"^15logseq____",[370,logseq____"^Ulogseq____",56,536870932]],[logseq____"^15logseq____",[370,logseq____"^Ulogseq____",369,536870932]],[logseq____"^15logseq____",[370,logseq____"^Hlogseq____",56,536870932]],[logseq____"^15logseq____",[370,logseq____"^17logseq____",true,536870932]],[logseq____"^15logseq____",[370,logseq____"^;logseq____",logseq____"~u6531c8ef-676b-4150-901e-380df88b42f4logseq____",536870932]],[logseq____"^15logseq____",[371,logseq____"^Qlogseq____",logseq____"[[Mathematik für Informatiker 1]]logseq____",536870932]],[logseq____"^15logseq____",[371,logseq____"^Ologseq____",logseq____"^16logseq____",536870932]],[logseq____"^15logseq____",[371,logseq____"^Flogseq____",370,536870932]],[logseq____"^15logseq____",[371,logseq____"^Xlogseq____",369,536870932]],[logseq____"^15logseq____",[371,logseq____"^Vlogseq____",369,536870932]],[logseq____"^15logseq____",[371,logseq____"^Ulogseq____",338,536870932]],[logseq____"^15logseq____",[371,logseq____"^Ulogseq____",369,536870932]],[logseq____"^15logseq____",[371,logseq____"^Hlogseq____",338,536870932]],[logseq____"^15logseq____",[371,logseq____"^17logseq____",true,536870932]],[logseq____"^15logseq____",[371,logseq____"^;logseq____",logseq____"~u6531c8ef-e660-41db-b893-577f154de97alogseq____",536870932]],[logseq____"^15logseq____",[372,logseq____"^Qlogseq____",logseq____"[[Grundlagen und Diskrete Strukturen]]logseq____",536870932]],[logseq____"^15logseq____",[372,logseq____"^Ologseq____",logseq____"^16logseq____",536870932]],[logseq____"^15logseq____",[372,logseq____"^Flogseq____",371,536870932]],[logseq____"^15logseq____",[372,logseq____"^Xlogseq____",369,536870932]],[logseq____"^15logseq____",[372,logseq____"^Vlogseq____",369,536870932]],[logseq____"^15logseq____",[372,logseq____"^Ulogseq____",218,536870932]],[logseq____"^15logseq____",[372,logseq____"^Ulogseq____",369,536870932]],[logseq____"^15logseq____",[372,logseq____"^Hlogseq____",218,536870932]],[logseq____"^15logseq____",[372,logseq____"^17logseq____",true,536870932]],[logseq____"^15logseq____",[372,logseq____"^;logseq____",logseq____"~u6531c8ef-4ade-4726-907f-525474e36270logseq____",536870932]],[logseq____"^15logseq____",[373,logseq____"^Qlogseq____",logseq____"[[Programmierung und Algorithmen]]logseq____",536870932]],[logseq____"^15logseq____",[373,logseq____"^Ologseq____",logseq____"^16logseq____",536870932]],[logseq____"^15logseq____",[373,logseq____"^Flogseq____",372,536870932]],[logseq____"^15logseq____",[373,logseq____"^Xlogseq____",369,536870932]],[logseq____"^15logseq____",[373,logseq____"^Vlogseq____",369,536870932]],[logseq____"^15logseq____",[373,logseq____"^Ulogseq____",349,536870932]],[logseq____"^15logseq____",[373,logseq____"^Ulogseq____",369,536870932]],[logseq____"^15logseq____",[373,logseq____"^Hlogseq____",349,536870932]],[logseq____"^15logseq____",[373,logseq____"^17logseq____",true,536870932]],[logseq____"^15logseq____",[373,logseq____"^;logseq____",logseq____"~u6531c8ef-279f-45be-90b0-3fe38a405beblogseq____",536870932]],[logseq____"^15logseq____",[374,logseq____"^Qlogseq____",logseq____"logseq____<iframe src=\\logseq____"https://cal.lu-dev.de\\logseq____" style=\\logseq____"width: 