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themelogseq____",536870918]],[logseq____"^15logseq____",[29,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[29,logseq____"^Flogseq____",28,536870918]],[logseq____"^15logseq____",[29,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[29,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[29,logseq____"^Ulogseq____",23,536870918]],[logseq____"^15logseq____",[29,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[29,logseq____"^;logseq____",logseq____"~u6525448e-bdfd-4686-84ab-2628f264e170logseq____",536870918]],[logseq____"^15logseq____",[30,logseq____"^Qlogseq____",logseq____"### 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____",536870918]],[logseq____"^15logseq____",[30,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[30,logseq____"^Flogseq____",29,536870918]],[logseq____"^15logseq____",[30,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[30,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[30,logseq____"^Ulogseq____",23,536870918]],[logseq____"^15logseq____",[30,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",3],536870918]],[logseq____"^15logseq____",[30,logseq____"^Jlogseq____",[],536870918]],[logseq____"^15logseq____",[30,logseq____"^17logseq____",false,536870918]],[logseq____"^15logseq____",[30,logseq____"^;logseq____",logseq____"~u6525448e-dced-4bbb-9ae6-d1ef52b2fa55logseq____",536870918]],[logseq____"^15logseq____",[31,logseq____"^Qlogseq____",logseq____"## 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____",536870918]],[logseq____"^15logseq____",[31,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[31,logseq____"^Flogseq____",30,536870918]],[logseq____"^15logseq____",[31,logseq____"^Xlogseq____",23,536870918]],[logseq____"^15logseq____",[31,logseq____"^Vlogseq____",23,536870918]],[logseq____"^15logseq____",[31,logseq____"^Ulogseq____",23,536870918]],[logseq____"^15logseq____",[31,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",2],536870918]],[logseq____"^15logseq____",[31,logseq____"^Jlogseq____",[],536870918]],[logseq____"^15logseq____",[31,logseq____"^17logseq____",false,536870918]],[logseq____"^15logseq____",[31,logseq____"^;logseq____",logseq____"~u6525448e-6883-4c05-8241-222439cb4387logseq____",536870918]],[logseq____"^15logseq____",[34,logseq____"^Klogseq____",1696941198975,536870920]],[logseq____"^15logseq____",[34,logseq____"^@logseq____",false,536870920]],[logseq____"^15logseq____",[34,logseq____"^Ylogseq____",logseq____"potenzenlogseq____",536870920]],[logseq____"^15logseq____",[34,logseq____"^11logseq____",logseq____"Potenzenlogseq____",536870920]],[logseq____"^15logseq____",[34,logseq____"^Blogseq____",1696941198975,536870920]],[logseq____"^15logseq____",[34,logseq____"^;logseq____",logseq____"~u6525448e-aae3-4184-ba67-474954ddaa16logseq____",536870920]],[logseq____"^15logseq____",[35,logseq____"^Klogseq____",1696941198971,536870920]],[logseq____"^15logseq____",[35,logseq____"^@logseq____",false,536870920]],[logseq____"^15logseq____",[35,logseq____"^Ylogseq____",logseq____"pascalsches dreiecklogseq____",536870920]],[logseq____"^15logseq____",[35,logseq____"^11logseq____",logseq____"Pascalsches Dreiecklogseq____",536870920]],[logseq____"^15logseq____",[35,logseq____"^Blogseq____",1696941198971,536870920]],[logseq____"^15logseq____",[35,logseq____"^;logseq____",logseq____"~u6525448e-cad9-4ed1-a97a-162308d2ea1blogseq____",536870920]],[logseq____"^15logseq____",[36,logseq____"^Klogseq____",1696941198964,536870920]],[logseq____"^15logseq____",[36,logseq____"^@logseq____",false,536870920]],[logseq____"^15logseq____",[36,logseq____"^Ylogseq____",logseq____"logarithmenlogseq____",536870920]],[logseq____"^15logseq____",[36,logseq____"^11logseq____",logseq____"Logarithmenlogseq____",536870920]],[logseq____"^15logseq____",[36,logseq____"^Blogseq____",1696941198964,536870920]],[logseq____"^15logseq____",[36,logseq____"^;logseq____",logseq____"~u6525448f-623b-4336-af41-b8cbbb191f78logseq____",536870924]],[logseq____"^15logseq____",[37,logseq____"^Klogseq____",1696941198972,536870920]],[logseq____"^15logseq____",[37,logseq____"^@logseq____",false,536870920]],[logseq____"^15logseq____",[37,logseq____"^Ylogseq____",logseq____"binomialkoeffizientlogseq____",536870920]],[logseq____"^15logseq____",[37,logseq____"^11logseq____",logseq____"Binomialkoeffizientlogseq____",536870920]],[logseq____"^15logseq____",[37,logseq____"^Blogseq____",1696941198972,536870920]],[logseq____"^15logseq____",[37,logseq____"^;logseq____",logseq____"~u6525448e-803e-45b8-b574-d19059c53fa6logseq____",536870920]],[logseq____"^15logseq____",[38,logseq____"^Klogseq____",1696941198970,536870920]],[logseq____"^15logseq____",[38,logseq____"^@logseq____",false,536870920]],[logseq____"^15logseq____",[38,logseq____"^Ylogseq____",logseq____"binomische formelnlogseq____",536870920]],[logseq____"^15logseq____",[38,logseq____"^11logseq____",logseq____"Binomische