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\begin{patch}{MakeFunctionXmpPagePatch1}
\begin{paste}{MakeFunctionXmpPageFull1}{MakeFunctionXmpPageEmpty1}
\pastebutton{MakeFunctionXmpPageFull1}{\hidepaste}
\tab{5}\spadcommand{expr := (x - exp x + 1)**2 * (sin(x**2) * x + 1)**3\bound{expr }}
\indentrel{3}\begin{verbatim}
(1)
3 x 2 4 3 x 5 4 3 2 3
(x (%e ) + (- 2x - 2x )%e + x + 2x + x )sin(x )
+
2 x 2 3 2 x 4 3 2
(3x (%e ) + (- 6x - 6x )%e + 3x + 6x + 3x )
*
2 2
sin(x )
+
x 2 2 x 3 2 2
(3x (%e ) + (- 6x - 6x)%e + 3x + 6x + 3x)sin(x )
+
x 2 x 2
(%e ) + (- 2x - 2)%e + x + 2x + 1
Type: Expression Integer
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{MakeFunctionXmpPageEmpty1}
\begin{paste}{MakeFunctionXmpPageEmpty1}{MakeFunctionXmpPagePatch1}
\pastebutton{MakeFunctionXmpPageEmpty1}{\showpaste}
\tab{5}\spadcommand{expr := (x - exp x + 1)**2 * (sin(x**2) * x + 1)**3\bound{expr }}
\end{paste}\end{patch}
\begin{patch}{MakeFunctionXmpPagePatch2}
\begin{paste}{MakeFunctionXmpPageFull2}{MakeFunctionXmpPageEmpty2}
\pastebutton{MakeFunctionXmpPageFull2}{\hidepaste}
\tab{5}\spadcommand{function(expr, f, x)\bound{f }\free{expr }}
\indentrel{3}\begin{verbatim}
(2) f
Type: Symbol
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{MakeFunctionXmpPageEmpty2}
\begin{paste}{MakeFunctionXmpPageEmpty2}{MakeFunctionXmpPagePatch2}
\pastebutton{MakeFunctionXmpPageEmpty2}{\showpaste}
\tab{5}\spadcommand{function(expr, f, x)\bound{f }\free{expr }}
\end{paste}\end{patch}
\begin{patch}{MakeFunctionXmpPagePatch3}
\begin{paste}{MakeFunctionXmpPageFull3}{MakeFunctionXmpPageEmpty3}
\pastebutton{MakeFunctionXmpPageFull3}{\hidepaste}
\tab{5}\spadcommand{tbl := [f(0.1 * i - 1) for i in 0..20];\free{f }\bound{tbl }}
\indentrel{3}\begin{verbatim}
Type: List Float
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{MakeFunctionXmpPageEmpty3}
\begin{paste}{MakeFunctionXmpPageEmpty3}{MakeFunctionXmpPagePatch3}
\pastebutton{MakeFunctionXmpPageEmpty3}{\showpaste}
\tab{5}\spadcommand{tbl := [f(0.1 * i - 1) for i in 0..20];\free{f }\bound{tbl }}
\end{paste}\end{patch}
\begin{patch}{MakeFunctionXmpPagePatch4}
\begin{paste}{MakeFunctionXmpPageFull4}{MakeFunctionXmpPageEmpty4}
\pastebutton{MakeFunctionXmpPageFull4}{\hidepaste}
\tab{5}\spadcommand{e := (x - y + 1)**2 * (x**2 * y + 1)**2\bound{e }}
\indentrel{3}\begin{verbatim}
(4)
4 4 5 4 2 3
x y + (- 2x - 2x + 2x )y
+
6 5 4 3 2 2
(x + 2x + x - 4x - 4x + 1)y
+
4 3 2 2
(2x + 4x + 2x - 2x - 2)y + x + 2x + 1
Type: Polynomial Integer
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{MakeFunctionXmpPageEmpty4}
\begin{paste}{MakeFunctionXmpPageEmpty4}{MakeFunctionXmpPagePatch4}
\pastebutton{MakeFunctionXmpPageEmpty4}{\showpaste}
\tab{5}\spadcommand{e := (x - y + 1)**2 * (x**2 * y + 1)**2\bound{e }}
\end{paste}\end{patch}
\begin{patch}{MakeFunctionXmpPagePatch5}