100%; height: 1220px\\logseq____"logseq____>logseq____</iframelogseq____>logseq____",536870932]],[logseq____"^15logseq____",[374,logseq____"^Ologseq____",logseq____"^16logseq____",536870932]],[logseq____"^15logseq____",[374,logseq____"^Flogseq____",373,536870932]],[logseq____"^15logseq____",[374,logseq____"^Xlogseq____",369,536870932]],[logseq____"^15logseq____",[374,logseq____"^Vlogseq____",369,536870932]],[logseq____"^15logseq____",[374,logseq____"^Ulogseq____",369,536870932]],[logseq____"^15logseq____",[374,logseq____"^17logseq____",true,536870932]],[logseq____"^15logseq____",[374,logseq____"^;logseq____",logseq____"~u6531c8ef-c6f2-44c7-b601-74ba5f75e8balogseq____",536870932]],[logseq____"^15logseq____",[375,logseq____"^Qlogseq____",logseq____"logseq____",536870932]],[logseq____"^15logseq____",[375,logseq____"^Ologseq____",logseq____"^16logseq____",536870932]],[logseq____"^15logseq____",[375,logseq____"^Flogseq____",374,536870932]],[logseq____"^15logseq____",[375,logseq____"^Xlogseq____",369,536870932]],[logseq____"^15logseq____",[375,logseq____"^Vlogseq____",369,536870932]],[logseq____"^15logseq____",[375,logseq____"^Ulogseq____",369,536870932]],[logseq____"^15logseq____",[375,logseq____"^17logseq____",true,536870932]],[logseq____"^15logseq____",[375,logseq____"^;logseq____",logseq____"~u6531c8ef-a825-494c-a2ce-6c860dbd406blogseq____",536870932]],[logseq____"^15logseq____",[377,logseq____"^Qlogseq____",logseq____"# Bedeutunglogseq____",536870933]],[logseq____"^15logseq____",[377,logseq____"^Ologseq____",logseq____"^16logseq____",536870933]],[logseq____"^15logseq____",[377,logseq____"^Flogseq____",275,536870933]],[logseq____"^15logseq____",[377,logseq____"^Xlogseq____",275,536870933]],[logseq____"^15logseq____",[377,logseq____"^Vlogseq____",275,536870933]],[logseq____"^15logseq____",[377,logseq____"^Ulogseq____",275,536870933]],[logseq____"^15logseq____",[377,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^1Qlogseq____",1],536870933]],[logseq____"^15logseq____",[377,logseq____"^Jlogseq____",[],536870933]],[logseq____"^15logseq____",[377,logseq____"^17logseq____",false,536870933]],[logseq____"^15logseq____",[377,logseq____"^;logseq____",logseq____"~u6531c8ef-7105-495d-919c-8f276c36189clogseq____",536870933]],[logseq____"^15logseq____",[378,logseq____"^Qlogseq____",logseq____"w.z.b.w. = \\logseq____"was zu beweisen war\\logseq____"logseq____",536870933]],[logseq____"^15logseq____",[378,logseq____"^Ologseq____",logseq____"^16logseq____",536870933]],[logseq____"^15logseq____",[378,logseq____"^Flogseq____",377,536870933]],[logseq____"^15logseq____",[378,logseq____"^Xlogseq____",275,536870933]],[logseq____"^15logseq____",[378,logseq____"^Vlogseq____",377,536870933]],[logseq____"^15logseq____",[378,logseq____"^Ulogseq____",275,536870933]],[logseq____"^15logseq____",[378,logseq____"^17logseq____",true,536870933]],[logseq____"^15logseq____",[378,logseq____"^;logseq____",logseq____"~u6531c8ef-2313-43de-a9b5-d060afafcf00logseq____",536870933]],[logseq____"^15logseq____",[379,logseq____"^Qlogseq____",logseq____"Signalisiert das Ende eines