Formelnlogseq____",536870920]],[logseq____"^15logseq____",[38,logseq____"^Blogseq____",1696941198970,536870920]],[logseq____"^15logseq____",[38,logseq____"^;logseq____",logseq____"~u6525448e-9812-46ff-b46f-57509651c878logseq____",536870920]],[logseq____"^15logseq____",[39,logseq____"^Klogseq____",1696941198967,536870920]],[logseq____"^15logseq____",[39,logseq____"^@logseq____",false,536870920]],[logseq____"^15logseq____",[39,logseq____"^Ylogseq____",logseq____"trigonometrielogseq____",536870920]],[logseq____"^15logseq____",[39,logseq____"^11logseq____",logseq____"Trigonometrielogseq____",536870920]],[logseq____"^15logseq____",[39,logseq____"^Blogseq____",1696941198967,536870920]],[logseq____"^15logseq____",[39,logseq____"^;logseq____",logseq____"~u6525448e-2c78-4c51-8f68-e73aaec21a7dlogseq____",536870920]],[logseq____"^15logseq____",[40,logseq____"^Klogseq____",1696941198976,536870920]],[logseq____"^15logseq____",[40,logseq____"^@logseq____",false,536870920]],[logseq____"^15logseq____",[40,logseq____"^Ylogseq____",logseq____"wurzelnlogseq____",536870920]],[logseq____"^15logseq____",[40,logseq____"^11logseq____",logseq____"Wurzelnlogseq____",536870920]],[logseq____"^15logseq____",[40,logseq____"^Blogseq____",1696941198976,536870920]],[logseq____"^15logseq____",[40,logseq____"^;logseq____",logseq____"~u6525448e-0b91-4145-9db0-db33aa9a7117logseq____",536870920]],[logseq____"^15logseq____",[41,logseq____"^Klogseq____",1696941198974,536870920]],[logseq____"^15logseq____",[41,logseq____"^@logseq____",false,536870920]],[logseq____"^15logseq____",[41,logseq____"^Ylogseq____",logseq____"pascalsche dreiecklogseq____",536870920]],[logseq____"^15logseq____",[41,logseq____"^11logseq____",logseq____"Pascalsche Dreiecklogseq____",536870920]],[logseq____"^15logseq____",[41,logseq____"^Blogseq____",1696941198974,536870920]],[logseq____"^15logseq____",[41,logseq____"^;logseq____",logseq____"~u6525448e-b358-41d5-b61b-62d8bb979243logseq____",536870920]],[logseq____"^15logseq____",[42,logseq____"^Klogseq____",1696941198976,536870920]],[logseq____"^15logseq____",[42,logseq____"^@logseq____",false,536870920]],[logseq____"^15logseq____",[42,logseq____"^Ylogseq____",logseq____"auffrischung mathe 1logseq____",536870920]],[logseq____"^15logseq____",[42,logseq____"^11logseq____",logseq____"Auffrischung Mathe 1logseq____",536870920]],[logseq____"^15logseq____",[42,logseq____"^Blogseq____",1696941198976,536870920]],[logseq____"^15logseq____",[42,logseq____"^;logseq____",logseq____"~u6525448f-5937-429c-8153-181d2324a3fclogseq____",536870921]],[logseq____"^15logseq____",[43,logseq____"^Klogseq____",1696941198977,536870920]],[logseq____"^15logseq____",[43,logseq____"^@logseq____",false,536870920]],[logseq____"^15logseq____",[43,logseq____"^Ylogseq____",logseq____"fixmelogseq____",536870920]],[logseq____"^15logseq____",[43,logseq____"^11logseq____",logseq____"FIXMElogseq____",536870920]],[logseq____"^15logseq____",[43,logseq____"^Blogseq____",1696941198977,536870920]],[logseq____"^15logseq____",[43,logseq____"^;logseq____",logseq____"~u6525448f-1eba-412e-b6df-718b77b1a745logseq____",536870922]],[logseq____"^15logseq____",[44,logseq____"^Qlogseq____",logseq____"# Wissensabgleich [[Trigonometrie]]logseq____",536870920]],[logseq____"^15logseq____",[44,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[44,logseq____"^Flogseq____",48,536870920]],[logseq____"^15logseq____",[44,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[44,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[44,logseq____"^Ulogseq____",39,536870920]],[logseq____"^15logseq____",[44,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[44,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",1],536870920]],[logseq____"^15logseq____",[44,logseq____"^Jlogseq____",[],536870920]],[logseq____"^15logseq____",[44,logseq____"^Hlogseq____",39,536870920]],[logseq____"^15logseq____",[44,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[44,logseq____"^;logseq____",logseq____"~u6525448e-1c48-4cc1-a98d-50104f6f0f5alogseq____",536870920]],[logseq____"^15logseq____",[45,logseq____"^Qlogseq____",logseq____"$\\\\text{Welche Gleichungen sind richtig?