{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" 0 21 "" 0 1 0 0 0 1 0 0 0 0 2 0 0 0 0 1 }{CSTYLE "" -1 256 "" 1 14 25 1 1 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 257 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 258 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 259 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 260 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 261 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 262 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "T imes" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 } {PSTYLE "Heading 2" -1 4 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 2 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 12 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 3 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 33 "# Ejecutar previament e Rkut44.mws" }}}{EXCHG {PARA 4 "" 0 "" {TEXT -1 42 "Probaremos que un m\351todo que es de orden 4" }}{PARA 4 "" 0 "" {TEXT -1 46 "para ecac iones escalares aut\363nomas (EA), puede" }}{PARA 4 "" 0 "" {TEXT -1 38 "no serlo para sistemas aut\363nomos (SA)." }}{PARA 4 "" 0 "" {TEXT -1 41 "El m\351todo que nos sirve de ejemplo es el " }}{PARA 4 " " 0 "" {TEXT -1 23 "RUNGE-KUTTA del tablero" }}{PARA 4 "" 0 "" {TEXT 257 12 " 0 | " }}{PARA 4 "" 0 "" {TEXT 258 15 " 1/2 | 1/2 " }}{PARA 4 "" 0 "" {TEXT 261 26 " - 1 | 1/2 - 3/2" }}{PARA 4 "" 0 "" {TEXT 262 37 " 1 | 0 4/3 -1/3" }} {PARA 4 "" 0 "" {TEXT -1 12 " ---------" }{TEXT 259 32 "------------ --------------------" }}{PARA 4 "" 0 "" {TEXT 260 49 " | 1 /6 2/3 0 1/6" }}{PARA 0 "" 0 "" {TEXT 256 0 "" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 118 "metodo_4etapas:=\{a[2,1]=1 /2,a[3,1]=1/2,a[3,2]=-3/2,a[4,1]=0,a[4,2]=4/3,a[4,3]=-1/3,b[1]=1/6,b[2 ]=2/3,b[3]=0,b[4]=1/6\};" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%/metodo_ 4etapasG<,/&%\"bG6#\"\"\"#F*\"\"'/&F(6#\"\"##F0\"\"$/&F(6#F2\"\"!/&F(6 #\"\"%F+/&%\"aG6$F0F*#F*F0/&F=6$F2F*F?/&F=6$F2F0#!\"$F0/&F=6$F:F*F6/&F =6$F:F0#F:F2/&F=6$F:F2#!\"\"F2" }}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 32 "# PARA ECUACIONES AUTONOMAS (EA)" }}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 24 "# consistencia y orden 1" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 49 "EAcond1a;simplify(subs(metodo_4etapas,EAcond1a));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,*&%\"bG6#\"\"\"F(&F&6#\"\"#F(&F&6# \"\"$F(&F&6#\"\"%F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/\"\"\"F$" }} }{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 29 "# condiciones para el orden \+ 2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "#EAcond2a" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "EAcond2b;simplify(subs(metodo_4etap as,EAcond2b));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,.*&&%\"bG6#\"\"#\" \"\"&%\"aG6$F)F*F*F**&&F'6#\"\"$F*&F,6$F1F*F*F**&F/F*&F,6$F1F)F*F**&&F '6#\"\"%F*&F,6$F:F*F*F**&F8F*&F,6$F:F)F*F**&F8F*&F,6$F:F1F*F*#F*F)" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"\"\"\"#F$" }}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 29 "# condiciones para el orden 3" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "#EAcond3a" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "#EAcond3b" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "EAcond3c;simplify(subs(metodo_4etapas,EAcond3c));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,6*&&%\"bG6#\"\"%\"\"\")&%\"aG6$F)F*\"\"#F*F**&&F '6#\"\"$F*)&F-6$F3F*F/F*F**&F&F*)&F-6$F)F3F/F*F**&F&F*)&F-6$F)F/F/F*F* *&F1F*)&F-6$F3F/F/F*F***F/F*F&F*F,F*F9F*F***F/F*F&F*F,F*F=F*F***F/F*F1 F*F5F*FAF*F**&&F'6#F/F*)&F-6$F/F*F/F*F***F/F*F&F*F=F*F9F*F*#F*F3" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"\"\"\"$F$" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 9 "#EAcond3d" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "EAcond3e;simplify(subs(metodo_4etapas,EAcond3e));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#/,**(&%\"bG6#\"\"$\"\"\"&%\"aG6$F)\"\" #F*&F,6$F.F*F*F.**F.F*&F'6#\"\"%F*&F,6$F4F.F*F/F*F***F.F*F2F*&F,6$F4F) F*&F,6$F)F*F*F***F.F*F2F*F8F*F+F*F*#F*F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"\"\"\"$F$" }}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 29 "# c ondiciones para el orden 4" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "#EAcond4a" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "#EAcond4b" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "#EAcond4c" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "#EAcond4d" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "#EAcond4e" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "EAcond4f;simplify(subs(metodo_4etapas,EAcond4f));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#/,@*&&%\"bG6#\"\"%\"\"\")&%\"aG6$F)\"\"#\"\"$F*F** &F&F*)&F-6$F)F*F0F*F**&&F'6#F0F*)&F-6$F0F/F0F*F**&F6F*)&F-6$F0F*F0F*F* **F0F*F6F*)F=F/F*F9F*F***F0F*F6F*F=F*)F9F/F*F***F0F*F&F*)F3F/F*F,F*F** *F0F*F&F*FDF*&F-6$F)F0F*F***F0F*F&F*F3F*)F,F/F*F***F0F*F&F*F3F*)FFF/F* F***F0F*F&F*FIF*FFF*F***F0F*F&F*F,F*FKF*F**,\"\"'F*F&F*F3F*F,F*FFF*F** &F&F*)FFF0F*F**&&F'6#F/F*)&F-6$F/F*F0F*F*#F*F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"\"\"\"%F$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "#EAcond4g" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "EAcond4 h;simplify(subs(metodo_4etapas,EAcond4h));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#/,B**&%\"bG6#\"\"%\"\"\"&%\"aG6$F)\"\"$F*&F,6$F.\"\"#F* &F,6$F)F*F*\"\"'*,F4F*F&F*F+F*F/F*&F,6$F)F1F*F***F4F*F&F*)F+F1F*F/F*F* *,F4F*F&F*F6F*&F,6$F1F*F*F2F*F***F.F*F&F*F6F*)F;F1F*F***F.F*F&F*F+F*)& F,6$F.F*F1F*F**,F4F*F&F*F+F*FAF*F/F*F***F.F*F&F*F+F*)F/F1F*F**,F4F*F&F *F+F*FAF*F6F*F***F4F*&F'6#F.F*FEF*F;F*F***F.F*FHF*F/F*F>F*F**,F4F*FHF* F/F*F;F*FAF*F***F4F*F&F*)F6F1F*F;F*F**,F4F*F&F*F6F*F;F*F+F*F**,F4F*F&F *F+F*FAF*F2F*F***F4F*F&F*F9F*FAF*F*F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/\"\"\"F$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "#EAcond4i" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "#EAcond4j" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "EAcond4k;simplify(subs(metodo_4etapas,EAc ond4k));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,$**&%\"bG6#\"\"%\"\"\"&% \"aG6$F)\"\"$F*&F,6$F.