Beweiseslogseq____",536870933]],[logseq____"^15logseq____",[379,logseq____"^Ologseq____",logseq____"^16logseq____",536870933]],[logseq____"^15logseq____",[379,logseq____"^Flogseq____",378,536870933]],[logseq____"^15logseq____",[379,logseq____"^Xlogseq____",275,536870933]],[logseq____"^15logseq____",[379,logseq____"^Vlogseq____",377,536870933]],[logseq____"^15logseq____",[379,logseq____"^Ulogseq____",275,536870933]],[logseq____"^15logseq____",[379,logseq____"^17logseq____",true,536870933]],[logseq____"^15logseq____",[379,logseq____"^;logseq____",logseq____"~u6531c8ef-6cc1-4101-a306-6b5d4f0da3aflogseq____",536870933]],[logseq____"^15logseq____",[380,logseq____"^Qlogseq____",logseq____"siehe [[Q.E.D.]]logseq____",536870933]],[logseq____"^15logseq____",[380,logseq____"^Ologseq____",logseq____"^16logseq____",536870933]],[logseq____"^15logseq____",[380,logseq____"^Flogseq____",379,536870933]],[logseq____"^15logseq____",[380,logseq____"^Xlogseq____",275,536870933]],[logseq____"^15logseq____",[380,logseq____"^Vlogseq____",377,536870933]],[logseq____"^15logseq____",[380,logseq____"^Ulogseq____",272,536870933]],[logseq____"^15logseq____",[380,logseq____"^Ulogseq____",275,536870933]],[logseq____"^15logseq____",[380,logseq____"^Hlogseq____",272,536870933]],[logseq____"^15logseq____",[380,logseq____"^17logseq____",true,536870933]],[logseq____"^15logseq____",[380,logseq____"^;logseq____",logseq____"~u6531c8ef-244a-4472-aa30-49d58326fb00logseq____",536870933]],[logseq____"^15logseq____",[382,logseq____"^Klogseq____",1697761519238,536870934]],[logseq____"^15logseq____",[382,logseq____"^@logseq____",false,536870934]],[logseq____"^15logseq____",[382,logseq____"^Ylogseq____",logseq____"readmelogseq____",536870934]],[logseq____"^15logseq____",[382,logseq____"^11logseq____",logseq____"READMElogseq____",536870934]],[logseq____"^15logseq____",[382,logseq____"^Blogseq____",1697761519238,536870934]],[logseq____"^15logseq____",[382,logseq____"^;logseq____",logseq____"~u6531c8ef-87c7-46f4-b449-fd768bebe49clogseq____",536870934]],[logseq____"^15logseq____",[383,logseq____"^Qlogseq____",logseq____"Branch for autogenerated assets that are accessed through through raw.githubusercontents.com\\nlogseq____",536870934]],[logseq____"^15logseq____",[383,logseq____"^Ologseq____",logseq____"^16logseq____",536870934]],[logseq____"^15logseq____",[383,logseq____"^Flogseq____",382,536870934]],[logseq____"^15logseq____",[383,logseq____"^Xlogseq____",382,536870934]],[logseq____"^15logseq____",[383,logseq____"^Vlogseq____",382,536870934]],[logseq____"^15logseq____",[383,logseq____"^Ulogseq____",382,536870934]],[logseq____"^15logseq____",[383,logseq____"^:logseq____",true,536870934]],[logseq____"^15logseq____",[383,logseq____"^Jlogseq____",[],536870934]],[logseq____"^15logseq____",[383,logseq____"^17logseq____",true,536870934]],[logseq____"^15logseq____",[383,logseq____"^;logseq____",logseq____"~u6531c8ef-19de-4f49-84d8-a56c9370ba61logseq____",536870934]]]]]]"</script>
|
|
