%% Created by Maple 2018.0, Windows 10
%% Source Worksheet: lesson01
%% Generated: Thu Jan 23 12:28:36 EET 2020
\documentclass{article}
\usepackage{maplestd2e}
\def\emptyline{\vspace{12pt}}
\begin{document}
\pagestyle{empty}
\DefineParaStyle{Maple Bullet Item}
\DefineParaStyle{Maple Heading 1}
\DefineParaStyle{Maple Warning}
\DefineParaStyle{Maple Heading 4}
\DefineParaStyle{Maple Heading 2}
\DefineParaStyle{Maple Heading 3}
\DefineParaStyle{Maple Dash Item}
\DefineParaStyle{Maple Error}
\DefineParaStyle{Maple Title}
\DefineParaStyle{Maple Text Output}
\DefineParaStyle{Maple Normal}
\DefineCharStyle{Maple 2D Output}
\DefineCharStyle{Maple 2D Input}
\DefineCharStyle{Maple Maple Input}
\DefineCharStyle{Maple 2D Math}
\DefineCharStyle{Maple Hyperlink}
\mapleinline{inert}{2d}{-6; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{-6; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{-6}{\[\displaystyle -6\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{4; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{4; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{4}{\[\displaystyle 4\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{28; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{28; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{28}{\[\displaystyle 28\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{factorial(15); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{factorial(15); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{1307674368000}{\[\displaystyle 1307674368000\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{ifactor(34276); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{ifactor(34276); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{8569*2^2}{\[\displaystyle 34276\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{iquo(49, 8); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{iquo(49, 8); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{6}{\[\displaystyle 6\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{irem(49, 8); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{irem(49, 8); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{1}{\[\displaystyle 1\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{isprime(43277); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{isprime(43277); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{false}{\[\displaystyle {\it false}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{isprime(347); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{isprime(347); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{true}{\[\displaystyle {\it true}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{209/21; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{209/21; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{209/21}{\[\displaystyle {\frac{209}{21}}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{evalf(%, 3); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{evalf(%, 3); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{9.95}{\[\displaystyle  9.95\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{(1/4)*3^(2/3)*4^(2/5); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{(1/4)*3^(2/3)*4^(2/5); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{(1/4)*3^(2/3)*4^(2/5)}{\[\displaystyle 1/4\,{3}^{2/3}{4}^{2/5}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{sqrt(3+2*sqrt(2))-sqrt(3-2*sqrt(2)); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{sqrt(3+2*sqrt(2))-sqrt(3-2*sqrt(2)); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{2}{\[\displaystyle 2\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{2/3+3*I; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{2/3+3*I; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{2/3+3*I}{\[\displaystyle 2/3+3\,i\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{1+I; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{1+I; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{1+I}{\[\displaystyle 1+i\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{1/3+3*I; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{1/3+3*I; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{1/3+3*I}{\[\displaystyle 1/3+3\,i\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{-16/9+(4/3)*I; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{-16/9+(4/3)*I; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{-16/9+(4/3)*I}{\[\displaystyle -{\frac{16}{9}}+4/3\,i\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{-8/5+(6/5)*I; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{-8/5+(6/5)*I; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{-8/5+(6/5)*I}{\[\displaystyle -8/5+6/5\,i\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{conjugate(-8/5+(6/5)*I); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{conjugate(-8/5+(6/5)*I); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{-8/5-(6/5)*I}{\[\displaystyle -8/5-6/5\,i\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{abs(-8/5+(6/5)*I); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{abs(-8/5+(6/5)*I); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{2}{\[\displaystyle 2\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{argument(-8/5+(6/5)*I); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{argument(-8/5+(6/5)*I); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{-arctan(3/4)+Pi}{\[\displaystyle -\arctan \left( 3/4 \right) +\pi\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{Re(-8/5+(6/5)*I); 1; Im(37/5+(6/5)*I); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{Re(-8/5+(6/5)*I); 1; Im(37/5+(6/5)*I); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{-8/5}{\[\displaystyle -8/5\]}
