// xcas version=0.7.4 fontsize=20 font=0 // fltk 7Fl_Tile 23 -991 920 115 20 0 [ // fltk N4xcas23Comment_Multiline_InputE 23 -991 920 114 20 0 solution avec la fonction plotarea, on remplace 4 par 10 ou 20,£cf. ci-dessous une autre solution calculant explicitement les sommes, £utilisable egalement sur calculatrice£l'utilisation du tableur est plus technique sur cet exemple qui n'est surement £pas un exemple type ou utiliser le tableur est le plus approprie. , // fltk N4xcas10Log_OutputE 23 -877 920 1 20 0 ] , // fltk 7Fl_Tile 23 -874 920 341 20 0 [ // fltk N4xcas19Multiline_Input_tabE 23 -874 920 30 20 0 plotarea(1/(1+x^2),x=0..1,20,rectangle_gauche) , // fltk N4xcas10Log_OutputE 23 -844 920 1 20 0 , // fltk 7Fl_Tile 23 -843 920 310 20 0 [ // fltk N4xcas7Graph2dE 23 -843 779 310 20 0 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, // fltk 8Fl_Group 802 -843 141 310 20 0 [ // fltk N4xcas14Mouse_PositionE 802 -843 141 40 20 0 [] , // fltk 8Fl_Group 802 -803 141 115 20 0 [ // fltk 9Fl_Button 802 -803 47 23 20 0 [] , // fltk 9Fl_Button 849 -803 46 23 20 0 [] , // fltk 9Fl_Button 895 -803 47 23 20 0 [] , // fltk 9Fl_Button 802 -780 47 23 20 0 [] , // fltk 9Fl_Button 849 -780 46 23 20 0 [] , // fltk 9Fl_Button 895 -780 47 23 20 0 [] , // fltk 9Fl_Button 802 -757 47 23 20 0 [] , // fltk 9Fl_Button 849 -757 46 23 20 0 [] , // fltk 9Fl_Button 895 -757 47 23 20 0 [] , // fltk 9Fl_Button 802 -734 47 23 20 0 [] , // fltk 9Fl_Button 849 -734 46 23 20 0 [] , // fltk 9Fl_Button 895 -734 47 23 20 0 [] , // fltk 9Fl_Button 802 -711 47 23 20 0 [] , // fltk 11Fl_Menu_Bar 849 -711 93 23 20 0 [] ] , // fltk 8Fl_Group 802 -688 141 155 20 0 [ ] ] ] ] , // fltk 7Fl_Tile 23 -531 920 341 20 0 [ // fltk N4xcas19Multiline_Input_tabE 23 -531 920 30 20 0 plotarea(1/(1+x^2),x=0..1,20,rectangle_droit) , // fltk N4xcas10Log_OutputE 23 -501 920 1 20 0 , // fltk 7Fl_Tile 23 -500 920 310 20 0 [ // fltk N4xcas7Graph2dE 23 -500 779 310 20 0 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, // fltk 8Fl_Group 802 -500 141 310 20 0 [ // fltk N4xcas14Mouse_PositionE 802 -500 141 40 20 0 [] , // fltk 8Fl_Group 802 -460 141 115 20 0 [ // fltk 9Fl_Button 802 -460 47 23 20 0 [] , // fltk 9Fl_Button 849 -460 46 23 20 0 [] , // fltk 9Fl_Button 895 -460 47 23 20 0 [] , // fltk 9Fl_Button 802 -437 47 23 20 0 [] , // fltk 9Fl_Button 849 -437 46 23 20 0 [] , // fltk 9Fl_Button 895 -437 47 23 20 0 [] , // fltk 9Fl_Button 802 -414 47 23 20 0 [] , // fltk 9Fl_Button 849 -414 46 23 20 0 [] , // fltk 9Fl_Button 895 -414 47 23 20 0 [] , // fltk 9Fl_Button 802 -391 47 23 20 0 [] , // fltk 9Fl_Button 849 -391 46 23 20 0 [] , // fltk 9Fl_Button 895 -391 47 23 20 0 [] , // fltk 9Fl_Button 802 -368 47 23 20 0 [] , // fltk 11Fl_Menu_Bar 849 -368 93 23 20 0 [] ] , // fltk 8Fl_Group 802 -345 141 155 20 0 [ ] ] ] ] , // fltk 7Fl_Tile 23 -188 920 31 20 0 [ // fltk N4xcas23Comment_Multiline_InputE 23 -188 920 30 20 0 calcul exact des sommes avec la fonction sum , // fltk N4xcas10Log_OutputE 23 -158 920 1 20 0 ] , // fltk 7Fl_Tile 23 -155 920 78 20 0 [ // fltk N4xcas19Multiline_Input_tabE 23 -155 920 30 20 0 n:=20; ssup:=1/n*sum(1/(1+(k/n)^2),k,0,19); evalf(ssup) , // fltk N4xcas10Log_OutputE 23 -125 920 1 20 0 , // fltk N4xcas8EquationE 23 -124 920 47 20 0 20,506925195984692128630200424841088123/635408636887538626691807845137940250,0.797793996739 ] , // fltk 7Fl_Tile 23 -75 920 78 20 0 [ // fltk N4xcas19Multiline_Input_tabE 23 -75 920 30 20 0 n:=20; sinf:=1/n*sum(1/(1+(k/n)^2),k,1,20); evalf(sinf) , // fltk N4xcas10Log_OutputE 23 -45 920 1 20 0 , // fltk N4xcas8EquationE 23 -44 920 47 20 0 20,1964159920250014651851620914850558467/2541634547550154506767231380551761000,0.772793996739 ] , // fltk 7Fl_Tile 23 5 920 78 20 0 [ // fltk N4xcas19Multiline_Input_tabE 23 5 920 30 20 0 ssup-sinf , // fltk N4xcas10Log_OutputE 23 35 920 1 20 0 , // fltk N4xcas8EquationE 23 36 920 47 20 0 1/40 ] , // fltk 7Fl_Tile 23 85 920 168 20 0 [ // fltk N4xcas23Comment_Multiline_InputE 23 85 920 168 20 0 on pourrait bien sur aussi ecrire la somme avec un petite boucle du type£ res:=0; pour j de 1 jusque n faire res:=res+f(j/n); fpour; res;£Montrons aussi comment faire au tableur en utilisant une fonction£Attention le changement de valeur pour n necessite de modifier la cellule finale £dans la plage de la formule de C1 et C2 (il n'y a pas de fonction decaler en xcas).£Pour faire les choses plus proprement, il faut donner un nom de variable au tableau£(on clique sur Spreadshhet et on change Variable) et en prendre un sous-tableau,£en utilisant des indices entiers, cf les cellules C4 et C5 , // fltk N4xcas10Log_OutputE 23 253 920 0 20 0 ] , // fltk 7Fl_Tile 23 255 920 547 20 0 [ // fltk N4xcas13Tableur_GroupE 23 255 920 546 20 0 1 1 1 0 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, // fltk N4xcas10Log_OutputE 23 801 920 1 20 0 ] , // fltk 7Fl_Tile 23 804 920 31 20 0 [ // fltk N4xcas19Multiline_Input_tabE 23 804 920 30 20 0 , // fltk N4xcas10Log_OutputE 23 834 920 1 20 0 ]