\"\"#F*&F,6$F1F*F*\"\"'#F*F)" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#/#\"\"\"\"\"%F$" }}}{EXCHG {PAGEBK }{PARA 0 "" 0 "" {TEXT -1 0 "" }{MPLTEXT 0 21 30 "# PARA SISTEMAS AUTONOMOS (SA)" }}} {EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 121 "# consistencia y orden 1 La condici\363n EAcond1a que es b[1]+b[2]+b[3]+b[4] = 1 se transfor ma en " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "SAcond1a;simplify(subs(metodo_4etapas,SAcond1a));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,*&%\"bG6#\"\"\"F(&F&6#\"\"#F(&F&6#\"\"$F(&F&6#\" \"%F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/\"\"\"F$" }}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 29 "# condiciones para el orden 2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "#SAcond2a" }}}{EXCHG {PARA 0 "" 0 " " {MPLTEXT 0 21 156 " La condici\363n EAcond2b que es b[2]*a[2,1]+ b[3]*a[3,1]+b[3]*a[3,2]+b[4]*a[4,1]+b[4]*a[4,2]+b[4]*a[4,3] = 1/2 se transforma en las 2 " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 102 "SAcond2b1;simplify(subs(metodo_4etapas,SAcond2b1));S Acond2b2;simplify(subs(metodo_4etapas,SAcond2b2));" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#/,.*&&%\"bG6#\"\"#\"\"\"&%\"aG6$F)F*F*F**&&F'6#\"\"$F *&F,6$F1F*F*F**&F/F*&F,6$F1F)F*F**&&F'6#\"\"%F*&F,6$F:F*F*F**&F8F*&F,6 $F:F)F*F**&F8F*&F,6$F:F1F*F*#F*F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/ #\"\"\"\"\"#F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,.*&&%\"bG6#\"\"#\" \"\"&%\"aG6$F)F*F*F**&&F'6#\"\"$F*&F,6$F1F*F*F**&F/F*&F,6$F1F)F*F**&&F '6#\"\"%F*&F,6$F:F*F*F**&F8F*&F,6$F:F)F*F**&F8F*&F,6$F:F1F*F*#F*F)" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"\"\"\"#F$" }}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 29 "# condiciones para el orden 3" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "#SAcond3a" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond3b1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond3b2" }}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 206 " La condi ci\363n EAcond3c que es b[4]*a[4,2]^2+b[4]*a[4,3]^2+2*b[3]*a[3,1]*a [3,2]+2*b[4]*a[4,1]*a[4,3]+2*b[4]*a[4,1]*a[4,2]+2*b[4]*a[4,2]*a[4,3]+b [2]*a[2,1]^2+b[4]*a[4,1]^2+b[3]*a[3,1]^2+b[3]*a[3,2]^2 = 1/3" }}{PARA 0 "" 0 "" {MPLTEXT 0 21 24 " se transforma en las 3 " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 153 "SAcond3c1;simplify(subs(metodo_4etapas,S Acond3c1));SAcond3c2;simplify(subs(metodo_4etapas,SAcond3c2));SAcond3c 3;simplify(subs(metodo_4etapas,SAcond3c3));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,6*&&%\"bG6#\"\"%\"\"\")&%\"aG6$F)F*\"\"#F*F**&&F'6#\" \"$F*)&F-6$F3F*F/F*F**&F&F*)&F-6$F)F3F/F*F**&F&F*)&F-6$F)F/F/F*F**&F1F *)&F-6$F3F/F/F*F***F/F*F&F*F,F*F9F*F***F/F*F&F*F,F*F=F*F***F/F*F1F*F5F *FAF*F**&&F'6#F/F*)&F-6$F/F*F/F*F***F/F*F&F*F=F*F9F*F*#F*F3" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"\"\"\"$F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,6*&&%\"bG6#\"\"%\"\"\")&%\"aG6$F)F*\"\"#F*F**&&F'6#\" \"$F*)&F-6$F3F*F/F*F**&F&F*)&F-6$F)F3F/F*F**&F&F*)&F-6$F)F/F/F*F**&F1F *)&F-6$F3F/F/F*F***F/F*F&F*F,F*F9F*F***F/F*F&F*F,F*F=F*F***F/F*F1F*F5F *FAF*F**&&F'6#F/F*)&F-6$F/F*F/F*F***F/F*F&F*F=F*F9F*F*#F*F3" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"\"\"\"$F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,6*&&%\"bG6#\"\"%\"\"\")&%\"aG6$F)F*\"\"#F*F/*(F/F*F&F *)&F-6$F)F/F/F*F**(F/F*F&F*)&F-6$F)\"\"$F/F*F***F)F*F&F*F,F*F2F*F***F) F*F&F*F,F*F6F*F***F)F*F&F*F2F*F6F*F**(F/F*&F'6#F/F*)&F-6$F/F*F/F*F**(F /F*&F'6#F8F*)&F-6$F8F*F/F*F***F)F*FCF*FFF*&F-6$F8F/F*F**(F/F*FCF*)FIF/ F*F*#F/F8" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"#\"\"$F$" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond3d1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond3d2" }}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 165 " La condici\363n EAcond3e que es 2*b[4]*a[4,3]* a[3,1]+2*b[4]*a[4,3]*a[3,2]+2*b[4]*a[4,2]*a[2,1]+2*b[3]*a[3,2]*a[2,1] \+ = 1/3 se transforma en las 4 " }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 204 "SAcond3e1;simplify(subs(metodo_4etapas,SAcond 3e1));SAcond3e2;simplify(subs(metodo_4etapas,SAcond3e2));SAcond3e3;sim plify(subs(metodo_4etapas,SAcond3e3));SAcond3e4;simplify(subs(metodo_4 etapas,SAcond3e4));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,**(&%\"bG6#\" \"$\"\"\"&%\"aG6$F)\"\"#F*&F,6$F.F*F*F.**F.F*&F'6#\"\"%F*&F,6$F4F.F*F/ F*F***F.F*F2F*&F,6$F4F)F*&F,6$F)F*F*F***F.F*F2F*F8F*F+F*F*#F*F)" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"\"\"\"$F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,**(&%\"bG6#\"\"$\"\"\"&%\"aG6$F)\"\"#F*&F,6$F.F*F*F.* *F.F*&F'6#\"\"%F*&F,6$F4F.F*F/F*F***F.F*F2F*&F,6$F4F)F*&F,6$F)F*F*F*** F.F*F2F*F8F*F+F*F*#F*F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"\"\" \"$F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,**(&%\"bG6#\"\"$\"\"\"&%\"a G6$F)\"\"#F*&F,6$F.F*F*F.**F.F*&F'6#\"\"%F*&F,6$F4F.F*F/F*F***F.F*F2F* &F,6$F4F)F*&F,6$F)F*F*F***F.F*F2F*F8F*F+F*F*#F*F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"\"\"\"$F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,** (&%\"bG6#\"\"$\"\"\"&%\"aG6$F)\"\"#F*&F,6$F.F*F*F.**F.F*&F'6#\"\"%F*&F ,6$F4F.F*F/F*F***F.F*F2F*&F,6$F4F)F*&F,6$F)F*F*F***F.F*F2F*F8F*F+F*F*# F*F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"\"\"\"$F$" }}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 29 "# condiciones para el orden 4" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "#SAcond4a" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4b1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4b2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4c1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4c 