\end{maplelatex}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{6/5}{\[\displaystyle 6/5\]}
\end{maplelatex}
\end{maplegroup}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{Re(-8/5+(6/5)*I); 1; Im(37/5+(6/5)*I); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{-8/5}{\[\displaystyle -8/5\]}
\end{maplelatex}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{6/5}{\[\displaystyle 6/5\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{evalc(argument(((1/2)^(1/2)-I*(1/2)^(1/2))^(1/4))); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{evalc(argument(((1/2)^(1/2)-I*(1/2)^(1/2))^(1/4))); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{-(1/16)*Pi}{\[\displaystyle -\pi/16\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{evalf(Pi, 7); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{evalf(Pi, 7); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{3.141593}{\[\displaystyle  3.141593\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{evalf(gamma, 12); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{evalf(gamma, 12); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{.577215664902}{\[\displaystyle  0.577215664902\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{pi}{\[\displaystyle \pi\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{S := "FRAZA"; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{S := "FRAZA"; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{"FRAZA"}{\[\displaystyle ``FRAZA''\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{length(S); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{length(S); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{5}{\[\displaystyle 5\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{S[3]; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{S[3]; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{"A"}{\[\displaystyle ``A''\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{"FRAZA"[2 .. 4]; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{"FRAZA"[2 .. 4]; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{"RAZ"}{\[\displaystyle ``RAZ''\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{"FRAZA" || "235"; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{"FRAZA" || "235"; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{"FRAZA235"}{\[\displaystyle ``FRAZA235''\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{cat("FRAZA", "235"); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{cat("FRAZA", "235"); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{"FRAZA235"}{\[\displaystyle ``FRAZA235''\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{help("protect")}{\[\displaystyle {\it help} \left( ``protect'' \right) \]}
\mapleinline{inert}{2d}{help("inifunction")}{\[\displaystyle {\it help} \left( ``inifunction'' \right) \]}
\mapleinline{inert}{2d}{ff := proc (x) options operator, arrow; (sin(x)+cos(x))/x^2 end proc; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{ff := proc (x) options operator, arrow; (sin(x)+cos(x))/x^2 end proc; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{proc (x) options operator, arrow; (sin(x)+cos(x))/x^2 end proc}{\[\displaystyle x\mapsto {\frac {\sin \left( x \right) +\cos \left( x \right) }{{x}^{2}}}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{evalf(ff(2)); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{evalf(ff(2)); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{.1232876476}{\[\displaystyle  0.1232876476\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{ff1 := proc (x, y) options operator, arrow; sin(x)*sin(y)/(sin(x)+sin(y)) end proc; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{ff1 := proc (x, y) options operator, arrow; sin(x)*sin(y)/(sin(x)+sin(y)) end proc; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{proc (x, y) options operator, arrow; sin(x)*sin(y)/(sin(x)+sin(y)) end proc}{\[\displaystyle ( {x,y} )\mapsto {\frac {\sin \left( x \right) \sin \left( y \right) }{\sin \left( x \right) +\sin \left( y \right) }}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{evalf(ff(2, 3)); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{evalf(ff(2, 3)); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{.1232876476}{\[\displaystyle  0.1232876476\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{piecewise(-infinity < x and x <= 0, x^2, 0 < x, x); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{piecewise(-infinity < x and x <= 0, x^2, 0 < x, x); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{piecewise(-infinity < x and x <= 0, x^2, 0 < x, x)}{\[\displaystyle \cases{{x}^{2}&$-\infty <x$\  and \ $x\leq 0$\cr