}$\\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____",536870920]],[logseq____"^15logseq____",[45,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[45,logseq____"^Flogseq____",50,536870920]],[logseq____"^15logseq____",[45,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[45,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[45,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[45,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[45,logseq____"^;logseq____",logseq____"~u6525448e-87b4-48db-bd3a-efc1f3e84ef2logseq____",536870920]],[logseq____"^15logseq____",[46,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____",536870920]],[logseq____"^15logseq____",[46,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[46,logseq____"^Flogseq____",56,536870920]],[logseq____"^15logseq____",[46,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[46,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[46,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[46,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[46,logseq____"^;logseq____",logseq____"~u6525448e-e5f5-4cb9-9a11-8721db633db4logseq____",536870920]],[logseq____"^15logseq____",[47,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____",536870920]],[logseq____"^15logseq____",[47,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[47,logseq____"^Flogseq____",51,536870920]],[logseq____"^15logseq____",[47,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[47,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[47,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[47,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[47,logseq____"^;logseq____",logseq____"~u6525448e-7a1c-4848-8e18-af4ee2bc1b5blogseq____",536870920]],[logseq____"^15logseq____",[48,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____",536870920]],[logseq____"^15logseq____",[48,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[48,logseq____"^Flogseq____",55,536870920]],[logseq____"^15logseq____",[48,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[48,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[48,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[48,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[48,logseq____"^;logseq____",logseq____"~u6525448e-f222-4732-9b38-6c25e6baaef1logseq____",536870920]],[logseq____"^15logseq____",[49,logseq____"^Qlogseq____",logseq____"#FIXME gleichung (50) hat angeblich noch ne Zeile $=x^0+3ylogseq____>0$ welche keinen Sinn ergibtlogseq____",536870920]],[logseq____"^15logseq____",[49,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[49,logseq____"^Flogseq____",64,536870920]],[logseq____"^15logseq____",[49,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[49,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[49,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[49,logseq____"^Ulogseq____",43,536870920]],[logseq____"^15logseq____",[49,logseq____"^Hlogseq____",43,536870920]],[logseq____"^15logseq____",[49,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[49,logseq____"^;logseq____",logseq____"~u6525448e-7d0c-4edf-b437-dad8eea6aa05logseq____",536870920]],[logseq____"^15logseq____",[50,logseq____"^Qlogseq____",logseq____"# Wissensabgleich [[Potenzen]]logseq____",536870920]],[logseq____"^15logseq____",[50,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[50,logseq____"^Flogseq____",42,536870920]],[logseq____"^15logseq____",[50,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[50,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[50,logseq____"^Ulogseq____",34,536870920]],[logseq____"^15logseq____",[50,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[50,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",1],536870920]],[logseq____"^15logseq____",[50,logseq____"^Jlogseq____",[],536870920]],[logseq____"^15logseq____",[50,logseq____"^Hlogseq____",34,536870920]],[logseq____"^15logseq____",[50,logseq____"^17logseq____",false,536870920]],[logseq____"^15logseq____",[50,logseq____"^;logseq____",logseq____"~u6525448e-f3b3-473d-bdde-cf8fcb5d56b2logseq____",536870920]],[logseq____"^15logseq____",[51,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____",536870920]],[logseq____"^15logseq____",[51,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[51,logseq____"^Flogseq____",44,536870920]],[logseq____"^15logseq____",[51,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[51,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[51,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[51,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[51,logseq____"^;logseq____",logseq____"~u6525448e-a31e-46d7-9b25-e022440734e9logseq____",536870920]],[logseq____"^15logseq____",[52,logseq____"^Qlogseq____",logseq____"[[draws/2023-10-08-21-23-31.excalidraw]]logseq____",536870920]],[logseq____"^15logseq____",[52,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[52,logseq____"^Flogseq____",45,536870920]],[logseq____"^15logseq____",[52,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[52,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[52,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[52,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[52,logseq____"^;logseq____",logseq____"~u6525448e-b43f-47ee-9dcd-175c1454aec6logseq____",536870920]],[logseq____"^15logseq____",[53,logseq____"^Qlogseq____",logseq____"## [[Pascalsches