2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4c3" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4d1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4d2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4e1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4e2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4e 3" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4e4" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4e5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4e6" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4e7" }}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 340 " La condici\363n EAcond4f que es b[4]*a[4,3]^3+b[4]*a[4,2]^ 3+b[4]*a[4,1]^3+3*b[4]*a[4,1]^2*a[4,2]+3*b[4]*a[4,2]*a[4,3]^2+3*b[4]*a [4,2]^2*a[4,3]+3*b[4]*a[4,1]*a[4,3]^2+3*b[4]*a[4,1]*a[4,2]^2+3*b[4]*a[ 4,1]^2*a[4,3]+b[2]*a[2,1]^3+3*b[3]*a[3,1]*a[3,2]^2+b[3]*a[3,2]^3+b[3]* a[3,1]^3+3*b[3]*a[3,1]^2*a[3,2]+6*b[4]*a[4,1]*a[4,2]*a[4,3] = 1/4 " }}{PARA 0 "" 0 "" {MPLTEXT 0 21 31 "se transforma en las 4 " } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 204 "SAcond4f1;simplify(subs(m etodo_4etapas,SAcond4f1));SAcond4f2;simplify(subs(metodo_4etapas,SAcon d4f2));SAcond4f3;simplify(subs(metodo_4etapas,SAcond4f3));SAcond4f4;si mplify(subs(metodo_4etapas,SAcond4f4));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#/,@*&&%\"bG6#\"\"%\"\"\")&%\"aG6$F)\"\"#\"\"$F*F**&F&F*)&F-6$F)F *F0F*F**&&F'6#F0F*)&F-6$F0F/F0F*F**&F6F*)&F-6$F0F*F0F*F***F0F*F6F*)F=F /F*F9F*F***F0F*F6F*F=F*)F9F/F*F***F0F*F&F*)F3F/F*F,F*F***F0F*F&F*FDF*& F-6$F)F0F*F***F0F*F&F*F3F*)F,F/F*F***F0F*F&F*F3F*)FFF/F*F***F0F*F&F*FI F*FFF*F***F0F*F&F*F,F*FKF*F**,\"\"'F*F&F*F3F*F,F*FFF*F**&F&F*)FFF0F*F* *&&F'6#F/F*)&F-6$F/F*F0F*F*#F*F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/# \"\"\"\"\"%F$" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#/,@*&&%\"bG6#\"\"$\" \"\")&%\"aG6$F)\"\"#F)F*F)*(F)F*F&F*)&F-6$F)F*F)F*F**(F)F*&F'6#F/F*)&F -6$F/F*F)F*F***\"\"*F*F&F*F2F*)F,F/F*F***F;F*F&F*)F2F/F*F,F*F***F;F*&F '6#\"\"%F*)&F-6$FBF/F/F*&F-6$FBF)F*F***F;F*F@F*FDF*)FFF/F*F**(F)F*F@F* )&F-6$FBF*F)F*F***F;F*F@F*FLF*FCF*F**,\"#=F*F@F*FLF*FDF*FFF*F**(F)F*F@ F*)FDF)F*F**(F)F*F@F*)FFF)F*F***F;F*F@F*)FLF/F*FDF*F***F;F*F@F*FVF*FFF *F***F;F*F@F*FLF*FIF*F*#F)FB" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\" $\"\"%F$" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#/,@*&&%\"bG6#\"\"$\"\"\")& %\"aG6$F)\"\"#F)F*F)*(F)F*F&F*)&F-6$F)F*F)F*F**(F)F*&F'6#F/F*)&F-6$F/F *F)F*F***\"\"*F*F&F*F2F*)F,F/F*F***F;F*F&F*)F2F/F*F,F*F***F;F*&F'6#\" \"%F*)&F-6$FBF/F/F*&F-6$FBF)F*F***F;F*F@F*FDF*)FFF/F*F**(F)F*F@F*)&F-6 $FBF*F)F*F***F;F*F@F*FLF*FCF*F**,\"#=F*F@F*FLF*FDF*FFF*F**(F)F*F@F*)FD F)F*F**(F)F*F@F*)FFF)F*F***F;F*F@F*)FLF/F*FDF*F***F;F*F@F*FVF*FFF*F*** F;F*F@F*FLF*FIF*F*#F)FB" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"$\"\" %F$" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#/,@*&&%\"bG6#\"\"%\"\"\")&%\"aG 6$F)\"\"#\"\"$F*F**&F&F*)&F-6$F)F*F0F*F**&&F'6#F0F*)&F-6$F0F/F0F*F**&F 6F*)&F-6$F0F*F0F*F***F0F*F6F*)F=F/F*F9F*F***F0F*F6F*F=F*)F9F/F*F***F0F *F&F*)F3F/F*F,F*F***F0F*F&F*FDF*&F-6$F)F0F*F***F0F*F&F*F3F*)F,F/F*F*** F0F*F&F*F3F*)FFF/F*F***F0F*F&F*FIF*FFF*F***F0F*F&F*F,F*FKF*F**,\"\"'F* F&F*F3F*F,F*FFF*F**&F&F*)FFF0F*F**&&F'6#F/F*)&F-6$F/F*F0F*F*#F*F)" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"\"\"\"%F$" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 10 "#SAcond4g1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4g2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4g3" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4g 4" }}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 34 "La condici\363n EAcond 4h que es " }}{PARA 0 "" 0 "" {MPLTEXT 0 21 411 "6*b[4]*a[4,2]^2*a [2,1]+6*b[4]*a[4,2]*a[2,1]*a[4,3]+6*b[4]*a[4,3]*a[3,1]*a[4,1]+6*b[4]*a [4,3]*a[3,1]*a[4,2]+6*b[4]*a[4,3]^2*a[3,1]+6*b[4]*a[4,3]*a[3,2]*a[4,1] +6*b[4]*a[4,3]*a[3,2]*a[4,2]+6*b[4]*a[4,2]*a[2,1]*a[4,1]+3*b[4]*a[4,3] *a[3,1]^2+6*b[4]*a[4,3]*a[3,1]*a[3,2]+3*b[4]*a[4,3]*a[3,2]^2+3*b[4]*a[ 4,2]*a[2,1]^2+6*b[4]*a[4,3]^2*a[3,2]+6*b[3]*a[3,2]*a[2,1]*a[3,1]+6*b[3 ]*a[3,2]^2*a[2,1]+3*b[3]*a[3,2]*a[2,1]^2 = 1" }}{PARA 0 "" 0 "" {MPLTEXT 0 21 23 "se transforma en las 12" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 618 "SAcond4h1;simplify(subs(metodo_4etapas,SAcond4h1)) ;SAcond4h2;simplify(subs(metodo_4etapas,SAcond4h2));SAcond4h3;simplify (subs(metodo_4etapas,SAcond4h3));SAcond4h4;simplify(subs(metodo_4etapa s,SAcond4h4));SAcond4h5;simplify(subs(metodo_4etapas,SAcond4h5));SAcon d4h6;simplify(subs(metodo_4etapas,SAcond4h6));SAcond4h7;simplify(subs( metodo_4etapas,SAcond4h7));SAcond4h8;simplify(subs(metodo_4etapas,SAco nd4h8));SAcond4h9;simplify(subs(metodo_4etapas,SAcond4h9));SAcond4h10; simplify(subs(metodo_4etapas,SAcond4h10));SAcond4h11;simplify(subs(met odo_4etapas,SAcond4h11));SAcond4h12;simplify(subs(metodo_4etapas,SAcon d4h12));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#/,B**&%\"bG6#\"\"%\"\"\"&% \"aG6$F)\"\"$F*&F,6$F.\"\"#F*&F,6$F)F*F*\"\"'*,F4F*F&F*F+F*F/F*&F,6$F) F1F*F***F4F*F&F*)F+F1F*F/F*F**,F4F*F&F*F6F*&F,6$F1F*F*F2F*F***F.F*F&F* F6F*)F;F1F*F***F.F*F&F*F+F*)&F,6$F.F*F1F*F**,F4F*F&F*F+F*FAF*F/F*F***F .F*F&F*F+F*)F/F1F*F**,F4F*F&F*F+F*FAF*F6F*F***F4F*&F'6#F.F*FEF*F;F*F** *F.F*FHF*F/F*F>F*F**,F4F*FHF*F/F*F;F*FAF*F***F4F*F&F*)F6F1F*F;F*F**,F4 F*F&F*F6F*F;F*F+F*F**,F4F*F&F*F+F*FAF*F2F*F***F4F*F&F*F9F*FAF*F*F*" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#/\"\"\"F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,8**&%\"bG6#\"\"%\"\"\"&%\"aG6$F)\"\"$F*&F,6$F.\"\"#F* &F,6$F)F*F*\"\"'*,F4F*F&F*F+F*F/F*&F,6$F)F1F*F***F4F*F&F*)F+F1F*&F,6$F .F*F*F***F4F*&F'6#F.F*)F/F1F*&F,6$F1F*F*F**,F4F*F=F*F/F*F@F*F:F*F**,F4 F*F&F*F6F*F@F*F2F*F***F4F*F&F*)F6F1F*F@F*F**,F4F*F&F*F6F*F@F*F+F*F**,F 4F*F&F*F+F*F:F*F2F*F**,F4F*F&F*F+F*F:F*F6F*F***F4F*F&F*F9F*F/F*F*#F.F) " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/\"\"\"#\"\"$\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,,*(&%\"bG6#\"\"$\"\"\"&%\"aG6$F)\"\"#F*)&F,6$F.F *F.F*F)*,\"\"'F*&F'6#\"\"%F*&F,6$F6F)F*&F,6$F)F*F*F+F*F***F)F*F4F*&F,6 $F6F.F*F/F*F***F)F*F4F*F7F*)F9F.F*F***F)F*F4F*F7F*)F+F.F*F*#F*F6" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#/\"\"!