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Screenshots\\n\\n![image](https://github.com/tenset-security/logseq-tenset-theme/assets/65830545/cc836c34-edb5-4112-bb14-c95a8b09212c)\\n![image](https://github.com/tenset-security/logseq-tenset-theme/assets/65830545/82f69f52-de13-4d59-b31f-e94396ecce6b)logseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[25,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[25,logseq____&quot;^Flogseq____&quot;,24,536870918]],[logseq____&quot;^15logseq____&quot;,[25,logseq____&quot;^Xlogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[25,logseq____&quot;^Vlogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[25,logseq____&quot;^Ulogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[25,logseq____&quot;^?logseq____&quot;,[logseq____&quot;^ logseq____&quot;,logseq____&quot;~:headinglogseq____&quot;,2],536870918]],[logseq____&quot;^15logseq____&quot;,[25,logseq____&quot;^Jlogseq____&quot;,[],536870918]],[logseq____&quot;^15logseq____&quot;,[25,logseq____&quot;^17logseq____&quot;,false,536870918]],[logseq____&quot;^15logseq____&quot;,[25,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639e-b2ee-4e45-895b-4318a20b7c49logseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[26,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;## Installlogseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[26,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[26,logseq____&quot;^Flogseq____&quot;,25,536870918]],[logseq____&quot;^15logseq____&quot;,[26,logseq____&quot;^Xlogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[26,logseq____&quot;^Vlogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[26,logseq____&quot;^Ulogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[26,logseq____&quot;^?logseq____&quot;,[logseq____&quot;^ logseq____&quot;,logseq____&quot;^18logseq____&quot;,2],536870918]],[logseq____&quot;^15logseq____&quot;,[26,logseq____&quot;^Jlogseq____&quot;,[],536870918]],[logseq____&quot;^15logseq____&quot;,[26,logseq____&quot;^17logseq____&quot;,false,536870918]],[logseq____&quot;^15logseq____&quot;,[26,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639e-183c-4a1d-bf1c-a39e306d88a1logseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[27,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;### Official marketplacelogseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[27,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[27,logseq____&quot;^Flogseq____&quot;,26,536870918]],[logseq____&quot;^15logseq____&quot;,[27,logseq____&quot;^Xlogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[27,logseq____&quot;^Vlogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[27,logseq____&quot;^Ulogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[27,logseq____&quot;^?logseq____&quot;,[logseq____&quot;^ logseq____&quot;,logseq____&quot;^18logseq____&quot;,3],536870918]],[logseq____&quot;^15logseq____&quot;,[27,logseq____&quot;^Jlogseq____&quot;,[],536870918]],[logseq____&quot;^15logseq____&quot;,[27,logseq____&quot;^17logseq____&quot;,false,536870918]],[logseq____&quot;^15logseq____&quot;,[27,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639e-7df6-44a5-bc3e-eb375e75d073logseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[28,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;Open Logseq → Plugins → Market Place, install **Tenset Security Theme** pluginlogseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[28,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[28,logseq____&quot;^Flogseq____&quot;,27,536870918]],[logseq____&quot;^15logseq____&quot;,[28,logseq____&quot;^Xlogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[28,logseq____&quot;^Vlogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[28,logseq____&quot;^Ulogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[28,logseq____&quot;^17logseq____&quot;,true,536870918]],[logseq____&quot;^15logseq____&quot;,[28,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639e-bcf2-4e04-8266-40ab9e1b1b0clogseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[29,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;Open Logseq → Themes, choose your themelogseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[29,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[29,logseq____&quot;^Flogseq____&quot;,28,536870918]],[logseq____&quot;^15logseq____&quot;,[29,logseq____&quot;^Xlogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[29,logseq____&quot;^Vlogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[29,logseq____&quot;^Ulogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[29,logseq____&quot;^17logseq____&quot;,true,536870918]],[logseq____&quot;^15logseq____&quot;,[29,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639e-f766-4596-9285-565230406233logseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[30,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;### Manual\\n\\n1. Enable Logseq developer mode (Settings → Advanced → Developer mode)\\n2. Clone this repository\\n3. Logseq plugins → Load unpacked plugin → select the folder with cloned repository\\n4. Logseq → Themes → Tensetlogseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[30,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[30,logseq____&quot;^Flogseq____&quot;,29,536870918]],[logseq____&quot;^15logseq____&quot;,[30,logseq____&quot;^Xlogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[30,logseq____&quot;^Vlogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[30,logseq____&quot;^Ulogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[30,logseq____&quot;^?logseq____&quot;,[logseq____&quot;^ logseq____&quot;,logseq____&quot;^18logseq____&quot;,3],536870918]],[logseq____&quot;^15logseq____&quot;,[30,logseq____&quot;^Jlogseq____&quot;,[],536870918]],[logseq____&quot;^15logseq____&quot;,[30,logseq____&quot;^17logseq____&quot;,false,536870918]],[logseq____&quot;^15logseq____&quot;,[30,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639e-8ebb-47a6-aaec-70b24e7bd7bdlogseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[31,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;## How to build\\n\\n1. Install node v18.15.0. If you use `nvm`, you can also run `nvm use` inside the project directory.\\n\\n2. Install dependencies with `npm i`\\n\\n3. Build with `npm run build`logseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[31,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[31,logseq____&quot;^Flogseq____&quot;,30,536870918]],[logseq____&quot;^15logseq____&quot;,[31,logseq____&quot;^Xlogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[31,logseq____&quot;^Vlogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[31,logseq____&quot;^Ulogseq____&quot;,23,536870918]],[logseq____&quot;^15logseq____&quot;,[31,logseq____&quot;^?logseq____&quot;,[logseq____&quot;^ logseq____&quot;,logseq____&quot;^18logseq____&quot;,2],536870918]],[logseq____&quot;^15logseq____&quot;,[31,logseq____&quot;^Jlogseq____&quot;,[],536870918]],[logseq____&quot;^15logseq____&quot;,[31,logseq____&quot;^17logseq____&quot;,false,536870918]],[logseq____&quot;^15logseq____&quot;,[31,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639e-98b0-4817-bf7d-8266e3e6faa1logseq____&quot;,536870918]],[logseq____&quot;^15logseq____&quot;,[34,logseq____&quot;^Klogseq____&quot;,1696949151186,536870920]],[logseq____&quot;^15logseq____&quot;,[34,logseq____&quot;^@logseq____&quot;,false,536870920]],[logseq____&quot;^15logseq____&quot;,[34,logseq____&quot;^Ylogseq____&quot;,logseq____&quot;potenzenlogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[34,logseq____&quot;^11logseq____&quot;,logseq____&quot;Potenzenlogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[34,logseq____&quot;^Blogseq____&quot;,1696949151186,536870920]],[logseq____&quot;^15logseq____&quot;,[34,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-c0bd-4b19-983a-f05c7ce1e593logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[35,logseq____&quot;^Klogseq____&quot;,1696949151183,536870920]],[logseq____&quot;^15logseq____&quot;,[35,logseq____&quot;^@logseq____&quot;,false,536870920]],[logseq____&quot;^15logseq____&quot;,[35,logseq____&quot;^Ylogseq____&quot;,logseq____&quot;pascalsches dreiecklogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[35,logseq____&quot;^11logseq____&quot;,logseq____&quot;Pascalsches Dreiecklogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[35,logseq____&quot;^Blogseq____&quot;,1696949151183,536870920]],[logseq____&quot;^15logseq____&quot;,[35,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-afa1-42fa-8d6f-5ab84e636d1clogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[36,logseq____&quot;^Klogseq____&quot;,1696949151174,536870920]],[logseq____&quot;^15logseq____&quot;,[36,logseq____&quot;^@logseq____&quot;,false,536870920]],[logseq____&quot;^15logseq____&quot;,[36,logseq____&quot;^Ylogseq____&quot;,logseq____&quot;logarithmenlogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[36,logseq____&quot;^11logseq____&quot;,logseq____&quot;Logarithmenlogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[36,logseq____&quot;^Blogseq____&quot;,1696949151174,536870920]],[logseq____&quot;^15logseq____&quot;,[36,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-632c-4dbd-a835-8b0b26cd9d92logseq____&quot;,536870924]],[logseq____&quot;^15logseq____&quot;,[37,logseq____&quot;^Klogseq____&quot;,1696949151184,536870920]],[logseq____&quot;^15logseq____&quot;,[37,logseq____&quot;^@logseq____&quot;,false,536870920]],[logseq____&quot;^15logseq____&quot;,[37,logseq____&quot;^Ylogseq____&quot;,logseq____&quot;binomialkoeffizientlogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[37,logseq____&quot;^11logseq____&quot;,logseq____&quot;Binomialkoeffizientlogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[37,logseq____&quot;^Blogseq____&quot;,1696949151184,536870920]],[logseq____&quot;^15logseq____&quot;,[37,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-d4a7-4dc4-b024-431e2abc469elogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[38,logseq____&quot;^Klogseq____&quot;,1696949151182,536870920]],[logseq____&quot;^15logseq____&quot;,[38,logseq____&quot;^@logseq____&quot;,false,536870920]],[logseq____&quot;^15logseq____&quot;,[38,logseq____&quot;^Ylogseq____&quot;,logseq____&quot;binomische formelnlogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[38,logseq____&quot;^11logseq____&quot;,logseq____&quot;Binomische Formelnlogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[38,logseq____&quot;^Blogseq____&quot;,1696949151182,536870920]],[logseq____&quot;^15logseq____&quot;,[38,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-187d-4bca-a7d7-3c8f636ab78alogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[39,logseq____&quot;^Klogseq____&quot;,1696949151176,536870920]],[logseq____&quot;^15logseq____&quot;,[39,logseq____&quot;^@logseq____&quot;,false,536870920]],[logseq____&quot;^15logseq____&quot;,[39,logseq____&quot;^Ylogseq____&quot;,logseq____&quot;trigonometrielogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[39,logseq____&quot;^11logseq____&quot;,logseq____&quot;Trigonometrielogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[39,logseq____&quot;^Blogseq____&quot;,1696949151176,536870920]],[logseq____&quot;^15logseq____&quot;,[39,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-3731-4847-95ad-e5b9c99b77belogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[40,logseq____&quot;^Klogseq____&quot;,1696949151187,536870920]],[logseq____&quot;^15logseq____&quot;,[40,logseq____&quot;^@logseq____&quot;,false,536870920]],[logseq____&quot;^15logseq____&quot;,[40,logseq____&quot;^Ylogseq____&quot;,logseq____&quot;wurzelnlogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[40,logseq____&quot;^11logseq____&quot;,logseq____&quot;Wurzelnlogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[40,logseq____&quot;^Blogseq____&quot;,1696949151187,536870920]],[logseq____&quot;^15logseq____&quot;,[40,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-b629-4b0f-bbf1-25ba23071b25logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[41,logseq____&quot;^Klogseq____&quot;,1696949151185,536870920]],[logseq____&quot;^15logseq____&quot;,[41,logseq____&quot;^@logseq____&quot;,false,536870920]],[logseq____&quot;^15logseq____&quot;,[41,logseq____&quot;^Ylogseq____&quot;,logseq____&quot;pascalsche dreiecklogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[41,logseq____&quot;^11logseq____&quot;,logseq____&quot;Pascalsche Dreiecklogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[41,logseq____&quot;^Blogseq____&quot;,1696949151185,536870920]],[logseq____&quot;^15logseq____&quot;,[41,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-14ee-4a8c-9460-1a5780c671ealogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[42,logseq____&quot;^Klogseq____&quot;,1696949151187,536870920]],[logseq____&quot;^15logseq____&quot;,[42,logseq____&quot;^@logseq____&quot;,false,536870920]],[logseq____&quot;^15logseq____&quot;,[42,logseq____&quot;^Ylogseq____&quot;,logseq____&quot;auffrischung mathe 1logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[42,logseq____&quot;^11logseq____&quot;,logseq____&quot;Auffrischung Mathe 1logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[42,logseq____&quot;^Blogseq____&quot;,1696949151187,536870920]],[logseq____&quot;^15logseq____&quot;,[42,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-d9ca-4801-91d8-aebe62f41c04logseq____&quot;,536870921]],[logseq____&quot;^15logseq____&quot;,[43,logseq____&quot;^Klogseq____&quot;,1696949151188,536870920]],[logseq____&quot;^15logseq____&quot;,[43,logseq____&quot;^@logseq____&quot;,false,536870920]],[logseq____&quot;^15logseq____&quot;,[43,logseq____&quot;^Ylogseq____&quot;,logseq____&quot;fixmelogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[43,logseq____&quot;^11logseq____&quot;,logseq____&quot;FIXMElogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[43,logseq____&quot;^Blogseq____&quot;,1696949151188,536870920]],[logseq____&quot;^15logseq____&quot;,[43,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-ea2a-4471-85a3-9b4e27716f5blogseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[44,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;$\\\\text{Welche Gleichungen sind richtig?