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[[Pascalsche Dreieck]] lässt sich auch mit den entsprechenden Binomialkoeffizienten 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\\\\sqrt{x^2-y^2}}\\\\sqrt{x-\\\\sqrt{x^2-y^2}}logseq____&=\\\\sqrt{\\\\left(x + 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[[Links]]logseq____",536870918]],[logseq____"^15logseq____",[47,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[47,logseq____"^Flogseq____",36,536870918]],[logseq____"^15logseq____",[47,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[47,logseq____"^Vlogseq____",36,536870918]],[logseq____"^15logseq____",[47,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[47,logseq____"^Ulogseq____",40,536870918]],[logseq____"^15logseq____",[47,logseq____"^?logseq____",[logseq____"^ 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logseq____&= \\\\ln(a*b) \\\\\\\\\\n\\\\ln(-a) logseq____&= \\\\frac1{\\\\ln a}\\\\\\\\\\n\\\\end{align}logseq____",536870918]],[logseq____"^15logseq____",[49,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[49,logseq____"^Flogseq____",50,536870918]],[logseq____"^15logseq____",[49,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[49,logseq____"^Vlogseq____",54,536870918]],[logseq____"^15logseq____",[49,logseq____"^Ulogseq____",28,536870918]],[logseq____"^15logseq____",[49,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[49,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[49,logseq____"^;logseq____",logseq____"~u6525b93c-d456-46ef-88af-014c7db487d0logseq____",536870918]],[logseq____"^15logseq____",[50,logseq____"^Qlogseq____",logseq____"$\\\\text{Welche Gleichungen sind richtig?}$\\n$\\\\text{Wenn } 10^x=y \\\\text{, dann}$\\n\\\\begin{align}\\nxlogseq____&=\\\\lg y logseq____& ,r\\\\\\\\\\nxlogseq____&=\\\\log_y10logseq____&,f\\\\\\\\\\nxlogseq____&=\\\\log_{10}ylogseq____&,r \\\\\\\\\\n\\\\ln 4 - \\\\ln 2 logseq____&= \\\\ln 2 logseq____&, r \\\\\\\\\\n\\\\ln 4 - \\\\ln 2 logseq____&= \\\\ln 8 logseq____&, f \\\\\\\\\\n\\\\ln 4 + \\\\ln 2 logseq____&= \\\\ln 8 logseq____&, r \\\\\\\\\\n\\\\end{align}logseq____",536870918]],[logseq____"^15logseq____",[50,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[50,logseq____"^Flogseq____",54,536870918]],[logseq____"^15logseq____",[50,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[50,logseq____"^Vlogseq____",54,536870918]],[logseq____"^15logseq____",[50,logseq____"^Ulogseq____",28,536870918]],[logseq____"^15logseq____",[50,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[50,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[50,logseq____"^;logseq____",logseq____"~u6525b93c-2cd4-4329-94e6-53cf3a52af9elogseq____",536870918]],[logseq____"^15logseq____",[51,logseq____"^Qlogseq____",logseq____"$\\\\text{Welche }$[[Gleichungen]]$\\\\text{ sind richtig?}$\\n\\\\begin{align}\\ne^{x+y} logseq____&= e^x + e^y logseq____& ,f \\\\\\\\\\ne^{x+y} logseq____&= e^x * x^y logseq____& ,r \\\\\\\\\\ne^{x+y}logseq____&=e^{xy} logseq____& ,f\\\\\\\\\\ne^{ln(x+y)}logseq____&=x+y logseq____& ,x+ylogseq____>c \\\\\\\\\\ne^{ln(x+y)}logseq____&=e^x*e^ylogseq____&,f\\\\\\\\\\ne^{ln(x+y)}logseq____&=ln(e^x+y)logseq____&,x+ylogseq____>0\\n\\\\end{align}logseq____",536870918]],[logseq____"^15logseq____",[51,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[51,logseq____"^Flogseq____",69,536870918]],[logseq____"^15logseq____",[51,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[51,logseq____"^Vlogseq____",69,536870918]],[logseq____"^15logseq____",[51,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[51,logseq____"^Ulogseq____",30,536870918]],[logseq____"^15logseq____",[51,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[51,logseq____"^Hlogseq____",30,536870918]],[logseq____"^15logseq____",[51,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[51,logseq____"^;logseq____",logseq____"~u6525b93c-19fd-45a4-b5a3-a04d6699df46logseq____",536870918]],[logseq____"^15logseq____",[52,logseq____"^Qlogseq____",logseq____"# Wissensabgleich [[Wurzeln]]logseq____",536870918]],[logseq____"^15logseq____",[52,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[52,logseq____"^Flogseq____",54,536870918]],[logseq____"^15logseq____",[52,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[52,logseq____"^Vlogseq____",36,536870918]],[logseq____"^15logseq____",[52,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[52,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[52,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",1],536870918]],[logseq____"^15logseq____",[52,logseq____"^Jlogseq____",[],536870918]],[logseq____"^15logseq____",[52,logseq____"^Hlogseq____",33,536870918]],[logseq____"^15logseq____",[52,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[52,logseq____"^;logseq____",logseq____"~u6525b93c-0b10-4687-b997-5c342999c2d1logseq____",536870918]],[logseq____"^15logseq____",[53,logseq____"^Qlogseq____",logseq____"#FIXME $(1+\\\\sqrt x)^5*(1-\\\\sqrt x)^5=2+20x+40x^2$ ist Falschlogseq____",536870918]],[logseq____"^15logseq____",[53,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[53,logseq____"^Flogseq____",45,536870918]],[logseq____"^15logseq____",[53,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[53,logseq____"^Vlogseq____",45,536870918]],[logseq____"^15logseq____",[53,logseq____"^Ulogseq____",25,536870918]],[logseq____"^15logseq____",[53,logseq____"^Ulogseq____",31,536870918]],[logseq____"^15logseq____",[53,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[53,logseq____"^Ulogseq____",38,536870918]],[logseq____"^15logseq____",[53,logseq____"^Hlogseq____",38,536870918]],[logseq____"^15logseq____",[53,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[53,logseq____"^;logseq____",logseq____"~u6525b93c-a94b-430b-bcb0-e20c84efae56logseq____",536870918]],[logseq____"^15logseq____",[54,logseq____"^Qlogseq____",logseq____"# Wissensabgleich [[Logarithmen]]logseq____",536870918]],[logseq____"^15logseq____",[54,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[54,logseq____"^Flogseq____",69,536870918]],[logseq____"^15logseq____",[54,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[54,logseq____"^Vlogseq____",36,536870918]],[logseq____"^15logseq____",[54,logseq____"^Ulogseq____",28,536870918]],[logseq____"^15logseq____",[54,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[54,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",1],536870918]],[logseq____"^15logseq____",[54,logseq____"^Jlogseq____",[],536870918]],[logseq____"^15logseq____",[54,logseq____"^Hlogseq____",28,536870918]],[logseq____"^15logseq____",[54,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[54,logseq____"^;logseq____",logseq____"~u6525b93c-b243-49d1-8aa7-a466c1cb4038logseq____",536870918]],[logseq____"^15logseq____",[55,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____",536870918]],[logseq____"^15logseq____",[55,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[55,logseq____"^Flogseq____",52,536870918]],[logseq____"^15logseq____",[55,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[55,logseq____"^Vlogseq____",52,536870918]],[logseq____"^15logseq____",[55,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[55,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[55,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[55,logseq____"^;logseq____",logseq____"~u6525b93c-9d8a-4b08-9f75-1bca72e16337logseq____",536870918]],