<script>window.logseq_state="{:ui/theme \"dark\", :config {\"local\" {:shortcuts {}, :default-templates {:journals \"\"}, :feature/enable-journals? false, :query/views {:pprint (fn [r] [:pre.code (pprint r)])}, :editor/preferred-pasting-file? true, :macros {}, :shortcut/doc-mode-enter-for-new-block? false, :favorites [], :ui/show-empty-bullets? false, :file/name-format :triple-lowbar, :preferred-workflow :now, :publishing/all-pages-public? true, :ref/default-open-blocks-level 2, :feature/enable-block-timestamps? false, :start-of-week 6, :ref/linked-references-collapsed-threshold 50, :outliner/block-title-collapse-enabled? false, :commands [], :ui/show-full-blocks? false, :meta/version 1, :hidden [], :default-queries {:journals [{:title \"🔨 NOW\", :query [:find (pull ?h [*]) :in $ ?start ?today :where [?h :block/marker ?marker] [(contains? #{\"NOW\" \"DOING\"} ?marker)] [?h :block/page ?p] [?p :block/journal? true] [?p :block/journal-day ?d] [(>= ?d ?start)] [(<= ?d ?today)]], :inputs [:14d :today], :result-transform (fn [result] (sort-by (fn [h] (get h :block/priority \"Z\")) result)), :group-by-page? false, :collapsed? false} {:title \"📅 NEXT\", :query [:find (pull ?h [*]) :in $ ?start ?next :where [?h :block/marker ?marker] [(contains? #{\"NOW\" \"LATER\" \"TODO\"} ?marker)] [?h :block/page ?p] [?p :block/journal? true] [?p :block/journal-day ?d] [(> ?d ?start)] [(< ?d ?next)]], :inputs [:today :7d-after], :group-by-page? false, :collapsed? false}]}, :ui/auto-expand-block-refs? true, :ui/enable-tooltip? true, :query/result-transforms {:sort-by-priority (fn [result] (sort-by (fn [h] (get h :block/priority \"Z\")) result))}, :property-pages/enabled? true, :block/content-max-length 10000, :ui/show-command-doc? true, :feature/enable-search-remove-accents? true, :default-home {:page \"Vorlesungs Notizen\"}}}}"</script>
|
|
<script type="text/javascript">// Single Page Apps for GitHub Pages
|
|
// https://github.com/rafgraph/spa-github-pages
|
|
// Copyright (c) 2016 Rafael Pedicini, licensed under the MIT License
|
|
// ----------------------------------------------------------------------
|
|
// This script checks to see if a redirect is present in the query string
|
|
// and converts it back into the correct url and adds it to the
|
|
// browser's history using window.history.replaceState(...),
|
|
// which won't cause the browser to attempt to load the new url.
|
|
// When the single page app is loaded further down in this file,
|
|
// the correct url will be waiting in the browser's history for
|
|
// the single page app to route accordingly.
|
|
(function(l) {
|
|
if (l.search) {
|
|
var q = {};
|
|
l.search.slice(1).split('&').forEach(function(v) {
|
|
var a = v.split('=');
|
|
q[a[0]] = a.slice(1).join('=').replace(/~and~/g, '&');
|
|
});
|
|
if (q.p !== undefined) {
|
|
window.history.replaceState(null, null,
|
|
l.pathname.slice(0, -1) + (q.p || '') +
|
|
(q.q ? ('?' + q.q) : '') +
|
|
l.hash
|
|
);
|
|
}
|
|
}
|
|
}(window.location))</script>
|
|
<script src="static/js/main.js"></script>
|
|
<script src="static/js/interact.min.js"></script>
|
|
<script src="static/js/highlight.min.js"></script>
|
|
<script src="static/js/katex.min.js"></script>
|
|
<script src="static/js/html2canvas.min.js"></script>
|
|
<script src="static/js/code-editor.js"></script>
|
|
<script src="static/js/custom.js"></script>
|
|
</body>
|