{VERSION 16 0 "Mac OS X" "16.0" } {USTYLETAB {PSTYLE "Ordered List 1" -1 200 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 0 2 0 2 2 -1 1 } {PSTYLE "Ordered List 2" -1 201 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 36 2 0 2 2 -1 1 }{PSTYLE "Ordered List 3" -1 202 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 72 2 0 2 2 -1 1 }{PSTYLE "Ordered List 4" -1 203 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 108 2 0 2 2 -1 1 }{PSTYLE "Ordered List 5" -1 204 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 144 2 0 2 2 -1 1 }{PSTYLE "Author" -1 19 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }3 1 0 0 8 8 2 0 2 0 2 2 -1 1 }{PSTYLE "Warning" -1 7 1 {CSTYLE "" -1 -1 "Courier New" 1 12 0 0 255 1 2 2 2 2 2 1 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Annotation Title" -1 205 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 0 0 1 }3 1 0 0 12 12 2 0 2 0 2 2 -1 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Ti mes" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }3 1 0 0 0 0 2 0 2 0 2 2 -1 1 } {PSTYLE "Line Printed Output" -1 6 1 {CSTYLE "" -1 -1 "Courier New" 1 12 0 0 255 1 2 2 2 2 2 1 2 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 } {PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier New" 1 12 0 0 255 1 2 2 2 2 2 1 3 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Diag nostic" -1 9 1 {CSTYLE "" -1 -1 "Courier New" 1 12 40 120 40 1 2 2 2 2 2 1 2 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Ti mes" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }3 1 0 0 0 0 2 0 2 0 2 2 -1 1 } {PSTYLE "Dash Item" -1 16 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 0 2 0 2 2 -1 1 }{PSTYLE "HyperlinkError " -1 206 1 {CSTYLE "" -1 -1 "Courier New" 1 12 255 0 255 1 2 2 1 2 2 1 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Error" -1 8 1 {CSTYLE "" -1 -1 "Courier New" 1 12 255 0 255 1 2 2 2 2 2 1 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Title" -1 18 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 0 0 1 }3 1 0 0 12 12 2 0 2 0 2 2 -1 1 } {PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 0 0 1 }1 1 0 0 8 4 2 0 2 0 2 2 -1 1 }{PSTYLE "Bullet Item" -1 15 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 0 2 0 2 2 -1 1 }{PSTYLE "Heading 4" -1 20 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 1 2 2 2 2 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Heading 3" -1 5 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 1 1 2 2 2 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Heading 2" -1 4 1 {CSTYLE "" -1 -1 "Times" 1 16 0 0 0 1 2 1 2 2 2 2 1 0 0 1 }1 1 0 0 8 2 2 0 2 0 2 2 -1 1 }{PSTYLE "HyperlinkWarning" -1 207 1 {CSTYLE "" -1 -1 "Courier New" 1 12 0 0 255 1 2 2 1 2 2 1 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "List Item" -1 14 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 0 2 0 2 2 -1 1 } {CSTYLE "Annotation Text" -1 200 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Caption Reference" -1 201 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "Maple Input Placeholder" -1 202 "Courier New" 1 12 200 0 200 1 2 1 2 2 1 2 0 0 0 1 }{CSTYLE "Code" -1 203 "Courier New " 1 12 255 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "2D Inert Output" -1 204 "Times" 1 12 144 144 144 1 2 2 2 2 1 2 0 0 0 1 }{CSTYLE "Hyperlink" -1 17 "Times" 1 12 0 128 128 1 2 2 1 2 2 2 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Maple Input" -1 0 "Courier New" 1 12 255 0 0 1 2 1 2 2 1 2 0 0 0 1 }{CSTYLE "2D Out put" -1 20 "Times" 1 12 0 0 255 1 2 2 2 2 2 1 0 0 0 1 }{CSTYLE "2D Inp ut" -1 19 "Times" 1 12 0 0 0 1 2 2 2 2 1 2 0 0 0 1 }{CSTYLE "Header an d Footer" -1 205 "Times" 1 10 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Te xt" -1 206 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Equation Label" -1 207 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "Dict ionary Hyperlink" -1 45 "Times" 1 12 147 0 15 1 2 2 1 2 2 2 0 0 0 1 } {CSTYLE "Caption Text" -1 208 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "Typesetting:-mrow(Typesetting:-mi(\"r estart\", italic = \"true\", mathvariant = \"italic\"), Typesetting:-m o(\";\", mathvariant = \"normal\", fence = \"false\", separator = \"tr ue\", stretchy = \"false\", symmetric = \"false\", largeop = \"false\" , movablelimits = \"false\", accent = \"false\", lspace = \"0.0em\", r space = \"0.2777778em\"), Typesetting:-mo(\" \", mathvariant = \"norma l\", fence = \"false\", separator = \"false\", stretchy = \"false\", s ymmetric = \"false\", largeop = \"false\", movablelimits = \"false\", \+ accent = \"false\", lspace = \"0.0em\", rspace = \"0.0em\"), Typesetti ng:-mi(\"with\", italic = \"true\", mathvariant = \"italic\"), Typeset ting:-mfenced(Typesetting:-mrow(Typesetting:-mi(\"liesymm\", italic = \+ \"true\", mathvariant = \"italic\")), mathvariant = \"normal\"), Types etting:-mo(\";\", mathvariant = \"normal\", fence = \"false\", separat or = \"true\", stretchy = \"false\", symmetric = \"false\", largeop = \+ \"false\", movablelimits = \"false\", accent = \"false\", lspace = \"0 .0em\", rspace = \"0.2777778em\"));" "-I%mrowG6#/I+modulenameG6\"I,Typ esettingGI(_syslibGF'6(-I#miGF$6%Q(restartF'/%'italicGQ%trueF'/%,mathv ariantGQ'italicF'-I#moGF$6-Q\";F'/F3Q'normalF'/%&fenceGQ&falseF'/%*sep aratorGF1/%)stretchyGF=/%*symmetricGF=/%(largeopGF=/%.movablelimitsGF= /%'accentGF=/%'lspaceGQ&0.0emF'/%'rspaceGQ,0.2777778emF'-F66-Q\"~F'F9F ;/F?F=F@FBFDFFFHFJ/FNFL-F,6%Q%withF'F/F2-I(mfencedGF$6$-F#6#-F,6%Q(lie symmF'F/F2F9F5" }}{PARA 11 "" 1 "" {XPPMATH 20 "7AI#&^G6\"I%&modGF$I$E taGF$I$LieGF$I&LrankGF$I#TDGF$I&annulGF$I)autosimpGF$I&closeGI(_syslib GF$I\"dGF$I(depvarsGF$I*determineGF$I'dvalueGF$I'extgenGF$I(extvarsGF$ I)getcoeffGF$I(getformGF$I+hasclosureGF$I%hookGF$I*indepvarsGF$I*makef ormsGF$I'mixparGF$I(prolongGF$I'reduceGF$I&setupGF$I*translateGF$I%vfi xGF$I)wcollectGF$I(wdegreeGF$I)wedgesetGF$I&wsubsGF$" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "setup(z, x, y, s, Z, X, S);" "-I%mrowG6#/I+ modulenameG6\"I,TypesettingGI(_syslibGF'6%-I#miGF$6%Q&setupF'/%'italic GQ%trueF'/%,mathvariantGQ'italicF'-I(mfencedGF$6$-F#6/-F,6%Q\"zF'F/F2- I#moGF$6-Q\",F'/F3Q'normalF'/%&fenceGQ&falseF'/%*separatorGF1/%)stretc hyGFE/%*symmetricGFE/%(largeopGFE/%.movablelimitsGFE/%'accentGFE/%'lsp aceGQ&0.0emF'/%'rspaceGQ,0.3333333emF'-F,6%Q\"xF'F/F2F=-F,6%Q\"yF'F/F2 F=-F,6%Q\"sF'F/F2F=-F,6%Q\"ZF'F/F2F=-F,6%Q\"XF'F/F2F=-F,6%Q\"SF'F/F2FA -F>6-Q\";F'FAFCFFFHFJFLFNFPFR/FVQ,0.2777778emF'" }}{PARA 11 "" 1 "" {XPPMATH 20 "7)I\"zG6\"I\"xGF$I\"yGF$I\"sGF$I\"ZGF$I\"XGF$I\"SGF$" }}} {EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "" "%#%?G" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 206 180 "On donne ici les 1- formes qui donnent le feuille tage d\303\251crit au d\303\251but de la partie \"Quotient\" (ces 1- f ormes sont not\303\251s avec un chapeau dans l'article i.e. \"alpha ch apeau\" etc... )" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "alpha := \+ `+`(`-`(`/`(`*`(5, `*`(x, `*`(`+`(`*`(3, `*`(y)), 1), `*`(`+`(`-`(y), \+ `*`(3, `*`(x))), `*`(d(x)))))), `*`(`+`(`-`(`*`(2, `*`(`^`(y, 2)))), ` -`(`*`(9, `*`(y))), `*`(30, `*`(y, `*`(x))), `*`(9, `*`(`^`(x, 2)))), \+ `*`(`+`(`-`(y), `*`(27, `*`(`^`(x, 2))), `-`(`*`(6, `*`(x)))))))), `-` (`/`(`*`(`/`(5, 12), `*`(`+`(`*`(18, `*`(`^`(y, 2), `*`(x))), `-`(`*`( 10, `*`(`^`(y, 2)))), `*`(162, `*`(y, `*`(`^`(x, 2)))), `-`(`*`(45, `* `(y, `*`(x)))), `*`(81, `*`(`^`(x, 3))), `-`(`*`(18, `*`(`^`(x, 2))))) , `*`(x, `*`(d(y))))), `*`(`+`(`-`(`*`(2, `*`(`^`(y, 2)))), `-`(`*`(9, `*`(y))), `*`(30, `*`(y, `*`(x))), `*`(9, `*`(`^`(x, 2)))), `*`(y, `* `(`+`(`-`(y), `*`(27, `*`(`^`(x, 2))), `-`(`*`(6, `*`(x))))))))));" "- I%mrowG6#/I+modulenameG6\"I,TypesettingGI(_syslibGF'6+-I#miGF$6%Q(&alp ha;F'/%'italicGQ&falseF'/%,mathvariantGQ'normalF'-I#moGF$6-Q#:=F'F2/%& fenceGF1/%*separatorGF1/%)stretchyGF1/%*symmetricGF1/%(largeopGF1/%.mo vablelimitsGF1/%'accentGF1/%'lspaceGQ,0.2777778emF'/%'rspaceGFI-F66-Q* &uminus0;F'F2F9F;F=F?FAFCFE/FHQ,0.2222222emF'/FKFP-I&mfracGF$6(-F#6+-I #mnGF$6$Q\"5F'F2-F66-Q1⁢F'F2F9F;F=F?FAFCFE/FHQ&0.0emF'/ FKFin-F,6%Q\"xF'/F0Q%trueF'/F3Q'italicF'Fen-I(mfencedGF$6$-F#6%-F#6%-F X6$Q\"3F'F2Fen-F,6%Q\"yF'F^oF`o-F66-Q\"+F'F2F9F;F=F?FAFCFEFOFQ-FX6$Q\" 1F'F2F2Fen-Fco6$-F#6&FLF\\pF_p-F#6%FioFenF[oF2Fen-F#6%-F,6%Q\"dF'F^oF` o-F66-Q0⁡F'F2F9F;F=F?FAFCFEFhnFjn-Fco6$-F#6#F[oF2-F#6%-F co6$-F#6*FL-F#6%-FX6$Q\"2F'F2Fen-I%msupGF$6%F\\pF_r/%1superscriptshift GQ\"0F'-F66-Q(−F'F2F9F;F=F?FAFCFEFOFQ-F#6%-FX6$Q\"9F'F2FenF\\pF_ p-F#6'-FX6$Q#30F'F2FenF\\pFenF[oF_p-F#6%F]sFen-Fcr6%F[oF_rFerF2Fen-Fco 6$-F#6(FLF\\pF_p-F#6%-FX6$Q#27F'F2FenFgsFhr-F#6%-FX6$Q\"6F'F2FenF[oF2/ %.linethicknessGFdp/%+denomalignGQ'centerF'/%)numalignGF[u/%)bevelledG F1Fhr-FS6(FW-FX6$Q#12F'F2FgtFitF\\uF^uFen-FS6(-F#6'-Fco6$-F#6--F#6'-FX 6$Q#18F'F2FenFbrFenF[oFhr-F#6%-FX6$Q#10F'F2FenFbrF_p-F#6'-FX6$Q$162F'F 2FenF\\pFenFgsFhr-F#6'-FX6$Q#45F'F2FenF\\pFenF[oF_p-F#6%-FX6$Q#81F'F2F en-Fcr6%F[oFioFerFhr-F#6%F_vFenFgsF2FenF[oFen-F#6%F]qF`q-Fco6$-F#6#F \\pF2-F#6'FiqFenF\\pFenFisFgtFitF\\uF^u-F66-Q\";F'F2F9/F " 0 "" {XPPEDIT 19 1 "beta := `+`(`/`(`*`(`/`(1, 6), `*`(`+`(`-`(`*`(75, `*`(`^`(y, 3), `*`(x)))), `*`(12, `*`(`^`(y, 3))) , `*`(54, `*`(`^`(y, 2))), `-`(`*`(45, `*`(`^`(y, 2), `*`(`^`(x, 2)))) ), `-`(`*`(40, `*`(`^`(y, 2), `*`(x)))), `-`(`*`(1212, `*`(y, `*`(`^`( x, 2))))), `*`(810, `*`(y, `*`(`^`(x, 3)))), `*`(265, `*`(y, `*`(x))), `-`(`*`(216, `*`(`^`(x, 3)))), `*`(15, `*`(`^`(x, 2)))), `*`(d(x)))), `*`(`+`(`-`(`*`(2, `*`(`^`(y, 2)))), `-`(`*`(9, `*`(y))), `*`(30, `*` (y, `*`(x))), `*`(9, `*`(`^`(x, 2)))), `*`(x, `*`(`+`(`-`(y), `*`(27, \+ `*`(`^`(x, 2))), `-`(`*`(6, `*`(x)))))))), `/`(`*`(`/`(1, 72), `*`(`+` (`-`(`*`(966, `*`(`^`(y, 4)))), `*`(1350, `*`(`^`(y, 4), `*`(x))), `-` (`*`(256, `*`(`^`(y, 3)))), `-`(`*`(4707, `*`(`^`(y, 3), `*`(x)))), `* `(17010, `*`(`^`(y, 3), `*`(`^`(x, 2)))), `-`(`*`(428, `*`(`^`(y, 2))) ), `*`(49815, `*`(`^`(y, 2), `*`(`^`(x, 3)))), `-`(`*`(17064, `*`(`^`( y, 2), `*`(`^`(x, 2))))), `*`(2466, `*`(`^`(y, 2), `*`(x))), `-`(`*`(1 845, `*`(y, `*`(x)))), `-`(`*`(30780, `*`(y, `*`(`^`(x, 3))))), `*`(14 508, `*`(y, `*`(`^`(x, 2)))), `*`(21870, `*`(y, `*`(`^`(x, 4)))), `-`( `*`(90, `*`(`^`(x, 2)))), `*`(1701, `*`(`^`(x, 3))), `-`(`*`(5832, `*` (`^`(x, 4))))), `*`(d(y)))), `*`(`+`(`-`(`*`(2, `*`(`^`(y, 