[logseq____"^15logseq____",[56,logseq____"^Qlogseq____",logseq____"# [[Wurzelgleichung]]logseq____",536870918]],[logseq____"^15logseq____",[56,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[56,logseq____"^Flogseq____",78,536870918]],[logseq____"^15logseq____",[56,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[56,logseq____"^Vlogseq____",67,536870918]],[logseq____"^15logseq____",[56,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[56,logseq____"^Ulogseq____",27,536870918]],[logseq____"^15logseq____",[56,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[56,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[56,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",1],536870918]],[logseq____"^15logseq____",[56,logseq____"^Jlogseq____",[],536870918]],[logseq____"^15logseq____",[56,logseq____"^Hlogseq____",27,536870918]],[logseq____"^15logseq____",[56,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[56,logseq____"^;logseq____",logseq____"~u6525b93b-0cfe-4ca9-a4b1-488446b6e565logseq____",536870918]],[logseq____"^15logseq____",[57,logseq____"^Qlogseq____",logseq____"## [[Pascalsches Dreieck]]logseq____",536870918]],[logseq____"^15logseq____",[57,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[57,logseq____"^Flogseq____",93,536870918]],[logseq____"^15logseq____",[57,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[57,logseq____"^Vlogseq____",82,536870918]],[logseq____"^15logseq____",[57,logseq____"^Ulogseq____",25,536870918]],[logseq____"^15logseq____",[57,logseq____"^Ulogseq____",31,536870918]],[logseq____"^15logseq____",[57,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[57,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",2],536870918]],[logseq____"^15logseq____",[57,logseq____"^Jlogseq____",[],536870918]],[logseq____"^15logseq____",[57,logseq____"^Hlogseq____",25,536870918]],[logseq____"^15logseq____",[57,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[57,logseq____"^;logseq____",logseq____"~u6525b93c-ffd8-4eb5-86c1-d5b552713775logseq____",536870918]],[logseq____"^15logseq____",[58,logseq____"^Qlogseq____",logseq____"# Was ist Größer?logseq____",536870918]],[logseq____"^15logseq____",[58,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[58,logseq____"^Flogseq____",52,536870918]],[logseq____"^15logseq____",[58,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[58,logseq____"^Vlogseq____",36,536870918]],[logseq____"^15logseq____",[58,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[58,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",1],536870918]],[logseq____"^15logseq____",[58,logseq____"^Jlogseq____",[],536870918]],[logseq____"^15logseq____",[58,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[58,logseq____"^;logseq____",logseq____"~u6525b93c-fe5d-4a00-a54a-5645f52c0d3alogseq____",536870918]],[logseq____"^15logseq____",[59,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____",536870918]],[logseq____"^15logseq____",[59,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[59,logseq____"^Flogseq____",82,536870918]],[logseq____"^15logseq____",[59,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[59,logseq____"^Vlogseq____",82,536870918]],[logseq____"^15logseq____",[59,logseq____"^Ulogseq____",31,536870918]],[logseq____"^15logseq____",[59,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[59,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[59,logseq____"^;logseq____",logseq____"~u6525b93c-9876-4f5e-a064-d3ecbd11c9a6logseq____",536870918]],[logseq____"^15logseq____",[60,logseq____"^Qlogseq____",logseq____"# [[Wurzeln]]logseq____",536870918]],[logseq____"^15logseq____",[60,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[60,logseq____"^Flogseq____",94,536870918]],[logseq____"^15logseq____",[60,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[60,logseq____"^Vlogseq____",67,536870918]],[logseq____"^15logseq____",[60,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[60,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[60,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[60,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",1],536870918]],[logseq____"^15logseq____",[60,logseq____"^Jlogseq____",[],536870918]],[logseq____"^15logseq____",[60,logseq____"^Hlogseq____",33,536870918]],[logseq____"^15logseq____",[60,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[60,logseq____"^;logseq____",logseq____"~u6525b93b-e5b4-4c0e-b695-b56de7d4df47logseq____",536870918]],[logseq____"^15logseq____",[61,logseq____"^Qlogseq____",logseq____"Einsetzen, um zu überprüfen, ob man eine Fallunterscheidung brauchtlogseq____",536870918]],[logseq____"^15logseq____",[61,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[61,logseq____"^Flogseq____",71,536870918]],[logseq____"^15logseq____",[61,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[61,logseq____"^Vlogseq____",56,536870918]],[logseq____"^15logseq____",[61,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[61,logseq____"^Ulogseq____",27,536870918]],[logseq____"^15logseq____",[61,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[61,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[61,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[61,logseq____"^;logseq____",logseq____"~u6525b93b-e2cb-4f66-b10c-f2cab9de7c1elogseq____",536870918]],[logseq____"^15logseq____",[62,logseq____"^Qlogseq____",logseq____"$\\\\text{Herleitung mit }$[[Quadratische Ergänzung]]\\n\\\\begin{align}\\nx^2+px+qlogseq____&=0logseq____&|logseq____&-q\\\\\\\\\\nx^2+pxlogseq____&=-qlogseq____&|logseq____&+\\\\left(\\\\frac p2\\\\right)^2\\\\\\\\\\nx^2+px+\\\\left(\\\\frac p2\\\\right)^2logseq____&=-q+\\\\left(\\\\frac p2\\\\right)^2\\\\\\\\\\n\\\\underbrace{\\\\left(x+\\\\frac p2\\\\right)^2}_\\\\text{1. binomische Formel}logseq____&=-q+\\\\left(\\\\frac p2\\\\right)^2logseq____&|logseq____&\\\\sqrt{()}\\\\\\\\\\n\\\\left|x+\\\\frac p2\\\\right|logseq____&=\\\\sqrt{\\\\frac{p^2}4-q}logseq____&,logseq____&\\\\text{ falls }\\\\frac{p^2}4-q\\\\ge0\\\\\\\\\\nx+\\\\frac p2logseq____&=\\\\pm\\\\sqrt{\\\\frac{p^2}4-q}logseq____&|logseq____&-\\\\frac p2\\\\\\\\\\nxlogseq____&=-\\\\frac p2\\\\pm\\\\sqrt{\\\\frac{p^2}4-q}\\\\\\\\\\n\\\\end{align}logseq____",536870918]],[logseq____"^15logseq____",[62,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[62,logseq____"^Flogseq____",72,536870918]],[logseq____"^15logseq____",[62,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[62,logseq____"^Vlogseq____",72,536870918]],[logseq____"^15logseq____",[62,logseq____"^Ulogseq____",23,536870918]],[logseq____"^15logseq____",[62,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[62,logseq____"^Ulogseq____",26,536870918]],[logseq____"^15logseq____",[62,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[62,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[62,logseq____"^Ulogseq____",39,536870918]],[logseq____"^15logseq____",[62,logseq____"^Hlogseq____",23,536870918]],[logseq____"^15logseq____",[62,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[62,logseq____"^;logseq____",logseq____"~u6525b93b-cffc-43ca-b30f-9522ff4e7ddalogseq____",536870918]],[logseq____"^15logseq____",[63,logseq____"^Qlogseq____",logseq____"logseq____",536870918]],[logseq____"^15logseq____",[63,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[63,logseq____"^Flogseq____",51,536870918]],[logseq____"^15logseq____",[63,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[63,logseq____"^Vlogseq____",69,536870918]],[logseq____"^15logseq____",[63,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[63,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[63,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[63,logseq____"^;logseq____",logseq____"~u6525b93c-e3b9-4208-89de-ce8155dceff8logseq____",536870918]],[logseq____"^15logseq____",[64,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\nax^2+bx+clogseq____&=0logseq____&|:a\\\\quadlogseq____&a\\\\ne0\\\\\\\\\\nx^2+\\\\frac