\label{func} %\subsection{Courbe de Bezier} \SbSSCT{Courbe de Bezier}{Bezier curve} \begin{tabular}{|c|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-2 2, subticks=0](0,0)(-2,-2)(2,2){2.5cm}{2.5cm } \psBezier1[showpoints=true]{<->}(-2,-1)(0,2) \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-2 2, subticks=0](0,0)(-2,-2)(2,2){2.5cm}{2.5cm } \psBezier2[showpoints=true]{<->}(-2,-1)(0,2)(2,1) \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-2 2, subticks=0](0,0)(-2,-2)(2,2){2.5cm}{2.5cm } \psBezier3[showpoints=true]{<->}(-2,-1)(0,2)(2,1)(1,-1) \end{psgraph*} \\ \hline \BSS{psBezier1} & \BSS{psBezier2} & \BSS{psBezier3} \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-2 2, subticks=0](0,0)(-2,-2)(2,2){2.5cm}{2.5cm } \psBezier4[showpoints=true]{<->}(-2,-1)(0,2)(2,1)(2,-1)(0,-2) \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-2 2, subticks=0](0,0)(-2,-2)(2,2){2.5cm}{2.5cm } \psBezier5[showpoints=true]{<->}(-2,-1)(0,2)(2,1)(2,-1)(0,-2)(-1,-1) \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-2 2, subticks=0](0,0)(-2,-2)(2,2){2.5cm}{2.5cm } \psBezier6[showpoints=true]{<->}(-2,-1)(0,2)(2,1)(2,-1)(0,-2)(-1,-1)(-2,1) \end{psgraph*} \\ \hline \BSS{psBezier4} & \BSS{psBezier5} & \BSS{psBezier6} \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-2 2, subticks=0](0,0)(-2,-2)(2,2){2.5cm}{2.5cm } \psBezier7[showpoints=true]{<->}(-2,-1)(0,2)(2,1)(2,-1)(0,-2)(-1,-1)(-2,1)(-1,2) \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-2 2, subticks=0](0,0)(-2,-2)(2,2){2.5cm}{2.5cm } \psBezier8[showpoints=true]{<->}(-2,-1)(0,2)(2,1)(2,-1)(0,-2)(-1,-1)(-2,1)(-1,2)(1,1) \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-2 2, subticks=0](0,0)(-2,-2)(2,2){2.5cm}{2.5cm } \psBezier9[showpoints=true]{<->}(-2,-1)(0,2)(2,1)(2,-1)(0,-2)(-1,-1)(-2,1)(-1,2)(1,1)(1,0) \end{psgraph*} \\ \hline \BSS{psBezier7} & \BSS{psBezier8} & \BSS{psBezier9} \\ \hline \end{tabular} \newpage %============================ %\subsection{Polynôme de Chebyshev } \SbSSCT{Polynôme de Chebyshev }{Chebyshev polynomial} \subsubsection{Polynôme de première espèce} \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|c|}{ \BS{psplot}\AC{-1}\AC{1}\AC{1 x \BSS{ChebyshevT} } \BSI{ChebyshevT}{pst-func} } \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= -1.5 1.5 ,yticksize=-1.5 1.5 , subticks=0 ](0,0)(-1.5,-1.5)(1.5,1.5){3.5cm}{3.5cm} \psplot{-1}{1}{1 x \ChebyshevT} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -1.5 1.5 ,yticksize=-1.5 1.5 , subticks=0](0,0)(-1.5,-1.5)(1.5,1.5){3.5cm}{3.5cm} \psplot{-1}{1}{3 x \ChebyshevT} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -1.5 1.5 ,yticksize=-1.5 1.5 , subticks=0](0,0)(-1.5,-1.5)(1.5,1.5){3.5cm}{3.5cm} \psplot{-1}{1}{6 x \ChebyshevT} \end{psgraph*} \\ \hline 1 x \BSS{ChebyshevT} & 3 x \BSS{ChebyshevT} & 6 x \BSS{ChebyshevT} \\ \hline \end{tabular} \subsubsection{Polynôme de deuxième espèce } \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|c|}{ \BS{psplot}\AC{-1}\AC{1}\AC{1 x \BSS{ChebyshevU} } \BSI{ChebyshevU}{pst-func} } \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= -1.5 1.5 ,yticksize=-1.5 1.5 , subticks=0 ](0,0)(-1.5,-1.5)(1.5,1.5){3.5cm}{3.5cm} \psplot{-1}{1}{1 x \ChebyshevU} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -1.5 1.5 ,yticksize=-1.5 1.5 , subticks=0](0,0)(-1.5,-1.5)(1.5,1.5){3.5cm}{3.5cm} \psplot{-1}{1}{3 x \ChebyshevU} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -1.5 1.5 ,yticksize=-1.5 1.5 , subticks=0](0,0)(-1.5,-1.5)(1.5,1.5){3.5cm}{3.5cm} \psplot{-1}{1}{6 x \ChebyshevU} \end{psgraph*} \\ \hline 1 x \BSS{ChebyshevU} & 3 x \BSS{ChebyshevU} & 6 x \BSS{ChebyshevU} \\ \hline \end{tabular} %ù+++++++++++++ \newpage %\subsection{Fonction polynomiale} \SbSSCT{Fonction polynomiale}{Function plynomial} \begin{tabular}{|c|c|c|c|} \hline \multicolumn{4}{|c|}{ \BSS{psPolynomial}[coeff= 1 ]\AC{-2}\AC{2} \BSI{psPolynomial}{pst-func} } \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-2 2, subticks=0](0,0)(-2,-2)(2,2){2.5cm}{2.5cm } \psPolynomial[coeff= 1 ]{-2}{2} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-2 2, subticks=0](0,0)(-2,-2)(2,2){2.5cm}{2.5cm } \psPolynomial[coeff= 0 1 ]{-2}{4} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-2 2, subticks=0](0,0)(-2,-2)(2,2){2.5cm}{2.5cm } \psPolynomial[coeff=0 0 1 ]{-2}{4} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-2 2, subticks=0](0,0)(-2,-2)(2,2){2.5cm}{2.5cm } \psPolynomial[coeff=0 0 0 1 ]{-2}{4} \end{psgraph*} \\ \hline \RDD{coeff}= 1 & \RDD{coeff}=0 1 & \RDD{coeff}=0 1 & \RDD{coeff}=0 0 01 \RDI{coeff}{pst-func} \\ $f(x)=1$ & $f(x)=x$ & $f(x)=x^2$ & $f(x)=x^3 $ \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-2 4, subticks=0](0,0)(-2,-2)(4,2){4cm}{3cm } \psPolynomial[coeff=0 0 0 1 ]{-2}{4} \psPolynomial[coeff=0 0 0 1 ,linecolor=red,xShift=2 ]{-2}{4} \end{psgraph*} \\ \hline \BS{psPolynomial}[coeff=0 0 0 1 ,linecolor=red,\RDD{xShift}=2 ]\AC{-2}\AC{4} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|c|}{ \BSS{psPolynomial}[coeff=0 0 0 0 0 1 ,linecolor=red,\RDD{Derivation}=1 ]\AC{-2}\AC{2} \RDI{Derivation}{pst-func} } \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-2 2, subticks=0](0,0)(-2,-2)(2,2){3.5cm}{3.5cm} \psPolynomial[coeff=0 0 0 0 0 1 ]{-2}{4} \psPolynomial[coeff=0 0 0 0 0 1 ,linecolor=red,Derivation=1 ]{-2}{4} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-2 2, subticks=0](0,0)(-2,-2)(2,2){3.5cm}{3.5cm} \psPolynomial[coeff=0 0 0 0 0 1 ]{-2}{4} \psPolynomial[coeff=0 0 0 0 0 1 ,linecolor=red,Derivation= 2 ]{-2}{4} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-2 2, subticks=0](0,0)(-2,-2)(2,2){3.5cm}{3.5cm} \psPolynomial[coeff=0 0 0 0 0 1 ]{-2}{4} \psPolynomial[coeff=0 0 0 0 0 1 ,linecolor=red,Derivation= 3 ]{-2}{4} \end{psgraph*} \\ \hline \RDD{Derivation}= 1 & \RDD{Derivation}= 2 & \RDD{Derivation}= 3 \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-3 3, subticks=0](0,0)(-3,-2)(3,2){6cm}{4cm } \psPolynomial[markZeros,dotscale=3,coeff=1 1 -1 -.5 0.15]{-3}{3}% \end{psgraph*} \\ \hline \BS{psPolynomial}[\RDD{markZeros},dotscale=3,coeff=1 1 -1 -.5 0.15]\AC{-3}\AC{3}% \\ \hline \end{tabular} %---------------------- \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -3 2 ,yticksize=-3 3, subticks=0](0,0)(-3,-3)(3,2){8cm}{5cm } \psPolynomial[markZeros,dotscale=2,zeroLineTo=1,coeff=1 1 -1 -.5 0.15]{-3}{3}% \psPolynomial[linestyle=dotted,Derivation=1,coeff=1 1 -1 -.5 0.15]{-3}{3}% \end{psgraph*} \\ \hline \BS{psPolynomial}[markZeros,\RDD{zeroLineTo}=1,coeff=1 1 -1 -.5 0.15]\AC{-3}\AC{3} \\ \BS{psPolynomial}[linestyle=dotted,Derivation=1,coeff=1 1 -1 -.5 0.15]\AC{-3}\AC{3} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -1 2 ,yticksize=-2 