2)))), `-`( `*`(9, `*`(y))), `*`(30, `*`(y, `*`(x))), `*`(9, `*`(`^`(x, 2)))), `*` (y, `*`(`+`(`-`(y), `*`(27, `*`(`^`(x, 2))), `-`(`*`(6, `*`(x)))), `*` (`+`(`*`(3, `*`(y)), 1)))))));" "-I%mrowG6#/I+modulenameG6\"I,Typesett ingGI(_syslibGF'6,-I#miGF$6%Q'βF'/%'italicGQ&falseF'/%,mathvarian tGQ'normalF'-I#moGF$6-Q#:=F'F2/%&fenceGF1/%*separatorGF1/%)stretchyGF1 /%*symmetricGF1/%(largeopGF1/%.movablelimitsGF1/%'accentGF1/%'lspaceGQ ,0.2777778emF'/%'rspaceGFI-I&mfracGF$6(-I#mnGF$6$Q\"1F'F2-FP6$Q\"6F'F2 /%.linethicknessGFR/%+denomalignGQ'centerF'/%)numalignGFZ/%)bevelledGF 1-F66-Q1⁢F'F2F9F;F=F?FAFCFE/FHQ&0.0emF'/FKF]o-FM6(-F#6% -I(mfencedGF$6$-F#66-F66-Q*&uminus0;F'F2F9F;F=F?FAFCFE/FHQ,0.2222222em F'/FKF\\p-F#6'-FP6$Q#75F'F2Fin-I%msupGF$6%-F,6%Q\"yF'/F0Q%trueF'/F3Q'i talicF'-FP6$Q\"3F'F2/%1superscriptshiftGQ\"0F'Fin-F,6%Q\"xF'FipF[q-F66 -Q\"+F'F2F9F;F=F?FAFCFEF[pF]p-F#6%-FP6$Q#12F'F2FinFcpFfq-F#6%-FP6$Q#54 F'F2Fin-Fdp6%Ffp-FP6$Q\"2F'F2F`q-F66-Q(−F'F2F9F;F=F?FAFCFEF[pF]p -F#6'-FP6$Q#45F'F2FinFcrFin-Fdp6%FcqFerF`qFhr-F#6'-FP6$Q#40F'F2FinFcrF inFcqFhr-F#6'-FP6$Q%1212F'F2FinFfpFinF`sFfq-F#6'-FP6$Q$810F'F2FinFfpFi n-Fdp6%FcqF]qF`qFfq-F#6'-FP6$Q$265F'F2FinFfpFinFcqFhr-F#6%-FP6$Q$216F' F2FinFatFfq-F#6%-FP6$Q#15F'F2FinF`sF2Fin-F#6%-F,6%Q\"dF'FipF[q-F66-Q0& ApplyFunction;F'F2F9F;F=F?FAFCFEF\\oF^o-Fdo6$-F#6#FcqF2-F#6'-Fdo6$-F#6 *Fho-F#6%FerFinFcrFhr-F#6%-FP6$Q\"9F'F2FinFfpFfq-F#6'-FP6$Q#30F'F2FinF fpFinFcqFfq-F#6%FhvFinF`sF2FinFcqFin-Fdo6$-F#6(FhoFfpFfq-F#6%-FP6$Q#27 F'F2FinF`sFhr-F#6%FSFinFcqF2FVFXFenFgnFfq-FM6(FO-FP6$Q#72F'F2FVFXFenFg nFin-FM6(-F#6%-Fdo6$-F#6BFho-F#6%-FP6$Q$966F'F2Fin-Fdp6%Ffp-FP6$Q\"4F' F2F`qFfq-F#6'-FP6$Q%1350F'F2FinF_yFinFcqFhr-F#6%-FP6$Q$256F'F2FinFcpFh r-F#6'-FP6$Q%4707F'F2FinFcpFinFcqFfq-F#6'-FP6$Q&17010F'F2FinFcpFinF`sF hr-F#6%-FP6$Q$428F'F2FinFcrFfq-F#6'-FP6$Q&49815F'F2FinFcrFinFatFhr-F#6 '-FP6$Q&17064F'F2FinFcrFinF`sFfq-F#6'-FP6$Q%2466F'F2FinFcrFinFcqFhr-F# 6'-FP6$Q%1845F'F2FinFfpFinFcqFhr-F#6'-FP6$Q&30780F'F2FinFfpFinFatFfq-F #6'-FP6$Q&14508F'F2FinFfpFinF`sFfq-F#6'-FP6$Q&21870F'F2FinFfpFin-Fdp6% FcqFayF`qFhr-F#6%-FP6$Q#90F'F2FinF`sFfq-F#6%-FP6$Q%1701F'F2FinFatFhr-F #6%-FP6$Q%5832F'F2FinF`]lF2Fin-F#6%FduFgu-Fdo6$-F#6#FfpF2-F#6)F`vFinFb wFinFfpFin-Fdo6$-F#6%-F#6%F]qFinFfpFfqFOF2FVFXFenFgn-F66-Q\";F'F2F9/F< FjpF=F?FAFCFEF\\oFJ" }}{PARA 11 "" 1 "" {XPPMATH 20 ",&*,,6*&I\"yG6\" \"\"$I\"xGF'\"\"\"!#v*$F&F(\"#7*$F&\"\"#\"#a*&F&F/F)F/!#X*&F&F/F)F*!#S *&F&F*F)F/!%77*&F&F*F)F(\"$5)*&F&F*F)F*\"$l#*$F)F(!$;#*$F)F/\"#:F*-I\" dGF'6#F)F*,*F.!\"#F&!\"*F9\"#IF=\"\"*!\"\"F)FG,(F&FGF=\"#FF)!\"'FG#F* \"\"'*.,B*$F&\"\"%!$m**&F&FPF)F*\"%]8F,!$c#F%!%2Z*&F&F(F)F/\"&5q\"F.!$ G%*&F&F/F)F(\"&:)\\F1!&kq\"F3\"%mCF9!%X=F7!&!yIF5\"&3X\"*&F&F*F)FP\"&q =#F=!#!*F;\"%,<*$F)FP!%KeF*-F@6#F&F*FBFGF&FGFHFG,&F&F(F*F*FG#F*\"#s" } }}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "Gamma := `+`(`/`(`*`(`/`(1, \+ 720), `*`(`+`(`*`(1875, `*`(`^`(y, 4))), `-`(`*`(5033, `*`(`^`(y, 3))) ), `-`(`*`(8325, `*`(`^`(y, 3), `*`(x)))), `-`(`*`(67665, `*`(`^`(y, 2 ), `*`(x)))), `*`(2593, `*`(`^`(y, 2))), `*`(226800, `*`(`^`(y, 2), `* `(`^`(x, 2)))), `*`(565, `*`(y)), `*`(2376, `*`(y, `*`(`^`(x, 2)))), ` *`(33, `*`(y, `*`(x))), `-`(`*`(1080, `*`(`^`(x, 2)))), `-`(`*`(75, `* `(x)))), `*`(d(x)))), `*`(`+`(`-`(`*`(2, `*`(`^`(y, 2)))), `-`(`*`(9, \+ `*`(y))), `*`(30, `*`(y, `*`(x))), `*`(9, `*`(`^`(x, 2)))), `*`(x, `*` (`+`(`-`(y), `*`(27, `*`(`^`(x, 2))), `-`(`*`(6, `*`(x)))))))), `-`(`/ `(`*`(`/`(1, 8640), `*`(`+`(`-`(`*`(7950, `*`(`^`(y, 5)))), `*`(33750, `*`(`^`(y, 5), `*`(x))), `-`(`*`(374769, `*`(`^`(y, 4), `*`(x)))), `* `(104906, `*`(`^`(y, 4))), `-`(`*`(36450, `*`(`^`(y, 4), `*`(`^`(x, 2) )))), `*`(776799, `*`(`^`(y, 3), `*`(x))), `-`(`*`(6169500, `*`(`^`(y, 3), `*`(`^`(x, 2))))), `*`(11524275, `*`(`^`(y, 3), `*`(`^`(x, 3)))), `*`(1322, `*`(`^`(y, 3))), `*`(7654500, `*`(`^`(y, 2), `*`(`^`(x, 4)) )), `-`(`*`(71244, `*`(`^`(y, 2), `*`(`^`(x, 2))))), `-`(`*`(2426517, \+ `*`(`^`(y, 2), `*`(`^`(x, 3))))), `-`(`*`(4030, `*`(`^`(y, 2)))), `*`( 72945, `*`(`^`(y, 2), `*`(x))), `*`(1968300, `*`(y, `*`(`^`(x, 5)))), \+ `*`(801900, `*`(y, `*`(`^`(x, 4)))), `*`(224028, `*`(y, `*`(`^`(x, 2)) )), `-`(`*`(17325, `*`(y, `*`(x)))), `-`(`*`(951831, `*`(y, `*`(`^`(x, 3))))), `-`(`*`(450, `*`(`^`(x, 2)))), `*`(393660, `*`(`^`(x, 5))), ` -`(`*`(145800, `*`(`^`(x, 4)))), `*`(14985, `*`(`^`(x, 3)))), `*`(d(y) ))), `*`(`+`(`-`(`*`(2, `*`(`^`(y, 2)))), `-`(`*`(9, `*`(y))), `*`(30, `*`(y, `*`(x))), `*`(9, `*`(`^`(x, 2)))), `*`(x, `*`(`+`(`-`(y), `*`( 27, `*`(`^`(x, 2))), `-`(`*`(6, `*`(x)))), `*`(y, `*`(`+`(`*`(3, `*`(y )), 1)))))))));" "-I%mrowG6#/I+modulenameG6\"I,TypesettingGI(_syslibGF '6.