ba x + \\\\frac ca logseq____&= 0\\\\\\\\\\nplogseq____&=\\\\frac ba,logseq____&q = \\\\frac ca\\\\\\\\\\nx^2+px+qlogseq____&=0\\n\\\\end{align}logseq____",536870918]],[logseq____"^15logseq____",[64,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[64,logseq____"^Flogseq____",78,536870918]],[logseq____"^15logseq____",[64,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[64,logseq____"^Vlogseq____",78,536870918]],[logseq____"^15logseq____",[64,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[64,logseq____"^Ulogseq____",26,536870918]],[logseq____"^15logseq____",[64,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[64,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[64,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[64,logseq____"^;logseq____",logseq____"~u6525b93b-8494-434a-bbc9-57258321a2d3logseq____",536870918]],[logseq____"^15logseq____",[65,logseq____"^Qlogseq____",logseq____"# Wissensabgleich [[Trigonometrie]]logseq____",536870918]],[logseq____"^15logseq____",[65,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[65,logseq____"^Flogseq____",58,536870918]],[logseq____"^15logseq____",[65,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[65,logseq____"^Vlogseq____",36,536870918]],[logseq____"^15logseq____",[65,logseq____"^Ulogseq____",32,536870918]],[logseq____"^15logseq____",[65,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[65,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",1],536870918]],[logseq____"^15logseq____",[65,logseq____"^Jlogseq____",[],536870918]],[logseq____"^15logseq____",[65,logseq____"^Hlogseq____",32,536870918]],[logseq____"^15logseq____",[65,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[65,logseq____"^;logseq____",logseq____"~u6525b93c-f156-4b65-a847-35b3be63183clogseq____",536870918]],[logseq____"^15logseq____",[66,logseq____"^Qlogseq____",logseq____"## [[Binomialkoeffizient]]logseq____",536870918]],[logseq____"^15logseq____",[66,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[66,logseq____"^Flogseq____",45,536870918]],[logseq____"^15logseq____",[66,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[66,logseq____"^Vlogseq____",57,536870918]],[logseq____"^15logseq____",[66,logseq____"^Ulogseq____",25,536870918]],[logseq____"^15logseq____",[66,logseq____"^Ulogseq____",29,536870918]],[logseq____"^15logseq____",[66,logseq____"^Ulogseq____",31,536870918]],[logseq____"^15logseq____",[66,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[66,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",2],536870918]],[logseq____"^15logseq____",[66,logseq____"^Jlogseq____",[],536870918]],[logseq____"^15logseq____",[66,logseq____"^Hlogseq____",29,536870918]],[logseq____"^15logseq____",[66,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[66,logseq____"^;logseq____",logseq____"~u6525b93c-434c-4772-bebc-965698d72bddlogseq____",536870918]],[logseq____"^15logseq____",[67,logseq____"^Qlogseq____",logseq____"# [[Potenzen]] und [[Wurzeln]]logseq____",536870918]],[logseq____"^15logseq____",[67,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[67,logseq____"^Flogseq____",82,536870918]],[logseq____"^15logseq____",[67,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[67,logseq____"^Vlogseq____",36,536870918]],[logseq____"^15logseq____",[67,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[67,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[67,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[67,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",1],536870918]],[logseq____"^15logseq____",[67,logseq____"^Jlogseq____",[],536870918]],[logseq____"^15logseq____",[67,logseq____"^Hlogseq____",24,536870918]],[logseq____"^15logseq____",[67,logseq____"^Hlogseq____",33,536870918]],[logseq____"^15logseq____",[67,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[67,logseq____"^;logseq____",logseq____"~u6525b93b-1b45-47c9-8738-253b9e0a5252logseq____",536870918]],[logseq____"^15logseq____",[68,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____",536870918]],[logseq____"^15logseq____",[68,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[68,logseq____"^Flogseq____",57,536870918]],[logseq____"^15logseq____",[68,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[68,logseq____"^Vlogseq____",57,536870918]],[logseq____"^15logseq____",[68,logseq____"^Ulogseq____",25,536870918]],[logseq____"^15logseq____",[68,logseq____"^Ulogseq____",31,536870918]],[logseq____"^15logseq____",[68,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[68,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[68,logseq____"^;logseq____",logseq____"~u6525b93c-ea9c-4752-91b1-e04115b8a01clogseq____",536870918]],[logseq____"^15logseq____",[69,logseq____"^Qlogseq____",logseq____"# Wissensabgleich [[Potenzen]]logseq____",536870918]],[logseq____"^15logseq____",[69,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[69,logseq____"^Flogseq____",47,536870918]],[logseq____"^15logseq____",[69,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[69,logseq____"^Vlogseq____",36,536870918]],[logseq____"^15logseq____",[69,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[69,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[69,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",1],536870918]],[logseq____"^15logseq____",[69,logseq____"^Jlogseq____",[],536870918]],[logseq____"^15logseq____",[69,logseq____"^Hlogseq____",24,536870918]],[logseq____"^15logseq____",[69,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[69,logseq____"^;logseq____",logseq____"~u6525b93c-5997-4eef-be82-854965fc2bd8logseq____",536870918]],[logseq____"^15logseq____",[70,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____",536870918]],[logseq____"^15logseq____",[70,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[70,logseq____"^Flogseq____",75,536870918]],[logseq____"^15logseq____",[70,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[70,logseq____"^Vlogseq____",60,536870918]],[logseq____"^15logseq____",[70,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[70,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[70,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[70,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[70,logseq____"^;logseq____",logseq____"~u6525b93b-b09b-4a34-bcd4-da40a0b94177logseq____",536870918]],[logseq____"^15logseq____",[71,logseq____"^Qlogseq____",logseq____"\\\\begin{align}\\n\\\\sqrt{a+5}-\\\\sqrt{x+3}logseq____&=2\\\\sqrt(x+1) logseq____&|logseq____&()^2\\\\\\\\\\n\\\\left(\\\\sqrt{x+5}-\\\\sqrt{x+3}\\\\right)^2logseq____&=4(x+1)\\\\\\\\\\n(x+5)-2\\\\sqrt{x+5}\\\\sqrt{x+3}+(x+3)logseq____&=4x+4logseq____&|logseq____&-(2x+8)\\\\\\\\\\n-2\\\\sqrt{(x+5)(x+3)}logseq____&=2x-4 logseq____&|logseq____&()^2\\\\\\\\\\n4(x+5)(x+3)logseq____&=4x^2-16x+16\\\\\\\\\\n4x^2+32x+60logseq____&=4x^2-16x+16logseq____&|logseq____&-4x^2+16x-16\\\\\\\\\\n48x+44logseq____&=0\\\\quad