// xcas version=0.7.2 fontsize=20 // fltk N4xcas12History_FoldE 26 -1868 918 196 20 Calcul formel // fltk N4xcas12History_PackE 26 -1842 902 149 20 [ // fltk 7Fl_Tile 38 -1842 890 30 20 [ // fltk N4xcas19Multiline_Input_tabE 38 -1842 890 30 20 factor(x^10+1) , // fltk N4xcas8EquationE 38 -1812 890 20 20 (x-i)*(x+i)*(x^4+(i)*x^3-x^2+(-(i))*x+1)*(x^4+(-(i))*x^3-x^2+(i)*x+1) ] , // fltk 7Fl_Tile 38 -1810 890 25 20 [ // fltk N4xcas19Multiline_Input_tabE 38 -1810 890 25 20 'integrate(1/(x^4+1)^4,x,0,+infinity)',integrate(1/(x^4+1)^4,x=0..+infinity) , // fltk N4xcas8EquationE 38 -1785 890 20 20 integrate(1/((x^4+1)^4),x,0,+(infinity)),(77*pi*sqrt(2))/512 ] , // fltk 7Fl_Tile 38 -1783 890 27 20 [ // fltk N4xcas19Multiline_Input_tabE 38 -1783 890 27 20 plot(x^2,x=-3..3);plotarea(x^2,x=0..2) , // fltk 7Fl_Tile 38 -1756 890 0 20 [ // fltk N4xcas7Graph2dE 38 -1756 770 0 20 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, // fltk 7Fl_Tile 808 -1756 120 0 20 [ // fltk N4xcas14Mouse_PositionE 808 -1756 120 40 20 [] , // fltk 8Fl_Group 808 -1716 120 0 20 [ // fltk 9Fl_Button 808 -1716 40 0 20 [] , // fltk 9Fl_Button 848 -1716 39 0 20 [] , // fltk 9Fl_Button 887 -1716 40 0 20 [] , // fltk 9Fl_Button 808 -1716 40 0 20 [] , // fltk 9Fl_Button 848 -1716 39 0 20 [] , // fltk 9Fl_Button 887 -1716 40 0 20 [] , // fltk 9Fl_Button 808 -1716 40 0 20 [] , // fltk 9Fl_Button 848 -1716 39 0 20 [] , // fltk 9Fl_Button 887 -1716 40 0 20 [] , // fltk 9Fl_Button 808 -1716 40 0 20 [] , // fltk 9Fl_Button 848 -1716 39 0 20 [] , // fltk 9Fl_Button 887 -1716 40 0 20 [] , // fltk 9Fl_Button 808 -1716 40 0 20 [] , // fltk 11Fl_Menu_Bar 848 -1716 79 0 20 [] ] , // fltk 8Fl_Group 808 -1716 120 -40 20 [ ] ] ] ] , // fltk 7Fl_Tile 38 -1754 890 27 20 [ // fltk N4xcas19Multiline_Input_tabE 38 -1754 890 27 20 G:=GF(2,a^8+a^6+a^3+a^2+1,['a','G'],undef); A:=G(a); factor(x^4+A^4) , // fltk N4xcas8EquationE 38 -1727 890 20 20 GF(2,a^8+a^6+a^3+a^2+1,[a,G],undef),G(a),(x+G(a))*(x^3+G(a)*x^2+G(a^2)*x+G(a^3)) ] , // fltk 7Fl_Tile 38 -1725 890 30 20 [ // fltk N4xcas19Multiline_Input_tabE 38 -1725 890 30 20 ] ] , // fltk 7Fl_Tile 26 -1840 918 451 20 [ // fltk N4xcas6FigureE 26 -1840 918 450 20 landscape=0 history=0.33333 geo=0.55556 mouse_param=0.11111 // fltk N4xcas12History_PackE 28 -1849 286 459 20 [ // fltk 7Fl_Tile 40 -1849 274 58 20 [ // fltk N4xcas19Multiline_Input_tabE 40 -1849 274 30 20 A:=point(-2.163,2.945,'color'=0) , // fltk N4xcas10Log_OutputE 40 -1819 274 1 