-I#miGF$6%Q&GammaF'/%'italicGQ&falseF'/%,mathvariantGQ'normalF'-I#m oGF$6-Q*≔F'F2/%&fenceGF1/%*separatorGF1/%)stretchyGF1/%*symmet ricGF1/%(largeopGF1/%.movablelimitsGF1/%'accentGF1/%'lspaceGQ,0.277777 8emF'/%'rspaceGFI-I&mfracGF$6(-I#mnGF$6$Q\"1F'F2-FP6$Q$720F'F2/%.linet hicknessGFR/%+denomalignGQ'centerF'/%)numalignGFZ/%)bevelledGF1-F66-Q1 ⁢F'F2F9F;F=F?FAFCFE/FHQ&0.0emF'/FKF]o-FM6(-F#6%-I(mfenc edGF$6$-F#67-F#6%-FP6$Q%1875F'F2Fin-I%msupGF$6%-F,6%Q\"yF'/F0Q%trueF'/ F3Q'italicF'-FP6$Q\"4F'F2/%1superscriptshiftGQ\"0F'-F66-Q(−F'F2F 9F;F=F?FAFCFE/FHQ,0.2222222emF'/FKFaq-F#6%-FP6$Q%5033F'F2Fin-F^p6%F`p- FP6$Q\"3F'F2FjpF]q-F#6'-FP6$Q%8325F'F2FinFhqFin-F,6%Q\"xF'FcpFepF]q-F# 6'-FP6$Q&67665F'F2Fin-F^p6%F`p-FP6$Q\"2F'F2FjpFinFbr-F66-Q\"+F'F2F9F;F =F?FAFCFEF`qFbq-F#6%-FP6$Q%2593F'F2FinFjrF_s-F#6'-FP6$Q'226800F'F2FinF jrFin-F^p6%FbrF\\sFjpF_s-F#6%-FP6$Q$565F'F2FinF`pF_s-F#6'-FP6$Q%2376F' F2FinF`pFinF\\tF_s-F#6'-FP6$Q#33F'F2FinF`pFinFbrF]q-F#6%-FP6$Q%1080F'F 2FinF\\tF]q-F#6%-FP6$Q#75F'F2FinFbrF2Fin-F#6%-F,6%Q\"dF'FcpFep-F66-Q0& ApplyFunction;F'F2F9F;F=F?FAFCFEF\\oF^o-Fdo6$-F#6#FbrF2-F#6'-Fdo6$-F#6 *-F66-Q*&uminus0;F'F2F9F;F=F?FAFCFEF`qFbq-F#6%F\\sFinFjrF]q-F#6%-FP6$Q \"9F'F2FinF`pF_s-F#6'-FP6$Q#30F'F2FinF`pFinFbrF_s-F#6%F`wFinF\\tF2FinF brFin-Fdo6$-F#6(FivF`pF_s-F#6%-FP6$Q#27F'F2FinF\\tF]q-F#6%-FP6$Q\"6F'F 2FinFbrF2FVFXFenFgn-F,6%Q!F'FcpFep-I'mspaceGF$6&/%'heightGQ&0.0exF'/%& widthGF]o/%&depthGF`y/%*linebreakGQ(newlineF'-F\\y6&F^yFayFcy/FfyQ%aut oF'F]q-FM6(FO-FP6$Q%8640F'F2FVFXFenFgnFin-FM6(-F#6%-Fdo6$-F#6PFiv-F#6% -FP6$Q%7950F'F2Fin-F^p6%F`p-FP6$Q\"5F'F2FjpF_s-F#6'-FP6$Q&33750F'F2Fin F^[lFinFbrF]q-F#6'-FP6$Q'374769F'F2FinF]pFinFbrF_s-F#6%-FP6$Q'104906F' F2FinF]pF]q-F#6'-FP6$Q&36450F'F2FinF]pFinF\\tF_s-F#6'-FP6$Q'776799F'F2 FinFhqFinFbrF]q-F#6'-FP6$Q(6169500F'F2FinFhqFinF\\tF_s-F#6'-FP6$Q)1152 4275F'F2FinFhqFin-F^p6%FbrFjqFjpF_s-F#6%-FP6$Q%1322F'F2FinFhqF_s-F#6'- FP6$Q(7654500F'F2FinFjrFin-F^p6%FbrFgpFjpF]q-F#6'-FP6$Q&71244F'F2FinFj rFinF\\tF]q-F#6'-FP6$Q(2426517F'F2FinFjrFinFf]lF]q-F#6%-FP6$Q%4030F'F2 FinFjrF_s-F#6'-FP6$Q&72945F'F2FinFjrFinFbrF_s-F#6'-FP6$Q(1968300F'F2Fi nF`pFin-F^p6%FbrF`[lFjpF_s-F#6'-FP6$Q'801900F'F2FinF`pFinFb^lF_s-F#6'- FP6$Q'224028F'F2FinF`pFinF\\tF]q-F#6'-FP6$Q&17325F'F2FinF`pFinFbrF]q-F #6'-FP6$Q'951831F'F2FinF`pFinFf]lF]q-F#6%-FP6$Q$450F'F2FinF\\tF_s-F#6% -FP6$Q'393660F'F2FinF]`lF]q-F#6%-FP6$Q'145800F'F2FinFb^lF_s-F#6%-FP6$Q &14985F'F2FinFf]lF2Fin-F#6%FiuF\\v-Fdo6$-F#6#F`pF2-F#6+FevFinFbrFinFjw FinF`pFin-Fdo6$-F#6%-F#6%FjqFinF`pF_sFOF2FVFXFenFgn" }}{PARA 11 "" 1 " " {XPPMATH 20 ",&*,,8*$I\"yG6\"\"\"%\"%v=*$F&\"\"$!%L]*&F&F+I\"xGF'\" \"\"!%D$)*&F&\"\"#F.F/!&lw'*$F&F2\"%$f#*&F&F2F.F2\"'+oAF&\"$l&*&F&F/F. F2\"%wB*&F&F/F.F/\"#L*$F.F2!%!3\"F.!#vF/-I\"dGF'6#F.F/,*F4!\"#F&!\"*F; \"#IF=\"\"*!\"\"F.FH,(F&FHF=\"#FF.!\"'FH#F/\"$?(*0,P*$F&\"\"&!%]z*&F&F QF.F/\"&]P$*&F&F(F.F/!'pZPF%\"'1\\5*&F&F(F.F2!&]k$F-\"'*zw(*&F&F+F.F2! (+&ph*&F&F+F.F+\")vU_6F*\"%A8*&F&F2F.F(\"(+Xl(F6!&W7(*&F&F2F.F+!(*&F&F/F.F(\"'+>!)F9\"'GSAF;!&Dt\"*&F&F/F .F+!'J=&*F=!$]%*$F.FQ\"'gOR*$F.F(!'+e9*$F.F+\"&&)\\\"F/-FA6#F&F/FCFHF. FHFIFHF&FH,&F&F+F/F/FH#FH\"%S')" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "" "%#%?G" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 206 43 "On v\303\251ri fie l'int\303\251grabilit\303\251 du feuilletage :" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "tau := `+`(`-`(d(z)), alpha, `*`(beta, `*`(z) ), `*`(`*`(Gamma, `*`(z)), z)):" "-I%mrowG6#/I+modulenameG6\"I,Typeset tingGI(_syslibGF'6:-I#miGF$6%Q$tauF'/%'italicGQ&falseF'/%,mathvariantG Q'normalF'-I#moGF$6-Q*≔F'F2/%&fenceGF1/%*separatorGF1/%)stretc hyGF1/%*symmetricGF1/%(largeopGF1/%.movablelimitsGF1/%'accentGF1/%'lsp aceGQ,0.2777778emF'/%'rspaceGFI-F66-Q*&uminus0;F'F2F9F;F=F?FAFCFE/FHQ, 0.2222222emF'/FKFP-F,6%Q\"dF'/F0Q%trueF'/F3Q'italicF'-I(mfencedGF$6$-F #6#-F,6%Q\"zF'FUFWF2-F66-Q\"+F'F2F9F;F=F?FAFCFEFOFQ-F,6%Q&alphaF'F/F2F [o-F,6%Q%betaF'F/F2-F66-Q'⋅F'F2F9F;F=F?FAFCFE/FHQ&0.0emF'/FKFhoFh nF[o-F,6%Q&GammaF'F/F2FdoFhnFdoFhn-F66-Q\":F'F2F9F;F=F?FAFCFEFGFJ-I'ms paceGF$6&/%'heightGQ&0.0exF'/%&widthGFho/%&depthGFep/%*linebreakGQ(new lineF'-Fap6&FcpFfpFhp/F[qQ%autoF'-F66-Q\"~F'F2F9F;F=F?FAFCFEFgoFio-F,6 %F4FUFW-FZ6$-F#6(F+Faq-F66-Q\"&F'F2F9F;F=F?FAFCFEFgoFio-F66-Q\"^F'F2F9 F;F=F?FAFCFE/FHQ,0.1111111emF'/FKFarFR-FZ6$-F#6#F+F2F2-F66-Q\";F'F2F9/ F " 0 "" {XPPEDIT 19 1 "" "%#%?G" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 206 226 "On consid\303\250re x, y et z comme des coordonn\303\25 1es affines sur P1, on veut montrer que le feuilletage Rchap d\303\25 1fini par tau est le quotient par un groupe d'ordre 4 du feuilletage d e Riccati R associ\303\251 \303\240 notre solution de Painlev\303\251 \+ VI." }}}{EXCHG {PARA 0 "" 0 "" {TEXT 206 119 " Pour ce faire on va con sid\303\251rer le tir\303\251 en arri\303\250re R1 de Rchap par le rev \303\252tement de degr\303\251 4 rev:=(Id x Id x r) o\303\271 r(s)=" } {XPPEDIT 2 0 "Typesetting:-mrow(Typesetting:-mfrac(Typesetting:-mrow(T ypesetting:-mn(\"4\", mathvariant = \"normal\"), Typesetting:-mo(\"&In visibleTimes;\", mathvariant = \"normal\", fence = \"false\", separato r = \"false\", stretchy = \"false\", symmetric = \"false\", largeop = \+ \"false\", movablelimits = \"false\", accent = \"false\", lspace = \"0 .0em\", rspace = \"0.0em\"), Typesetting:-msup(Typesetting:-mi(\"s\", \+ italic = \"true\", mathvariant = \"italic\"), Typesetting:-mn(\"2\", m athvariant = \"normal\"), superscriptshift = \"0\")), Typesetting:-mro w(Typesetting:-msup(Typesetting:-mfenced(Typesetting:-mrow(Typesetting :-msup(Typesetting:-mi(\"s\", italic = \"true\", mathvariant = \"itali c\"), Typesetting:-mn(\"2\", mathvariant = \"normal\"), superscriptshi ft = \"0\"), Typesetting:-mo(\"−\", mathvariant = \"normal\", fe