x=-\\\\frac{11}{12}\\n\\\\end{align}logseq____",536870918]],[logseq____"^15logseq____",[71,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[71,logseq____"^Flogseq____",56,536870918]],[logseq____"^15logseq____",[71,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[71,logseq____"^Vlogseq____",56,536870918]],[logseq____"^15logseq____",[71,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[71,logseq____"^Ulogseq____",27,536870918]],[logseq____"^15logseq____",[71,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[71,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[71,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[71,logseq____"^;logseq____",logseq____"~u6525b93b-f4c5-434e-aeb7-9621d8c1547dlogseq____",536870918]],[logseq____"^15logseq____",[72,logseq____"^Qlogseq____",logseq____"## [[pq-Formel]]logseq____",536870918]],[logseq____"^15logseq____",[72,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[72,logseq____"^Flogseq____",64,536870918]],[logseq____"^15logseq____",[72,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[72,logseq____"^Vlogseq____",78,536870918]],[logseq____"^15logseq____",[72,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[72,logseq____"^Ulogseq____",26,536870918]],[logseq____"^15logseq____",[72,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[72,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[72,logseq____"^Ulogseq____",39,536870918]],[logseq____"^15logseq____",[72,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",2],536870918]],[logseq____"^15logseq____",[72,logseq____"^Jlogseq____",[],536870918]],[logseq____"^15logseq____",[72,logseq____"^Hlogseq____",39,536870918]],[logseq____"^15logseq____",[72,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[72,logseq____"^;logseq____",logseq____"~u6525b93b-c4a5-4bd4-a5fe-41d986474e29logseq____",536870918]],[logseq____"^15logseq____",[73,logseq____"^Qlogseq____",logseq____"$\\\\text{Beispiele}$\\n\\\\begin{align}\\n(a+b)^3(a^2+b^2)^3(a-b)^3logseq____&=(a^2+b^2)^3\\\\left((a+b)(a-b)\\\\right)^3\\\\notag\\\\\\\\\\nlogseq____&=(a^2+b^2)^3(a^2-b^2)^3\\\\notag\\\\\\\\\\nlogseq____&=\\\\left((a^2+b^2)(a^2-b^2)\\\\right)^3\\\\notag\\\\\\\\\\nlogseq____&=(a^4-b^4)^3\\\\\\\\\\n\\\\frac{a-b}{(a+b)^{-1}}logseq____&=(a-b)(a+b)\\\\notag\\\\\\\\\\nlogseq____&=a^2-b^2\\n\\\\end{align}logseq____",536870918]],[logseq____"^15logseq____",[73,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[73,logseq____"^Flogseq____",79,536870918]],[logseq____"^15logseq____",[73,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[73,logseq____"^Vlogseq____",94,536870918]],[logseq____"^15logseq____",[73,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[73,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[73,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[73,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[73,logseq____"^;logseq____",logseq____"~u6525b93b-4526-42fd-886c-90f851d1491flogseq____",536870918]],[logseq____"^15logseq____",[74,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____",536870918]],[logseq____"^15logseq____",[74,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[74,logseq____"^Flogseq____",73,536870918]],[logseq____"^15logseq____",[74,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[74,logseq____"^Vlogseq____",94,536870918]],[logseq____"^15logseq____",[74,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[74,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[74,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[74,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[74,logseq____"^;logseq____",logseq____"~u6525b93b-7167-4c39-8173-878d8ac1cca6logseq____",536870918]],[logseq____"^15logseq____",[75,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____",536870918]],[logseq____"^15logseq____",[75,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[75,logseq____"^Flogseq____",60,536870918]],[logseq____"^15logseq____",[75,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[75,logseq____"^Vlogseq____",60,536870918]],[logseq____"^15logseq____",[75,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[75,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[75,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[75,logseq____"^Ulogseq____",38,536870918]],[logseq____"^15logseq____",[75,logseq____"^Hlogseq____",38,536870918]],[logseq____"^15logseq____",[75,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[75,logseq____"^;logseq____",logseq____"~u6525b93b-81c2-4dd8-8c7e-99e698abce11logseq____",536870918]],[logseq____"^15logseq____",[76,logseq____"^Qlogseq____",logseq____"#FIXME gleichung (50) hat angeblich noch ne Zeile $=x^0+3ylogseq____>0$ welche keinen Sinn ergibtlogseq____",536870918]],[logseq____"^15logseq____",[76,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[76,logseq____"^Flogseq____",46,536870918]],[logseq____"^15logseq____",[76,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[76,logseq____"^Vlogseq____",46,536870918]],[logseq____"^15logseq____",[76,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[76,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[76,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[76,logseq____"^Ulogseq____",38,536870918]],[logseq____"^15logseq____",[76,logseq____"^Hlogseq____",38,536870918]],[logseq____"^15logseq____",[76,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[76,logseq____"^;logseq____",logseq____"~u6525b93b-3537-409b-a759-683abe6aeaf3logseq____",536870918]],[logseq____"^15logseq____",[77,logseq____"^Qlogseq____",logseq____"$\\\\text{Beispiele}$\\n\\\\begin{align}\\n\\\\underbrace{\\\\frac6{2+\\\\sqrt2}*\\\\frac{2-\\\\sqrt2}{2-\\\\sqrt2}\\n= \\\\frac{6(2-\\\\sqrt2)}{2^2-(\\\\sqrt2)^2}}_\\\\text{3. binomische Formel}\\nlogseq____&=\\\\frac{6(2-\\\\sqrt2)}2=3(2-\\\\sqrt2)\\\\\\\\\\n\\\\frac{a-b}{\\\\sqrt a+\\\\sqrt b}logseq____&=\\\\frac{a-b}{\\\\sqrt a + \\\\sqrt b}\\\\frac{\\\\sqrt a-\\\\sqrt b}{\\\\sqrt a-\\\\sqrt b}logseq____&, a,b,logseq____>0\\\\notag\\\\\\\\\\n=\\\\frac{(a-b)(\\\\sqrt a-\\\\sqrt b)}{(a-b)}logseq____&=\\\\sqrt a\\\\sqrt b\\n\\\\end{align}logseq____",536870918]],[logseq____"^15logseq____",[77,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[77,logseq____"^Flogseq____",89,536870918]],[logseq____"^15logseq____",[77,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[77,logseq____"^Vlogseq____",81,536870918]],[logseq____"^15logseq____",[77,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[77,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[77,logseq____"^Ulogseq____",35,536870918]],[logseq____"^15logseq____",[77,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[77,logseq____"^Ulogseq____",41,536870918]],[logseq____"^15logseq____",[77,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[77,logseq____"^;logseq____",logseq____"~u6525b93b-1383-4d69-8e1e-e1ae33c7cc9blogseq____",536870918]],[logseq____"^15logseq____",[78,logseq____"^Qlogseq____",logseq____"# [[Quadratische