x&$0<x$\cr}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{piecewise(x^2+y^2 <= 1, x^2+y^2, 1/sqrt(x^2+y^2)); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{piecewise(x^2+y^2 <= 1, x^2+y^2, 1/sqrt(x^2+y^2)); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{piecewise(x^2+y^2 <= 1, x^2+y^2, 1/sqrt(x^2+y^2))}{\[\displaystyle \cases{{x}^{2}+{y}^{2}&${x}^{2}+{y}^{2}\leq 1$\cr  \left(  \sqrt{{x}^{2}+{y}^{2}} \right) ^{-1}&otherwise\cr}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{s1 := 1, x, x^2, x^3; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{s1 := 1, x, x^2, x^3; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{1, x, x^2, x^3}{\[\displaystyle 1,\,x,\,{x}^{2},\,{x}^{3}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{whattype(s1); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{whattype(s1); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{exprseq}{\[\displaystyle {\it exprseq}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{s1[2 .. 4]; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{s1[2 .. 4]; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{x, x^2, x^3}{\[\displaystyle x,\,{x}^{2},\,{x}^{3}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{s1[2] := y; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{s1[2] := y; 1}{\[\]}
\end{mapleinput}
\mapleresult
\underline{}Error, invalid assignment (1, x, x\symbol{94}2, x\symbol{94}3)[2] := y; cannot assign to an expression sequence\underline{}\end{maplegroup}
\mapleinline{inert}{2d}{a, b, c, d := s1; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{a, b, c, d := s1; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{1, x, x^2, x^3}{\[\displaystyle 1,\,x,\,{x}^{2},\,{x}^{3}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{s2 := seq(1/j^(3/2), j = 1 .. 10); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{s2 := seq(1/j^(3/2), j = 1 .. 10); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{1, (1/4)*sqrt(2), (1/9)*sqrt(3), (1/16)*sqrt(4), (1/25)*sqrt(5), (1/36)*sqrt(6), (1/49)*sqrt(7), (1/64)*sqrt(8), (1/81)*sqrt(9), (1/100)*sqrt(10)}{\[\displaystyle 1,\,1/4\, \sqrt{2},\,1/9\, \sqrt{3},\,1/16\, \sqrt{4},\,1/25\, \sqrt{5},\,1/36\, \sqrt{6},\,1/49\, \sqrt{7},\,{\frac { \sqrt{8}}{64}},\,{\frac { \sqrt{9}}{81}},\,{\frac { \sqrt{10}}{100}}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{s3 := seq(1/i, i = s1); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{s3 := seq(1/i, i = s1); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{1, 1/x, 1/x^2, 1/x^3}{\[\displaystyle 1,\,{x}^{-1},\,{x}^{-2},\,{x}^{-3}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{sp1 := [1, x, x^2, x^3, x^4]; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{sp1 := [1, x, x^2, x^3, x^4]; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{[1, x, x^2, x^3, x^4]}{\[\displaystyle [1,x,{x}^{2},{x}^{3},{x}^{4}]\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{sp1[2]; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{sp1[2]; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{x}{\[\displaystyle x\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{sp1[3 .. -1]; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{sp1[3 .. -1]; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{[x^2, x^3, x^4]}{\[\displaystyle [{x}^{2},{x}^{3},{x}^{4}]\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{sp1[3] := y^2; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{sp1[3] := y^2; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{y^2}{\[\displaystyle {y}^{2}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{sp1 := sp1; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{sp1 := sp1; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{[1, x, y^2, x^3, x^4]}{\[\displaystyle [1,x,{y}^{2},{x}^{3},{x}^{4}]\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{Mn1 := {a, b, c, d, f}; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{Mn1 := {a, b, c, d, f}; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{{1, f, x, x^2, x^3}}{\[\displaystyle  \left\{ 1,f,x,{x}^{2},{x}^{3} \right\} \]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{Mn1[2 .. 4]; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{Mn1[2 .. 4]; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{{f, x, x^2}}{\[\displaystyle  \left\{ f,x,{x}^{2} \right\} \]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{Mn1[4]; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{Mn1[4]; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{x^2}{\[\displaystyle {x}^{2}\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{Mn1[4] := dd; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{Mn1[4] := dd; 1}{\[\]}
\end{mapleinput}
\mapleresult
\underline{}Error, cannot reassign the entries in a set\underline{}\end{maplegroup}