}$\\n\\\\begin{align}\\n\\\\tan x logseq____&amp;= \\\\frac{\\\\sin x}{\\\\cos x} logseq____&amp;, \\\\cos x \\\\ne 0\\\\\\\\\\n\\\\sin^{-2}x-\\\\cos^2xlogseq____&amp;=1logseq____&amp;,f\\\\\\\\\\n\\\\sin x = \\\\cos x logseq____&amp;= 1 logseq____&amp;, f\\\\\\\\\\n\\\\sin^{-2}x+cos^2ylogseq____&amp;=1logseq____&amp;,r\\\\\\\\\\n1+tan^2xlogseq____&amp;=\\\\frac1{\\\\cos^2x}logseq____&amp;,\\\\cos x\\\\ne0\\\\\\\\\\n\\\\end{align}logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[44,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[44,logseq____&quot;^Flogseq____&quot;,61,536870920]],[logseq____&quot;^15logseq____&quot;,[44,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[44,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[44,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[44,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[44,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-4420-4877-a09b-2dd9dcd40cc3logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[45,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;#FIXME gleichung (50) hat angeblich noch ne Zeile $=x^0+3ylogseq____&gt;0$ welche keinen Sinn ergibtlogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[45,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[45,logseq____&quot;^Flogseq____&quot;,78,536870920]],[logseq____&quot;^15logseq____&quot;,[45,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[45,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[45,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[45,logseq____&quot;^Ulogseq____&quot;,43,536870920]],[logseq____&quot;^15logseq____&quot;,[45,logseq____&quot;^Hlogseq____&quot;,43,536870920]],[logseq____&quot;^15logseq____&quot;,[45,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[45,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-bfb0-4cfa-a512-492466150abdlogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[46,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;## [[Pascalsches Dreieck]]logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[46,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[46,logseq____&quot;^Flogseq____&quot;,51,536870920]],[logseq____&quot;^15logseq____&quot;,[46,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[46,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[46,logseq____&quot;^Ulogseq____&quot;,35,536870920]],[logseq____&quot;^15logseq____&quot;,[46,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[46,logseq____&quot;^?logseq____&quot;,[logseq____&quot;^ logseq____&quot;,logseq____&quot;^18logseq____&quot;,2],536870920]],[logseq____&quot;^15logseq____&quot;,[46,logseq____&quot;^Jlogseq____&quot;,[],536870920]],[logseq____&quot;^15logseq____&quot;,[46,logseq____&quot;^Hlogseq____&quot;,35,536870920]],[logseq____&quot;^15logseq____&quot;,[46,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[46,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-f1f8-419b-940d-25b576cc4346logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[47,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;$\\\\text{Alte Schreibweise}$\\n\\\\begin{align}\\n\\\\text{cosa }logseq____&amp;\\\\text{plus }logseq____&amp;\\\\text{cubus }logseq____&amp;\\\\text{acq }logseq____&amp;6\\\\\\\\\\nxlogseq____&amp;+logseq____&amp;x^3logseq____&amp;=logseq____&amp;6\\n\\\\end{align}logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[47,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[47,logseq____&quot;^Flogseq____&quot;,50,536870920]],[logseq____&quot;^15logseq____&quot;,[47,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[47,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[47,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[47,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[47,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-753c-49f9-a9d5-11a28f1cb6b3logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[48,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;$\\\\text{Welche Gleichungen sind richtig?}$\\n$\\\\text{Wenn } 10^x=y \\\\text{, dann}$\\n\\\\begin{align}\\nxlogseq____&amp;=\\\\lg y logseq____&amp; ,r\\\\\\\\\\nxlogseq____&amp;=\\\\log_y10logseq____&amp;,f\\\\\\\\\\nxlogseq____&amp;=\\\\log_{10}ylogseq____&amp;,r \\\\\\\\\\n\\\\ln 4 - \\\\ln 2 logseq____&amp;= \\\\ln 2 logseq____&amp;, r \\\\\\\\\\n\\\\ln 4 - \\\\ln 2 logseq____&amp;= \\\\ln 8 logseq____&amp;, f \\\\\\\\\\n\\\\ln 4 + \\\\ln 2 logseq____&amp;= \\\\ln 8 logseq____&amp;, r \\\\\\\\\\n\\\\end{align}logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[48,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[48,logseq____&quot;^Flogseq____&quot;,56,536870920]],[logseq____&quot;^15logseq____&quot;,[48,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[48,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[48,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[48,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[48,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-76d7-4e43-b7b9-748e7e7ab06flogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[49,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;$\\\\text{Die Lösung von } x^n-a=0 \\\\text{ ist } x=\\\\sqrt[n]a$ #FIXME ich glaube hier fehlt logseq____&gt;0 constraintlogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[49,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[49,logseq____&quot;^Flogseq____&quot;,57,536870920]],[logseq____&quot;^15logseq____&quot;,[49,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[49,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[49,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[49,logseq____&quot;^Ulogseq____&quot;,43,536870920]],[logseq____&quot;^15logseq____&quot;,[49,logseq____&quot;^Hlogseq____&quot;,43,536870920]],[logseq____&quot;^15logseq____&quot;,[49,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[49,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-9235-4faa-b410-cc847f04d8fflogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[50,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;$\\\\text{Beispiele}$\\n\\\\begin{align}\\n(a+b)^3(a^2+b^2)^3(a-b)^3logseq____&amp;=(a^2+b^2)^3\\\\left((a+b)(a-b)\\\\right)^3\\\\notag\\\\\\\\\\nlogseq____&amp;=(a^2+b^2)^3(a^2-b^2)^3\\\\notag\\\\\\\\\\nlogseq____&amp;=\\\\left((a^2+b^2)(a^2-b^2)\\\\right)^3\\\\notag\\\\\\\\\\nlogseq____&amp;=(a^4-b^4)^3\\\\\\\\\\n\\\\frac{a-b}{(a+b)^{-1}}logseq____&amp;=(a-b)(a+b)\\\\notag\\\\\\\\\\nlogseq____&amp;=a^2-b^2\\n\\\\end{align}logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[50,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[50,logseq____&quot;^Flogseq____&quot;,54,536870920]],[logseq____&quot;^15logseq____&quot;,[50,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[50,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[50,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[50,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[50,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-374b-49f8-9104-2fc304171874logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[51,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;$\\\\text{Beispiel für die 3. Binomische Formel}$\\n\\\\begin{align}\\n\\\\frac{\\\\frac1{a-b}+\\\\frac1{a+b}}{\\\\frac1{a-b}-\\\\frac1{a+b}}\\nlogseq____&amp;=\\\\frac{\\\\frac{a+b+a-b}{(a+b)*(a-b)}}{\\\\frac{a+b-(a-b)}{(a+b)*(a-b)}}\\nlogseq____&amp;=\\\\frac{a+b+a-b}{a+b-a+b}\\nlogseq____&amp;=\\\\frac{2a}{2b}\\nlogseq____&amp;=\\\\frac