#\"\"\"\"\"%" }}{PARA 12 "" 1 " " {XPPMATH 20 "6#/,B**&%\"bG6#\"\"%\"\"\"&%\"aG6$F)\"\"$F*&F,6$F.\"\"# F*&F,6$F)F*F*\"\"'**F4F*&F'6#F.F*F/F*)&F,6$F1F*F1F*F***F4F*F6F*)F/F1F* F9F*F**,F4F*F6F*F/F*F9F*&F,6$F.F*F*F***F4F*F&F*)F+F1F*F>F*F**,F4F*F&F* &F,6$F)F1F*F9F*F2F*F**,F4F*F&F*F+F*F>F*F2F*F***F4F*F&F*FAF*F/F*F**,F4F *F&F*FCF*F9F*F+F*F***F4F*F&F*FCF*F8F*F**,F4F*F&F*F+F*F/F*FCF*F**,F4F*F &F*F+F*F>F*FCF*F**,\"#7F*F&F*F+F*F>F*F/F*F***F4F*F&F*F+F*)F>F1F*F***F4 F*F&F*)FCF1F*F9F*F***F4F*F&F*F+F*F " 0 "" {MPLTEXT 1 0 10 "#SAcond4i1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4i2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4j1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4j2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4j 3" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "#SAcond4j4" }}}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 96 " La condici\363n EAcond4k que es \+ 6*b[4]*a[4,3]*a[3,2]*a[2,1] = 1/4 se transforma en las 7 " }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 357 "SAcond4k1;simplify(subs(met odo_4etapas,SAcond4k1));SAcond4k2;simplify(subs(metodo_4etapas,SAcond4 k2));SAcond4k3;simplify(subs(metodo_4etapas,SAcond4k3));SAcond4k4;simp lify(subs(metodo_4etapas,SAcond4k4));SAcond4k5;simplify(subs(metodo_4e tapas,SAcond4k5));SAcond4k6;simplify(subs(metodo_4etapas,SAcond4k6));S Acond4k7;simplify(subs(metodo_4etapas,SAcond4k7));" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#/,$**&%\"bG6#\"\"%\"\"\"&%\"aG6$F)\"\"$F*&F,6$F.\"\"# F*&F,6$F1F*F*\"\"'#F*F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"\"\" \"%F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,$**&%\"bG6#\"\"%\"\"\"&%\"a G6$F)\"\"$F*&F,6$F.\"\"#F*&F,6$F1F*F*\"\"'#F*F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"\"\"\"%F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,$* *&%\"bG6#\"\"%\"\"\"&%\"aG6$F)\"\"$F*&F,6$F.\"\"#F*&F,6$F1F*F*\"#7#F*F 1" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"\"\"\"#F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,$**&%\"bG6#\"\"%\"\"\"&%\"aG6$F)\"\"$F*&F,6$F.\"\" #F*&F,6$F1F*F*\"\"'#F*F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"\"\" \"%F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,$**&%\"bG6#\"\"%\"\"\"&%\"a G6$F)\"\"$F*&F,6$F.\"\"#F*&F,6$F1F*F*\"\"'#F*F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"\"\"\"%F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,$* *&%\"bG6#\"\"%\"\"\"&%\"aG6$F)\"\"$F*&F,6$F.\"\"#F*&F,6$F1F*F*\"\"'#F* F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"\"\"\"%F$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/,$**&%\"bG6#\"\"%\"\"\"&%\"aG6$F)\"\"$F*&F,6$F.\" \"#F*&F,6$F1F*F*\"\"'#F*F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/#\"\"\" \"\"%F$" }}}}{MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 3 4 1802 1 1 1 1 } {PAGENUMBERS 0 1 2 33 1 1 }