nce = \"false\", separator = \"false\", stretchy = \"false\", symmetri c = \"false\", largeop = \"false\", movablelimits = \"false\", accent \+ = \"false\", lspace = \"0.2222222em\", rspace = \"0.2222222em\"), Type setting:-mn(\"3\", mathvariant = \"normal\")), mathvariant = \"normal \"), Typesetting:-mn(\"2\", mathvariant = \"normal\"), superscriptshif t = \"0\")), linethickness = \"1\", denomalign = \"center\", numalign \+ = \"center\", bevelled = \"false\"), Typesetting:-mi(\"\", italic = \" true\", mathvariant = \"italic\"));" "-I%mrowG6#/I+modulenameG6\"I,Typ esettingGI(_syslibGF'6$-I&mfracGF$6(-F#6%-I#mnGF$6$Q\"4F'/%,mathvarian tGQ'normalF'-I#moGF$6-Q1⁢F'F4/%&fenceGQ&falseF'/%*separ atorGF=/%)stretchyGF=/%*symmetricGF=/%(largeopGF=/%.movablelimitsGF=/% 'accentGF=/%'lspaceGQ&0.0emF'/%'rspaceGFL-I%msupGF$6%-I#miGF$6%Q\"sF'/ %'italicGQ%trueF'/F5Q'italicF'-F16$Q\"2F'F4/%1superscriptshiftGQ\"0F'- F#6#-FP6%-I(mfencedGF$6$-F#6%FO-F86-Q(−F'F4F;F>F@FBFDFFFH/FKQ,0. 2222222emF'/FNFho-F16$Q\"3F'F4F4FenFhn/%.linethicknessGQ\"1F'/%+denoma lignGQ'centerF'/%)numalignGFbp/%)bevelledGF=-FS6%Q!F'FVFY" }}}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 206 169 "Dans cette situation Rchap est le quotient de R1 par le groupe d'automorphisme du rev\303\252tement galoisien rev (un petit c alcul montre que ce groupe est le groupe de Klein)." }}}{EXCHG {PARA 0 "" 0 "" {TEXT 206 237 "Il suffit alors de montrer que R1 est biration nellement conjugu\303\251 \303\240 R. pour ce faire il suffit de montr er que la famille R_s coincide avec la famille R1_s, pour un bon choix de coordonn\303\251es X=B_s.x et un bon choix de coordonn\303\251e Z= A_(s,x).z" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 206 92 "o\303\271 B_s et A_ (s,x) sont des \303\251l\303\251ments de GL_2(C) qui d\303\251pendent \+ de s et (s,x) respectivement." }}}{EXCHG {PARA 0 "" 0 "" {TEXT 206 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 206 61 "Commencons par tirer en a rri\303\250re tau par rev, on obtient tau1." }}}{EXCHG {PARA 0 "" 0 "" {TEXT 206 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "tau1 := wsu bs(y = `+`(`/`(`*`(4, `*`(`^`(s, 2))), `*`(`^`(`+`(`*`(`^`(s, 2)), `-` (3)), 2)))), tau);" "-I%mrowG6#/I+modulenameG6\"I,TypesettingGI(_sysli bGF'6'-I#miGF$6%Q%tau1F'/%'italicGQ%trueF'/%,mathvariantGQ'italicF'-I# moGF$6-Q*≔F'/F3Q'normalF'/%&fenceGQ&falseF'/%*separatorGF=/%)s tretchyGF=/%*symmetricGF=/%(largeopGF=/%.movablelimitsGF=/%'accentGF=/ %'lspaceGQ,0.2777778emF'/%'rspaceGFL-F,6%Q&wsubsF'F/F2-I(mfencedGF$6$- F#6'-F,6%Q\"yF'F/F2-F66-Q\"=F'F9F;F>F@FBFDFFFHFJFM-I&mfracGF$6(-F#6%-I #mnGF$6$Q\"4F'F9-F66-Q1⁢F'F9F;F>F@FBFDFFFH/FKQ&0.0emF'/ FNFdo-I%msupGF$6%-F,6%Q\"sF'F/F2-F]o6$Q\"2F'F9/%1superscriptshiftGQ\"0 F'-F#6#-Fgo6%-FS6$-F#6%Ffo-F66-Q(−F'F9F;F>F@FBFDFFFH/FKQ,0.22222 22emF'/FNF^q-F]o6$Q\"3F'F9F9F\\pF_p/%.linethicknessGQ\"1F'/%+denomalig nGQ'centerF'/%)numalignGFhq/%)bevelledGF=-F66-Q\",F'F9F;/F?F1F@FBFDFFF HFco/FNQ,0.3333333emF'-F,6%Q$tauF'/F0F=F9F9-F66-Q\";F'F9F;F`rF@FBFDFFF HFcoFM" }}{PARA 11 "" 1 "" {XPPMATH 20 ",,-I\"dG6\"6#I\"zGF%!\"\"*.I\" xGF%\"\"\",&*&I\"sGF%\"\"#,&*$F.F/F+!\"$F+!\"#\"#7F+F+F+,&F-!\"%F*\"\" $F+-F$6#F*F+,**&F.\"\"%F0F6!#KF-!#O*(F.F/F0F3F*F+\"$?\"*$F*F/\"\"*F(,( F-F6FA\"#FF*!\"'F(!\"&*0,.*(F.F " 0 "" {XPPEDIT 19 1 "" "%#%?G" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 206 77 "On va utiliser une proc\303\251dure qui \303\251crit les \303\251quations \+ de fa\303\247on plus agr\303\251able." }}}{EXCHG {PARA 0 "" 0 "" {TEXT 206 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "BR := proc (z, x, y, omega) return `+`(`-`(d(z)), `*`(convert(`+`(`-`(`/`(`*`(coeff(ome ga, d(x))), `*`(coeff(omega, d(z)))))), parfrac, x), `*`(d(x))), `*`(c onvert(`+`(`-`(`/`(`*`(coeff(omega, d(y))), `*`(coeff(omega, d(z)))))) , parfrac, y), `*`(d(y)))) end proc;" "-I%mrowG6#/I+modulenameG6\"I,Ty pesettingGI(_syslibGF'6A-I#miGF$6%Q#BRF'/%'italicGQ%trueF'/%,mathvaria ntGQ'italicF'-I#moGF$6-Q*≔F'/F3Q'normalF'/%&fenceGQ&falseF'/%* separatorGF=/%)stretchyGF=/%*symmetricGF=/%(largeopGF=/%.movablelimits GF=/%'accentGF=/%'lspaceGQ,0.2777778emF'/%'rspaceGFL-F66/Q%procF'/%%bo ldGF1/F3Q%boldF'/%+fontweightGFUF;F>F@FBFDFFFH/FKQ&0.0emF'/FNFY-I(mfen cedGF$6$-F#6)-F,6%Q\"zF'F/F2-F66-Q\",F'F9F;/F?F1F@FBFDFFFHFX/FNQ,0.333 3333emF'-F,6%Q\"xF'F/F2F]o-F,6%Q\"yF'F/F2F]o-F,6%Q&omegaF'/F0F=F9F9-F6 6-Q\"~F'F9F;F>F@FBFDFFFHFXFZ-F66-Q\";F'F9F;F`oF@FBFDFFFHFXFM-I'mspaceG F$6&/%'heightGQ&0.0exF'/%&widthGFY/%&depthGFhp/%*linebreakGQ(newlineF' F]p-F66/Q'returnF'FRFTFVF;F>F@FBFDFFFHFXFZF]p-F66-Q*&uminus0;F'F9F;F>F @FBFDFFFH/FKQ,0.2222222emF'/FNFgq-F,6%Q\"dF'F/F2-Ffn6$-F#6#FjnF9-F66-Q \"+F'F9F;F>F@FBFDFFFHFfqFhq-F,6%Q(convertF'F/F2-Ffn6$-F#6,Fcq-F,6%Q&co effF'F/F2-Ffn6$-F#6&FioF]oFiq-Ffn6$-F#6#FcoF9F9-F66-Q\"/F'F9F;F>/FAF1F BFDFFFH/FKQ,0.1666667emF'/FNFjsFjr-Ffn6$-F#6&FioF]oFiqF\\rF9F]o-F,6%Q( parfracF'F/F2F]oFcoF9-F66-Q\"*F'F9F;F>F@FBFDFFFHFisF[tFiqFasF`rFcr-Ffn 6$-F#6,FcqFjr-Ffn6$-F#6&FioF]oFiq-Ffn6$-F#6#FfoF9F9FesFjrF\\tF]oF`tF]o FfoF9FctFiqF^uF`p-F66/Q$endF'FRFTFVF;F>F@FBFDFFFHFXFZF`pFcp-Fdp6&FfpFi pF[q/F^qQ%autoF'-F,6%Q!F'F/F2" }}{PARA 11 "" 1 "" {XPPMATH 20 "f*6&I\" zG6\"I\"xGF%I\"yGF%I&omegaGF%F%F%F%O,(-I\"dGF%6#9$!