Dreieck]]logseq____",536870920]],[logseq____"^15logseq____",[53,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[53,logseq____"^Flogseq____",76,536870920]],[logseq____"^15logseq____",[53,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[53,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[53,logseq____"^Ulogseq____",35,536870920]],[logseq____"^15logseq____",[53,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[53,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",2],536870920]],[logseq____"^15logseq____",[53,logseq____"^Jlogseq____",[],536870920]],[logseq____"^15logseq____",[53,logseq____"^Hlogseq____",35,536870920]],[logseq____"^15logseq____",[53,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[53,logseq____"^;logseq____",logseq____"~u6525448e-f4d4-46a7-9977-745cf2b2eac2logseq____",536870920]],[logseq____"^15logseq____",[54,logseq____"^Qlogseq____",logseq____"# [[Wurzeln]]logseq____",536870920]],[logseq____"^15logseq____",[54,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[54,logseq____"^Flogseq____",58,536870920]],[logseq____"^15logseq____",[54,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[54,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[54,logseq____"^Ulogseq____",40,536870920]],[logseq____"^15logseq____",[54,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[54,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",1],536870920]],[logseq____"^15logseq____",[54,logseq____"^Jlogseq____",[],536870920]],[logseq____"^15logseq____",[54,logseq____"^Hlogseq____",40,536870920]],[logseq____"^15logseq____",[54,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[54,logseq____"^;logseq____",logseq____"~u6525448e-10ee-4e54-98f4-2603eb091123logseq____",536870920]],[logseq____"^15logseq____",[55,logseq____"^Qlogseq____",logseq____"# Was ist Größer?logseq____",536870920]],[logseq____"^15logseq____",[55,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[55,logseq____"^Flogseq____",78,536870920]],[logseq____"^15logseq____",[55,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[55,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[55,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[55,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",1],536870920]],[logseq____"^15logseq____",[55,logseq____"^Jlogseq____",[],536870920]],[logseq____"^15logseq____",[55,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[55,logseq____"^;logseq____",logseq____"~u6525448e-0905-485f-9359-87e8a304e876logseq____",536870920]],[logseq____"^15logseq____",[56,logseq____"^Qlogseq____",logseq____"# [[Binomische Formeln]]logseq____",536870920]],[logseq____"^15logseq____",[56,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[56,logseq____"^Flogseq____",65,536870920]],[logseq____"^15logseq____",[56,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[56,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[56,logseq____"^Ulogseq____",38,536870920]],[logseq____"^15logseq____",[56,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[56,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",1],536870920]],[logseq____"^15logseq____",[56,logseq____"^Jlogseq____",[],536870920]],[logseq____"^15logseq____",[56,logseq____"^Hlogseq____",38,536870920]],[logseq____"^15logseq____",[56,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[56,logseq____"^;logseq____",logseq____"~u6525448e-b975-4363-8740-2ac17eef2940logseq____",536870920]],[logseq____"^15logseq____",[57,logseq____"^Qlogseq____",logseq____"#FIXME $(1+\\\\sqrt x)^5*(1-\\\\sqrt x)^5=2+20x+40x^2$ ist Falschlogseq____",536870920]],[logseq____"^15logseq____",[57,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[57,logseq____"^Flogseq____",74,536870920]],[logseq____"^15logseq____",[57,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[57,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[57,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[57,logseq____"^Ulogseq____",43,536870920]],[logseq____"^15logseq____",[57,logseq____"^Hlogseq____",43,536870920]],[logseq____"^15logseq____",[57,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[57,logseq____"^;logseq____",logseq____"~u6525448e-dbcd-4603-82ee-c2d8020f6f1flogseq____",536870920]],[logseq____"^15logseq____",[58,logseq____"^Qlogseq____",logseq____"cosa -logseq____> beliebige Variable\\ncubus -logseq____> hoch 3logseq____",536870920]],[logseq____"^15logseq____",[58,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[58,logseq____"^Flogseq____",61,536870920]],[logseq____"^15logseq____",[58,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[58,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[58,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[58,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[58,logseq____"^;logseq____",logseq____"~u6525448e-f237-4899-a212-d0a79e70de31logseq____",536870920]],[logseq____"^15logseq____",[59,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____",536870920]],[logseq____"^15logseq____",[59,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[59,logseq____"^Flogseq____",60,536870920]],[logseq____"^15logseq____",[59,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[59,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[59,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[59,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[59,logseq____"^;logseq____",logseq____"~u6525448e-cc28-4710-a4bd-3fd131e86d25logseq____",536870920]],[logseq____"^15logseq____",[60,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____",536870920]],[logseq____"^15logseq____",[60,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[60,logseq____"^Flogseq____",54,536870920]],[logseq____"^15logseq____",[60,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[60,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[60,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[60,logseq____"^Ulogseq____",43,536870920]],[logseq____"^15logseq____",[60,logseq____"^Hlogseq____",43,536870920]],[logseq____"^15logseq____",[60,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[60,logseq____"^;logseq____",logseq____"~u6525448e-d6e2-4361-a716-7a0d538ce4a0logseq____",536870920]],[logseq____"^15logseq____",[61,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____",536870920]],[logseq____"^15logseq____",[61,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[61,logseq____"^Flogseq____",73,536870920]],[logseq____"^15logseq____",[61,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[61,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[61,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[61,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[61,logseq____"^;logseq____",logseq____"~u6525448e-dfb2-4653-a2ca-5c6a5db2d9ddlogseq____",536870920]],[logseq____"^15logseq____",[62,logseq____"^Qlogseq____",logseq____"## [[Binomialkoeffizient]]logseq____",536870920]],[logseq____"^15logseq____",[62,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[62,logseq____"^Flogseq____",57,536870920]],[logseq____"^15logseq____",[62,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[62,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[62,logseq____"^Ulogseq____",37,536870920]],[logseq____"^15logseq____",[62,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[62,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",2],536870920]],[logseq____"^15logseq____",[62,logseq____"^Jlogseq____",[],536870920]],[logseq____"^15logseq____",[62,logseq____"^Hlogseq____",37,536870920]],[logseq____"^15logseq____",[62,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[62,logseq____"^;logseq____",logseq____"~u6525448e-ef6d-4c0b-bb62-f8e268d41b0alogseq____",536870920]],[logseq____"^15logseq____",[63,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____",536870920]],[logseq____"^15logseq____",[63,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[63,logseq____"^Flogseq____",77,536870920]],[logseq____"^15logseq____",[63,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[63,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[63,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[63,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[63,logseq____"^;logseq____",logseq____"~u6525448e-835d-4975-9f20-99bfdcd1bf2blogseq____",536870920]],[logseq____"^15logseq____",[64,logseq____"^Qlogseq____",logseq____"$\\\\text{Beispiele}$\\n\\\\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}\\\\notag\\\\\\\\\\nlogseq____&=\\\\left|y\\\\right|\\\\\\\\\\n\\\\end{align}logseq____",536870920]],[logseq____"^15logseq____",[64,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[64,logseq____"^Flogseq____",59,536870920]],[logseq____"^15logseq____",[64,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[64,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[64,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[64,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[64,logseq____"^;logseq____",logseq____"~u6525448e-db85-4f62-8699-4ae68187ca01logseq____",536870920]],[logseq____"^15logseq____",[65,logseq____"^Qlogseq____",logseq____"#FIXME $\\\\sin^{-2}x+cos^2y=1,r$ ist falschlogseq____",536870920]],[logseq____"^15logseq____",[65,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[65,logseq____"^Flogseq____",47,536870920]],[logseq____"^15logseq____",[65,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[65,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[65,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[65,logseq____"^Ulogseq____",43,536870920]],[logseq____"^15logseq____",[65,logseq____"^Hlogseq____",43,536870920]],[logseq____"^15logseq____",[65,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[65,logseq____"^;logseq____",logseq____"~u6525448e-3808-4789-9dd2-8b894fe19f7elogseq____",536870920]],[logseq____"^15logseq____",[66,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____",536870920]],[logseq____"^15logseq____",[66,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[66,logseq____"^Flogseq____",75,536870920]],[logseq____"^15logseq____",[66,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[66,