20 , // fltk N4xcas10Gen_OutputE 40 -1818 274 27 20 point(-2.163,2.945) ] , // fltk 7Fl_Tile 40 -1789 274 58 20 [ // fltk N4xcas19Multiline_Input_tabE 40 -1789 274 30 20 B:=point(1.902,1.271,'color'=0) , // fltk N4xcas10Log_OutputE 40 -1759 274 1 20 , // fltk N4xcas10Gen_OutputE 40 -1758 274 27 20 point(1.902,1.271) ] , // fltk 7Fl_Tile 40 -1729 274 80 20 [ // fltk N4xcas19Multiline_Input_tabE 40 -1729 274 30 20 AB:=segment(A,B,'color'=0) , // fltk N4xcas10Log_OutputE 40 -1699 274 1 20 , // fltk 9Fl_Scroll 40 -1698 274 49 20 [ // fltk N4xcas10Gen_OutputE 40 -1698 397 27 20 segment(point(-2.163,2.945),point(1.902,1.271)) , // fltk 12Fl_Scrollbar 40 251 274 20 20 [] , // fltk 12Fl_Scrollbar 314 222 16 29 20 [] ] ] , // fltk 7Fl_Tile 40 -1647 274 58 20 [ // fltk N4xcas19Multiline_Input_tabE 40 -1647 274 30 20 C:=point(-0.358,-1.51,'color'=0) , // fltk N4xcas10Log_OutputE 40 -1617 274 1 20 , // fltk N4xcas10Gen_OutputE 40 -1616 274 27 20 point(-0.358,-1.51) ] , // fltk 7Fl_Tile 40 -1587 274 80 20 [ // fltk N4xcas19Multiline_Input_tabE 40 -1587 274 30 20 BC:=segment(B,C,'color'=0) , // fltk N4xcas10Log_OutputE 40 -1557 274 1 20 , // fltk 9Fl_Scroll 40 -1556 274 49 20 [ // fltk N4xcas10Gen_OutputE 40 -1556 393 27 20 segment(point(1.902,1.271),point(-0.358,-1.51)) , // fltk 12Fl_Scrollbar 40 393 274 20 20 [] , // fltk 12Fl_Scrollbar 314 364 16 29 20 [] ] ] , // fltk 7Fl_Tile 40 -1505 274 80 20 [ // fltk N4xcas19Multiline_Input_tabE 40 -1505 274 30 20 CA:=segment(C,A,'color'=0) , // fltk N4xcas10Log_OutputE 40 -1475 274 1 20 , // fltk 9Fl_Scroll 40 -1474 274 49 20 [ // fltk N4xcas10Gen_OutputE 40 -1474 399 27 20 segment(point(-0.358,-1.51),point(-2.163,2.945)) , // fltk 12Fl_Scrollbar 40 475 274 20 20 [] , // fltk 12Fl_Scrollbar 314 446 16 29 20 [] ] ] , // fltk 7Fl_Tile 40 -1423 274 31 20 [ // fltk N4xcas19Multiline_Input_tabE 40 -1423 274 30 20 , // fltk N4xcas10Log_OutputE 40 -1393 274 1 20 // Parsing pgcd£// Success compiling pgcd£// Parsing pgcdr£// Warning: pgcdr declared as global variable(s) compiling pgcdr£// Parsing bezout£// Success compiling bezout£// Parsing bezoutr£// Warning: bezoutr declared as global variable(s) compiling bezoutr£ ] ] // fltk N4xcas5Geo2dE 332 -1814 510 424 20 -6.223,6.223,-5.1413,5.1413,[pnt(pnt[-2.163+2.945*i,[0],"A"]),pnt(pnt[1.902+1.271*i,[0],"B"]),pnt(pnt[group[-2.163+2.945*i,1.902+1.271*i],0,"AB"]),pnt(pnt[-0.358-1.51*i,[0],"C"]),pnt(pnt[group[1.902+1.271*i,-0.358-1.51*i],0,"BC"]),pnt(pnt[group[-0.358-1.51*i,-2.163+2.945*i],0,"CA"])],-5,5,1,0,0,0,2,2,1,0,1,1.05,0,1,1,[],24,18,256,0,100,0,0,1,0.1 , // fltk N4xcas10Log_OutputE 26 -1390 918 1 20 ] , // fltk 7Fl_Tile 26 -1387 918 418 20 [ // fltk N4xcas19Multiline_Input_tabE 26 -1387 918 111 20 R:=element(0..5);£plotparam(R*(t-sin(t)+i*(1-cos(t))),t=-10..10,display=rouge);£animation(seq('circle(R*u+i*R,R)',u,-10,10,0.5));£animation(seq('M:=point(R*(u-sin(u)+i*(1-cos(u))))',u,-10,10,0.5));£animation(seq('segment( R*u+i*R, R*(u+i-i*exp(-i*u)))',u,-10,10,0.5)); , // fltk N4xcas10Log_OutputE 26 -1276 918 1 20 , // fltk 7Fl_Tile 26 -1275 918 306 20 [ // fltk N4xcas7Graph2dE 26 -1275 798 306 20 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, // fltk 7Fl_Tile 824 -1275 120 306 20 [ // fltk N4xcas14Mouse_PositionE 824 -1275 120 40 20 [] , // fltk 8Fl_Group 824 -1235 120 115 20 [ // fltk 9Fl_Button 824 -1235 39 23 20 [] , // fltk 9Fl_Button 863 -1235 40 23 20 [] , // fltk 9Fl_Button 903 -1235 39 23 20 [] , // fltk 9Fl_Button 824 -1212 39 23 20 [] , // fltk 9Fl_Button 863 -1212 40 23 20 [] , // fltk 9Fl_Button 903 -1212 39 23 20 [] , // fltk 9Fl_Button 824 -1189 39 23 20 [] , // fltk 9Fl_Button 863 -1189 40 23 20 [] , // fltk 9Fl_Button 903 -1189 39 23 20 [] , // fltk 9Fl_Button 824 -1166 39 23 20 [] , // fltk 9Fl_Button 863 -1166 40 23 20 [] , // fltk 9Fl_Button 903 -1166 39 23 20 [] , // fltk 9Fl_Button 824 -1143 39 23 20 [] , // fltk 11Fl_Menu_Bar 863 -1143 79 23 20 [] ] ] ] ] , // fltk 7Fl_Tile 26 -967 918 341 20 [ // fltk N4xcas6FigureE 26 -967 918 340 20 landscape=0 history=0.33333 geo=0.49129 mouse_param=0.17538 // fltk N4xcas12History_PackE 28 -941 286 367 20 [ // fltk 7Fl_Tile 40 -941 274 66 20 [ // fltk N4xcas19Multiline_Input_tabE 40 -941 274 51 20 C:=cone([0,0,0],[0,0,1],pi/6,£display=vert+rempli) , // fltk N4xcas10Log_OutputE 40 -890 274 1 20 , // fltk 9Fl_Output 40 -889 274 14 20 Unable to launch thread ] , // fltk 7Fl_Tile 40 -873 274 58 20 [ // fltk N4xcas19Multiline_Input_tabE 40 -873 274 30 20 t:=element((-20) .. 20,5.2) , // fltk N4xcas10Log_OutputE 40 -843 274 1 20 , // fltk N4xcas10Gen_OutputE 40 -842 274 27 20 parameter(t,-20,20,5.2) ] , // fltk 7Fl_Tile 40 -813 274 101 20 [ // fltk N4xcas19Multiline_Input_tabE 40 -813 274 51 20 P:=plane(z=t*y+3,£'display'=(cyan+rempli)) , // fltk N4xcas10Log_OutputE 40 -762 274 1 20 , // fltk 9Fl_Scroll 40 -761 274 49 20 [ // fltk N4xcas10Gen_OutputE 40 -761 274 27 20 pnt(pnt[hyperplan([0,-5.2,1],point[0,0,3.0]),1073741830,"P"]) , // fltk 