\"\"*&-I(convertG%* protectedG6%,$*&-I&coeffGF36$9'-F,6#9%\"\"\"-F86$F:F+F/F/I(parfracGF%F =F>F;F>F>*&-F26%,$*&-F86$F:-F,6#9&F>F?F/F/FAFKF>FIF>F>F%F%F%" }}} {EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "tau1 := BR(z, x, s, tau1);" "- I%mrowG6#/I+modulenameG6\"I,TypesettingGI(_syslibGF'6'-I#miGF$6%Q%tau1 F'/%'italicGQ%trueF'/%,mathvariantGQ'italicF'-I#moGF$6-Q*≔F'/F 3Q'normalF'/%&fenceGQ&falseF'/%*separatorGF=/%)stretchyGF=/%*symmetric GF=/%(largeopGF=/%.movablelimitsGF=/%'accentGF=/%'lspaceGQ,0.2777778em F'/%'rspaceGFL-F,6%Q#BRF'F/F2-I(mfencedGF$6$-F#6)-F,6%Q\"zF'F/F2-F66-Q \",F'F9F;/F?F1F@FBFDFFFH/FKQ&0.0emF'/FNQ,0.3333333emF'-F,6%Q\"xF'F/F2F Z-F,6%Q\"sF'F/F2FZF+F9-F66-Q\";F'F9F;FgnF@FBFDFFFHFhnFM" }}{PARA 11 "" 1 "" {XPPMATH 20 ",(-I\"dG6\"6#I\"zGF%!\"\"*&,,*.,B*&F'\"\"#I\"sGF%\" #7!$&Q*&F'\"\"\"F/\"#5!%!G$*&F'F.F/F4!$]#*$F/\"\")!%+;*&F'F3F/F9\"&+C \"*&F'F.F/F9!&r'Q*&F'F3F/\"\"'!&!3M*&F'F.F/F@\"'3B<*&F'F3F/\"\"%!&Sy)* &F'F.F/FE!'6*&F'F3F/\"#:!%+7*&F'F3F/\"#6\"(+ 7'=*&F'F3F/\"\"*!(+G#p*&F'F3F/\"\"(!)+%o2#*&F'F.F/F^p\"$g$*&F'F.F/Fap! (S7+#*&F'F.F/Fdp\"(+A<'*&F'F.F/Fgp\")+m^=*&F'F3F/\"\"&\")+CD]*&F'F.F/F bq!)![LS&*&F'F3F/FV\")+K.P*&F'F.F/FV!(+9\"[*&F'F3F/F3!(+Wi#*&F'F.F/F3 \"'?tyFM!(;*=H*&F'F.F/\"#;\"#D*&F'F.F/F^o!%/SF6\"(??-$F-\"'#48%F=!)5cN DFG\")_/YLFB\")!=)>FFQ\"'DS;*$F/Fio!&+g**$F/Fap!'+!)G*$F/Fdp\"(+!G<*$F /Fgp\"(+S=&*$F/Fbq!(+gx(*$F/F^o\"&+W\"*$F/F4FP*$F/F0\"'+kCF8!(+_V%*$F/ FV!)+!GL#FI\")+%e*>*$F/F@!(+k;\"F3,.*&FUF3F/FEFVFjs!\"'FT!#=FY\"#?F/Fb tFU\"#FF(FfnF(,(FdpF3FYFVF/!#5F(,(FYF3F/FatFdpF3F(FZF(F/Fen#F3\"&?:\"* 0,fpF]oF_oF2F`oFaoFboF;FcoFDFdoF?FeoFKFfoFYFgoFho!'+C:F[p\"&+)>F]p\"%+ 7F`p!(+7'=Fcp\"(+G#pFfp\")+%o2#Fip!$g$F[q\"(S7+#F]q!(+A<'F_q!)+m^=Faq! )+CD]Fdq\")![LS&Ffq!)+K.PFhq\"(+9\"[Fjq\"(+Wi#F\\r!'?tyFMF^rF_rFarFbrF crF6FdrF-FerF=FfrFGFgrFBFhrFQFirFjr\"&+g*F\\s\"'+!)GF^s!(+!GFjy!&+S&F\\z!*].Z\"))Fdz!)&z\"[6F^z\"+ N+\\I7*$FUF@Fg]lF\\r!%+D*(F'F3F/FVFUFV\"(+[x\"*(F'F3F/F3FUFV!)+;8h*(F' F3F/F3FUF.\"(+?'e*(F'F3F/F3FUFE\"*!o,a@*(F'F3F/FVFUFE!)g@u;*(F'F3F/FVF UF.\"&+!=*(F'F3F/F3FUF3\"&++'*(F'F3F/F3FUFbq!*!o*G+$*(F'F3F/FVFUFbq\") gDb\\Ffy!(!oFjy\"&+S&F \\z\"*].Z\"))Fdz\")&z\"[6F^z!+N+\\I7Ff^lFgoF\\rFg^lFh^lFi^lFj^lF[_lF \\_lF]_lF^_lF__lF`_lFa_lFb_lFc_lFd_lFe_lFf_lFg_lFh_lFi_lFfy\"(!oFhy!'!))4#Fjy\"%S)**& F'F.FUFgp\"*D1:K$F\\z!*+(fHJF^z\"*(QZ.8F`z!)5k,LFbz\"(\"*fV&Fdz!'7<_Ff z\"&0]#FQ!$q(F3FcwF(FjzF(FUF(FizF(#F(\"&gH\"*,F'F3F/F3,.F`yFb^lFU\"&S' QFfy\"']PIFhy\"&]v\"Fjy!'[J?F'\"&xx%F3FgnF(FUF(#F3F\\[l*,F'F.FjclF3F/F 3FgnFhnFUF(#Fbq\"#OF3-F$6#F/F3F3" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "" "%#%?G" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 206 74 "Le ch angement de variable qui conjugue R1 \303\240 R est donn\303\251 par T RANSFORMATION" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "TRANSFORMATI ON := [x = `/`(`*`(`+`(`*`(6, `*`(`^`(s, 2), `*`(`^`(`+`(s, `-`(1)), 3 ), `*`(X)))), `-`(`*`(2, `*`(s, `*`(`^`(`+`(s, `-`(3)), 3))))))), `*`( `+`(`*`(27, `*`(`^`(`+`(s, `-`(1)), 3), `*`(`+`(`*`(`^`(s, 2)), `-`(3) ), `*`(X)))), `*`(3, `*`(s, `*`(`^`(`+`(s, `-`(3)), 3), `*`(`+`(`*`(`^ `(s, 2)), `-`(3))))))))), z = `/`(`*`(`+`(`-`(`*`(40, `*`(s, `*`(`+`(` *`(`^`(s, 7)), `*`(11, `*`(`^`(s, 6))), `-`(`*`(27, `*`(`^`(s, 5)))), \+ `*`(75, `*`(`^`(s, 4))), `*`(135, `*`(`^`(s, 3))), `*`(405, `*`(`^`(s, 2))), `*`(675, `*`(s)), 405), `*`(`+`(`*`(`^`(s, 4)), `-`(`*`(5, `*`( `^`(s, 3)))), `*`(3, `*`(X, `*`(`^`(s, 3)))), `*`(3, `*`(X, `*`(`^`(s, 2)))), `*`(3, `*`(`^`(s, 2))), `-`(`*`(15, `*`(X, `*`(s)))), `*`(9, ` *`(s)), `*`(9, `*`(X))), `*`(`+`(`*`(`^`(s, 2)), `-`(3)), `*`(`+`(`*`( `^`(s, 2)), 3), `*`(`+`(`*`(3, `*`(X, `*`(`^`(s, 4)))), `-`(`*`(`^`(s, 3))), `-`(`*`(9, `*`(X, `*`(`^`(s, 3))))), `*`(9, `*`(X, `*`(`^`(s, 2 )))), `*`(9, `*`(`^`(s, 2))), `-`(`*`(3, `*`(X, `*`(s)))), `-`(`*`(27, `*`(s))), 27), `*`(Z))))))))), `*`(40, `*`(s, `*`(`+`(`*`(`^`(s, 4)), `-`(`*`(8, `*`(`^`(s, 3)))), `-`(`*`(6, `*`(`^`(s, 2)))), `-`(`*`(24, `*`(s))), 9), `*`(`+`(`*`(X, `*`(`^`(s, 7))), `*`(5, `*`(`^`(s, 6))), `*`(33, `*`(`^`(s, 5), `*`(X))), `-`(`*`(30, `*`(`^`(s, 5)))), `*`(15 , `*`(`^`(s, 4))), `*`(140, `*`(`^`(s, 3))), `-`(`*`(125, `*`(X, `*`(` ^`(s, 3))))), `-`(`*`(45, `*`(`^`(s, 2)))), `*`(315, `*`(X, `*`(s))), \+ `-`(`*`(270, `*`(s))), `-`(135)), `*`(`+`(`*`(`^`(s, 2)), `-`(3)), `*` (`+`(`*`(`^`(s, 2)), 3), `*`(`+`(`*`(3, `*`(X, `*`(`^`(s, 4)))), `-`(` *`(`^`(s, 3))), `-`(`*`(9, `*`(X, `*`(`^`(s, 3))))), `*`(9, `*`(X, `*` (`^`(s, 2)))), `*`(9, `*`(`^`(s, 2))), `-`(`*`(3, `*`(X, `*`(s)))), `- `(`*`(27, `*`(s))), 27)))))))))), `*`(`+`(`*`(`+`(`*`(`^`(s, 7)), `*`( 11, `*`(`^`(s, 6))), `-`(`*`(27, `*`(`^`(s, 5)))), `*`(75, `*`(`^`(s, \+ 4))), `*`(135, `*`(`^`(s, 3))), `*`(405, `*`(`^`(s, 2))), `*`(675, `*` (s)), 405), `*`(`+`(`-`(`*`(45927, `*`(`^`(s, 2)))), `*`(70, `*`(`^`(s , 13))), `*`(1250, `*`(`^`(s, 11))), `*`(11292, `*`(`^`(s, 9))), `*`(9 1044, `*`(`^`(s, 7))), `-`(`*`(121986, `*`(`^`(s, 5)))), `-`(`*`(5, `* `(`^`(s, 14)))), `-`(`*`(3093, `*`(`^`(s, 10)))), `-`(`*`(400, `*`(`^` (s, 12)))), `-`(`*`(42696, `*`(`^`(s, 8)))), `*`(30618, `*`(`^`(s, 3)) ), `*`(157464, `*`(`^`(s, 4))), `-`(`*`(53055, `*`(`^`(s, 6)))), `*`(7 