ab\\n\\\\end{align}logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[51,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[51,logseq____&quot;^Flogseq____&quot;,63,536870920]],[logseq____&quot;^15logseq____&quot;,[51,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[51,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[51,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[51,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[51,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-c1cc-4caa-a46d-f2375d69f7d1logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[52,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;$\\\\text{Beispiele}$\\n\\\\begin{align}\\n(2x+y)^4logseq____&amp;=(2x)^4+4*(2x)^3y+6*(2x)^2y^2+4*2xy^3+y^4\\\\notag\\\\\\\\\\nlogseq____&amp;=16x^4+32x^3y+24x^2y^2+8xy^3+y^4\\\\\\\\\\n(1+\\\\sqrt x)^5*(1-\\\\sqrt x)^5logseq____&amp;=2+20x+40x^2\\\\\\\\\\n\\\\end{align}logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[52,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[52,logseq____&quot;^Flogseq____&quot;,77,536870920]],[logseq____&quot;^15logseq____&quot;,[52,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[52,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[52,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[52,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[52,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-d409-4c9d-b2a8-3267ccbd7fe9logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[53,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;$\\\\text{Für } x=\\\\frac25 \\\\text{ und } y=\\\\frac37 \\\\text{ ist }\\\\frac xy$\\n\\\\begin{align}\\n\\\\frac xy = \\\\frac{\\\\frac25}{\\\\frac37} = \\\\frac{2*7}{3*5}=\\\\frac{14}{15}\\n\\\\end{align}logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[53,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[53,logseq____&quot;^Flogseq____&quot;,74,536870920]],[logseq____&quot;^15logseq____&quot;,[53,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[53,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[53,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[53,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[53,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-345b-472d-acb8-9a9d3947e038logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[54,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;\\\\begin{align}\\na^nlogseq____&amp;=\\\\underbrace{a*a*\\\\cdots*n}_n logseq____&amp; a,blogseq____&gt;0\\\\\\\\\\na^2b^2logseq____&amp;=(ab)^n\\\\\\\\\\n\\\\frac{a^n}{b^n}logseq____&amp;=\\\\left(\\\\frac 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Falle:}$\\n\\\\begin{align}\\n\\\\left((-1)^2\\\\right)^\\\\frac12logseq____&amp;=(-1)^\\\\frac22logseq____&amp;=(-1)^1logseq____&amp;=-1\\\\\\\\\\n\\\\left((-1)^2\\\\right)^\\\\frac12logseq____&amp;=1^\\\\frac12logseq____&amp;logseq____&amp;=1\\\\\\\\\\n\\\\end{align}logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[55,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[55,logseq____&quot;^Flogseq____&quot;,66,536870920]],[logseq____&quot;^15logseq____&quot;,[55,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[55,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[55,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[55,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[55,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-c37f-46c7-a19c-67ca96ebec8clogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[56,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;# Wissensabgleich [[Logarithmen]]logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[56,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[56,logseq____&quot;^Flogseq____&quot;,70,536870920]],[logseq____&quot;^15logseq____&quot;,[56,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[56,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[56,logseq____&quot;^Ulogseq____&quot;,36,536870920]],[logseq____&quot;^15logseq____&quot;,[56,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[56,logseq____&quot;^?logseq____&quot;,[logseq____&quot;^ 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[[Wurzeln]]logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[57,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[57,logseq____&quot;^Flogseq____&quot;,76,536870920]],[logseq____&quot;^15logseq____&quot;,[57,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[57,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[57,logseq____&quot;^Ulogseq____&quot;,40,536870920]],[logseq____&quot;^15logseq____&quot;,[57,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[57,logseq____&quot;^?logseq____&quot;,[logseq____&quot;^ 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3}\\n\\\\\\\\\\n\\\\cdots\\n\\\\end{array}logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[58,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[58,logseq____&quot;^Flogseq____&quot;,69,536870920]],[logseq____&quot;^15logseq____&quot;,[58,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[58,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[58,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[58,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[58,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-f0fe-474a-9b93-1586d0126fe7logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[59,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;# [[Binomische Formeln]]logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[59,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[59,logseq____&quot;^Flogseq____&quot;,64,536870920]],[logseq____&quot;^15logseq____&quot;,[59,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[59,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[59,logseq____&quot;^Ulogseq____&quot;,38,536870920]],[logseq____&quot;^15logseq____&quot;,[59,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[59,logseq____&quot;^?logseq____&quot;,[logseq____&quot;^ 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a}\\\\\\\\\\n\\\\end{align}logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[60,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[60,logseq____&quot;^Flogseq____&quot;,48,536870920]],[logseq____&quot;^15logseq____&quot;,[60,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[60,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[60,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[60,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[60,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-5170-4c99-94d3-658ca1977827logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[61,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;$\\\\frac12 \\\\sqrt2, \\\\frac12, \\\\frac12\\\\sqrt3 \\\\text{ sind werte von }\\\\sin x$\\n\\\\begin{align}\\n\\\\sin 30\\\\degreelogseq____&amp;=\\\\frac12\\\\\\\\\\n\\\\sin 45\\\\degree logseq____&amp;= \\\\frac12\\\\sqrt2 \\\\\\\\\\n\\\\sin 60\\\\degree logseq____&amp;= \\\\frac12 \\\\sqrt3 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[[Potenzen]]logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[62,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[62,logseq____&quot;^Flogseq____&quot;,58,536870920]],[logseq____&quot;^15logseq____&quot;,[62,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[62,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[62,logseq____&quot;^Ulogseq____&quot;,34,536870920]],[logseq____&quot;^15logseq____&quot;,[62,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[62,logseq____&quot;^?logseq____&quot;,[logseq____&quot;^ logseq____&quot;,logseq____&quot;^18logseq____&quot;,1],536870920]],[logseq____&quot;^15logseq____&quot;,[62,logseq____&quot;^Jlogseq____&quot;,[],536870920]],[logseq____&quot;^15logseq____&quot;,[62,logseq____&quot;^Hlogseq____&quot;,34,536870920]],[logseq____&quot;^15logseq____&quot;,[62,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[62,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-996a-49d5-a264-5175ccfef385logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[63,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;$\\\\text{Allgemein}$\\n\\\\begin{align}\\n(a+b)^2logseq____&amp;=a^2+2ab+b^2logseq____&amp;,\\\\text{ 1. Binomische Formel}\\\\\\\\\\n(a-b)^2logseq____&amp;=a^2-2ab+b^2logseq____&amp;,\\\\text{ 2. Binomische Formel}\\\\\\\\\\n(a+b)(a-b)logseq____&amp;=a^2-b^2logseq____&amp;,\\\\text{ 3. Binomische Formel}\\\\\\\\\\n\\\\end{align}logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[63,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[63,logseq____&quot;^Flogseq____&quot;,59,536870920]],[logseq____&quot;^15logseq____&quot;,[63,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[63,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[63,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[63,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[63,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-8b27-4b85-af1c-021d988c7570logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[64,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;#FIXME $\\\\sin^{-2}x+cos^2y=1,r$ ist falschlogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[64,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[64,logseq____&quot;^Flogseq____&quot;,44,536870920]],[logseq____&quot;^15logseq____&quot;,[64,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[64,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[64,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[64,logseq____&quot;^Ulogseq____&quot;,43,536870920]],[logseq____&quot;^15logseq____&quot;,[64,logseq____&quot;^Hlogseq____&quot;,43,536870920]],[logseq____&quot;^15logseq____&quot;,[64,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[64,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-19ed-4cd2-88f7-1d6113c78429logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[65,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;#FIXME $(1+\\\\sqrt x)^5*(1-\\\\sqrt x)^5=2+20x+40x^2$ ist Falschlogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[65,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[65,logseq____&quot;^Flogseq____&quot;,52,536870920]],[logseq____&quot;^15logseq____&quot;,[65,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[65,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[65,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[65,logseq____&quot;^Ulogseq____&quot;,43,536870920]],[logseq____&quot;^15logseq____&quot;,[65,logseq____&quot;^Hlogseq____&quot;,43,536870920]],[logseq____&quot;^15logseq____&quot;,[65,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[65,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-d1e2-42e6-bf95-f2d360ea7eaclogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[66,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;$\\\\text{Welche Gleichungen sind richtig?}$\\n$\\\\text{Wenn }alogseq____&gt;0\\\\text{, dann}$\\n\\\\begin{align}\\n\\\\frac{a^2}{\\\\sqrt{a}}logseq____&amp;=a\\\\sqrt{a}logseq____&amp;,r\\\\\\\\\\n\\\\frac{a^2}{\\\\sqrt{a}}logseq____&amp;=a^2-\\\\sqrt{a}logseq____&amp;,f\\\\\\\\\\n\\\\frac{a^2}{\\\\sqrt{a}}logseq____&amp;=\\\\sqrt{a^3}logseq____&amp;,r\\\\\\\\\\n\\\\frac{a^2}{\\\\sqrt{a}}logseq____&amp;=a^{\\\\frac32}logseq____&amp;,r\\\\\\\\\\n\\\\end{align}logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[66,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[66,logseq____&quot;^Flogseq____&quot;,75,536870920]],[logseq____&quot;^15logseq____&quot;,[66,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[66,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[66,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[66,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[66,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-eeab-4d40-9a6a-32dba5762d19logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[67,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;# Wissensabgleich [[Potenzen]]logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[67,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[67,logseq____&quot;^Flogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[67,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[67,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[67,logseq____&quot;^Ulogseq____&quot;,34,536870920]],[logseq____&quot;^15logseq____&quot;,[67,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[67,logseq____&quot;^?logseq____&quot;,[logseq____&quot;^ logseq____&quot;,logseq____&quot;^18logseq____&quot;,1],536870920]],[logseq____&quot;^15logseq____&quot;,[67,logseq____&quot;^Jlogseq____&quot;,[],536870920]],[logseq____&quot;^15logseq____&quot;,[67,logseq____&quot;^Hlogseq____&quot;,34,536870920]],[logseq____&quot;^15logseq____&quot;,[67,logseq____&quot;^17logseq____&quot;,false,536870920]],[logseq____&quot;^15logseq____&quot;,[67,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-d0c8-43f7-8cc9-cef1a1f4b745logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[68,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;# Wissensabgleich [[Trigonometrie]]logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[68,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[68,logseq____&quot;^Flogseq____&quot;,53,536870920]],[logseq____&quot;^15logseq____&quot;,[68,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[68,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[68,logseq____&quot;^Ulogseq____&quot;,39,536870920]],[logseq____&quot;^15logseq____&quot;,[68,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[68,logseq____&quot;^?logseq____&quot;,[logseq____&quot;^ logseq____&quot;,logseq____&quot;^18logseq____&quot;,1],536870920]],[logseq____&quot;^15logseq____&quot;,[68,logseq____&quot;^Jlogseq____&quot;,[],536870920]],[logseq____&quot;^15logseq____&quot;,[68,logseq____&quot;^Hlogseq____&quot;,39,536870920]],[logseq____&quot;^15logseq____&quot;,[68,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[68,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-ba47-4a4a-8c39-d30a48d24fdblogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[69,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;Das [[Pascalsche Dreieck]] lässt sich auch mit den entsprechenden Binomialkoeffizienten 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[[Binomialkoeffizient]]logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[71,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[71,logseq____&quot;^Flogseq____&quot;,65,536870920]],[logseq____&quot;^15logseq____&quot;,[71,logseq____&quot;^Xlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[71,logseq____&quot;^Vlogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[71,logseq____&quot;^Ulogseq____&quot;,37,536870920]],[logseq____&quot;^15logseq____&quot;,[71,logseq____&quot;^Ulogseq____&quot;,42,536870920]],[logseq____&quot;^15logseq____&quot;,[71,logseq____&quot;^?logseq____&quot;,[logseq____&quot;^ logseq____&quot;,logseq____&quot;^18logseq____&quot;,2],536870920]],[logseq____&quot;^15logseq____&quot;,[71,logseq____&quot;^Jlogseq____&quot;,[],536870920]],[logseq____&quot;^15logseq____&quot;,[71,logseq____&quot;^Hlogseq____&quot;,37,536870920]],[logseq____&quot;^15logseq____&quot;,[71,logseq____&quot;^17logseq____&quot;,true,536870920]],[logseq____&quot;^15logseq____&quot;,[71,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-6e0a-4599-b16b-4deb7cb5edeclogseq____&quot;,536870920]],[logseq____&quot;^15logseq____&quot;,[72,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;\\\\begin{align}\\n\\\\sqrt[n]{a^n}logseq____&amp;=1^\\\\frac nn=a^1=a\\\\\\\\\\n\\\\sqrt[n]{\\\\frac ab} logseq____&amp;= \\\\frac{\\\\sqrt[n]a}{\\\\sqrt[n]b}\\\\\\\\\\n\\\\left(\\\\sqrt[n]a\\\\right)^mlogseq____&amp;=a^\\\\frac 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$\\\\text{wahr}/\\\\text{falsch}$)logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[111,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[111,logseq____&quot;^Flogseq____&quot;,107,536870922]],[logseq____&quot;^15logseq____&quot;,[111,logseq____&quot;^Xlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[111,logseq____&quot;^Vlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[111,logseq____&quot;^Ulogseq____&quot;,91,536870922]],[logseq____&quot;^15logseq____&quot;,[111,logseq____&quot;^Ulogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[111,logseq____&quot;^Hlogseq____&quot;,91,536870922]],[logseq____&quot;^15logseq____&quot;,[111,logseq____&quot;^17logseq____&quot;,true,536870922]],[logseq____&quot;^15logseq____&quot;,[111,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-a5d7-4b60-90d1-428f114321b6logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[112,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;$\\\\text{Beispiele}$\\n\\\\begin{align}\\np\\\\land q\\\\lor r\\\\\\\\\\n(p\\\\land q)\\\\lor r\\\\\\\\\\np\\\\land (q\\\\lor r)\\\\\\\\\\n\\\\end{align}logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[112,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[112,logseq____&quot;^Flogseq____&quot;,117,536870922]],[logseq____&quot;^15logseq____&quot;,[112,logseq____&quot;^Xlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[112,logseq____&quot;^Vlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[112,logseq____&quot;^Ulogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[112,logseq____&quot;^17logseq____&quot;,true,536870922]],[logseq____&quot;^15logseq____&quot;,[112,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-8511-40fd-8fa3-3eaca6e81e88logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[113,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[113,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[113,logseq____&quot;^Flogseq____&quot;,127,536870922]],[logseq____&quot;^15logseq____&quot;,[113,logseq____&quot;^Xlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[113,logseq____&quot;^Vlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[113,logseq____&quot;^Ulogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[113,logseq____&quot;^17logseq____&quot;,true,536870922]],[logseq____&quot;^15logseq____&quot;,[113,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-73f1-4bee-b2d2-5933c3135704logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[114,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;$\\\\text{Beispiel: Bestimmung des }$[[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|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____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[114,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[114,logseq____&quot;^Flogseq____&quot;,125,536870922]],[logseq____&quot;^15logseq____&quot;,[114,logseq____&quot;^Xlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[114,logseq____&quot;^Vlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[114,logseq____&quot;^Ulogseq____&quot;,87,536870922]],[logseq____&quot;^15logseq____&quot;,[114,logseq____&quot;^Ulogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[114,logseq____&quot;^Hlogseq____&quot;,87,536870922]],[logseq____&quot;^15logseq____&quot;,[114,logseq____&quot;^17logseq____&quot;,true,536870922]],[logseq____&quot;^15logseq____&quot;,[114,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-fb85-47b3-89ff-d78275c8e174logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[115,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;[[Aussageformel]]: Entsteht durch sukzessive [[Verknüpfungen]] wie oben an Variablen ergibt #FIXMElogseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[115,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[115,logseq____&quot;^Flogseq____&quot;,122,536870922]],[logseq____&quot;^15logseq____&quot;,[115,logseq____&quot;^Xlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[115,logseq____&quot;^Vlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[115,logseq____&quot;^Ulogseq____&quot;,43,536870922]],[logseq____&quot;^15logseq____&quot;,[115,logseq____&quot;^Ulogseq____&quot;,100,536870922]],[logseq____&quot;^15logseq____&quot;,[115,logseq____&quot;^Ulogseq____&quot;,101,536870922]],[logseq____&quot;^15logseq____&quot;,[115,logseq____&quot;^Ulogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[115,logseq____&quot;^Hlogseq____&quot;,43,536870922]],[logseq____&quot;^15logseq____&quot;,[115,logseq____&quot;^Hlogseq____&quot;,100,536870922]],[logseq____&quot;^15logseq____&quot;,[115,logseq____&quot;^Hlogseq____&quot;,101,536870922]],[logseq____&quot;^15logseq____&quot;,[115,logseq____&quot;^17logseq____&quot;,true,536870922]],[logseq____&quot;^15logseq____&quot;,[115,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-eaef-4ccf-b8b4-d5937cc50004logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[116,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;# Büchertiplogseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[116,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[116,logseq____&quot;^Flogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[116,logseq____&quot;^Xlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[116,logseq____&quot;^Vlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[116,logseq____&quot;^Ulogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[116,logseq____&quot;^?logseq____&quot;,[logseq____&quot;^ logseq____&quot;,logseq____&quot;^18logseq____&quot;,1],536870922]],[logseq____&quot;^15logseq____&quot;,[116,logseq____&quot;^Jlogseq____&quot;,[],536870922]],[logseq____&quot;^15logseq____&quot;,[116,logseq____&quot;^17logseq____&quot;,false,536870922]],[logseq____&quot;^15logseq____&quot;,[116,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-b2b1-48b8-8daf-6b4ced1a4329logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[117,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;Sind $p$ und $q$ [[Aussagen]], so auch\\n\\\\begin{align}\\n(p\\\\land q) logseq____&amp;\\\\quadlogseq____&amp; (\\logseq____&quot;\\\\text{und}\\logseq____&quot;)\\\\\\\\\\n(p\\\\lor