Gleichungen]]logseq____",536870918]],[logseq____"^15logseq____",[78,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[78,logseq____"^Flogseq____",60,536870918]],[logseq____"^15logseq____",[78,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[78,logseq____"^Vlogseq____",67,536870918]],[logseq____"^15logseq____",[78,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[78,logseq____"^Ulogseq____",26,536870918]],[logseq____"^15logseq____",[78,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[78,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[78,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",1],536870918]],[logseq____"^15logseq____",[78,logseq____"^Jlogseq____",[],536870918]],[logseq____"^15logseq____",[78,logseq____"^Hlogseq____",26,536870918]],[logseq____"^15logseq____",[78,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[78,logseq____"^;logseq____",logseq____"~u6525b93b-6ed1-4a60-82a0-60375bfda512logseq____",536870918]],[logseq____"^15logseq____",[79,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____",536870918]],[logseq____"^15logseq____",[79,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[79,logseq____"^Flogseq____",94,536870918]],[logseq____"^15logseq____",[79,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[79,logseq____"^Vlogseq____",94,536870918]],[logseq____"^15logseq____",[79,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[79,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[79,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[79,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[79,logseq____"^;logseq____",logseq____"~u6525b93b-f734-42b8-aee9-deb1b8c097eclogseq____",536870918]],[logseq____"^15logseq____",[80,logseq____"^Qlogseq____",logseq____"$\\\\text{Häufige Falle:}$\\n\\\\begin{align}\\n\\\\left((-1)^2\\\\right)^\\\\frac12logseq____&=(-1)^\\\\frac22logseq____&=(-1)^1logseq____&=-1\\\\\\\\\\n\\\\left((-1)^2\\\\right)^\\\\frac12logseq____&=1^\\\\frac12logseq____&logseq____&=1\\\\\\\\\\n\\\\end{align}logseq____",536870918]],[logseq____"^15logseq____",[80,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[80,logseq____"^Flogseq____",55,536870918]],[logseq____"^15logseq____",[80,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[80,logseq____"^Vlogseq____",52,536870918]],[logseq____"^15logseq____",[80,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[80,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[80,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[80,logseq____"^;logseq____",logseq____"~u6525b93c-8a97-4679-b86b-14be00dafd0alogseq____",536870918]],[logseq____"^15logseq____",[81,logseq____"^Qlogseq____",logseq____"## [[Rationalmachen]] des [[Nenner]]slogseq____",536870918]],[logseq____"^15logseq____",[81,logseq____"^Ologseq____",logseq____"^16logseq____",536870918]],[logseq____"^15logseq____",[81,logseq____"^Flogseq____",88,536870918]],[logseq____"^15logseq____",[81,logseq____"^Xlogseq____",36,536870918]],[logseq____"^15logseq____",[81,logseq____"^Vlogseq____",60,536870918]],[logseq____"^15logseq____",[81,logseq____"^Ulogseq____",24,536870918]],[logseq____"^15logseq____",[81,logseq____"^Ulogseq____",33,536870918]],[logseq____"^15logseq____",[81,logseq____"^Ulogseq____",35,536870918]],[logseq____"^15logseq____",[81,logseq____"^Ulogseq____",36,536870918]],[logseq____"^15logseq____",[81,logseq____"^Ulogseq____",41,536870918]],[logseq____"^15logseq____",[81,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",2],536870918]],[logseq____"^15logseq____",[81,logseq____"^Jlogseq____",[],536870918]],[logseq____"^15logseq____",[81,logseq____"^Hlogseq____",35,536870918]],[logseq____"^15logseq____",[81,logseq____"^Hlogseq____",41,536870918]],[logseq____"^15logseq____",[81,logseq____"^17logseq____",true,536870918]],[logseq____"^15logseq____",[81,logseq____"^;logseq____",logseq____"~u6525b93b-551e-44c3-b330-4dcc7ab91877logseq____",536870918]],[logseq____"^15logseq____",[82,logseq____"^Qlogseq____",logseq____"# [[Binomische 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logseq____",logseq____"^18logseq____",1],536870921]],[logseq____"^15logseq____",[130,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[130,logseq____"^Hlogseq____",121,536870921]],[logseq____"^15logseq____",[130,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[130,logseq____"^;logseq____",logseq____"~u6525b93c-731a-45cb-84ce-ae7b550913c0logseq____",536870921]],[logseq____"^15logseq____",[131,logseq____"^Qlogseq____",logseq____"### [[Kontradiktion]]logseq____",536870921]],[logseq____"^15logseq____",[131,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[131,logseq____"^Flogseq____",144,536870921]],[logseq____"^15logseq____",[131,logseq____"^Xlogseq____",128,536870921]],[logseq____"^15logseq____",[131,logseq____"^Vlogseq____",146,536870921]],[logseq____"^15logseq____",[131,logseq____"^Ulogseq____",116,536870921]],[logseq____"^15logseq____",[131,logseq____"^Ulogseq____",121,536870921]],[logseq____"^15logseq____",[131,logseq____"^Ulogseq____",125,536870921]],[logseq____"^15logseq____",[131,logseq____"^Ulogseq____",128,536870921]],[logseq____"^15logseq____",[131,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",3],536870921]],[logseq____"^15logseq____",[131,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[131,logseq____"^Hlogseq____",116,536870921]],[logseq____"^15logseq____",[131,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[131,logseq____"^;logseq____",logseq____"~u6525b93c-5b5b-4a21-8e71-70aff7ec80a6logseq____",536870921]],[logseq____"^15logseq____",[132,logseq____"^Qlogseq____",logseq____"Formeln $p,q$ [[logisch äquivalent]], wenn sie den gleichen [[Wahrheitswerteverlauf]] haben.\\n[[Schreibweise]]: $p\\\\equiv 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[[Aussageformel]]logseq____",536870921]],[logseq____"^15logseq____",[134,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[134,logseq____"^Flogseq____",149,536870921]],[logseq____"^15logseq____",[134,logseq____"^Xlogseq____",128,536870921]],[logseq____"^15logseq____",[134,logseq____"^Vlogseq____",146,536870921]],[logseq____"^15logseq____",[134,logseq____"^Ulogseq____",109,536870921]],[logseq____"^15logseq____",[134,logseq____"^Ulogseq____",121,536870921]],[logseq____"^15logseq____",[134,logseq____"^Ulogseq____",123,536870921]],[logseq____"^15logseq____",[134,logseq____"^Ulogseq____",125,536870921]],[logseq____"^15logseq____",[134,logseq____"^Ulogseq____",128,536870921]],[logseq____"^15logseq____",[134,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",3],536870921]],[logseq____"^15logseq____",[134,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[134,logseq____"^Hlogseq____",109,536870921]],[logseq____"^15logseq____",[134,logseq____"^Hlogseq____",123,536870921]],[logseq____"^15logseq____",[134,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[134,logseq____"^;logseq____",logseq____"~u6525b93c-2ae6-4e23-a59e-f6c9e3a5d525logseq____",536870921]],[logseq____"^15logseq____",[135,logseq____"^Qlogseq____",logseq____"C. Meinel, M. Mundhenk, [[\\logseq____"Mathematische Grundlagen der Informatik\\logseq____", 5. 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q$|\\n|-|-|-|-|-|-|\\n|f|f||w|w|w|w|\\n|f|w||w|f|f|f|\\n|w|f||f|w|f|f|\\n|w|w||w|w|w|w|logseq____",536870921]],[logseq____"^15logseq____",[137,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[137,logseq____"^Flogseq____",142,536870921]],[logseq____"^15logseq____",[137,logseq____"^Xlogseq____",128,536870921]],[logseq____"^15logseq____",[137,logseq____"^Vlogseq____",134,536870921]],[logseq____"^15logseq____",[137,logseq____"^Ulogseq____",109,536870921]],[logseq____"^15logseq____",[137,logseq____"^Ulogseq____",121,536870921]],[logseq____"^15logseq____",[137,logseq____"^Ulogseq____",123,536870921]],[logseq____"^15logseq____",[137,logseq____"^Ulogseq____",125,536870921]],[logseq____"^15logseq____",[137,logseq____"^Ulogseq____",128,536870921]],[logseq____"^15logseq____",[137,logseq____"^Hlogseq____",109,536870921]],[logseq____"^15logseq____",[137,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[137,logseq____"^;logseq____",logseq____"~u6525b93c-2b2f-4f9b-9e78-17c66fc1cc31logseq____",536870921]],[logseq____"^15logseq____",[138,logseq____"^Qlogseq____",logseq____"### 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logseq____",logseq____"^18logseq____",3],536870921]],[logseq____"^15logseq____",[138,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[138,logseq____"^Hlogseq____",110,536870921]],[logseq____"^15logseq____",[138,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[138,logseq____"^;logseq____",logseq____"~u6525b93c-53eb-43d2-8b22-595b13522928logseq____",536870921]],[logseq____"^15logseq____",[139,logseq____"^Qlogseq____",logseq____"# Büchertiplogseq____",536870921]],[logseq____"^15logseq____",[139,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[139,logseq____"^Flogseq____",128,536870921]],[logseq____"^15logseq____",[139,logseq____"^Xlogseq____",128,536870921]],[logseq____"^15logseq____",[139,logseq____"^Vlogseq____",128,536870921]],[logseq____"^15logseq____",[139,logseq____"^Ulogseq____",128,536870921]],[logseq____"^15logseq____",[139,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",1],536870921]],[logseq____"^15logseq____",[139,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[139,logseq____"^17logseq____",false,536870921]],[logseq____"^15logseq____",[139,logseq____"^;logseq____",logseq____"~u6525b93c-1152-4ade-8ad2-5bbd22c698aflogseq____",536870921]],[logseq____"^15logseq____",[140,logseq____"^Qlogseq____",logseq____"$\\\\text{Beispiele}$\\n\\\\begin{align}\\np\\\\land q\\\\lor r\\\\\\\\\\n(p\\\\land q)\\\\lor r\\\\\\\\\\np\\\\land (q\\\\lor r)\\\\\\\\\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[140,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[140,logseq____"^Flogseq____",133,536870921]],[logseq____"^15logseq____",[140,logseq____"^Xlogseq____",128,536870921]],[logseq____"^15logseq____",[140,logseq____"^Vlogseq____",146,536870921]],[logseq____"^15logseq____",[140,logseq____"^Ulogseq____",121,536870921]],[logseq____"^15logseq____",[140,logseq____"^Ulogseq____",125,536870921]],[logseq____"^15logseq____",[140,logseq____"^Ulogseq____",128,536870921]],[logseq____"^15logseq____",[140,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[140,logseq____"^;logseq____",logseq____"~u6525b93c-e491-4a8e-aa2c-84b39be4a9a8logseq____",536870921]],[logseq____"^15logseq____",[141,logseq____"^Qlogseq____",logseq____"[[Variable]], die den Wert $w$ oder $f$ annimmtlogseq____",536870921]],[logseq____"^15logseq____",[141,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[141,logseq____"^Flogseq____",138,536870921]],[logseq____"^15logseq____",[141,logseq____"^Xlogseq____",128,536870921]],[logseq____"^15logseq____",[141,logseq____"^Vlogseq____",138,536870921]],[logseq____"^15logseq____",[141,logseq____"^Ulogseq____",110,536870921]],[logseq____"^15logseq____",[141,logseq____"^Ulogseq____",119,536870921]],[logseq____"^15logseq____",[141,logseq____"^Ulogseq____",121,536870921]],[logseq____"^15logseq____",[141,logseq____"^Ulogseq____",125,536870921]],[logseq____"^15logseq____",[141,logseq____"^Ulogseq____",128,536870921]],[logseq____"^15logseq____",[141,logseq____"^Hlogseq____",119,536870921]],[logseq____"^15logseq____",[141,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[141,logseq____"^;logseq____",logseq____"~u6525b93c-381e-4096-ad2d-74f3009c2af2logseq____",536870921]],[logseq____"^15logseq____",[142,logseq____"^Qlogseq____",logseq____"Jede mögliche [[Belegung]] wird ein [[Wahrheitswert]] der [[Formel]] zugeordnet (nach [[Tabellenregeln]])logseq____",536870921]],[logseq____"^15logseq____",[142,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[142,logseq____"^Flogseq____",134,536870921]],[logseq____"^15logseq____",[142,logseq____"^Xlogseq____",128,536870921]],[logseq____"^15logseq____",[142,logseq____"^Vlogseq____",134,536870921]],[logseq____"^15logseq____",[142,logseq____"^Ulogseq____",109,536870921]],[logseq____"^15logseq____",[142,logseq____"^Ulogseq____",112,536870921]],[logseq____"^15logseq____",[142,logseq____"^Ulogseq____",113,536870921]],[logseq____"^15logseq____",[142,logseq____"^Ulogseq____",120,536870921]],[logseq____"^15logseq____",[142,logseq____"^Ulogseq____",121,536870921]],[logseq____"^15logseq____",[142,logseq____"^Ulogseq____",123,536870921]],[logseq____"^15logseq____",[142,logseq____"^Ulogseq____",125,536870921]],[logseq____"^15logseq____",[142,logseq____"^Ulogseq____",127,536870921]],[logseq____"^15logseq____",[142,logseq____"^Ulogseq____",128,536870921]],[logseq____"^15logseq____",[142,logseq____"^Hlogseq____",112,536870921]],[logseq____"^15logseq____",[142,logseq____"^Hlogseq____",113,536870921]],[logseq____"^15logseq____",[142,logseq____"^Hlogseq____",120,536870921]],[logseq____"^15logseq____",[142,logseq____"^Hlogseq____",127,536870921]],[logseq____"^15logseq____",[142,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[142,logseq____"^;logseq____",logseq____"~u6525b93c-81c7-446e-ba82-9eeb1298044flogseq____",536870921]],[logseq____"^15logseq____",[143,logseq____"^Qlogseq____",logseq____"### [[Aussageformel]]logseq____",536870921]],[logseq____"^15logseq____",[143,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[143,logseq____"^Flogseq____",138,536870921]],[logseq____"^15logseq____",[143,logseq____"^Xlogseq____",128,536870921]],[logseq____"^15logseq____",[143,logseq____"^Vlogseq____",146,536870921]],[logseq____"^15logseq____",[143,logseq____"^Ulogseq____",121,536870921]],[logseq____"^15logseq____",[143,logseq____"^Ulogseq____",123,536870921]],[logseq____"^15logseq____",[143,logseq____"^Ulogseq____",125,536870921]],[logseq____"^15logseq____",[143,logseq____"^Ulogseq____",128,536870921]],[logseq____"^15logseq____",[143,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",3],536870921]],[logseq____"^15logseq____",[143,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[143,logseq____"^Hlogseq____",123,536870921]],[logseq____"^15logseq____",[143,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[143,logseq____"^;logseq____",logseq____"~u6525b93c-0e7d-4025-9020-4353de5f5beelogseq____",536870921]],[logseq____"^15logseq____",[144,logseq____"^Qlogseq____",logseq____"### [[Tantologie]]logseq____",536870921]],[logseq____"^15logseq____",[144,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[144,logseq____"^Flogseq____",134,536870921]],[logseq____"^15logseq____",[144,logseq____"^Xlogseq____",128,536870921]],[logseq____"^15logseq____",[144,logseq____"^Vlogseq____",146,536870921]],[logseq____"^15logseq____",[144,logseq____"^Ulogseq____",115,536870921]],[logseq____"^15logseq____",[144,logseq____"^Ulogseq____",121,536870921]],[logseq____"^15logseq____",[144,logseq____"^Ulogseq____",125,536870921]],[logseq____"^15logseq____",[144,logseq____"^Ulogseq____",128,536870921]],[logseq____"^15logseq____",[144,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",3],536870921]],[logseq____"^15logseq____",[144,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[144,logseq____"^Hlogseq____",115,536870921]],[logseq____"^15logseq____",[144,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[144,logseq____"^;logseq____",logseq____"~u6525b93c-3759-40af-8342-c39ea22ab750logseq____",536870921]],[logseq____"^15logseq____",[145,logseq____"^Qlogseq____",logseq____"Zuordnung