68, `*`(`^`(s, 12), `*`(X))), `-`(`*`(4032, `*`(`^`(s, 11), `*`(X)))), `*`(17664, `*`(`^`(s, 10), `*`(X))), `-`(`*`(138240, `*`(`^`(s, 6), ` *`(X)))), `-`(`*`(43104, `*`(X, `*`(`^`(s, 9))))), `*`(46080, `*`(X, ` *`(`^`(s, 8)))), `-`(`*`(96, `*`(`^`(s, 13), `*`(X)))), `*`(189, `*`(` ^`(s, 12), `*`(`^`(X, 2)))), `-`(`*`(378, `*`(`^`(s, 11), `*`(`^`(X, 2 ))))), `-`(`*`(5832, `*`(`^`(s, 10), `*`(`^`(X, 2))))), `*`(128088, `* `(`^`(s, 6), `*`(`^`(X, 2)))), `*`(13554, `*`(`^`(s, 9), `*`(`^`(X, 2) ))), `*`(17685, `*`(`^`(s, 8), `*`(`^`(X, 2)))), `-`(`*`(91044, `*`(`^ `(s, 7), `*`(`^`(X, 2))))), `-`(`*`(101628, `*`(`^`(s, 5), `*`(`^`(X, \+ 2))))), `*`(83511, `*`(`^`(X, 2), `*`(`^`(s, 4)))), `-`(`*`(101250, `* `(`^`(X, 2), `*`(`^`(s, 3))))), `*`(97200, `*`(`^`(X, 2), `*`(`^`(s, 2 )))), `-`(`*`(51030, `*`(`^`(X, 2), `*`(s)))), `*`(10935, `*`(`^`(X, 2 ))), `-`(`*`(476928, `*`(X, `*`(`^`(s, 4))))), `*`(387936, `*`(`^`(s, \+ 5), `*`(X))), `*`(326592, `*`(X, `*`(`^`(s, 3)))), `-`(`*`(186624, `*` (X, `*`(`^`(s, 2))))), `*`(69984, `*`(X, `*`(s)))), `*`(Z))), `*`(`+`( `*`(`^`(s, 4)), `-`(`*`(8, `*`(`^`(s, 3)))), `-`(`*`(6, `*`(`^`(s, 2)) )), `-`(`*`(24, `*`(s))), 9), `*`(`+`(`*`(164025, `*`(X)), `-`(`*`(688 905, `*`(s))), `-`(`*`(688905, `*`(`^`(s, 2)))), `-`(`*`(375, `*`(`^`( s, 15)))), `-`(`*`(6575, `*`(`^`(s, 13)))), `-`(`*`(46675, `*`(`^`(s, \+ 11)))), `-`(`*`(432795, `*`(`^`(s, 9)))), `*`(1980315, `*`(`^`(s, 7))) , `-`(`*`(3211245, `*`(`^`(s, 5)))), `*`(25, `*`(`^`(s, 16))), `*`(222 5, `*`(`^`(s, 14))), `*`(211365, `*`(`^`(s, 10))), `*`(12765, `*`(`^`( s, 12))), `-`(`*`(177525, `*`(`^`(s, 8)))), `*`(2897775, `*`(`^`(s, 3) )), `*`(2489535, `*`(`^`(s, 4))), `-`(`*`(1357965, `*`(`^`(s, 6)))), ` *`(298, `*`(`^`(s, 15), `*`(X))), `-`(`*`(1602, `*`(`^`(s, 14), `*`(X) ))), `*`(81, `*`(`^`(s, 16), `*`(`^`(X, 2)))), `-`(`*`(243, `*`(`^`(s, 15), `*`(`^`(X, 2))))), `-`(`*`(1071, `*`(`^`(s, 14), `*`(`^`(X, 2))) )), `*`(3861, `*`(`^`(s, 13), `*`(`^`(X, 2)))), `*`(5, `*`(`^`(s, 17), `*`(X))), `-`(`*`(45, `*`(`^`(s, 16), `*`(X)))), `-`(`*`(54018, `*`(` ^`(s, 12), `*`(X)))), `*`(172402, `*`(`^`(s, 11), `*`(X))), `-`(`*`(36 0810, `*`(`^`(s, 10), `*`(X)))), `*`(1046682, `*`(`^`(s, 6), `*`(X))), `*`(504516, `*`(X, `*`(`^`(s, 9)))), `*`(546372, `*`(X, `*`(`^`(s, 8) ))), `*`(9914, `*`(`^`(s, 13), `*`(X))), `*`(31725, `*`(`^`(s, 12), `* `(`^`(X, 2)))), `-`(`*`(105687, `*`(`^`(s, 11), `*`(`^`(X, 2))))), `*` (185229, `*`(`^`(s, 10), `*`(`^`(X, 2)))), `*`(242595, `*`(`^`(s, 6), \+ `*`(`^`(X, 2)))), `-`(`*`(270351, `*`(`^`(s, 9), `*`(`^`(X, 2))))), `- `(`*`(54621, `*`(`^`(s, 8), `*`(`^`(X, 2))))), `*`(789687, `*`(`^`(s, \+ 7), `*`(`^`(X, 2)))), `-`(`*`(3042225, `*`(`^`(s, 5), `*`(`^`(X, 2)))) ), `*`(2139615, `*`(`^`(X, 2), `*`(`^`(s, 4)))), `*`(2465235, `*`(`^`( X, 2), `*`(`^`(s, 3)))), `-`(`*`(3575745, `*`(`^`(X, 2), `*`(`^`(s, 2) )))), `*`(1191915, `*`(`^`(X, 2), `*`(s))), `-`(`*`(6748110, `*`(X, `* `(`^`(s, 4))))), `-`(`*`(3268962, `*`(X, `*`(`^`(s, 7))))), `*`(741663 0, `*`(`^`(s, 5), `*`(X))), `-`(`*`(2262330, `*`(X, `*`(`^`(s, 3))))), `*`(2310930, `*`(X, `*`(`^`(s, 2)))), `-`(`*`(164025, `*`(X, `*`(s))) )))))))]:" "-I%mrowG6#/I+modulenameG6\"I,TypesettingGI(_syslibGF'6&-I# miGF$6%Q/TRANSFORMATIONF'/%'italicGQ%trueF'/%,mathvariantGQ'italicF'-I #moGF$6-Q*≔F'/F3Q'normalF'/%&fenceGQ&falseF'/%*separatorGF=/%) stretchyGF=/%*symmetricGF=/%(largeopGF=/%.movablelimitsGF=/%'accentGF= /%'lspaceGQ,0.2777778emF'/%'rspaceGFL-I(mfencedGF$6&-F#6%-F#6%-F,6%Q\" xF'F/F2-F66-Q\"=F'F9F;F>F@FBFDFFFHFJFM-I&mfracGF$6(-F#6#-F#6%-F#6)-I#m nGF$6$Q\"6F'F9-F66-Q1⁢F'F9F;F>F@FBFDFFFH/FKQ&0.0emF'/FN Fgo-I%msupGF$6%-F,6%Q\"sF'F/F2-F`o6$Q\"2F'F9/%1superscriptshiftGQ\"0F' Fco-Fjo6%-FP6$-F#6%F\\p-F66-Q(−F'F9F;F>F@FBFDFFFH/FKQ,0.2222222e mF'/FNF_q-F`o6$Q\"1F'F9F9-F`o6$Q\"3F'F9FbpFco-F,6%Q\"XF'F/F2F[q-F#6'F_ pFcoF\\pFco-Fjo6%-FP6$-F#6%F\\pF[qFdqF9FdqFbp-F#6#-F#6%-F#6)-F`o6$Q#27 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270351F'F9FcoFfalFcoF_glF[q-F#6'-F`o6$Q&54621F'F9FcoFcflFcoF_glF_s-F#6 '-F`o6$Q'789687F'F9FcoFjuFcoF_glF[q-F#6'-F`o6$Q(3042225F'F9FcoFhvFcoF_ glF_s-F#6'-F`o6$Q(2139615F'F9FcoF_glFcoFbwF_s-F#6'-F`o6$Q(2465235F'F9F coF_glFcoF\\xF[q-F#6'-F`o6$Q(3575745F'F9FcoF_glFcoFioF_s-F#6'-F`o6$Q(1 191915F'F9FcoF_glFcoF\\pF_s-F#6'-F`o6$Q$298F'F9FcoF]`mFcoFgqF[q-F#6'-F `o6$Q%1602F'F9FcoFf[mFcoFgqF_s-F#6'-F`o6$Q#81F'F9FcoFd`mFcoF_glF[q-F#6 '-F`o6$Q$243F'F9FcoF]`mFcoF_glF[q-F#6'-F`o6$Q%1071F'F9FcoFf[mFcoF_glF_ s-F#6'-F`o6$Q%3861F'F9FcoFe`lFcoF_glF_s-F#6'FjvFco-Fjo6%F\\p-F`o6$Q#17 F'F9FbpFcoFgqF[q-F#6'Fi^lFcoFd`mFcoFgqF[q-F#6%-F`o6$Q(3211245F'F9FcoFh vF_s-F#6%-F`o6$Q'211365F'F9FcoF_elF_s-F#6%-F`o6$Q&12765F'F9FcoF`dlF_s- F#6%-F`o6$Q%2225F'F9FcoFf[mF[q-F#6%-F`o6$Q'177525F'F9FcoFcflF_s-F#6%-F `o6$Q(2897775F'F9FcoF\\xF_s-F#6%-F`o6$Q(2489535F'F9FcoFbwF[q-F#6%-F`o6 $Q(1357965F'F9FcoFdvF9FdsFfsFisF[tF9/%%openGQ\"[F'/%&closeGQ\"]F'-F66- Q\":F'F9F;F>F@FBFDFFFHFJFM" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "" "%#%?G" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 206 41 "Le feuilletage R1_s 0 est donn\303\251 par tau1s." }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "tau1s := wsubs(s = s0, tau1):" "-I%mrowG6#/I+modulenameG6\"I,Types