q) logseq____&amp;logseq____&amp; (\\logseq____&quot;\\\\text{oder}\\logseq____&quot;)\\\\\\\\\\n(\\\\neg p) logseq____&amp;logseq____&amp; (\\logseq____&quot;\\\\text{nicht}\\logseq____&quot;)\\\\\\\\\\n(p\\\\rightarrow q) logseq____&amp;logseq____&amp; (\\logseq____&quot;\\\\text{impliziert}\\logseq____&quot;)\\\\\\\\\\n(p\\\\leftrightarrow q) logseq____&amp;logseq____&amp; (\\logseq____&quot;\\\\text{genau dann wenn}\\logseq____&quot;)\\n\\\\end{align}logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[117,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[117,logseq____&quot;^Flogseq____&quot;,119,536870922]],[logseq____&quot;^15logseq____&quot;,[117,logseq____&quot;^Xlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[117,logseq____&quot;^Vlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[117,logseq____&quot;^Ulogseq____&quot;,99,536870922]],[logseq____&quot;^15logseq____&quot;,[117,logseq____&quot;^Ulogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[117,logseq____&quot;^Hlogseq____&quot;,99,536870922]],[logseq____&quot;^15logseq____&quot;,[117,logseq____&quot;^17logseq____&quot;,true,536870922]],[logseq____&quot;^15logseq____&quot;,[117,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-ca4e-49ee-8348-c7c24fa55fa8logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[118,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;[[Tantologie]]: Formel, die konstant $w$ istlogseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[118,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[118,logseq____&quot;^Flogseq____&quot;,114,536870922]],[logseq____&quot;^15logseq____&quot;,[118,logseq____&quot;^Xlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[118,logseq____&quot;^Vlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[118,logseq____&quot;^Ulogseq____&quot;,93,536870922]],[logseq____&quot;^15logseq____&quot;,[118,logseq____&quot;^Ulogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[118,logseq____&quot;^Hlogseq____&quot;,93,536870922]],[logseq____&quot;^15logseq____&quot;,[118,logseq____&quot;^17logseq____&quot;,true,536870922]],[logseq____&quot;^15logseq____&quot;,[118,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-c8e6-47c4-91de-f7b17e74a08alogseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[119,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;## [[Verknüpfung von Aussagen]]logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[119,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[119,logseq____&quot;^Flogseq____&quot;,109,536870922]],[logseq____&quot;^15logseq____&quot;,[119,logseq____&quot;^Xlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[119,logseq____&quot;^Vlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[119,logseq____&quot;^Ulogseq____&quot;,103,536870922]],[logseq____&quot;^15logseq____&quot;,[119,logseq____&quot;^Ulogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[119,logseq____&quot;^?logseq____&quot;,[logseq____&quot;^ logseq____&quot;,logseq____&quot;^18logseq____&quot;,2],536870922]],[logseq____&quot;^15logseq____&quot;,[119,logseq____&quot;^Jlogseq____&quot;,[],536870922]],[logseq____&quot;^15logseq____&quot;,[119,logseq____&quot;^Hlogseq____&quot;,103,536870922]],[logseq____&quot;^15logseq____&quot;,[119,logseq____&quot;^17logseq____&quot;,true,536870922]],[logseq____&quot;^15logseq____&quot;,[119,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-3905-424d-ac95-bba9b52ddc30logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[120,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;[[Belegung]] (der Variablen): Zuordnung von $w/f$ an jede [[Variable]] einer [[Aussageformel]]logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[120,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[120,logseq____&quot;^Flogseq____&quot;,115,536870922]],[logseq____&quot;^15logseq____&quot;,[120,logseq____&quot;^Xlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[120,logseq____&quot;^Vlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[120,logseq____&quot;^Ulogseq____&quot;,97,536870922]],[logseq____&quot;^15logseq____&quot;,[120,logseq____&quot;^Ulogseq____&quot;,101,536870922]],[logseq____&quot;^15logseq____&quot;,[120,logseq____&quot;^Ulogseq____&quot;,105,536870922]],[logseq____&quot;^15logseq____&quot;,[120,logseq____&quot;^Ulogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[120,logseq____&quot;^Hlogseq____&quot;,97,536870922]],[logseq____&quot;^15logseq____&quot;,[120,logseq____&quot;^Hlogseq____&quot;,101,536870922]],[logseq____&quot;^15logseq____&quot;,[120,logseq____&quot;^Hlogseq____&quot;,105,536870922]],[logseq____&quot;^15logseq____&quot;,[120,logseq____&quot;^17logseq____&quot;,true,536870922]],[logseq____&quot;^15logseq____&quot;,[120,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-1d74-4a39-bc95-6a125a48a202logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[121,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;Alternativ: $p\\\\equiv q$, falls $p\\\\leftrightarrow q$ [[Tantologie]]logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[121,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[121,logseq____&quot;^Flogseq____&quot;,123,536870922]],[logseq____&quot;^15logseq____&quot;,[121,logseq____&quot;^Xlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[121,logseq____&quot;^Vlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[121,logseq____&quot;^Ulogseq____&quot;,93,536870922]],[logseq____&quot;^15logseq____&quot;,[121,logseq____&quot;^Ulogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[121,logseq____&quot;^Hlogseq____&quot;,93,536870922]],[logseq____&quot;^15logseq____&quot;,[121,logseq____&quot;^17logseq____&quot;,true,536870922]],[logseq____&quot;^15logseq____&quot;,[121,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-5cf4-43ee-86d2-17b16b595127logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[122,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;[[Aussagenlogische variable]]: [[Variable]], die den Wert $w$ oder $f$ annimmtlogseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[122,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[122,logseq____&quot;^Flogseq____&quot;,108,536870922]],[logseq____&quot;^15logseq____&quot;,[122,logseq____&quot;^Xlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[122,logseq____&quot;^Vlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[122,logseq____&quot;^Ulogseq____&quot;,88,536870922]],[logseq____&quot;^15logseq____&quot;,[122,logseq____&quot;^Ulogseq____&quot;,97,536870922]],[logseq____&quot;^15logseq____&quot;,[122,logseq____&quot;^Ulogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[122,logseq____&quot;^Hlogseq____&quot;,88,536870922]],[logseq____&quot;^15logseq____&quot;,[122,logseq____&quot;^Hlogseq____&quot;,97,536870922]],[logseq____&quot;^15logseq____&quot;,[122,logseq____&quot;^17logseq____&quot;,true,536870922]],[logseq____&quot;^15logseq____&quot;,[122,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-6d43-4f17-801b-a02c7e9d38ablogseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[123,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;Formeln $p,q$ [[logisch äquivalent]], wenn sie den gleichen [[Wahrheitswerteverlauf]] haben.\\n[[Schreibweise]]: $p\\\\equiv q$logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[123,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[123,logseq____&quot;^Flogseq____&quot;,126,536870922]],[logseq____&quot;^15logseq____&quot;,[123,logseq____&quot;^Xlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[123,logseq____&quot;^Vlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[123,logseq____&quot;^Ulogseq____&quot;,87,536870922]],[logseq____&quot;^15logseq____&quot;,[123,logseq____&quot;^Ulogseq____&quot;,96,536870922]],[logseq____&quot;^15logseq____&quot;,[123,logseq____&quot;^Ulogseq____&quot;,104,536870922]],[logseq____&quot;^15logseq____&quot;,[123,logseq____&quot;^Ulogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[123,logseq____&quot;^Hlogseq____&quot;,87,536870922]],[logseq____&quot;^15logseq____&quot;,[123,logseq____&quot;^Hlogseq____&quot;,96,536870922]],[logseq____&quot;^15logseq____&quot;,[123,logseq____&quot;^Hlogseq____&quot;,104,536870922]],[logseq____&quot;^15logseq____&quot;,[123,logseq____&quot;^17logseq____&quot;,true,536870922]],[logseq____&quot;^15logseq____&quot;,[123,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-3c0a-47bc-b2a9-57bf5dffe962logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[124,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;C. Meinel, M. Mundhenk, [[\\logseq____&quot;Mathematische Grundlagen der Informatik\\logseq____&quot;, 5. Auflage 2011]]logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[124,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[124,logseq____&quot;^Flogseq____&quot;,116,536870922]],[logseq____&quot;^15logseq____&quot;,[124,logseq____&quot;^Xlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[124,logseq____&quot;^Vlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[124,logseq____&quot;^Ulogseq____&quot;,92,536870922]],[logseq____&quot;^15logseq____&quot;,[124,logseq____&quot;^Ulogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[124,logseq____&quot;^Hlogseq____&quot;,92,536870922]],[logseq____&quot;^15logseq____&quot;,[124,logseq____&quot;^17logseq____&quot;,true,536870922]],[logseq____&quot;^15logseq____&quot;,[124,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-1336-4a3c-9bb7-743b5354d392logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;[[Wahrheitswerteverlauf]] einer [[Aussageformel]]: Jede mögliche [[Belegung]] wird ein [[Wahrheitswert]] der [[Formel]] zugeordnet (nach [[Tabellenregeln]])logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^Flogseq____&quot;,120,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^Xlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^Vlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^Ulogseq____&quot;,87,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^Ulogseq____&quot;,90,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^Ulogseq____&quot;,91,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^Ulogseq____&quot;,98,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^Ulogseq____&quot;,101,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^Ulogseq____&quot;,105,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^Ulogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^Hlogseq____&quot;,87,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^Hlogseq____&quot;,90,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^Hlogseq____&quot;,91,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^Hlogseq____&quot;,98,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^Hlogseq____&quot;,101,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^Hlogseq____&quot;,105,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^17logseq____&quot;,true,536870922]],[logseq____&quot;^15logseq____&quot;,[125,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-d910-4b13-8720-faf8ea8ee959logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[126,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;[[Kontradiktion]]: Formel, die konstant $f$ istlogseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[126,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[126,logseq____&quot;^Flogseq____&quot;,118,536870922]],[logseq____&quot;^15logseq____&quot;,[126,logseq____&quot;^Xlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[126,logseq____&quot;^Vlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[126,logseq____&quot;^Ulogseq____&quot;,94,536870922]],[logseq____&quot;^15logseq____&quot;,[126,logseq____&quot;^Ulogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[126,logseq____&quot;^Hlogseq____&quot;,94,536870922]],[logseq____&quot;^15logseq____&quot;,[126,logseq____&quot;^17logseq____&quot;,true,536870922]],[logseq____&quot;^15logseq____&quot;,[126,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-57c7-45d0-a792-42e90e512167logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[127,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;$\\\\text{Weitere Beispiel}$\\n\\\\begin{align}\\n(p\\\\rightarrow q)logseq____&amp;\\\\equiv((\\\\neg q)\\\\rightarrow(\\\\neg p))\\\\\\\\\\n(p\\\\land(p\\\\rightarrow q)) logseq____&amp;\\\\rightarrow q logseq____&amp;\\\\quad \\\\text{Tantologie}\\n\\\\end{align}logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[127,logseq____&quot;^Ologseq____&quot;,logseq____&quot;^16logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[127,logseq____&quot;^Flogseq____&quot;,121,536870922]],[logseq____&quot;^15logseq____&quot;,[127,logseq____&quot;^Xlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[127,logseq____&quot;^Vlogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[127,logseq____&quot;^Ulogseq____&quot;,106,536870922]],[logseq____&quot;^15logseq____&quot;,[127,logseq____&quot;^17logseq____&quot;,true,536870922]],[logseq____&quot;^15logseq____&quot;,[127,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-70b9-46e1-b12d-d51420aa30a7logseq____&quot;,536870922]],[logseq____&quot;^15logseq____&quot;,[129,logseq____&quot;^Klogseq____&quot;,1696949151577,536870923]],[logseq____&quot;^15logseq____&quot;,[129,logseq____&quot;^@logseq____&quot;,false,536870923]],[logseq____&quot;^15logseq____&quot;,[129,logseq____&quot;^Ylogseq____&quot;,logseq____&quot;grundlagen und diskrete strukturenlogseq____&quot;,536870923]],[logseq____&quot;^15logseq____&quot;,[129,logseq____&quot;^11logseq____&quot;,logseq____&quot;Grundlagen und Diskrete Strukturenlogseq____&quot;,536870923]],[logseq____&quot;^15logseq____&quot;,[129,logseq____&quot;^Blogseq____&quot;,1696949151577,536870923]],[logseq____&quot;^15logseq____&quot;,[129,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-2d8e-4f86-bf9d-50c2181459c5logseq____&quot;,536870928]],[logseq____&quot;^15logseq____&quot;,[130,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;[[Grundlagen und Diskrete Strukturen 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1logseq____&quot;,536870927]],[logseq____&quot;^15logseq____&quot;,[148,logseq____&quot;^Blogseq____&quot;,1696949151659,536870927]],[logseq____&quot;^15logseq____&quot;,[148,logseq____&quot;^;logseq____&quot;,logseq____&quot;~u6525639f-d4a9-40cb-806c-772621653783logseq____&quot;,536870927]],[logseq____&quot;^15logseq____&quot;,[149,logseq____&quot;^Qlogseq____&quot;,logseq____&quot;[[Programmierung und Algorithmen 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