2, subticks=0](0,0)(-2,-1)(2,2){8cm}{4cm } \psPolynomial[coeff=1 1 -1 -.5 0.15]{-3}{3}% \psPolynomial[markZeros,linestyle=dotted,Derivation=1,zeroLineTo=0,zeroLineTo=0,zeroLineStyle=solid,zeroLineColor=red,zeroLineWidth=3pt,coeff=1 1 -1 -.5 0.15]{-3}{3}% \end{psgraph*} \\ \hline \BS{psPolynomial}[coeff=1 1 -1 -.5 0.15]\AC{-3}\AC{3} \\ \BS{psPolynomial}[markZeros,linestyle=dotted,Derivation=1,zeroLineTo=0,\\ \RDD{zeroLineStyle}=solid,\RDD{zeroLineColor}=red,\RDD{zeroLineWidth}=3pt,\\ coeff=1 1 -1 -.5 0.15]\AC{-3}\AC{3} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -1 2 ,yticksize=-3 3, subticks=0](0,0)(-2,-1)(1,2){8cm}{4cm } \psPolynomial[coeff=1 1 -1 -.5 0.15]{-2}{1}% \psPolynomial[markZeros,linestyle=dotted,Derivation=2,zeroLineTo=0,zeroLineStyle=solid,zeroLineColor=red,zeroLineWidth=3pt,coeff=1 1 -1 -.5 0.15]{-2}{1}% \end{psgraph*} \\ \hline \BS{psPolynomial}[coeff=1 1 -1 -.5 0.15]\AC{-3}\AC{3} \\ \BS{psPolynomial}[markZeros,linestyle=dotted,Derivation=2,zeroLineTo=0,\\ \hspace{1cm} \RDD{zeroLineStyle}=solid,\RDD{zeroLineColor}=red,\RDD{zeroLineWidth}=3pt,\\ coeff=1 1 -1 -.5 0.15]\AC{-3}\AC{3} \\ \hline \end{tabular} \newpage % \subsection{Polynôme de Bernstein} \SbSSCT{Polynôme de Bernstein}{Bernstein polynomial} \begin{tabular}{|c|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -.5 1.5 ,yticksize=-.5 1.5,xticksize= -.5 1.5 , dx=.5,Dx=.5, dy=.5,Dy=.5 , subticks=0] (0,0)(-.5,-.5)(1.5,1.5){3.5cm}{3.5cm } \psBernstein(0,0) \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -.5 1.5 ,yticksize=-.5 1.5,xticksize= -.5 1.5 , dx=.5,Dx=.5, dy=.5,Dy=.5 , subticks=0] (0,0)(-.5,-.5)(1.5,1.5){3.5cm}{3.5cm } \psBernstein(0,1) \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -.5 1.5 ,yticksize=-.5 1.5,xticksize= -.5 1.5 , dx=.5,Dx=.5, dy=.5,Dy=.5 , subticks=0] (0,0)(-.5,-.5)(1.5,1.5){3.5cm}{3.5cm } \psBernstein(1,1) \end{psgraph*} \\ \hline \BSS{psBernstein}(0,0) \BSI{psBernstein}{pst-func} & \BSS{psBernstein}(0,1) & \BSS{psBernstein}(1,1) \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= -.5 1.5 ,yticksize=-.5 1.5,xticksize= -.5 1.5 , dx=.5,Dx=.5, dy=.5,Dy=.5 , subticks=0] (0,0)(-.5,-.5)(1.5,1.5){3.5cm}{3.5cm } \psBernstein(0,2) \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -.5 1.5 ,yticksize=-.5 1.5,xticksize= -.5 1.5 , dx=.5,Dx=.5, dy=.5,Dy=.5 , subticks=0] (0,0)(-.5,-.5)(1.5,1.5){3.5cm}{3.5cm } \psBernstein(1,2) \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -.5 1.5 ,yticksize=-.5 1.5,xticksize= -.5 1.5 , dx=.5,Dx=.5, dy=.5,Dy=.5 , subticks=0] (0,0)(-.5,-.5)(1.5,1.5){3.5cm}{3.5cm } \psBernstein(2,2) \end{psgraph*} \\ \hline \BSS{psBernstein}(0,2) & \BSS{psBernstein}(1,2) & \BSS{psBernstein}(2,2) \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= -.5 1.5 ,yticksize=-.5 1.5,xticksize= -.5 1.5 , dx=.5,Dx=.5, dy=.5,Dy=.5 , subticks=0] (0,0)(-.5,-.5)(1.5,1.5){3.5cm}{3.5cm } \psBernstein(0,3) \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -.5 1.5 ,yticksize=-.5 1.5,xticksize= -.5 1.5 , dx=.5,Dx=.5, dy=.5,Dy=.5 , subticks=0] (0,0)(-.5,-.5)(1.5,1.5){3.5cm}{3.5cm } \psBernstein(1,3) \psBernstein[linestyle=dotted](2,3) \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -.5 1.5 ,yticksize=-.5 1.5,xticksize= -.5 1.5 , dx=.5,Dx=.5, dy=.5,Dy=.5 , subticks=0] (0,0)(-.5,-.5)(1.5,1.5){3.5cm}{3.5cm } \psBernstein(3,3) \end{psgraph*} \\ \hline \BSS{psBernstein}(0,3) & \BSS{psBernstein}(1,3) & \BSS{psBernstein}(3,3)\\ & \BSS{psBernstein}(2,3) & \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 1 , dx=.2,Dx=.2, dy=.2,Dy=.2 , subticks=0](0,0)(0,0)(1,1){12cm}{4cm } \psBernstein[linestyle=dotted](5,5) \psBernstein[linestyle=dotted](4,5) \psBernstein[linestyle=dotted](3,5) \psBernstein[linestyle=dotted](2,5) \psBernstein[linestyle=dotted](1,5) \psBernstein[linestyle=dotted](0,5) \psBernstein[envelope](0.1,5) \end{psgraph*} \\ \hline \BS{psBernstein}[\RDD{envelope}](0,5) \RDI{envelope}{pst-func} \\ \hline \end{tabular} \newpage %\subseZeroction{Zéros d'une fonction ou point d'intersection de deux fonction} \SbSSCT{Zéros d'une fonction ou point d'intersection de deux fonction}{Zeros or intersections} \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -1 2 ,yticksize=0 10](0,0)(0,-1)(10,2){10cm}{3cm} \psplot[plotpoints=500,algebraic,linewidth=0.8pt]{0.001}{9.75}{cos(x)+.5} \psZero[algebraic](0.5,5){cos(x)+.5}{A} % \psComment{->}(3,1)(N1){noeud N1} \rput[B](3,1.5){ \ovalnode{B}{n\oe ud A}} \ncline{->}{B}{A} \end{psgraph*} \\ \hline \BSS{psZero}[algebraic](0.5,5)\AC{cos(x)+.5}\AC{A} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -1 2 ,yticksize=0 10](0,0)(0,-1)(10,2){10cm}{3cm} \psplot[plotpoints=500,algebraic,linestyle=dotted]{0.001}{9.75}{sin(x)} \psplot[plotpoints=500,algebraic,linewidth=0.8pt]{0.001}{9.75}{cos(x)+.5} \psZero[algebraic](3,5){cos(x)+.5}[sin(x)]{N1} % \psComment{->}(3,1)(N1){noeud N1} \rput[B](3,1.5){ \ovalnode{B}{n\oe ud N1}} \ncline{->}{B}{N1} \end{psgraph*} \\ \hline \BSS{psZero}[algebraic](0.5,5)\AC{cos(x)+.5}[sin(x)]\AC{N1} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ \BSS{psZero}[algebraic,\RDD{markZeros}](0.5,5)\AC{cos(x)+.5[sin(x)]}\AC{A} } \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= -1 2 ,yticksize=0 4](0,0)(0,-1)(4,2){4cm}{3cm} \psplot[plotpoints=500,algebraic,linewidth=.1pt]{0.001}{9.75}{sin(x)} \psplot[plotpoints=500,algebraic,linewidth=0.8pt]{0.001}{9.75}{cos(x)+.5} \psZero[algebraic,markZeros](0.5,5){cos(x)+.5}[sin(x)]{A} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -1 2 ,yticksize=0 4](0,0)(0,-1)(4,2){4cm}{3cm} \psplot[plotpoints=500,algebraic,linewidth=.1pt]{0.001}{9.75}{sin(x)} \psplot[plotpoints=500,algebraic,linewidth=0.8pt]{0.001}{9.75}{cos(x)+.5} \psZero[algebraic,markZeros,onlyNode](0.5,5){cos(x)+.5}[sin(x)]{A} \end{psgraph*} \\ \hline \RDD{ markZeros} \RDI{markZeros}{pst-func} & \RDD{onlyNode} \RDI{onlyNode}{pst-func} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline %\multicolumn{2}{|c|}{ \BSS{psZero}[algebraic,\RDD{markZeros}](0.5,5)\AC{cos(x)+.5[sin(x)]}\AC{A} } %\\ \hline \begin{psgraph*}[axesstyle=none,xticksize= -1 2 ,yticksize=0 4](0,0)(0,-1)(4,2){4cm}{3cm} \psplot[plotpoints=500,algebraic,linewidth=.1pt]{0.001}{9.75}{sin(x)} \psplot[plotpoints=500,algebraic,linewidth=0.8pt]{0.001}{9.75}{cos(x)+.5} \psZero[algebraic,PrintCoord](0.5,5){cos(x)+.5}[sin(x)]{A} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -1 2 ,yticksize=0 4](0,0)(0,-1)(4,2){4cm}{3cm} \psplot[plotpoints=500,algebraic,linewidth=.1pt]{0.001}{9.75}{sin(x)} \psplot[plotpoints=500,algebraic,linewidth=0.8pt]{0.001}{9.75}{cos(x)+.5} \psZero[algebraic,markZeros,onlyYVal](0.5,5){cos(x)+.5}[sin(x)]{A} \end{psgraph*} \\ \hline \RDD{PrintCoord} \RDI{PrintCoord}{pst-func} & \RDD{onlyYVal} \RDI{onlyYVal}{pst-func} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline %\multicolumn{2}{|c|}{ \BSS{psZero}[algebraic,\RDD{markZeros}](0.5,5)\AC{cos(x)+.5[sin(x)]}\AC{A} } %\\ \hline \begin{psgraph*}[axesstyle=none,xticksize= -1 2 ,yticksize=0 4](0,0)(0,-1)(4,2){4cm}{3cm} \psplot[plotpoints=500,algebraic,linewidth=.1pt]{0.001}{9.75}{sin(x)} \psplot[plotpoints=500,algebraic,linewidth=0.8pt]{0.001}{9.75}{cos(x)+.5} \psZero[algebraic,PointName=Point,PrintCoord](0.5,5){cos(x)+.5}[sin(x)]{A} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -1 2 ,yticksize=0 4](0,0)(0,-1)(4,2){4cm}{3cm} \psplot[plotpoints=500,algebraic,linewidth=.1pt]{0.001}{9.75}{sin(x)} \psplot[plotpoints=500,algebraic,linewidth=0.8pt]{0.001}{9.75}{cos(x)+.5} \psZero[algebraic,markZeros,originV,PrintCoord](0.5,5){cos(x)+.5}[sin(x)]{A} \end{psgraph*} \\ \hline \RDD{PointName},PrintCoord \RDI{PointName}{pst-func} & \RDD{originV},PrintCoord \RDI{originV}{pst-func} \\ \hline \dft: PointName= I & \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline %\multicolumn{2}{|c|}{ \BSS{psZero}[algebraic,\RDD{markZeros}](0.5,5)\AC{cos(x)+.5[sin(x)]}\AC{A} } %\\ \hline \begin{psgraph*}[axesstyle=none,xticksize= -1 2 ,yticksize=0 4](0,0)(0,-1)(4,2){4cm}{3cm} \psplot[plotpoints=500,algebraic,linewidth=.1pt]{0.001}{9.75}{sin(x)} \psplot[plotpoints=500,algebraic,linewidth=0.8pt]{0.001}{9.75}{cos(x)+.5} \psZero[algebraic,PrintCoord,decimals=3](0.5,5){cos(x)+.5}[sin(x)]{A} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -1 2 ,yticksize=0 4](0,0)(0,-1)(4,2){4cm}{3cm} \psplot[plotpoints=500,algebraic,linewidth=.1pt]{0.001}{9.75}{sin(x)} \psplot[plotpoints=500,algebraic,linewidth=0.8pt]{0.001}{9.75}{cos(x)+.5} \psZero[algebraic,markZeros,PrintCoord,ydecimals=4](0.5,5){cos(x)+.5}[sin(x)]{A} \end{psgraph*} \\ \hline \RDD{decimals}=3,PrintCoord \RDI{originV}{pst-func}& \RDD{ydecimals}=4,PrintCoord \RDI{ydecimals}{pst-func} %\\ \hline %\dft: PointName= I & \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline %\multicolumn{2}{|c|}{ \BSS{psZero}[algebraic,\RDD{markZeros}](0.5,5)\AC{cos(x)+.5[sin(x)]}\AC{A} } %\\ \hline \begin{psgraph*}[axesstyle=none,xticksize= -1 2 ,yticksize=0 4](0,0)(0,-1)(4,2){4cm}{3cm} \psplot[plotpoints=500,algebraic,linewidth=.1pt]{0.001}{9.75}{sin(x)} \psplot[plotpoints=500,algebraic,linewidth=0.8pt]{0.001}{9.75}{cos(x)+.5} \psZero[algebraic,PrintCoord,xShift=.5](0.5,5){cos(x)+.5}[sin(x)]{A} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -1 2 ,yticksize=0 4](0,0)(0,-1)(4,2){4cm}{3cm} \psplot[plotpoints=500,algebraic,linewidth=.1pt]{0.001}{9.75}{sin(x)} \psplot[plotpoints=500,algebraic,linewidth=0.8pt]{0.001}{9.75}{cos(x)+.5} \psZero[algebraic,markZeros,PrintCoord,yShift=.5](0.5,5){cos(x)+.5}[sin(x)]{A} \end{psgraph*} \\ \hline \RDD{xShift}=.5,PrintCoord \RDI{xShift}{pst-func} & \RDD{yShift}=.5,PrintCoord \RDI{yShift}{pst-func} %\\ \hline %\dft: PointName= I & \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline %\multicolumn{2}{|c|}{ \BSS{psZero}[algebraic,\RDD{markZeros}](0.5,5)\AC{cos(x)+.5[sin(x)]}\AC{A} } %\\ \hline \begin{psgraph*}[axesstyle=none,xticksize= -1 2 ,yticksize=0 4](0,0)(0,-1)(4,2){4cm}{3cm} \psplot[plotpoints=500,algebraic,linewidth=.1pt]{0.001}{9.75}{sin(x)} \psplot[plotpoints=500,algebraic,linewidth=0.8pt]{0.001}{9.75}{cos(x)+.5} \psZero[algebraic,PrintCoord,yShift=.5,,postString=123](0.5,5){cos(x)+.5}[sin(x)]{A} \end{psgraph*} & %\begin{psgraph*}[axesstyle=none,xticksize= -1 2 ,yticksize=0 4](0,0)(0,-1)(4,2){4cm}{3cm} %% \psplot[plotpoints=500,algebraic,linewidth=.1pt]{0.001}{9.75}{sin(x)} % \psplot[plotpoints=500,algebraic,linewidth=0.8pt]{0.001}{9.75}{cos(x)+.5} % \psZero[xShift=-0.2,yShift=0.15,postString=1,Newton](0.5,5){ x cos }{A} %\end{psgraph*} \\ \hline \RDD{postString}=123,PrintCoord \RDI{postString}{pst-func} & % \RDD{yShift}=.5,PrintCoord \RDI{yShift}{pst-func} %\\ \hline %\dft: PointName= I & \\ \hline \end{tabular} \newpage %\subsection{Fonction de Fourier} \SbSSCT{Fonction de Fourier}{Fourrier} \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -3 3 ,yticksize=-10 10 , subticks=0 ](0,0)(-10,-3)(10,3){10cm}{6cm } \psFourier[cosCoeff=0 1 -1 ]{-10}{10} \end{psgraph*} \\ \hline \BSS{psFourier}[\RDD{cosCoeff}=0 1 -1 ]\AC{-10}\AC{10} \BSI{psFourier}{pst-func} \RDI{cosCoeff}{pst-func} \\ \hline \dft : cosCoeff =0 \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-5 5 , subticks=0 ](0,0)(-5,-2)(5,2){10cm}{4cm } \psFourier[sinCoeff=1 .5 .33 .25 .2 .165 .14 .125 ]{-5}{5} \end{psgraph*} \\ \hline \BSS{psFourier}[\RDD{sinCoeff}=1 .5 .33 .25 .2 .165 .14 .125 ]\AC{-5}\AC{5} \RDI{sinCoeff}{pst-func} \\ \hline \dft : sinCoeff =1 \\ \hline \end{tabular} \newpage %\subsection{Fonction de Bessel} \SbSSCT{Fonction de Bessel}{Bessel} \begin{tabular}{|c|} \hline $\displaystyle J_n(x)=\frac{1}{\pi} \int_0^\pi \cos (x \sin t-nt) dt$ \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= -1.5 1.5 ,yticksize=-20 20 , subticks=0,Dx=5 ](0,0)(-20,-1.5)(20,1.5){10cm}{4cm } \psBessel{0}{-20}{20} \end{psgraph*} \\ \hline n= 0 \hspace{1cm} \BSS{psBessel}\AC{0}\AC{-20}\AC{20} \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= -1.5 1.5 ,yticksize=-20 20 , subticks=0,Dx=5 ](0,0)(-20,-1.5)(20,1.5){10cm}{4cm } \psBessel{2}{-20}{20} \end{psgraph*} \\ \hline n= 2 \hspace{1cm} \BSS{psBessel}\AC{2}\AC{-20}\AC{20} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline $\displaystyle f(x)=2.5 J_0(x) +sin(t)$ \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= -3 3 ,yticksize=-20 20 , subticks=0,Dx=5 ](0,0)(-20,-3)(20,3){10cm}{4cm } \psBessel[constI=2.5,constII={ t k sin }]{0}{-20}{20}% \end{psgraph*} \\ \hline \BS{psBessel}[\RDD{constI}=2.5,\RDD{constII}=\AC{ t k sin }]\AC{0}\AC{-20}\AC{20} \RDI{constI}{pst-func} \RDI{constII}{pst-func} \\ \hline \end{tabular} \newpage %\subsection{Fonction de Bessel modifiée} \SbSSCT{Fonction de Bessel modifiée}{modified Bessel} \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|c|}{\BSS{psModBessel}[yMaxValue=5,\RDD{nue}=0]\AC{0}\AC{5} \BSI{psModBessel}{pst-func} \RDI{nue}{pst-func}} \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 5 ,yticksize=0 5](0,0)(0,0)(4,5){3.5cm}{5cm} \psModBessel[yMaxValue=5,nue=0]{0}{5} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 5 ,yticksize=0 5](0,0)(0,0)(4,5){3.5cm}{5cm} \psModBessel[yMaxValue=5,nue=1]{0}{5} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 5 ,yticksize=0 5](0,0)(0,0)(4,5){3.5cm}{5cm} \psModBessel[yMaxValue=5,nue=2]{0}{5} \end{psgraph*} \\ \hline \RDD{nue}=0 & \RDD{nue}=1 & \RDD{nue}= 2 \\ \hline \multicolumn{3}{|c|}{\dft : nue=0} \\ \hline \end{tabular} \newpage %\subsection{Sinus intégral} \SbSSCT{Sinus intégral}{Integral