\mapleinline{inert}{2d}{Mn2 := Mn1 union {e, g}; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{Mn2 := Mn1 union {e, g}; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{{1, e, f, g, x, x^2, x^3}}{\[\displaystyle  \left\{ 1,e,f,g,x,{x}^{2},{x}^{3} \right\} \]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{Mn3 := Mn2 minus {b}; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{Mn3 := Mn2 minus {b}; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{{1, e, f, g, x^2, x^3}}{\[\displaystyle  \left\{ 1,e,f,g,{x}^{2},{x}^{3} \right\} \]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{Mn4 := Mn2 intersect Mn3; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{Mn4 := Mn2 intersect Mn3; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{{1, e, f, g, x^2, x^3}}{\[\displaystyle  \left\{ 1,e,f,g,{x}^{2},{x}^{3} \right\} \]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{MM := array(1 .. 4, 1 .. 4, [[1, 2, 3, 4], [2, 3, 4, 5], [3, 4, 5, 6], [4, 5, 6, 7]]); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{MM := array(1 .. 4, 1 .. 4, [[1, 2, 3, 4], [2, 3, 4, 5], [3, 4, 5, 6], [4, 5, 6, 7]]); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{rtable(1 .. 4, 1 .. 4, [[1, 2, 3, 4], [2, 3, 4, 5], [3, 4, 5, 6], [4, 5, 6, 7]], subtype = Matrix)}{\[\displaystyle {\it rtable} \left( {1\ldots 4},{1\ldots 4},[[1\\
\mbox{},2,3,4],[2,3,4,5],[3,4,5,6],[4,5,6,7]],{\it subtype}\\
\mbox{}={\it Matrix} \right) \]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{MM1 := array(1 .. 4, 1 .. 4, [seq([seq(i+j, i = 1 .. 4)], j = 1 .. 4)]); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{MM1 := array(1 .. 4, 1 .. 4, [seq([seq(i+j, i = 1 .. 4)], j = 1 .. 4)]); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{rtable(1 .. 4, 1 .. 4, [[2, 3, 4, 5], [3, 4, 5, 6], [4, 5, 6, 7], [5, 6, 7, 8]], subtype = Matrix)}{\[\displaystyle {\it rtable} \left( {1\ldots 4},{1\ldots 4},[[2\\
\mbox{},3,4,5],[3,4,5,6],[4,5,6,7],[5,6,7,8]],{\it subtype}\\
\mbox{}={\it Matrix} \right) \]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{MM[2, 1]; 1; MM; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{MM[2, 1]; 1; MM; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{2}{\[\displaystyle 2\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{MM[3, 3] := 100; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{MM[3, 3] := 100; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{100}{\[\displaystyle 100\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{print(MM); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{print(MM); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{rtable(1 .. 4, 1 .. 4, [[1, 2, 3, 4], [2, 3, 4, 5], [3, 4, 100, 6], [4, 5, 6, 7]], subtype = Matrix)}{\[\displaystyle {\it rtable} \left( {1\ldots 4},{1\ldots 4},[[1\\
\mbox{},2,3,4],[2,3,4,5],[3,4,100,6],[4,5,6,7]],{\it subtype}\\
\mbox{}={\it Matrix} \right) \]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{MM2 := array(1 .. 2, 1 .. 2, 1 .. 2, [[[a, b], [c, d]], [[a1, b1], [c1, d1]]]); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{MM2 := array(1 .. 2, 1 .. 2, 1 .. 2, [[[a, b], [c, d]], [[a1, b1], [c1, d1]]]); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{ARRAY([1 .. 2, 1 .. 2, 1 .. 2], [(1, 1, 1) = 1, (1, 1, 2) = x, (1, 2, 1) = x^2, (1, 2, 2) = x^3, (2, 1, 1) = a1, (2, 1, 2) = b1, (2, 2, 1) = c1, (2, 2, 2) = d1])}{\[\displaystyle {\it ARRAY} \left( [{1\ldots 2},{1\ldots 2},{1\\
\mbox{}\ldots 2}],[{1,1,1}=1,{1,1,2}=x,{1,2\\
\mbox{},1}={x}^{2},{1,2,2}={x}^{3},{2,1,1}={\it a1},{2,1,2}={\it b1},{2\\
\mbox{},2,1}={\it c1},{2,2,2}={\it d1}] \right) \]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{SM := [seq([seq(m[i, j], j = 1 .. 3)], i = 1 .. 3)]; 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{SM := [seq([seq(m[i, j], j = 1 .. 3)], i = 1 .. 3)]; 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{[[m[1, 1], m[1, 2], m[1, 3]], [m[2, 1], m[2, 2], m[2, 3]], [m[3, 1], m[3, 2], m[3, 3]]]}{\[\displaystyle [[m_{{1,1}},m_{{1,2}},m_{{1,3}}],[m_{{2,1}},m_{{2,2}},m_{{2,3}}],[m_{{3,1\\
\mbox{}}},m_{{3,2}},m_{{3,3}}]]\]}
\end{maplelatex}
\end{maplegroup}
\mapleinline{inert}{2d}{SM := [seq([seq(m[i, j], j = 1 .. 3)], i = 1 .. 3)]; -1}{\[\displaystyle \]}
\mapleinline{inert}{2d}{MMM := array(SM); 1}{\[\displaystyle \]}
\begin{maplegroup}
\begin{mapleinput}
\mapleinline{active}{2d}{MMM := array(SM); 1}{\[\]}
\end{mapleinput}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{rtable(1 .. 3, 1 .. 3, [[m[1, 1], m[1, 2], m[1, 3]], [m[2, 1], m[2, 2], m[2, 3]], [m[3, 1], m[3, 2], m[3, 3]]], subtype = Matrix)}{\[\displaystyle {\it rtable} \left( {1\ldots 3},{1\ldots 3},[[m_{{1\\
\mbox{},1}},m_{{1,2}},m_{{1,3}}],[m_{{2,1}},m_{{2,2}},m_{{2,3}}],[m_{{3,1}},m_{{3,2\\
\mbox{}}},m_{{3,3}}]],{\it subtype}={\it Matrix} \right) \]}
\end{maplelatex}
\end{maplegroup}
\begin{Maple Normal}{
\begin{Maple Normal}{
��������� ������:}\end{Maple Normal}

}\end{Maple Normal}

\begin{Maple Normal}{
\begin{Maple Normal}{
\mapleinline{inert}{2d}{gamma = evalf(gamma)}{\[\displaystyle \gamma={\it evalf} \left( \gamma \right) \]}
}\end{Maple Normal}
}\end{Maple Normal}
\begin{maplegroup}
\begin{Maple Normal}{
\mapleinline{inert}{2d}{gamma = evalf(gamma)}{\[\displaystyle \gamma={\it evalf} \left( \gamma \right) \]}
}\end{Maple Normal}
\mapleresult
\begin{maplelatex}
\mapleinline{inert}{2d}{gamma = .5772156649}{\[\displaystyle \gamma= 0.5772156649\]}
\end{maplelatex}
\end{maplegroup}
\begin{Maple Normal}{
\begin{Maple Normal}{
\mapleinline{inert}{2d}{}{\[\displaystyle \]}
}\end{Maple Normal}
}\end{Maple Normal}
\end{document}