\begin{paste}{MakeFunctionXmpPageFull5}{MakeFunctionXmpPageEmpty5}
\pastebutton{MakeFunctionXmpPageFull5}{\hidepaste}
\tab{5}\spadcommand{function(e, g, [x, y])\free{e }}
\indentrel{3}\begin{verbatim}
(5) g
Type: Symbol
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{MakeFunctionXmpPageEmpty5}
\begin{paste}{MakeFunctionXmpPageEmpty5}{MakeFunctionXmpPagePatch5}
\pastebutton{MakeFunctionXmpPageEmpty5}{\showpaste}
\tab{5}\spadcommand{function(e, g, [x, y])\free{e }}
\end{paste}\end{patch}
\begin{patch}{MakeFunctionXmpPagePatch6}
\begin{paste}{MakeFunctionXmpPageFull6}{MakeFunctionXmpPageEmpty6}
\pastebutton{MakeFunctionXmpPageFull6}{\hidepaste}
\tab{5}\spadcommand{function(e, h, x, y)\free{e }\bound{h }}
\indentrel{3}\begin{verbatim}
(6) h
Type: Symbol
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{MakeFunctionXmpPageEmpty6}
\begin{paste}{MakeFunctionXmpPageEmpty6}{MakeFunctionXmpPagePatch6}
\pastebutton{MakeFunctionXmpPageEmpty6}{\showpaste}
\tab{5}\spadcommand{function(e, h, x, y)\free{e }\bound{h }}
\end{paste}\end{patch}
\begin{patch}{MakeFunctionXmpPagePatch7}
\begin{paste}{MakeFunctionXmpPageFull7}{MakeFunctionXmpPageEmpty7}
\pastebutton{MakeFunctionXmpPageFull7}{\hidepaste}
\tab{5}\spadcommand{m1 := squareMatrix [[1, 2], [3, 4]]\bound{m1 }}
\indentrel{3}\begin{verbatim}
�1 2�
(7) � �
�3 4�
Type: SquareMatrix(2,Integer)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{MakeFunctionXmpPageEmpty7}
\begin{paste}{MakeFunctionXmpPageEmpty7}{MakeFunctionXmpPagePatch7}
\pastebutton{MakeFunctionXmpPageEmpty7}{\showpaste}
\tab{5}\spadcommand{m1 := squareMatrix [[1, 2], [3, 4]]\bound{m1 }}
\end{paste}\end{patch}
\begin{patch}{MakeFunctionXmpPagePatch8}
\begin{paste}{MakeFunctionXmpPageFull8}{MakeFunctionXmpPageEmpty8}
\pastebutton{MakeFunctionXmpPageFull8}{\hidepaste}
\tab{5}\spadcommand{m2 := squareMatrix [[1, 0], [-1, 1]]\bound{m2 }}
\indentrel{3}\begin{verbatim}
� 1 0�
(8) � �
�- 1 1�
Type: SquareMatrix(2,Integer)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{MakeFunctionXmpPageEmpty8}
\begin{paste}{MakeFunctionXmpPageEmpty8}{MakeFunctionXmpPagePatch8}
\pastebutton{MakeFunctionXmpPageEmpty8}{\showpaste}
\tab{5}\spadcommand{m2 := squareMatrix [[1, 0], [-1, 1]]\bound{m2 }}
\end{paste}\end{patch}
\begin{patch}{MakeFunctionXmpPagePatch9}
\begin{paste}{MakeFunctionXmpPageFull9}{MakeFunctionXmpPageEmpty9}
\pastebutton{MakeFunctionXmpPageFull9}{\hidepaste}
\tab{5}\spadcommand{h(m1, m2)\free{h m1 m2 }}
\indentrel{3}\begin{verbatim}
�- 7836 8960 �
(9) � �
�- 17132 19588�
Type: SquareMatrix(2,Integer)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{MakeFunctionXmpPageEmpty9}
\begin{paste}{MakeFunctionXmpPageEmpty9}{MakeFunctionXmpPagePatch9}
\pastebutton{MakeFunctionXmpPageEmpty9}{\showpaste}
\tab{5}\spadcommand{h(m1, m2)\free{h m1 m2 }}
\end{paste}\end{patch}
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