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last edited 11 years ago by test1 |
Edit detail for SandBox ProblemSolving revision 2 of 3
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Editor: Test
Time: 2008/04/04 21:16:23 GMT-7 |
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From Test Fri Apr 4 21:16:18 -0700 2008
From: Test
Date: Fri, 04 Apr 2008 21:16:18 -0700
Subject:
Message-ID: <20080404211618-0700@axiom-wiki.newsynthesis.org>
\begin{axiom}
solve([nw=h/cos(a)/(h/w+tan(a)),nh=nw*h/w],[w,h])
\end{axiom}
Mathe-Abi ab 2004Aufgabe: Löse die Gleichung $e^{2x}+e^{x}-2=0$
Lösung:
axiomg:=%e**(2*x)+%e**(x)-2=0\begin{equation} \label{eq1}{{e^{\left(2 \ x \right)}}+{e^x}- 2}= 0\end{equation}Type: Equation(Expression(Integer))axiomg:=g+2\begin{equation} \label{eq2}{{e^{\left(2 \ x \right)}}+{e^x}}= 2\end{equation}Type: Equation(Expression(Integer))axiomf:=(2*x^2+2*x-1)/(x^2-1)\begin{equation} \label{eq3}{{2 \ {x^2}}+{2 \ x}- 1}\over{{x^2}- 1}\end{equation}Type: Fraction(Polynomial(Integer))axiomdifferentiate(f,x)\begin{equation} \label{eq4}{-{2 \ {x^2}}-{2 \ x}- 2}\over{{x^4}-{2 \ {x^2}}+ 1}\end{equation}Type: Fraction(Polynomial(Integer))axiomsimplify(%)\begin{equation} \label{eq5}{-{2 \ {x^2}}-{2 \ x}- 2}\over{{x^4}-{2 \ {x^2}}+ 1}\end{equation}Type: Expression(Integer)axiomf2:=3*(x^2-4*%e^(-2*x))\begin{equation} \label{eq6}-{{12}\ {e^{\left(-{2 \ x}\right)}}}+{3 \ {x^2}}\end{equation}Type: Expression(Integer)axiomintegrate(f2,x)\begin{equation} \label{eq7}{6 \ {e^{\left(-{2 \ x}\right)}}}+{x^3}\end{equation}Type: Union(Expression(Integer),...)Comparar $ea(n)$ con ordenes como $n^k$, $2^n$, $n!$, $n^n$ donde $ea(n)=\frac{1}{n-\log_2{2^n-1}}$
Intento:
axiome:=1/(n-log(2^n-1))\begin{equation} \label{eq8}-{1 \over{{\log \left({{2^n}- 1}\right)}- n}}\end{equation}Type: Expression(Integer)axiomsimplify(e)\begin{equation} \label{eq9}-{1 \over{{\log \left({{2^n}- 1}\right)}- n}}\end{equation}Type: Expression(Integer)axiomsolve(n+2-log((2^(n+1)-1)^2/(2^n-1));n)\begin{equation*} \label{eq10}\left[{n = 0}\right]?\end{equation*}Type: List(Equation(Fraction(Polynomial(Integer))))... --Test, Fri, 04 Apr 2008 21:16:18 -0700 replyaxiomsolve([nw=h/cos(a)/(h/w+tan(a)),nh=nw*h/w],[w,h])\begin{equation*} \label{eq11}\begin{array}{@{}l} \displaystyle \left[ \left[{w ={{{{nw^2}\ {\cos \left({a}\right)}\ {\tan \left({a}\right)}}+{nh \ nw \ {\cos \left({a}\right)}}}\over nh}}, \: \right. \ \ \displaystyle \left.{h ={{nw \ {\cos \left({a}\right)}\ {\tan \left({a}\right)}}+{nh \ {\cos \left({a}\right)}}}}\right] \right] \end{array} \end{equation*}Type: List(List(Equation(Expression(Integer))))
Some or all expressions may not have rendered properly, because Latex returned the following error:
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