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[66,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[66,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[66,logseq____"^;logseq____",logseq____"~u6525448e-5105-48fd-9110-c719b071dfdalogseq____",536870920]],[logseq____"^15logseq____",[67,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____",536870920]],[logseq____"^15logseq____",[67,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[67,logseq____"^Flogseq____",68,536870920]],[logseq____"^15logseq____",[67,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[67,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[67,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[67,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[67,logseq____"^;logseq____",logseq____"~u6525448e-d059-4ead-99f2-9504cd29a1f8logseq____",536870920]],[logseq____"^15logseq____",[68,logseq____"^Qlogseq____",logseq____"# [[Potenzen]]logseq____",536870920]],[logseq____"^15logseq____",[68,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[68,logseq____"^Flogseq____",66,536870920]],[logseq____"^15logseq____",[68,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[68,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[68,logseq____"^Ulogseq____",34,536870920]],[logseq____"^15logseq____",[68,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[68,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",1],536870920]],[logseq____"^15logseq____",[68,logseq____"^Jlogseq____",[],536870920]],[logseq____"^15logseq____",[68,logseq____"^Hlogseq____",34,536870920]],[logseq____"^15logseq____",[68,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[68,logseq____"^;logseq____",logseq____"~u6525448e-9245-41a4-9edd-7108ad346ae4logseq____",536870920]],[logseq____"^15logseq____",[69,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____",536870920]],[logseq____"^15logseq____",[69,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[69,logseq____"^Flogseq____",70,536870920]],[logseq____"^15logseq____",[69,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[69,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[69,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[69,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[69,logseq____"^;logseq____",logseq____"~u6525448e-99fa-45dc-835a-efbe2928ba33logseq____",536870920]],[logseq____"^15logseq____",[70,logseq____"^Qlogseq____",logseq____"# Wissensabgleich [[Wurzeln]]logseq____",536870920]],[logseq____"^15logseq____",[70,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[70,logseq____"^Flogseq____",63,536870920]],[logseq____"^15logseq____",[70,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[70,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[70,logseq____"^Ulogseq____",40,536870920]],[logseq____"^15logseq____",[70,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[70,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",1],536870920]],[logseq____"^15logseq____",[70,logseq____"^Jlogseq____",[],536870920]],[logseq____"^15logseq____",[70,logseq____"^Hlogseq____",40,536870920]],[logseq____"^15logseq____",[70,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[70,logseq____"^;logseq____",logseq____"~u6525448e-e9c3-49ce-a782-925ff656945blogseq____",536870920]],[logseq____"^15logseq____",[71,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____",536870920]],[logseq____"^15logseq____",[71,logseq____"^Ologseq____",logseq____"^16logseq____",536870920]],[logseq____"^15logseq____",[71,logseq____"^Flogseq____",53,536870920]],[logseq____"^15logseq____",[71,logseq____"^Xlogseq____",42,536870920]],[logseq____"^15logseq____",[71,logseq____"^Vlogseq____",42,536870920]],[logseq____"^15logseq____",[71,logseq____"^Ulogseq____",42,536870920]],[logseq____"^15logseq____",[71,logseq____"^17logseq____",true,536870920]],[logseq____"^15logseq____",[71,logseq____"^;logseq____",logseq____"~u6525448e-4989-49c8-9024-d67ae186cfa7logseq____",536870920]],[logseq____"^15logseq____",[72,logseq____"^Qlogseq____",logseq____"# Wissensabgleich 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r)\\\\\\\\\\n\\\\end{align}logseq____",536870922]],[logseq____"^15logseq____",[116,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[116,logseq____"^Flogseq____",120,536870922]],[logseq____"^15logseq____",[116,logseq____"^Xlogseq____",106,536870922]],[logseq____"^15logseq____",[116,logseq____"^Vlogseq____",106,536870922]],[logseq____"^15logseq____",[116,logseq____"^Ulogseq____",106,536870922]],[logseq____"^15logseq____",[116,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[116,logseq____"^;logseq____",logseq____"~u6525448f-d1c4-478f-8c40-1900ac434503logseq____",536870922]],[logseq____"^15logseq____",[117,logseq____"^Qlogseq____",logseq____"C. Meinel, M. Mundhenk, [[\\logseq____"Mathematische Grundlagen der Informatik\\logseq____", 5. Auflage 2011]]logseq____",536870922]],[logseq____"^15logseq____",[117,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[117,logseq____"^Flogseq____",108,536870922]],[logseq____"^15logseq____",[117,logseq____"^Xlogseq____",106,536870922]],[logseq____"^15logseq____",[117,logseq____"^Vlogseq____",106,536870922]],[logseq____"^15logseq____",[117,logseq____"^Ulogseq____",92,536870922]],[logseq____"^15logseq____",[117,logseq____"^Ulogseq____",106,536870922]],[logseq____"^15logseq____",[117,logseq____"^Hlogseq____",92,536870922]],[logseq____"^15logseq____",[117,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[117,logseq____"^;logseq____",logseq____"~u6525448f-a3c1-4ac8-8302-9598c41cd8d2logseq____",536870922]],[logseq____"^15logseq____",[118,logseq____"^Qlogseq____",logseq____"# 1. [[Aussagen]]logseq____",536870922]],[logseq____"^15logseq____",[118,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[118,logseq____"^Flogseq____",111,536870922]],[logseq____"^15logseq____",[118,logseq____"^Xlogseq____",106,536870922]],[logseq____"^15logseq____",[118,logseq____"^Vlogseq____",106,536870922]],[logseq____"^15logseq____",[118,logseq____"^Ulogseq____",99,536870922]],[logseq____"^15logseq____",[118,logseq____"^Ulogseq____",106,536870922]],[logseq____"^15logseq____",[118,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",1],536870922]],[logseq____"^15logseq____",[118,logseq____"^Jlogseq____",[],536870922]],[logseq____"^15logseq____",[118,logseq____"^Hlogseq____",99,536870922]],[logseq____"^15logseq____",[118,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[118,logseq____"^;logseq____",logseq____"~u6525448f-2cb2-4331-a4b6-37e036e41213logseq____",536870922]],[logseq____"^15logseq____",[119,logseq____"^Qlogseq____",logseq____"Formeln $p,q$ [[logisch äquivalent]], wenn sie den gleichen [[Wahrheitswerteverlauf]] haben.\\n[[Schreibweise]]: $p\\\\equiv q$logseq____",536870922]],[logseq____"^15logseq____",[119,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[119,logseq____"^Flogseq____",115,536870922]],[logseq____"^15logseq____",[119,logseq____"^Xlogseq____",106,536870922]],[logseq____"^15logseq____",[119,logseq____"^Vlogseq____",106,536870922]],[logseq____"^15logseq____",[119,logseq____"^Ulogseq____",87,536870922]],[logseq____"^15logseq____",[119,logseq____"^Ulogseq____",96,536870922]],[logseq____"^15logseq____",[119,logseq____"^Ulogseq____",104,536870922]],[logseq____"^15logseq____",[119,logseq____"^Ulogseq____",106,536870922]],[logseq____"^15logseq____",[119,logseq____"^Hlogseq____",87,536870922]],[logseq____"^15logseq____",[119,logseq____"^Hlogseq____",96,536870922]],[logseq____"^15logseq____",[119,logseq____"^Hlogseq____",104,536870922]],[logseq____"^15logseq____",[119,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[119,logseq____"^;logseq____",logseq____"~u6525448f-067c-4ead-af45-0f5b8881e2d0logseq____",536870922]],[logseq____"^15logseq____",[120,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____",536870922]],[logseq____"^15logseq____",[120,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[120,logseq____"^Flogseq____",107,536870922]],[logseq____"^15logseq____",[120,logseq____"^Xlogseq____",106,536870922]],[logseq____"^15logseq____",[120,logseq____"^Vlogseq____",106,536870922]],[logseq____"^15logseq____",[120,logseq____"^Ulogseq____",99,536870922]],[logseq____"^15logseq____",[120,logseq____"^Ulogseq____",106,536870922]],[logseq____"^15logseq____",[120,logseq____"^Hlogseq____",99,536870922]],[logseq____"^15logseq____",[120,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[120,logseq____"^;logseq____",logseq____"~u6525448f-8858-48d1-9159-ee529b245d4elogseq____",536870922]],[logseq____"^15logseq____",[121,logseq____"^Qlogseq____",logseq____"[[Aussageformel]]: Entsteht durch sukzessive [[Verknüpfungen]] wie oben an Variablen ergibt #FIXMElogseq____",536870922]],[logseq____"^15logseq____",[121,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[121,logseq____"^Flogseq____",112,536870922]],[logseq____"^15logseq____",[121,logseq____"^Xlogseq____",106,536870922]],[logseq____"^15logseq____",[121,logseq____"^Vlogseq____",106,536870922]],[logseq____"^15logseq____",[121,logseq____"^Ulogseq____",43,536870922]],[logseq____"^15logseq____",[121,logseq____"^Ulogseq____",100,536870922]],[logseq____"^15logseq____",[121,logseq____"^Ulogseq____",101,536870922]],[logseq____"^15logseq____",[121,logseq____"^Ulogseq____",106,536870922]],[logseq____"^15logseq____",[121,logseq____"^Hlogseq____",43,536870922]],[logseq____"^15logseq____",[121,logseq____"^Hlogseq____",100,536870922]],[logseq____"^15logseq____",[121,logseq____"^Hlogseq____",101,536870922]],[logseq____"^15logseq____",[121,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[121,logseq____"^;logseq____",logseq____"~u6525448f-9111-4866-b4e7-4c4f24d253c2logseq____",536870922]],[logseq____"^15logseq____",[122,logseq____"^Qlogseq____",logseq____"logseq____",536870922]],[logseq____"^15logseq____",[122,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[122,logseq____"^Flogseq____",109,536870922]],[logseq____"^15logseq____",[122,logseq____"^Xlogseq____",106,536870922]],[logseq____"^15logseq____",[122,logseq____"^Vlogseq____",106,536870922]],[logseq____"^15logseq____",[122,logseq____"^Ulogseq____",106,536870922]],[logseq____"^15logseq____",[122,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[122,logseq____"^;logseq____",logseq____"~u6525448f-3aa8-4bfb-8c2b-7f9e5c6a01delogseq____",536870922]],[logseq____"^15logseq____",[123,logseq____"^Qlogseq____",logseq____"[[Tantologie]]: Formel, die konstant $w$ istlogseq____",536870922]],[logseq____"^15logseq____",[123,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[123,logseq____"^Flogseq____",124,536870922]],[logseq____"^15logseq____",[123,logseq____"^Xlogseq____",106,536870922]],[logseq____"^15logseq____",[123,logseq____"^Vlogseq____",106,536870922]],[logseq____"^15logseq____",[123,logseq____"^Ulogseq____",93,536870922]],[logseq____"^15logseq____",[123,logseq____"^Ulogseq____",106,536870922]],[logseq____"^15logseq____",[123,logseq____"^Hlogseq____",93,536870922]],[logseq____"^15logseq____",[123,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[123,logseq____"^;logseq____",logseq____"~u6525448f-9bb7-498b-9f04-68a45b809d2dlogseq____",536870922]],[logseq____"^15logseq____",[124,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|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____",536870922]],[logseq____"^15logseq____",[124,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[124,logseq____"^Flogseq____",114,536870922]],[logseq____"^15logseq____",[124,logseq____"^Xlogseq____",106,536870922]],[logseq____"^15logseq____",[124,logseq____"^Vlogseq____",106,536870922]],[logseq____"^15logseq____",[124,logseq____"^Ulogseq____",87,536870922]],[logseq____"^15logseq____",[124,logseq____"^Ulogseq____",106,536870922]],[logseq____"^15logseq____",[124,logseq____"^Hlogseq____",87,536870922]],[logseq____"^15logseq____",[124,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[124,logseq____"^;logseq____",logseq____"~u6525448f-f4c8-4230-9fda-28d0a9f309d7logseq____",536870922]],[logseq____"^15logseq____",[125,logseq____"^Qlogseq____",logseq____"Soweit die \\logseq____"[[Syntax]]\\logseq____", jetzt die [[Semantik]]. Die [[Wahrheitswert]]e\\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____",536870922]],[logseq____"^15logseq____",[125,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[125,logseq____"^Flogseq____",116,536870922]],[logseq____"^15logseq____",[125,logseq____"^Xlogseq____",106,536870922]],[logseq____"^15logseq____",[125,logseq____"^Vlogseq____",106,536870922]],[logseq____"^15logseq____",[125,logseq____"^Ulogseq____",91,536870922]],[logseq____"^15logseq____",[125,logseq____"^Ulogseq____",95,536870922]],[logseq____"^15logseq____",[125,logseq____"^Ulogseq____",98,536870922]],[logseq____"^15logseq____",[125,logseq____"^Ulogseq____",102,536870922]],[logseq____"^15logseq____",[125,logseq____"^Ulogseq____",106,536870922]],[logseq____"^15logseq____",[125,logseq____"^Hlogseq____",91,536870922]],[logseq____"^15logseq____",[125,logseq____"^Hlogseq____",95,536870922]],[logseq____"^15logseq____",[125,logseq____"^Hlogseq____",98,536870922]],[logseq____"^15logseq____",[125,logseq____"^Hlogseq____",102,536870922]],[logseq____"^15logseq____",[125,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[125,logseq____"^;logseq____",logseq____"~u6525448f-a0d9-4d50-a2be-292b3467480elogseq____",536870922]],[logseq____"^15logseq____",[126,logseq____"^Qlogseq____",logseq____"[[Belegung]] (der Variablen): Zuordnung von $w/f$ an jede [[Variable]] einer [[Aussageformel]]logseq____",536870922]],[logseq____"^15logseq____",[126,logseq____"^Ologseq____",logseq____"^16logseq____",536870922]],[logseq____"^15logseq____",[126,logseq____"^Flogseq____",121,536870922]],[logseq____"^15logseq____",[126,logseq____"^Xlogseq____",106,536870922]],[logseq____"^15logseq____",[126,logseq____"^Vlogseq____",106,536870922]],[logseq____"^15logseq____",[126,logseq____"^Ulogseq____",97,536870922]],[logseq____"^15logseq____",[126,logseq____"^Ulogseq____",101,536870922]],[logseq____"^15logseq____",[126,logseq____"^Ulogseq____",105,536870922]],[logseq____"^15logseq____",[126,logseq____"^Ulogseq____",106,536870922]],[logseq____"^15logseq____",[126,logseq____"^Hlogseq____",97,536870922]],[logseq____"^15logseq____",[126,logseq____"^Hlogseq____",101,536870922]],[logseq____"^15logseq____",[126,logseq____"^Hlogseq____",105,536870922]],[logseq____"^15logseq____",[126,logseq____"^17logseq____",true,536870922]],[logseq____"^15logseq____",[126,logseq____"^;logseq____",logseq____"~u6525448f-78bc-4e7b-be1e-ff3e8a1166dblogseq____",536870922]],[logseq____"^15logseq____",[127,logseq____"^Qlogseq____",logseq____"Satz, der wahr oder falsch ist, d.h. der [[Wahrheitswert]] $w$ bzw $f$ hat ($t/f$, $1/0$, 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