sinus} \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-14 14, dx=2,Dx=2](0,0)(-14,-2)(14,2){10cm}{3cm} \psSi{-14.5}{14.5} \end{psgraph*} \\ \hline \BSS{psSi}\AC{-14.5}\AC{14.5} \BSI{psSi}{pst-func} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -4 1 ,yticksize=-14 14, dx=2,Dx=2](0,0)(-14,-4)(14,1){10cm}{3cm} \pssi{-14.5}{14.5} \end{psgraph*} \\ \hline \BSS{pssi}\AC{-14.5}\AC{14.5} \BSI{pssi}{pst-func} \\ \hline \end{tabular} %\subsection{Cosinus intégral} \SbSSCT{Cosinus intégral}{Integral cosinus} \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -4 1 ,yticksize=-12 12 , dx=2,Dx=2](0,0)(-12,-4)(12,1){10cm}{3cm} \psCi[plotpoints=500]{-11.5}{11.5} \end{psgraph*} \\ \hline \BSS{psCi}\AC{-11.5}\AC{11.5} \BSI{psCi}{pst-func} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 4 ,yticksize=-12 12 , dx=2,Dx=2](0,0)(-12,0)(12,4){10cm}{3cm} \psci[plotpoints=500]{-11.5}{11.5} \end{psgraph*} \\ \hline \BSS{psci}\AC{-11.5}\AC{11.5} \BSI{psci}{pst-func} \\ \hline \end{tabular} \newpage %\subsection{Intégration et Convolution} \SbSSCT{Intégration et Convolution}{Integration and convolution } \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-6 6 , dx=2,Dx=2, dy=.5,Dy=.5](0,0)(-6,0)(6,1){10cm}{3cm} \psplot[linestyle=dotted]{-6}{6}{x 0 2 GAUSS} \psCumIntegral{-6}{6}{0 2 GAUSS} \end{psgraph*} \\ \hline \BS{psplot}[linestyle=dotted]\AC{-6}\AC{6}\AC{x 0 2 GAUSS} \\ \BSS{psCumIntegral}\AC{-10}\AC{10}\AC{0 2 GAUSS} \BSI{psCumIntegral}{pst-func} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-6 6 , dx=2,Dx=2, dy=.5,Dy=.5](0,0)(-6,0)(6,1){10cm}{3cm} \psplot[linestyle=dotted]{-6}{6}{x 0 2 GAUSS} \psCumIntegral{0}{6}{0 2 GAUSS} \end{psgraph*} \\ \hline \BSS{psCumIntegral}\AC{0}\AC{6}\AC{0 2 GAUSS} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-6 6 , dx=2,Dx=2, dy=.5,Dy=.5](0,0)(-6,0)(6,1){10cm}{3cm} \psplot[linestyle=dotted]{-6}{6}{x 0 .5 GAUSS} \psIntegral{-6}{6}(-2,4){.5 GAUSS} \end{psgraph*} \\ \hline \BSS{psIntegral}\AC{-2}\AC{4}\AC{.5 GAUSS} \BSI{psIntegral}{pst-func} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-6 6 , dx=2,Dx=2, dy=.5,Dy=.5](0,0)(-6,0)(6,1){10cm}{3cm} \psplot[linestyle=dotted]{-6}{6}{x 0 .5 GAUSS} \psIntegral[Simpson=10]{-6}{6}(-2,4){.5 GAUSS} \end{psgraph*} \\ \hline \BS{psIntegral}[\RDD{Simpson}=10]\AC{-2}\AC{4}\AC{.5 GAUSS} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1.5 ,yticksize=-6 6 , dx=2,Dx=2, dy=.5,Dy=.5](0,0)(-6,0)(6,1.5){10cm}{3cm} \psplot[linestyle=dashed]{-5}{5}{x abs 2 le {0.5}{0} ifelse} \psplot[linestyle=dotted]{-5}{5}{x abs 1 le {0.75}{0} ifelse} \psConv{-5}{5}(-6,6) {abs 2 le {0.5}{0} ifelse}{abs 2 le {0.75}{0} ifelse} \end{psgraph*} \\ \hline \BS{psplot}[linestyle=dashed]\AC{-5}\AC{5}\AC{x abs 2 le {0.5}{0} ifelse} \\ \BS{psplot}[linestyle=dotted]\AC{-5}\AC{5}\AC{x abs 1 le {0.75}{0} ifelse} \\ \BSS{psConv}\AC{-5}\AC{5}\AC(-6,6) \AC{abs 2 le {0.5}{0} ifelse}\AC{abs 2 le {0.75}{0} ifelse} \BSI{psConv}{pst-func} \\ \hline \end{tabular} %==================== \newpage %\subsection{Loi de Gauss} \SbSSCT{Loi de Gauss}{Gauss Distribution} \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -5 1 ,yticksize=-12 12 , subticks=0 ](0,0)(-2,0)(2,1){6cm}{2cm } \psGauss{-2}{2}% \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -5 1 ,yticksize=-12 12 , subticks=0 ](0,0)(-2,0)(2,1){6cm}{2cm } \psGaussI{-2}{2}% \end{psgraph*} \\ \hline \BSS{psGauss}\AC{-2}\AC{2} \BSI{psGauss}{pst-func} & \BSS{psGaussI}\AC{-2}\AC{2} \BSI{psGaussI}{pst-func} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -5 1 ,yticksize=-12 12 , subticks=0 ](0,0)(-2,0)(2,1){6cm}{2cm } \psGauss[linestyle=dotted]{-2}{2}% \psGauss[mue=0.5]{-2}{2}% \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -5 1 ,yticksize=-12 12 , subticks=0 ](0,0)(-2,0)(2,1){6cm}{2cm } \psGauss[linestyle=dotted]{-2}{2}% \psGauss[mue=-.5]{-2}{2}% \end{psgraph*} \\ \hline \BSS{psGauss}[\RDD{mue}=0.5]\AC{-2}\AC{2} \RDI{mue}{pst-func} & \BSS{psGauss}[\RDD{mue}=0.5]\AC{-2}\AC{2} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 2 ,yticksize=-2 2 , subticks=0 ](0,0)(-2,0)(2,2){6cm}{2cm } \psGauss[linestyle=dotted]{-2}{2}% \psGauss[sigma=.25]{-2}{2}% \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 2 ,yticksize=-2 2 , subticks=0 ](0,0)(-2,0)(2,2){6cm}{2cm } \psGauss[linestyle=dotted]{-2}{2}% \psGauss[sigma=1]{-2}{2}% \end{psgraph*} \\ \hline \BSS{psGauss}[\RDD{sigma}=0.25]\AC{-2}\AC{2} \RDI{sigma}{pst-func} & \BSS{psGauss}[\RDD{sigma}=1]\AC{-2}\AC{2} \\ \hline \end{tabular} \newpage %\subsection{Loi binomiale} \SbSSCT{Loi binomiale}{Binomial Distribution} \begin{tabular}{|c|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 3 , subticks=0, dy=.2,Dy=.2](0,0)(-1,0)(3,1){3cm}{2cm } \psBinomial{2}{0.5} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(3,1){3cm}{2cm } \psBinomial{2}{0.25} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(3,1){3cm}{2cm } \psBinomial{2}{0.75} \end{psgraph*} \\ \hline \BSS{psBinomial}\AC{2}\AC{0.5} \BSI{psBinomial}{pst-func} & \BSS{psBinomial}\AC{2}\AC{0.25} & \BSS{psBinomial}\AC{2}\AC{0.75} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){5cm}{2cm } \psBinomial{3}{0.5} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){5cm}{2cm } \psBinomial{4}{0.5} \end{psgraph*} \\ \hline \BSS{psBinomial}\AC{3}\AC{0.5} & \BSS{psBinomial}\AC{4}\AC{0.5} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){5cm}{2cm } \psBinomial[linestyle=dotted]{4}{0.5} \psBinomial{2,4}{0.5} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){5cm}{2cm } \psBinomial[linestyle=dotted]{4}{0.5} \psBinomial{1,2,4}{0.5} \end{psgraph*} \\ \hline \BSS{psBinomial}\AC{2,4}\AC{0.5} & \BSS{psBinomial}\AC{1,2,4}\AC{0.5} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-3 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(-3,0)(3,1){5cm}{2cm } \psBinomialN{3}{0.5} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-3 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(-3,0)(3,1){5cm}{2cm } \psBinomialN{4}{0.5} \end{psgraph*} \\ \hline \BSS{psBinomialN}\AC{3}\AC{0.5} \BSI{psBinomialN}{pst-func} & \BSS{psBinomialN}\AC{4}\AC{0.5} \\ \hline \end{tabular} \newpage \subsubsection{paramètres} \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){5cm}{2cm } \psBinomial[printValue]{3}{0.5} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){5cm}{2cm } \psBinomial[markZeros]{4}{0.5} \end{psgraph*} \\ \hline \BSS{psBinomial}[\RDD{printValue}]\AC{3}\AC{0.5} \RDI{printValue}{pst-func} & \BS{psBinomial}[\RDD{markZeros}]\AC{4}\AC{0.5} \RDI{markZeros}{pst-func} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){5cm}{2cm } \psBinomial[fillcolor=yellow,fillstyle=solid,]{3}{0.5} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){5cm}{2cm } \psBinomial[barwidth=0.5]{4}{0.5} \end{psgraph*} \\ \hline \BSS{psBinomial}[fillcolor=yellow]\AC{3}\AC{0.5} & \BS{psBinomial}[\RDD{barwidth}=0.5]\AC{4}\AC{0.5} \RDI{barwidth}{pst-func} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){5cm}{2cm } \psBinomial[fillstyle=vlines,markZeros]{3}{0.5} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){5cm}{2cm } \psBinomial[barwidth=0.5,markZeros]{4}{0.5} \end{psgraph*} \\ \hline [fillstyle=vlines,,markZeros] & [barwidth=0.5,markZeros] \\ \hline \end{tabular} \newpage %\subsection{Loi de Poisson} \SbSSCT{Loi de Poisson}{Poisson Distribution} \begin{tabular}{|c|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(3,1){3cm}{2cm } \psPoisson{2}{1} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){3cm}{2cm } \psPoisson{3}{1} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){3cm}{2cm } \psPoisson{4}{1} \end{psgraph*} \\ \hline \BSS{psPoisson}\AC{2}\AC{1} \BSI{psPoisson}{pst-func} & \BSS{psPoisson}\AC{3}\AC{1} & \BSS{psPoisson}\AC{4}\AC{1} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){3cm}{2cm } \psPoisson{4}{2} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){3cm}{2cm } \psPoisson{4}{3} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){3cm}{2cm } \psPoisson{4}{4} \end{psgraph*} \\ \hline \BSS{psPoisson}\AC{4}\AC{2} & \BSS{psPoisson}\AC{4}\AC{3} & \BSS{psPoisson}\AC{4}\AC{4} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){3cm}{2cm } \psPoisson[linestyle=dotted]{4}{2} \psPoisson{1,4}{2} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){3cm}{2cm } \psPoisson[linestyle=dotted]{4}{2} \psPoisson{2,4}{2} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){3cm}{2cm } \psPoisson[linestyle=dotted]{4}{2} \psPoisson{3,4}{2} \end{psgraph*} \\ \hline \BSS{psPoisson}\AC{1,4}\AC{2} & \BSS{psPoisson}\AC{2,4}\AC{2} & \BSS{psPoisson}\AC{3,4}\AC{2} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){3cm}{2cm } \psPoisson[markZeros]{4}{2} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){3cm}{2cm } \psPoisson[printValue]{4}{2} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-1 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(-1,0)(5,1){3cm}{2cm } \psPoisson[barwidth=0.5]{4}{2} \end{psgraph*} \\ \hline \BS{psPoisson}[\RDD{markZeros}]\AC{4}\AC{2} & \BS{psPoisson}[\RDD{printValue}]\AC{4}\AC{2} & \BS{psPoisson}[\RDD{barwidth}=0.5]\AC{4}\AC{2} \\ \hline \end{tabular} \newpage %\subsection{Loi Gamma } \SbSSCT{Loi Gamma}{Gamma Distribution} \begin{center} \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 3.5 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3.5,1){5cm}{3cm } \psGammaDist{0.1}{3} \end{psgraph*} \\ \hline \BSS{psGammaDist}\AC{0.1}\AC{3} \BSI{psGammaDist}{pst-func} \\ \hline \end{tabular} \end{center} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 3.5 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3.5,1){5cm}{3cm } \psGammaDist[linestyle=dotted]{0.1}{3} \psGammaDist[alpha=0.25]{0.1}{3} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 3.5 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3.5,1){5cm}{3cm } \psGammaDist[linestyle=dotted]{0.1}{3} \psGammaDist[alpha=0.75]{0.1}{3} \end{psgraph*} \\ \hline \BS{psGammaDist}[\RDD{alpha}=0.25]\AC{0.1}\AC{3} \RDI{alpha}{pst-func} & \BS{psGammaDist}[\RDD{alpha}=0.75]\AC{0.1}\AC{3} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 3.5 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3.5,1){5cm}{3cm } \psGammaDist[linestyle=dotted]{0.1}{3} \psGammaDist[beta=0.25]{0.1}{3} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 3.5 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3.5,1){5cm}{3cm } \psGammaDist[linestyle=dotted]{0.1}{3} \psGammaDist[beta=0.75]{0.1}{3} \end{psgraph*} \\ \hline \BS{psGammaDist}[\RDD{beta}=0.25]\AC{0.1}\AC{3} \RDI{beta}{pst-func} & \BS{psGammaDist}[\RDD{beta}=0.75]\AC{0.1}\AC{3} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 3.5 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3.5,1){5cm}{3cm } \psGammaDist[linestyle=dotted]{0.1}{3} \psGammaDist[alpha=0.25,beta=0.75]{0.1}{3} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 3.5 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3.5,1){5cm}{3cm } \psGammaDist[linestyle=dotted]{0.1}{3} \psGammaDist[alpha=0.75,beta=0.25]{0.1}{3} \end{psgraph*} \\ \hline [alpha=0.25,beta=0.75] & [alpha=0.75,beta=0.25] \\ \hline \end{tabular} \newpage %\subsection{Loi du $\chi^2$} \SbSSCT{Loi du $\chi^2$}{$\chi^2$ Distribution} \begin{center} \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(5,1){10cm}{3cm } \psChiIIDist{0.01}{5} \end{psgraph*} \\ \hline \BSS{psChiIIDist}\AC{0.01}\AC{5} \BSI{psChiIIDist}{pst-func} \\ \hline \end{tabular} \end{center} \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(5,1){10cm}{3cm } \psChiIIDist[linestyle=dotted]{0.01}{5} \psChiIIDist[nue=.5]{0.01}{5} \end{psgraph*} \\ \hline \BS{psChiIIDist}[\RDD{nue}=.5]\AC{0.01}\AC{5} \RDI{nue}{pst-func} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(5,1){10cm}{3cm } \psChiIIDist[linestyle=dotted]{0.01}{5} \psChiIIDist[nue=2]{0.01}{5} \end{psgraph*} \\ \hline \BS{psChiIIDist}[\RDD{nue}=2]\AC{0.01}\AC{5} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(5,1){10cm}{3cm } \psChiIIDist[linestyle=dotted]{0.01}{5} \psChiIIDist[nue=3]{0.01}{5} \end{psgraph*} \\ \hline \BS{psChiIIDist}[\RDD{nue}=3]\AC{0.01}\AC{5} \\ \hline \end{tabular} %\subsection{Loi de Student} \SbSSCT{Loi de Student}{Student Distribution} \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-4 4 , subticks=0, dy=.2,Dy=.2 ](0,0)(-4,0)(4,1){10cm}{3cm } \psTDist{-4}{4} \end{psgraph*} \\ \hline \BSS{psTDist}\AC{4}\AC{4} \BSI{psTDist}{pst-func} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-4 4 , subticks=0, dy=.2,Dy=.2 ](0,0)(-4,0)(4,1){10cm}{3cm } \psTDist[linestyle=dotted]{-4}{4} \psTDist[nue=.5]{-4}{4} \end{psgraph*} \\ \hline \BSS{psTDist}[\RDD{nue}=.5]\AC{4}\AC{4} \RDI{nue}{pst-func} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-4 4 , subticks=0, dy=.2,Dy=.2 ](0,0)(-4,0)(4,1){10cm}{3cm } \psTDist[linestyle=dotted]{-4}{4} \psTDist[nue=10]{-4}{4} \end{psgraph*} \\ \hline \BSS{psTDist}[\RDD{nue}=10]\AC{4}\AC{4} \\ \hline \end{tabular} \newpage %\subsection{Loi de F} \SbSSCT{Loi de F}{F Distribution} \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(5,1){10cm}{3cm } \psFDist{0.1}{5} \end{psgraph*} \\ \hline \BSS{psFDist}\AC{0.1}\AC{5} \BSI{psFDist}{pst-func} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(5,1){10cm}{3cm } \psFDist[linestyle=dotted]{0.1}{5} \psFDist[nue=3]{0.01}{5} \end{psgraph*} \\ \hline \BSS{psFDist}[\RDD{nue}=3]\AC{0.1}\AC{5} \RDI{nue}{pst-func} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(5,1){10cm}{3cm } \psFDist[linestyle=dotted]{0.1}{5} \psFDist[mue=12]{0.01}{5} \end{psgraph*} \\ \hline \BSS{psFDist}[\RDD{mue}=12]\AC{0.1}\AC{5} \RDI{mue}{pst-func} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 5 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(5,1){10cm}{3cm } \psFDist[linestyle=dotted]{0.1}{5} \psFDist[nue=3,mue=12]{0.01}{5} \end{psgraph*} \\ \hline \BSS{psFDist}[nue=3,mue=12]\AC{0.1}\AC{5} \RDI{mue}{pst-func} \\ \hline \end{tabular} \newpage %\subsection{Loi de Beta} \SbSSCT{Loi de Beta}{Beta Distribution} \begin{center} \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 2 ,yticksize=0 1 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(1,2){5cm}{3cm } \psBetaDist{0.01}{0.99} \end{psgraph*} \\ \hline \BSS{psBetaDist}\AC{0.01}\AC{0.99} \BSI{psBetaDist}{pst-func} \\ \hline \end{tabular} \end{center} \bigskip \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|c|}{ \BSS{psBetaDist}[alpha=0.1]\AC{0.01}\AC{0.99} } \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 2 ,yticksize=0 1 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(1,2){3cm}{3cm } \psBetaDist[alpha=0.1]{0.01}{0.99} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 2 ,yticksize=0 1 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(1,2){3cm}{3cm } \psBetaDist[alpha=.5]{0.01}{0.99} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 2 ,yticksize=0 1 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(1,2){3cm}{3cm } \psBetaDist[alpha=.9]{0.01}{0.99} \end{psgraph*} \\ \hline [alpha=0.1] & [alpha=0.5] & [alpha=0.9] \\ \hline \multicolumn{3}{|c|}{ \dft : alpha= 1 } \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|c|}{ \BSS{psBetaDist}[beta=0.1]\AC{0.01}\AC{0.99} } \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 2 ,yticksize=0 1 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(1,2){3cm}{3cm } \psBetaDist[beta=0.1]{0.01}{0.99} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 2 ,yticksize=0 1 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(1,2){3cm}{3cm } \psBetaDist[beta=.5]{0.01}{0.99} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 2 ,yticksize=0 1 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(1,2){3cm}{3cm } \psBetaDist[beta=.9]{0.01}{0.99} \end{psgraph*} \\ \hline [beta=0.1] & [beta=0.5] & [beta=0.9] \\ \hline \multicolumn{3}{|c|}{ \dft : beta= 1 } \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|c|}{ \BSS{psBetaDist}[beta=0.1]\AC{0.01}\AC{0.99} } \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 2 ,yticksize=0 1 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(1,2){3cm}{3cm } \psBetaDist[alpha=.1,beta=0.1]{0.01}{0.99} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 2 ,yticksize=0 1 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(1,2){3cm}{3cm } \psBetaDist[alpha=.1,beta=.5]{0.01}{0.99} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 2 ,yticksize=0 1 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(1,2){3cm}{3cm } \psBetaDist[alpha=.1,beta=.9]{0.01}{0.99} \end{psgraph*} \\ \hline [alpha=.1,beta=0.1] & [alpha=.1,beta=0.5] & [alpha=.1,beta=0.9] \\ \hline \end{tabular} \newpage %\subsection{Loi de Cauchy} \SbSSCT{Loi de Cauchy}{Cauchy Distribution} \begin{center} \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-3 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(-3,0)(3,1){6cm}{2cm } \psCauchy{-3}{3} \end{psgraph*} \\ \hline \BSS{psCauchy}\AC{-3}\AC{3} \BSI{psCauchy}{pst-func} \\ \hline \end{tabular} \end{center} \bigskip \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|c|}{ \BSS{psCauchy}[b=0.1]\AC{-3}\AC{3} } \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-3 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(-3,0)(3,1){3cm}{3cm } \psCauchy[b=0.1]{-3}{3} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-3 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(-3,0)(3,1){3cm}{3cm } \psCauchy[b=.5]{-3}{3} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-3 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(-3,0)(3,1){3cm}{3cm } \psCauchy[b=1]{-3}{3} \end{psgraph*} \\ \hline [b=0.1]] & [b=0.5] & [b=1] \\ \hline \multicolumn{3}{|c|}{ \dft : b = 1 } \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|c|}{ \BSS{psCauchy}[m=0.1]\AC{-3}\AC{3} } \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-3 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(-3,0)(3,1){3cm}{3cm } \psCauchy[m=-1]{-3}{3} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-3 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(-3,0)(3,1){3cm}{3cm } \psCauchy[m=0]{-3}{3} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-3 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(-3,0)(3,1){3cm}{3cm } \psCauchy[m=1]{-3}{3} \end{psgraph*} \\ \hline [m=-1]] & [m=0] & [m=1] \\ \hline \multicolumn{3}{|c|}{ \dft : m = 0 } \\ \hline \end{tabular} \newpage \begin{center} \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-3 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(-3,0)(3,1){6cm}{2cm } \psCauchyI{-3}{3} \end{psgraph*} \\ \hline \BSS{psCauchyI}\AC{-3}\AC{3} \BSI{psCauchyI}{pst-func} \\ \hline \end{tabular} \end{center} \bigskip \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|c|}{ \BSS{psCauchyI}[b=0.1]\AC{-3}\AC{3} } \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-3 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(-3,0)(3,1){3cm}{3cm } \psCauchyI[linestyle=dotted]{-2.5}{2.5} \psCauchyI[b=0.1]{-3}{3} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-3 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(-3,0)(3,1){3cm}{3cm } \psCauchyI[linestyle=dotted]{-3}{3} \psCauchyI[b=.5]{-3}{3} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-3 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(-3,0)(3,1){3cm}{3cm } \psCauchyI[linestyle=dotted]{-2.5}{2.5} \psCauchyI[b=1]{-3}{3} \end{psgraph*} \\ \hline [b=0.1]] & [b=0.5] & [b=1] \\ \hline \multicolumn{3}{|c|}{ \dft : b = 1 } \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|c|}{ \BSS{psCauchyI}[m=0.1]\AC{-3}\AC{3} } \\ \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-3 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(-3,0)(3,1){3cm}{3cm } \psCauchyI[linestyle=dotted]{-3}{3} \psCauchyI[m=-1]{-3}{3} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-3 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(-3,0)(3,1){3cm}{3cm } \psCauchyI[linestyle=dotted]{-2.5}{2.5} \psCauchyI[m=0]{-3}{3} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=-3 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(-3,0)(3,1){3cm}{3cm } \psCauchyI[linestyle=dotted]{-3}{3} \psCauchyI[m=1]{-3}{3} \end{psgraph*} \\ \hline [m=-1] & [m=0] & [m=1] \\ \hline \multicolumn{3}{|c|}{ \dft : m = 0 } \\ \hline \end{tabular} \newpage %\subsection{Loi de Weibull} \SbSSCT{Loi de Weibull}{Weibull Distribution} \begin{center} \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3,1){6cm}{2cm } \psWeibull{0}{3} \end{psgraph*} \\ \hline \BSS{psWeibull}\AC{0}\AC{3} \BSI{psWeibull}{pst-func} \\ \hline \end{tabular} \end{center} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3,1){6cm}{2cm } \psWeibull[linestyle=dotted]{0}{3} \psWeibull[alpha=.5]{0}{3} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3,1){6cm}{2cm } \psWeibull[linestyle=dotted]{0}{3} \psWeibull[alpha=2]{0}{3} \end{psgraph*} \\ \hline \BS{psWeibull}[\RDD{alpha}=.5]\AC{0}\AC{3} & \BS{psWeibull}\RDD{alpha}=2]\AC{0}\AC{3} \\ \hline \multicolumn{2}{|c|}{ \dft : alpha=1 } \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3,1){6cm}{2cm } \psWeibull[linestyle=dotted]{0}{3} \psWeibull[beta=.5]{0}{3} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3,1){6cm}{2cm } \psWeibull[linestyle=dotted]{0}{3} \psWeibull[beta=2]{0}{3} \end{psgraph*} \\ \hline \BS{psWeibull}[\RDD{beta}=.5]\AC{0}\AC{3} & \BS{psWeibull}\RDD{beta}=2]\AC{0}\AC{3} \\ \hline \multicolumn{2}{|c|}{ \dft :beta=1 } \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 2 ,yticksize=0 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3,2){6cm}{4cm } \psWeibull[linestyle=dotted]{0}{3} \psWeibull[alpha=2,beta=.5]{0}{3} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 2 ,yticksize=0 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3,2){6cm}{4cm } \psWeibull[linestyle=dotted]{0}{3} \psWeibull[alpha=2,beta=2]{0}{3} \end{psgraph*} \\ \hline \BS{psWeibull}[alpha=2,beta=.5]\AC{0}\AC{3} & \BS{psWeibull}[alpha=2,beta=2]\AC{0}\AC{3} \\ \hline \end{tabular} \newpage \begin{center} \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3,1){6cm}{2cm } \psWeibullI{0}{3} \end{psgraph*} \\ \hline \BSS{psWeibullI}\AC{0}\AC{3} \BSI{psWeibullI}{pst-func} \\ \hline \end{tabular} \end{center} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3,1){6cm}{2cm } \psWeibullI[linestyle=dotted]{0}{3} \psWeibullI[alpha=.5]{0}{3} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3,1){6cm}{2cm } \psWeibullI[linestyle=dotted]{0}{3} \psWeibullI[alpha=2]{0}{3} \end{psgraph*} \\ \hline \BS{psWeibullI}[\RDD{alpha}=.5]\AC{0}\AC{3} \RDI{alpha}{pst-func} & \BS{psWeibullI}\RDD{alpha}=2]\AC{0}\AC{3} \\ \hline \multicolumn{2}{|c|}{ \dft : alpha=1 } \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3,1){6cm}{2cm } \psWeibullI[linestyle=dotted]{0}{3} \psWeibullI[beta=.5]{0}{3} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3,1){6cm}{2cm } \psWeibullI[linestyle=dotted]{0}{3} \psWeibullI[beta=2]{0}{3} \end{psgraph*} \\ \hline \BS{psWeibullI}[\RDD{beta}=.5]\AC{0}\AC{3} \RDI{beta}{pst-func} & \BS{psWeibullI}\RDD{beta}=2]\AC{0}\AC{3} \\ \hline \multicolumn{2}{|c|}{ \dft : beta=1 } \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3,1){6cm}{2cm } \psWeibullI[linestyle=dotted]{0}{3} \psWeibullI[alpha=2,beta=.5]{0}{3} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1 ,yticksize=0 3 , subticks=0, dy=.2,Dy=.2 ](0,0)(0,0)(3,1){6cm}{2cm } \psWeibullI[linestyle=dotted]{0}{3} \psWeibullI[alpha=2,beta=2]{0}{3} \end{psgraph*} \\ \hline \BS{psWeibullI}[alpha=2,beta=.5]\AC{0}\AC{3} & \BS{psWeibullI}[alpha=2,beta=2]\AC{0}\AC{3} \\ \hline \end{tabular} \newpage %\subsection{Loi de Vasicek} \SbSSCT{Loi de Vasicek}{Vasicek Distribution} \begin{center} \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 5, dx=.2,Dx=.2 ,yticksize=0 1, subticks=0 ](0,0)(0,0)(1,5){6cm}{3cm } \psVasicek{0}{0.9999} \end{psgraph*} \\ \hline \BSS{psVasicek}\AC{0}\AC{3} \BSI{psVasicek}{pst-func} \\ \hline \end{tabular} \end{center} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 10, dx=.2,Dx=.2 ,yticksize=0 1, subticks=0 ](0,0)(0,0)(1,10){6cm}{3cm } \psVasicek[linestyle=dotted]{0}{0.9999} \psVasicek[pd=.1]{0}{0.9999} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 5, dx=.2,Dx=.2 ,yticksize=0 1, subticks=0 ](0,0)(0,0)(1,5){6cm}{3cm } \psVasicek[linestyle=dotted]{0}{0.9999} \psVasicek[pd=.5]{0}{0.9999} \end{psgraph*} \\ \hline \BS{psVasicek}[\RDD{pd}=.1]\AC{0}\AC{3} \RDI{pd}{pst-func} & \BS{psVasicek}[\RDD{pd}=.5]\AC{0}\AC{3} \\ \hline \multicolumn{2}{|c|}{ \dft : pd = 0.22 } \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 10, dx=.2,Dx=.2 ,yticksize=0 1, subticks=0 ](0,0)(0,0)(1,10){6cm}{3cm } \psVasicek[linestyle=dotted]{0}{0.9999} \psVasicek[R2=.05]{0}{0.9999} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 5, dx=.2,Dx=.2 ,yticksize=0 1, subticks=0 ](0,0)(0,0)(1,5){6cm}{3cm } \psVasicek[linestyle=dotted]{0}{0.9999} \psVasicek[R2=.2]{0}{0.9999} \end{psgraph*} \\ \hline \BS{psVasicek}[\RDD{R2}=.05]\AC{0}\AC{3} \RDI{R2}{pst-func} & \BS{psVasicek}[\RDD{R2}=.2]\AC{0}\AC{3} \\ \hline \multicolumn{2}{|c|}{ \dft : R2 = 0.11 } \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 5, dx=.2,Dx=.2 ,yticksize=0 1, subticks=0 ](0,0)(0,0)(1,5){6cm}{3cm } \psVasicek[linestyle=dotted,pd=.5]{0}{0.9999} \psVasicek[pd=.5,R2=.05]{0}{0.9999} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 5, dx=.2,Dx=.2 ,yticksize=0 1, subticks=0 ](0,0)(0,0)(1,5){6cm}{3cm } \psVasicek[linestyle=dotted,pd=.5]{0}{0.9999} \psVasicek[pd=.5,R2=.2]{0}{0.9999} \end{psgraph*} \\ \hline \BS{psVasicek}[pd=.5,R2=.05]\AC{0}\AC{3} \RDI{R2}{pst-func} & \BS{psVasicek}[pd=.5,R2=.2]\AC{0}\AC{3} \\ \hline \end{tabular} \newpage %\subsection{Courbe de Lorenz} \SbSSCT{Courbe de Lorenz}{Lorenz curve} \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1,dx=.2,Dx=.2 , dy=.2,Dy=.2 ,yticksize=0 1, subticks=0 ](0,0)(0,0)(1,1){5cm}{3cm } \psLorenz{0.1 0.2 0.3 } \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1,dx=.2,Dx=.2 , dy=.2,Dy=.2 ,yticksize=0 1, subticks=0 ](0,0)(0,0)(1,1){5cm}{3cm } \psLorenz*{.1 .2 .3 } \end{psgraph*} \\ \hline \BSS{psLorenz}\AC{0.1 0.2 0.3} \BSI{psLorenz}{pst-func} & \BSS{psLorenz}*\AC{0.1 0.2 0.3 } \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1, dx=.2,Dx=.2 ,yticksize=0 1, subticks=0,lly=-13mm ](0,0)(0,0)(1,1){5cm}{3cm } \psLorenz[linestyle=dotted]{.1 .2 .3 } \psLorenz[plotstyle=bezier]{.1 .2 .3 } \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1, dx=.2,Dx=.2 ,yticksize=0 1, subticks=0,lly=-13mm ](0,0)(0,0)(1,1){5cm}{3cm } \psLorenz[linestyle=dotted]{.1 .2 .3 } \psLorenz[Gini]{.1 .2 .3 } \end{psgraph*} \\ \hline \BS{psLorenz}[plotstyle=bezier]\AC{.1 .2 .3} & \BS{psLorenz}[\RDD{Gini}]\AC{.1 .2 .3 } \\ \hline \end{tabular} \newpage %\subsection{Courbe de Lamé : superellipses} \SbSSCT{Courbe de Lamé : superellipses}{Lame curve} \begin{tabular}{|c|c|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -1 1 , yticksize=-1 1, subticks=0 ](0,0)(-1,-1)(1,1){2cm}{2cm} \psLame{.5} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -1 1 , yticksize=-1 1, subticks=0 ](0,0)(-1,-1)(1,1){2cm}{2cm} \psLame{.75} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -1 1 , yticksize=-1 1, subticks=0 ](0,0)(-1,-1)(1,1){2cm}{2cm} \psLame{2} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -1 1 , yticksize=-1 1, subticks=0 ](0,0)(-1,-1)(1,1){2cm}{2cm} \psLame{5} \end{psgraph*} \\ \hline \BSS{psLame}\AC{.5} \BSI{psLame}{pst-func} & \BSS{psLame}\AC{.75} & \BSS{psLame}\AC{2} & \BSS{psLame}\AC{5}\\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-2 2,subticks=0 ](0,0)(-2,-2)(2,2){4cm}{4cm } \psLame[radiusA=2]{.5} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=-2 2,subticks=0 ](0,0)(-2,-2)(2,2){4cm}{4cm } \psLame[radiusB=2]{.5} \end{psgraph*} \\ \hline \BS{psLame}[\RDD{radiusA}=2]\AC{.5} \RDI{radiusA}{pst-func}& \BS{psLame}[\RDD{radiusB}=2]\AC{.5} \RDI{radiusB}{pst-func}\\ \hline \end{tabular} %\subsection{Fonction de Thomae} \SbSSCT{Fonction de Thomae}{Thomae curve} \psset{unit=4cm} \begin{tabular}{|c|c|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1, dx=.2,Dx=.2, dy=.2,Dy=.2 ,yticksize=0 1, subticks=0,lly=-13mm ](0,0)(0,0)(1,1){2.5cm}{2.5cm } \psThomae[dotsize=5pt](0,1){1} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1, dx=.2,Dx=.2, dy=.2,Dy=.2 ,yticksize=0 1, subticks=0,lly=-13mm ](0,0)(0,0)(1,1){2.5cm}{2.5cm } \psThomae[dotsize=5pt](0,1){2} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1, dx=.2,Dx=.2, dy=.2,Dy=.2 ,yticksize=0 1, subticks=0,lly=-13mm ](0,0)(0,0)(1,1){2.5cm}{2.5cm } \psThomae[dotsize=5pt](0,1){3} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1, dx=.2,Dx=.2, dy=.2,Dy=.2 ,yticksize=0 1, subticks=0,lly=-13mm ](0,0)(0,0)(1,1){2.5cm}{2.5cm } \psThomae[dotsize=5pt](0,1){10} \end{psgraph*} \\ \hline \BSS{psThomae}(0,1)\AC{1} \BSI{psThomae}{pst-func} & \BSS{psThomae}(0,1)\AC{2} & \BSS{psThomae}(0,1)\AC{3} & \BSS{psThomae}(0,1)\AC{10}\\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 1, dx=.5,Dx=.5, dy=.5,Dy=.5 ,yticksize=0 2, subticks=0 ](0,0)(0,0)(2,1){5cm}{3cm } \psThomae[dotsize=5pt](0,2){10} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 1, dx=.5,Dx=.5, dy=.5,Dy=.5 ,yticksize=0 2.5, subticks=0 ](0,0)(0,0)(2.5,1){7cm}{3cm } \psThomae[dotsize=5pt](0.5,2.5){10} \end{psgraph*} \\ \hline \BSS{psThomae}(0,2){10}(0,2)\AC{10} & \BSS{psThomae}(0,2){10}(0.5,2)\AC{10} \\ \hline \end{tabular} %\subsection{Fonction de Weierstrass} \SbSSCT{Fonction de Weierstrass}{Weierstrass curve} \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -.5 .5, dx=.5,Dx=.5, dy=.5,Dy=.5 ,yticksize=0 2, subticks=0 ](0,0)(0,-.5)(2,.5){5cm}{3cm } \psWeierstrass(0,2){2} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -.5 .5, dx=.5,Dx=.5, dy=.5,Dy=.5 ,yticksize=0 2, subticks=0 ](0,0)(0,-.5)(2,.5){5cm}{3cm } % \psWeierstrass[linestyle=dotted](0,2){2} \psWeierstrass(0,2){5} \end{psgraph*} \\ \hline \BSS{psWeierstrass}(0,2)\AC{2} & \BSS{psWeierstrass}(0,2)\AC{5} \BSI{psWeierstrass}{pst-func}\\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= 0 .5, dx=.1,Dx=.1, dy=.1,Dy=.1 ,yticksize=.5 1, subticks=0 ](0,0)(0.5,0)(1,.5){5cm}{3cm } \psWeierstrass(.5,1){2} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= 0 .05, dx=.01,Dx=.01, dy=.01,Dy=.01 ,yticksize=.95 1, subticks=0 ](0,0)(0.95,0)(1,.05){5cm}{3cm } \psWeierstrass(.95,1){2} \end{psgraph*} \\ \hline \BSS{psWeierstrass}(.5,1)\AC{2} & \BSS{psWeierstrass}(.95,1)\AC{5} \BSI{psWeierstrass}{pst-func}\\ \hline \end{tabular} \bigskip \begin{tabular}{|c|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -.5 .5, dx=.5,Dx=.5, dy=.5,Dy=.5 ,yticksize=0 2, subticks=0 ](0,0)(0,-.5)(2,.5){5cm}{3cm } \psWeierstrass[linestyle=dotted](0,2){2} \psWeierstrass[epsilon=1.e-1](0,5){2} \end{psgraph*} & \begin{psgraph*}[axesstyle=none,xticksize= -.5 .5, dx=.5,Dx=.5, dy=.5,Dy=.5 ,yticksize=0 2, subticks=0 ](0,0)(0,-.5)(2,.5){5cm}{3cm } \psWeierstrass[linestyle=dotted](0,2){2} \psWeierstrass[epsilon=1](0,5){2} \end{psgraph*} \\ \hline \BSS{psWeierstrass}[\RDD{epsilon}=1.e-1](0,5)\AC{2} & \BSS{psWeierstrass}[\RDD{epsilon}=1](0,5)\AC{2} \RDI{epsilon}{pst-func} \\ \hline \multicolumn{2}{|c|}{ \dft : epsilon=1.e-18 } \\ \hline \end{tabular} \newpage %\subsection{Fonction définie implicitement} \SbSSCT{Fonction définie implicitement}{implicit defined functions} \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -6 3 ,yticksize=-5 5, subticks=0 ](0,0)(-5,-6)(5,3){10cm}{5cm } \psplotImp[linewidth=2pt](-6,-7)(4,3){4 x 3 exp y 3 exp add 4 x y mul mul sub } \end{psgraph*} \\ \hline \BSS{psplotImp}(-6,-7)(4,3)\AC{4 x 3 exp y 3 exp add 4 x y mul mul sub } \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -6 3 ,yticksize=-5 5, subticks=0 ](0,0)(-5,-6)(5,3){10cm}{5cm } \psplotImp[algebraic,linewidth=2pt](-6,-7)(4,3){x^3 +y^3 -4*x*y} \end{psgraph*} \\ \hline \BSS{psplotImp}[\RDD{algebraic}](-6,-7)(4,3)\AC{x\^{}3 +y\^{}3 -4*x*y } \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -6 3 ,yticksize=-5 5, subticks=0 ](0,0)(-5,-6)(5,3){10cm}{5cm } \psplotImp[algebraic,linewidth=2pt,stepFactor=2](-6,-7)(4,3){x^3 +y^3 -4*x*y} \end{psgraph*} \\ \hline \BSS{psplotImp}[algebraic,\RDD{stepFactor}=2](-6,-7)(4,3)\AC{x\^{}3 +y\^{}3 -4*x*y } \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -1 1 ,yticksize=-1 1, subticks=0 ](0,0)(-1,-1)(1,1){5cm}{5cm } \psplotImp[algebraic,polarplot,linewidth=1pt](-1,-1)(1,1){ r + cos(10*phi) } \end{psgraph*} \\ \hline \BSS{psplotImp}[algebraic,\RDD{polarplot}](-1,-1)(1,1)\AC{r + cos(10*phi) } \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|} \hline \begin{psgraph*}[axesstyle=none,xticksize= -1 1 ,yticksize=-1 1, subticks=0 ](0,0)(-1,-1)(1,1){5cm}{5cm } \psplotImp[algebraic,polarplot,linewidth=1pt,stepFactor=1](-1,-1)(1,1){ r + cos(10*phi) } \end{psgraph*} \\ \hline \BSS{psplotImp}[algebraic,polarplot,\RDD{stepFactor}=1](-1,-1)(1,1)\AC{r + cos(10*phi) } \\ \hline \end{tabular} \newpage %\subsection{Fonction de rotation} \SbSSCT{Fonction de rotation}{Rotating functions} \begin{tabular}{|c|}\hline \begin{psgraph*}[axesstyle=none,xticksize= -2 2 ,yticksize=0 5, subticks=0 ](0,0)(0,-2)(5,2){10cm}{5cm } \psVolume[fillstyle=solid,fillcolor=blue!40](0,4){4}{x sqrt} \end{psgraph*} \\ \hline \BSS{psVolume}[fillstyle=solid,fillcolor=blue!40](0,4)\AC{4}\AC{x sqrt} \BSI{psVolume}{pst-func} \\ \hline \end{tabular} \bigskip \begin{tabular}{|c|}\hline \begin{psgraph*}[axesstyle=none,xticksize= -1 1 ,yticksize=0 7, subticks=0 ](0,0)(0,-1)(7,1){10cm}{5cm } \psVolume[fillstyle=solid,fillcolor=yellow,algebraic](0,6.28){20}{cos(x)} \end{psgraph*} \\ \hline \BSS{psVolume}[fillstyle=solid,fillcolor=yellow,algebraic](0,6.28)\AC{20}\AC{cos(x)} \\ \hline \end{tabular}