ettingGI(_syslibGF'6'-I#miGF$6%Q&tau1sF'/%'italicGQ%trueF'/%,mathvaria ntGQ'italicF'-I#moGF$6-Q*≔F'/F3Q'normalF'/%&fenceGQ&falseF'/%* separatorGF=/%)stretchyGF=/%*symmetricGF=/%(largeopGF=/%.movablelimits GF=/%'accentGF=/%'lspaceGQ,0.2777778emF'/%'rspaceGFL-F,6%Q&wsubsF'F/F2 -I(mfencedGF$6$-F#6'-F,6%Q\"sF'F/F2-F66-Q\"=F'F9F;F>F@FBFDFFFHFJFM-F,6 %Q#s0F'F/F2-F66-Q\",F'F9F;/F?F1F@FBFDFFFH/FKQ&0.0emF'/FNQ,0.3333333emF '-F,6%Q%tau1F'F/F2F9-F66-Q\":F'F9F;F>F@FBFDFFFHFJFM" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "" "%#%?G" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 206 34 "Appliquons TRANSFORMATION \303\240 R1_s0:" }}}{EXCHG {PARA 0 " > " 0 "" {XPPEDIT 19 1 "tau2s := BR(Z, X, s, wsubs(subs(s = s0, TRANSF ORMATION), tau1s));" "-I%mrowG6#/I+modulenameG6\"I,TypesettingGI(_sysl ibGF'6'-I#miGF$6%Q&tau2sF'/%'italicGQ%trueF'/%,mathvariantGQ'italicF'- I#moGF$6-Q*≔F'/F3Q'normalF'/%&fenceGQ&falseF'/%*separatorGF=/% )stretchyGF=/%*symmetricGF=/%(largeopGF=/%.movablelimitsGF=/%'accentGF =/%'lspaceGQ,0.2777778emF'/%'rspaceGFL-F,6%Q#BRF'F/F2-I(mfencedGF$6$-F #6*-F,6%Q\"ZF'F/F2-F66-Q\",F'F9F;/F?F1F@FBFDFFFH/FKQ&0.0emF'/FNQ,0.333 3333emF'-F,6%Q\"XF'F/F2FZ-F,6%Q\"sF'F/F2FZ-F,6%Q&wsubsF'F/F2-FS6$-F#6& -F,6%Q%subsF'F/F2-FS6$-F#6'F_o-F66-Q\"=F'F9F;F>F@FBFDFFFHFJFM-F,6%Q#s0 F'F/F2FZ-F,6%Q/TRANSFORMATIONF'F/F2F9FZ-F,6%Q&tau1sF'F/F2F9F9-F66-Q\"; F'F9F;FgnF@FBFDFFFHFhnFM" }}{PARA 11 "" 1 "" {XPPMATH 20 ",&-I\"dG6\"6 #I\"ZGF%!\"\"*&,(**,hn\"$0%\"\"\"F'\"$5)*&F'\"\"#I#s0GF%F1!$q#*&F'F1F2 F.!%:7*$F2\"\")\"\"$*$F2\"\"%\"$?\"*$F2F1\"#!**$F2\"\"*F(*$F2\"\"(\"#Y *$F2\"\"&\"#'**$F2F8F3*$F2\"\"'\"#aF2F5*&F'F1F2F?F(*&F'F1F2F7!\"**&F'F 1F2FAFB*&F'F1F2FH!$i\"*&F'F1F2FDFE*&F'F.F2F7FH*&F'F.F2F:\"$S#*&F'F.F2F 1\"$!=*&F'F.F2F?F1*&F'F.F2FA!##**&F'F.F2FD!$#>*&F'F.F2F8\"$S&*&F'F.F2F H\"$3\"*&F'F.F2F.\"%IC*&F'F1F2F8F3*$F'F1F5*&F'F1F2F:!$g$F.,&F(F.I\"XGF %F.F(,*FGF.F9\"#:FF4!)v@+$**$F2\"#<\"'fn()*$F 2Fbo\"(_#=d*$F2\"#;\"($eoRF6\"*v&4'R\"F9\")]m*H)F\"*NH`E\"F@\")qhAjFC!*q+9.$*$F2\"#9\"(/)**y*$F2\"#5!)( Rw#H*$F2Fgo!)W%*pXFF\"*D'=MDFG!*!RZN9F2!)vFdd*$F2\"#FF.*$F2\"#E!#N*$F2 \"#D\"$D%*$F2\"#C!%V>*$F2\"#B\"%m9*$F2\"#A!%mB*$F2\"#@\"&=m)*$F2\"#>!& H<$*$F2\"#?!'')G<*$F2\"#=!(,>,\"*&F'F1F2FasF.*&F'F1F2Fcs\"#L*&F'F.F2Fa sF1*&F'F1F2Ffs\"$@$*&F'F.F2FcsFjp*&F'F1F2Fis\"$,&*&F'F.F2Ffs!$u$*&F'F1 F2F\\t!%YE*&F'F.F2Fis\"%=6*&F'F.F2F\\t\"&g9\"*&F'F.F2F_t!&OS#*&F'F1F2F _t\"&]-#*&F'F1F2Fbt\"l*&F'F1F2Fht!&%4]*&F'F1F2Fet\"'BaJ*&F'F1F2F[u \"'r%z(*&F'F1F2Fcq\"(*fr<*&F'F1F2Fhq\"(rP(f*&F'F1F2Fbo\"'?IS*&F'F1F2Ff r\"(c&3m*&F'F1F2F^r!)?w\"=#*&F'F1F2Fgo!)?kn6*&F'F1F2Fjo!)Ty:b*&F'F1F2F ir!)(*G/LFJ\")N>KnFK\"*:(e*4\"FM\"*qp2p\"FN\")57=TFP!*!ziCU*&F'F.F2F^r \")/x?V*&F'F.F2Ffr!)W>u;*&F'F.F2Fgo\")S;ah*&F'F.F2Fbt!&'*>%*&F'F.F2Fet \"&y[)*&F'F.F2Fht\"'[v?*&F'F.F2F[u\"')p.&*&F'F.F2Fcq!(a41$*&F'F.F2Fbo! (OLk)*&F'F.F2Fhq!(m&z**FQ!*5t`g#FR\")+23dFTF_q*&F'F.F2Fjo\"*m&*y.\"FV! *]]t9#FW!*gK%3AFY\"*g-Vg'*&F'F.F2Fir\")MGNcFen!*]\"fI\\Fgn\"*?%RZ;Fin \"*]-'G8F[o\"*D5`3$F\\o!)v!e)RF]o!*].PD#F.,(F*&F2FHF`oF .F.FGF.*&F2FDF`oF.FHFCFep*&F`oF.F2F:F8F9F8*&F`oF.F2F8!#GFF\"#G*&F`oF.F 2F1FLF " 0 "" {XPPEDIT 19 1 "" "%#%?G" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 206 299 "On peut v\303\251rifier que tau2s donne un feuill etage de Riccati normalis\303\251 comme indiqu\303\251 dans la partie \+ \"Equation de PVI et isomonodromie\" (en utilisant les lettres (Z,X) a u lieu de (z,x)). Reste \303\240 voir si q(s) est le point de tangence entre Z=infini et le feuilletage qui n'est pas (X,Z)=(infini,infini). " }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "" "%#%?G" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "factor(solve(coeff(coeff(tau2s, d(X)) , Z, 2), X));" "-I%mrowG6#/I+modulenameG6\"I,TypesettingGI(_syslibGF'6 %-I#miGF$6%Q'factorF'/%'italicGQ%trueF'/%,mathvariantGQ'italicF'-I(mfe ncedGF$6$-F#6$-F,6%Q&solveF'F/F2-F66$-F#6&-F,6%Q&coeffF'F/F2-F66$-F#6( FA-F66$-F#6&-F,6%Q&tau2sF'F/F2-I#moGF$6-Q\",F'/F3Q'normalF'/%&fenceGQ& falseF'/%*separatorGF1/%)stretchyGFW/%*symmetricGFW/%(largeopGFW/%.mov ablelimitsGFW/%'accentGFW/%'lspaceGQ&0.0emF'/%'rspaceGQ,0.3333333emF'- F,6%Q\"dF'F/F2-F66$-F#6#-F,6%Q\"XF'F/F2FSFSFO-F,6%Q\"ZF'F/F2FO-I#mnGF$ 6$Q\"2F'FSFSFOF[pFSFS-FP6-Q\";F'FSFUFXFZFfnFhnFjnF\\oF^o/FboQ,0.277777 8emF'" }}{PARA 11 "" 1 "" {XPPMATH 20 "*0,&I#s0G6\"\"\"\"F&F&F&,**$F$ \"\"'F&*$F$\"\"%\"#:*$F$\"\"#!\"&\"#XF&F&,&F$F&!\"$F&F.F$F&,&F$F&\"\"$ F&!\"\",*F(\"\"&F*F/F-\"$N\"\"#\")F&F5,&F$F&F5F&!\"#" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "" "%#%?G" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "" "%#%?G" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "" "%#%?G" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "" "%#%?G" }}} {EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "" "%#%?G" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 206 67 "On voit que la fraction ci-dessus donne bien l'exp ression de q(s0)." }}}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" } }}{EXCHG {PARA 0 "" 0 "" {TEXT 206 1 " " }}}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#% ?G" }}}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}} {MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }