116 lines
2.3 KiB
TeX
116 lines
2.3 KiB
TeX
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\documentclass{beamer}
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\usetheme{Berlin}
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\usepackage[utf8]{inputenc}
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\usepackage{polski}
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\author{Grzegorz Adamski}
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\usepackage{listings}
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\title{Maxima i WolframAlpha}
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\begin{document}
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\maketitle
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\begin{frame}{Maxima}
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\begin{center}
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\url{http://maxima-online.org/}
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\end{center}
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Po wprowadzeniu formuł w okienko klikamy Calculate.
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\end{frame}
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\begin{frame}[fragile]{Maxima - rozwiązywanie równań i układów równań}
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\begin{lstlisting}
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eq1:x*4+y-2=y;
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eq2:x+2=y;
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linsolve([eq1,eq2],[x,y]);
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solve(x^3-x^2+12*x-7=0);
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]{Maxima - pochodne i całki}
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\begin{lstlisting}
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f(x):=x^2;
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diff(f(x),x);
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integrate(f(x),x);
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integrate(f(x),x,0,3);
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]{Maxima - rysowanie wykresów}
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\begin{lstlisting}
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h1(x):= sin(0.5*x-1);
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h2(x):= 3*sin(1.5*x+2);
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plot2d(h1,[x,-2,3]);
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plot2d(h1(x)+h2(x),[x,-2*%pi,2*%pi]);
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]{Maxima - rysowanie wykresów 3d}
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\begin{lstlisting}
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f(x,y):=x*x+y*y;
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plot3d(f(x,2*y),[x,-2,2],[y,-2,2]);
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]{Maxima - rysowanie wykresów parametrycznych}
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\begin{lstlisting}
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plot2d([parametric,sin(t/3),
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cos(t/4),[t, 0, 200]]);
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plot2d([parametric,sin(t/3),
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cos(t/4),[t, 0, 200],[nticks, 2000]]);
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]{Maxima - macierze}
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\begin{lstlisting}
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a:matrix([1,1],[1,0]);
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b:matrix([3,2],[2,1]);
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a*b;
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a.b;
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]{WolframAlpha}
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\url{http://www.wolframalpha.com/}
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\end{frame}
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\begin{frame}[fragile]{WolframAlpha - sumowanie}
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\begin{lstlisting}
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sum_l=1^30 (sum_k=1^20 sin(k)cos(l))
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]{WolframAlpha - całki i pochodne}
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\begin{lstlisting}
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int sin(x)/x
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int_0^pi cos(3x)
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(x^2)'
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d(x+y^2)/dy
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]{WolframAlpha - wykresy}
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\begin{lstlisting}
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plot(x^3 cos x)
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plot(x^2+y^2)
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plot(sqrt(x))
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parametric plot (cos^3 t, sin^3 t)
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]{WolframAlpha}
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\begin{lstlisting}
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photon energy 435nm
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black hole 10 solar masses
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3D structure of ibuprofen
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\end{lstlisting}
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\end{frame}
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\begin{frame}{Dziękuję za uwagę}
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\begin{center}
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\includegraphics[height=6cm]{Critter}
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\end{center}
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\end{frame}
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\end{document}
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