12Fl_Scrollbar 40 117 274 16 20 [] , // fltk 12Fl_Scrollbar 314 68 16 49 20 [] ] ] , // fltk 7Fl_Tile 40 -710 274 101 20 [ // fltk N4xcas19Multiline_Input_tabE 40 -710 274 51 20 inter(C,P,display=rouge+£line_width_5) , // fltk N4xcas10Log_OutputE 40 -659 274 1 20 , // fltk 9Fl_Scroll 40 -658 274 49 20 [ // fltk N4xcas10Gen_OutputE 40 -658 274 27 20 [[pnt(pnt[curve(group[pnt[[` s`*sqrt(1-(-0.384615384615/` s`*(-0.866025403784*` s`+3.0))^2)/2,(0.333086693763*` s`-1.15384615385)/2,` s`*sqrt(3)/2],` 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, // fltk 12Fl_Scrollbar 40 220 274 16 20 [] , // fltk 12Fl_Scrollbar 314 171 16 49 20 [] ] ] , // fltk 7Fl_Tile 40 -607 274 31 20 [ // fltk N4xcas19Multiline_Input_tabE 40 -607 274 30 20 , // fltk N4xcas10Log_OutputE 40 -577 274 1 20 ] ] // fltk N4xcas5Geo3dE 332 -941 451 314 20 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, // fltk N4xcas10Log_OutputE 26 -15 918 1 20 ] , // fltk 7Fl_Tile 26 -12 918 580 20 [ // fltk N4xcas7EditeurE 26 -12 918 324 20 739 , pgcd(a,b):={ local r; while (b!=0){ r:=irem(a,b); a:=b; b:=r; } return(a); }:; pgcdr(a,b):={ if (b==0) return(a); else return(pgcdr(b,irem(a,b))); }:; bezout(a,b):={ //renvoie la liste [u,v,d] telle que a*u+b*v=d=pgcd(a,b) (fct iterative) local la,lb,lr,q,lb2; la:=[1,0,eval(a)]; lb:=[0,1,eval(b)]; lb2:=eval(b); while (lb2 !=0){ q:=iquo(la[2],lb2); lr:=la+(-q)*lb; la:=lb; lb:=lr; lb2:=lb[2]; } return(la); }:; bezoutr(a,b):={ //renvoie la liste [u,v,d] telle que a*u+b*v=d=pgcd(a,b) (fct recursive) local lb,q,r; if (b!=0) { q:=iquo(a,b); r:=irem(a,b); lb:=bezoutr(b,r); return([lb[1],lb[0]+(-q)*lb[1],lb[2]]); } else return([1,0,a]); }:;, // fltk N4xcas10Log_OutputE 26 312 918 213 20 // Parsing pgcd£// Success compiling pgcd£// Parsing pgcdr£// Warning: pgcdr declared as global variable(s) compiling pgcdr£// Parsing bezout£// Success compiling bezout£// Parsing bezoutr£// Warning: bezoutr declared as global variable(s) compiling bezoutr£pgcdr: recursive definition£bezoutr: recursive definition£ , // fltk N4xcas8EquationE 26 525 918 43 20 "Done","Done","Done","Done" ] , // fltk 7Fl_Tile 26 570 918 74 20 [ // fltk N4xcas19Multiline_Input_tabE 26 570 918 30 20 bezout(15,20) , // fltk N4xcas10Log_OutputE 26 600 918 1 20 , // fltk N4xcas8EquationE 26 601 918 43 20 [-1,1,5] ] , // fltk 7Fl_Tile 26 646 918 31 20 [ // fltk N4xcas19Multiline_Input_tabE 26 646 918 30 20 , // fltk N4xcas10Log_OutputE 26 676 918 1 20 ]