von $w/f$ an jede [[Variable]] einer [[Aussageformel]]logseq____",536870921]],[logseq____"^15logseq____",[145,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[145,logseq____"^Flogseq____",149,536870921]],[logseq____"^15logseq____",[145,logseq____"^Xlogseq____",128,536870921]],[logseq____"^15logseq____",[145,logseq____"^Vlogseq____",149,536870921]],[logseq____"^15logseq____",[145,logseq____"^Ulogseq____",119,536870921]],[logseq____"^15logseq____",[145,logseq____"^Ulogseq____",121,536870921]],[logseq____"^15logseq____",[145,logseq____"^Ulogseq____",123,536870921]],[logseq____"^15logseq____",[145,logseq____"^Ulogseq____",125,536870921]],[logseq____"^15logseq____",[145,logseq____"^Ulogseq____",127,536870921]],[logseq____"^15logseq____",[145,logseq____"^Ulogseq____",128,536870921]],[logseq____"^15logseq____",[145,logseq____"^Hlogseq____",119,536870921]],[logseq____"^15logseq____",[145,logseq____"^Hlogseq____",123,536870921]],[logseq____"^15logseq____",[145,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[145,logseq____"^;logseq____",logseq____"~u6525b93c-cd27-4326-a731-fb7e0ff42c6elogseq____",536870921]],[logseq____"^15logseq____",[146,logseq____"^Qlogseq____",logseq____"## [[Verknüpfung von Aussagen]]logseq____",536870921]],[logseq____"^15logseq____",[146,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[146,logseq____"^Flogseq____",151,536870921]],[logseq____"^15logseq____",[146,logseq____"^Xlogseq____",128,536870921]],[logseq____"^15logseq____",[146,logseq____"^Vlogseq____",130,536870921]],[logseq____"^15logseq____",[146,logseq____"^Ulogseq____",121,536870921]],[logseq____"^15logseq____",[146,logseq____"^Ulogseq____",125,536870921]],[logseq____"^15logseq____",[146,logseq____"^Ulogseq____",128,536870921]],[logseq____"^15logseq____",[146,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",2],536870921]],[logseq____"^15logseq____",[146,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[146,logseq____"^Hlogseq____",125,536870921]],[logseq____"^15logseq____",[146,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[146,logseq____"^;logseq____",logseq____"~u6525b93c-f5de-481d-8e70-a3c99a570f04logseq____",536870921]],[logseq____"^15logseq____",[147,logseq____"^Qlogseq____",logseq____"Satz, der wahr oder falsch ist, d.h. der [[Wahrheitswert]] $w$ bzw $f$ hat ($t/f$, $1/0$, $\\\\text{wahr}/\\\\text{falsch}$)logseq____",536870921]],[logseq____"^15logseq____",[147,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[147,logseq____"^Flogseq____",130,536870921]],[logseq____"^15logseq____",[147,logseq____"^Xlogseq____",128,536870921]],[logseq____"^15logseq____",[147,logseq____"^Vlogseq____",130,536870921]],[logseq____"^15logseq____",[147,logseq____"^Ulogseq____",113,536870921]],[logseq____"^15logseq____",[147,logseq____"^Ulogseq____",121,536870921]],[logseq____"^15logseq____",[147,logseq____"^Ulogseq____",128,536870921]],[logseq____"^15logseq____",[147,logseq____"^Hlogseq____",113,536870921]],[logseq____"^15logseq____",[147,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[147,logseq____"^;logseq____",logseq____"~u6525b93c-febc-4e90-84a7-c6b3e005900alogseq____",536870921]],[logseq____"^15logseq____",[148,logseq____"^Qlogseq____",logseq____"Entsteht durch sukzessive [[Verknüpfungen]] wie oben an Variablen ergibt #FIXMElogseq____",536870921]],[logseq____"^15logseq____",[148,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[148,logseq____"^Flogseq____",143,536870921]],[logseq____"^15logseq____",[148,logseq____"^Xlogseq____",128,536870921]],[logseq____"^15logseq____",[148,logseq____"^Vlogseq____",143,536870921]],[logseq____"^15logseq____",[148,logseq____"^Ulogseq____",38,536870921]],[logseq____"^15logseq____",[148,logseq____"^Ulogseq____",121,536870921]],[logseq____"^15logseq____",[148,logseq____"^Ulogseq____",122,536870921]],[logseq____"^15logseq____",[148,logseq____"^Ulogseq____",123,536870921]],[logseq____"^15logseq____",[148,logseq____"^Ulogseq____",125,536870921]],[logseq____"^15logseq____",[148,logseq____"^Ulogseq____",128,536870921]],[logseq____"^15logseq____",[148,logseq____"^Hlogseq____",38,536870921]],[logseq____"^15logseq____",[148,logseq____"^Hlogseq____",122,536870921]],[logseq____"^15logseq____",[148,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[148,logseq____"^;logseq____",logseq____"~u6525b93c-2ccf-48e5-8e69-63e40c8d0552logseq____",536870921]],[logseq____"^15logseq____",[149,logseq____"^Qlogseq____",logseq____"### [[Belegung]] (der Variablen)logseq____",536870921]],[logseq____"^15logseq____",[149,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[149,logseq____"^Flogseq____",143,536870921]],[logseq____"^15logseq____",[149,logseq____"^Xlogseq____",128,536870921]],[logseq____"^15logseq____",[149,logseq____"^Vlogseq____",146,536870921]],[logseq____"^15logseq____",[149,logseq____"^Ulogseq____",121,536870921]],[logseq____"^15logseq____",[149,logseq____"^Ulogseq____",125,536870921]],[logseq____"^15logseq____",[149,logseq____"^Ulogseq____",127,536870921]],[logseq____"^15logseq____",[149,logseq____"^Ulogseq____",128,536870921]],[logseq____"^15logseq____",[149,logseq____"^?logseq____",[logseq____"^ logseq____",logseq____"^18logseq____",3],536870921]],[logseq____"^15logseq____",[149,logseq____"^Jlogseq____",[],536870921]],[logseq____"^15logseq____",[149,logseq____"^Hlogseq____",127,536870921]],[logseq____"^15logseq____",[149,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[149,logseq____"^;logseq____",logseq____"~u6525b93c-739e-456e-baa3-137982d5de2dlogseq____",536870921]],[logseq____"^15logseq____",[150,logseq____"^Qlogseq____",logseq____"Formel, die konstant $w$ istlogseq____",536870921]],[logseq____"^15logseq____",[150,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[150,logseq____"^Flogseq____",144,536870921]],[logseq____"^15logseq____",[150,logseq____"^Xlogseq____",128,536870921]],[logseq____"^15logseq____",[150,logseq____"^Vlogseq____",144,536870921]],[logseq____"^15logseq____",[150,logseq____"^Ulogseq____",115,536870921]],[logseq____"^15logseq____",[150,logseq____"^Ulogseq____",121,536870921]],[logseq____"^15logseq____",[150,logseq____"^Ulogseq____",125,536870921]],[logseq____"^15logseq____",[150,logseq____"^Ulogseq____",128,536870921]],[logseq____"^15logseq____",[150,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[150,logseq____"^;logseq____",logseq____"~u6525b93c-af04-417b-a483-0a4670a65ee3logseq____",536870921]],[logseq____"^15logseq____",[151,logseq____"^Qlogseq____",logseq____"$\\\\text{Beispiele}$\\n\\\\begin{align}\\nlogseq____&\\logseq____"5\\\\text{ ist prim}\\logseq____" logseq____&\\\\quadlogseq____& (w)\\\\\\\\\\n\\\\notag\\\\\\\\\\nlogseq____&\\logseq____"4\\\\text{ ist prim}\\logseq____" logseq____&logseq____& (f)\\\\\\\\\\n\\\\notag\\\\\\\\\\nlogseq____&\\logseq____"\\\\text{Jede gerade Zahl }\\\\ge4\\\\notag\\\\\\\\\\nlogseq____&\\\\text{ ist Summe zweier Primzahlen}\\logseq____" logseq____&logseq____& (\\\\text{Aussage, }w\\\\text{ oder }f)\\\\notag\\\\\\\\\\nlogseq____&(\\\\text{Vermutung von Goldback 1742})\\\\text{, }logseq____&logseq____&\\\\text{richtig für gerade Zahlen bis }4*10^{18}\\\\\\\\\\n\\\\notag\\\\\\\\\\nlogseq____&\\logseq____"\\\\text{Dieser Satz ist falsch}\\logseq____" logseq____&logseq____& (\\\\text{keine Aussage})\\\\\\\\\\n\\\\notag\\\\\\\\\\nlogseq____&\\logseq____"\\\\text{Die Gleichung } x^2+y^2=z^2 \\\\notag\\\\\\\\\\nlogseq____&\\\\text{ hat eine Lösung }x,y,z\\\\notag\\\\\\\\\\nlogseq____&\\\\text{ aus positiven ganzen Zahlen}\\logseq____" logseq____&logseq____& (w\\\\text{, z.B. }x=3,y=4,z=5)\\\\\\\\\\n\\\\notag\\\\\\\\\\nlogseq____&\\logseq____"\\\\text{Für }n\\\\ge3\\\\text{ hat die Gleichung }\\\\notag\\\\\\\\\\nlogseq____&x^n+y^n=z^n\\\\text{ eine Lösung}logseq____&logseq____& (f\\\\text{, wie von Fermat 1640 vermutet}\\\\notag\\\\\\\\\\nlogseq____&x,y,z \\\\text{aus positiven ganzen Zahlen}\\logseq____" logseq____&logseq____&\\\\text{und von Wiles 1994 bewiesen})\\\\\\\\\\n\\\\notag\\\\\\\\\\nlogseq____&\\logseq____"\\\\text{Gott ist tot}\\logseq____" logseq____&logseq____& (\\\\text{Aussage? Wohl kaum?})\\\\\\\\\\n\\\\notag\\\\\\\\\\nlogseq____&\\logseq____"\\\\text{Nietzsche ist tot}\\logseq____" logseq____&logseq____& (\\\\text{Aussage?}) \\\\\\\\\\n\\\\notag\\\\\\\\\\nlogseq____&\\logseq____"\\\\text{Die Länder einer Landkarte lassen sich}\\\\notag\\\\\\\\\\nlogseq____&\\\\text{so mit nur vier Farben färben,}\\\\notag\\\\\\\\\\nlogseq____&\\\\text{dass Länder mit einer gemeinsamen}\\\\notag\\\\\\\\\\nlogseq____&\\\\text{Grenzlienie verschieden gefärbt sind.}\\logseq____" logseq____&logseq____& (\\\\text{Aussagge; }w\\\\text{, sog 4-Farben-Satz})\\n\\\\end{align}logseq____",536870921]],[logseq____"^15logseq____",[151,logseq____"^Ologseq____",logseq____"^16logseq____",536870921]],[logseq____"^15logseq____",[151,logseq____"^Flogseq____",147,536870921]],[logseq____"^15logseq____",[151,logseq____"^Xlogseq____",128,536870921]],[logseq____"^15logseq____",[151,logseq____"^Vlogseq____",130,536870921]],[logseq____"^15logseq____",[151,logseq____"^Ulogseq____",121,536870921]],[logseq____"^15logseq____",[151,logseq____"^Ulogseq____",128,536870921]],[logseq____"^15logseq____",[151,logseq____"^17logseq____",true,536870921]],[logseq____"^15logseq____",[151,logseq____"^;logseq____",logseq____"~u6525b93c-b856-49f4-83a4-3380dcc40171logseq____",536870921]],[logseq____"^15logseq____",[152,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 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<script>window.logseq_state="{:ui/theme \"dark\", :config {\"local\" {:shortcuts {}, :default-templates {:journals \"\"}, :feature/enable-journals? false, :query/views {:pprint (fn [r] [:pre.code (pprint r)])}, :editor/preferred-pasting-file? true, :macros {}, :shortcut/doc-mode-enter-for-new-block? false, :favorites [], :ui/show-empty-bullets? false, :file/name-format :triple-lowbar, :preferred-workflow :now, :publishing/all-pages-public? true, :ref/default-open-blocks-level 2, :feature/enable-block-timestamps? false, :start-of-week 6, :ref/linked-references-collapsed-threshold 50, :outliner/block-title-collapse-enabled? false, :commands [], :ui/show-full-blocks? false, :meta/version 1, :hidden [], :default-queries {:journals [{:title \"🔨 NOW\", :query [:find (pull ?h [*]) :in $ ?start ?today :where [?h :block/marker ?marker] [(contains? #{\"NOW\" \"DOING\"} ?marker)] [?h :block/page ?p] [?p :block/journal? true] [?p :block/journal-day ?d] [(>= ?d ?start)] [(<= ?d ?today)]], :inputs [:14d :today], :result-transform (fn [result] (sort-by (fn [h] (get h :block/priority \"Z\")) result)), :group-by-page? false, :collapsed? false} {:title \"📅 NEXT\", :query [:find (pull ?h [*]) :in $ ?start ?next :where [?h :block/marker ?marker] [(contains? #{\"NOW\" \"LATER\" \"TODO\"} ?marker)] [?h :block/page ?p] [?p :block/journal? true] [?p :block/journal-day ?d] [(> ?d ?start)] [(< ?d ?next)]], :inputs [:today :7d-after], :group-by-page? false, :collapsed? false}]}, :ui/auto-expand-block-refs? true, :ui/enable-tooltip? true, :query/result-transforms {:sort-by-priority (fn [result] (sort-by (fn [h] (get h :block/priority \"Z\")) result))}, :property-pages/enabled? true, :block/content-max-length 10000, :ui/show-command-doc? true, :feature/enable-search-remove-accents? true, :default-home {:page \"Vorlesungs Notizen\"}}}}"</script>
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<script type="text/javascript">// Single Page Apps for GitHub Pages
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// https://github.com/rafgraph/spa-github-pages
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// Copyright (c) 2016 Rafael Pedicini, licensed under the MIT License
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// ----------------------------------------------------------------------
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// This script checks to see if a redirect is present in the query string
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// and converts it back into the correct url and adds it to the
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// browser's history using window.history.replaceState(...),
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// which won't cause the browser to attempt to load the new url.
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// When the single page app is loaded further down in this file,
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// the correct url will be waiting in the browser's history for
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// the single page app to route accordingly.
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(function(l) {
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if (l.search) {
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var q = {};
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l.search.slice(1).split('&').forEach(function(v) {
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var a = v.split('=');
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q[a[0]] = a.slice(1).join('=').replace(/~and~/g, '&');
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});
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if (q.p !== undefined) {
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window.history.replaceState(null, null,
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l.pathname.slice(0, -1) + (q.p || '') +
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(q.q ? ('?' + q.q) : '') +
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l.hash
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);
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}
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}
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}(window.location))</script>
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<script src="static/js/main.js"></script>
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<script src="static/js/interact.min.js"></script>
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<script src="static/js/highlight.min.js"></script>
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<script src="static/js/katex.min.js"></script>
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<script src="static/js/html2canvas.min.js"></script>
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<script src="static/js/code-editor.js"></script>
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<script src="static/js/custom.js"></script>
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</body>
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