{VERSION 2 3 "IBM INTEL NT" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 256 "" 1 24 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 1 24 0 0 0 0 0 1 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 }1 0 0 0 6 6 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Ou tput" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 256 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT 256 24 "Fractions rationnelles \+ :" }}{PARA 256 "" 0 "" {TEXT 257 18 " exemples du cours" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 10 "Exemples 1" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "convert(1/(X^2-1),parfrac,X);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*$,&%\"XG\"\"\"!\"\"F'F(#F'\"\"#*$,&F&F'F'F'F(#F(F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "convert(1/(X^3-1),parfrac ,X);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*$,&%\"XG\"\"\"!\"\"F'F(#F' \"\"$*&,&F&F'\"\"#F'F',(*$F&F-F'F&F'F'F'F(#F(F*" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 41 "convert(1/(X^3-1),parfrac,X,\{I,sqrt(3)\});" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*&,&!\"\"\"\"\"*&%\"IGF'\"\"$#F'\" \"#F'F',(%\"XGF,F'F'F(F&F&#F'F**&,&F'F'F(F'F',(F.F,F'F'F(F'F&#F&F**$,& F.F'F&F'F&F/" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "convert(1/( X^4-1),parfrac,X,\{I\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,**&%\"IG \"\"\",&%\"XGF&F%!\"\"F)#F&\"\"%*&F%F&,&F(F&F%F&F)#F)F+*$,&F(F&F)F&F)F **$,&F(F&F&F&F)F." }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 10 "Exemples 2 " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "convert((X+1)/(X-1)^2,pa rfrac,X);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*$,&%\"XG\"\"\"!\"\"F'! \"#\"\"#*$F%F(F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "convert ((2*X^2+1)/(X-1)^2,parfrac,X);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(\" \"#\"\"\"*$,&%\"XGF%!\"\"F%!\"#\"\"$*$F'F)\"\"%" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 47 "convert((X^3+X+1)/((X-1)^2*(X+1)^2),parfrac,X) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,**$,&%\"XG\"\"\"!\"\"F'!\"##\"\" $\"\"%*$F%F(#F'F,*$,&F&F'F'F'F)#F(F,*$F0F(F*" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 9 "Exemple 3" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "convert((X^2+1)/(X-1)^7,parfrac,X);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*$,&%\"XG\"\"\"!\"\"F'!\"(\"\"#*$F%!\"'F**$F%!\"&F'" }}}} {SECT 0 {PARA 3 "" 0 "" {TEXT -1 9 "Exemple 4" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "convert((2*X^2-X+1)/((X-1)^3*(X+1)^3),parfrac,X) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,,*$,&%\"XG\"\"\"!\"\"F'!\"$#F'\" \"%*$F%F(#F'\"#;*$,&F&F'F'F'F)#F(\"\"#*$F0!\"##F(\"\")*$F0F(#F(F." }}} }{SECT 0 {PARA 3 "" 0 "" {TEXT -1 14 "Exemple 5 et 6" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "convert((X^2+X+1)/((X^2+1)*(X^2-1)),parfr ac,X);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*$,&%\"XG\"\"\"!\"\"F'F(# \"\"$\"\"%*$,&F&F'F'F'F(#F(F+*&F&F',&*$F&\"\"#F'F'F'F(#F(F2" }}}} {SECT 0 {PARA 3 "" 0 "" {TEXT -1 9 "Exemple 7" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "convert((X+1)/((X^2+X+1)*(X^2-X+1)),parfrac,X); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*&%\"XG\"\"\",(*$F%\"\"#F&F%F&F& F&!\"\"#F&F)*&,&!\"#F&F%F&F&,(F(F&F%F*F&F&F*#F*F)" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 9 "Exemple 8" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "convert(1/((X+1)*(X^2+X+1)^2),parfrac,X);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*$,&%\"XG\"\"\"F'F'!\"\"F'*&F&F',(*$F&\"\"#F'F&F'F'F' F(F(*&F&F'F*!\"#F(" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 9 "Exemple 9 " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "convert((X^2+1)/(X^3+1)^ 2,parfrac,X);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,**$,&%\"XG\"\"\"F'F' !\"##\"\"#\"\"**$F%!\"\"F)*&,&F&F'F-F'F',(*$F&F*F'F&F-F'F'F-#F(F+*$F0F (#F'\"\"$" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 10 "Exemple 10" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "convert((X+1)/((X^2+1)^3*(X^ 2-X+1)),parfrac,X);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,**&,&\"\"#\"\" \"%\"XGF'F',&*$F(F&F'F'F'!\"\"F'*&,&F'F'F(F&F'F)!\"#F'*&,&F(F'F+F'F'F) !\"$F'*&,&F(F'F'F'F',(F*F'F(F+F'F'F+F+" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 10 "Exemple 11" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "c onvert((X^2+1)/(X^4+X^2+1),parfrac,X);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*$,(*$%\"XG\"\"#\"\"\"F'F)F)F)!\"\"#F)F(*$,(F&F)F'F*F)F)F*F+" }}}}}{MARK "1 4 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }