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January 5, 2024 15:20
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| /* [wxMaxima batch file version 1] [ DO NOT EDIT BY HAND! ]*/ | |
| /* [ Created with wxMaxima version 0.8.6 ] */ | |
| /* [wxMaxima: input start ] */ | |
| load(grobner); | |
| /* [wxMaxima: input end ] */ | |
| /* [wxMaxima: comment start ] | |
| El orden de las indeterminadas influye a la hora de calcular la base de Groebner | |
| [wxMaxima: comment end ] */ | |
| /* [wxMaxima: input start ] */ | |
| poly_reduced_grobner([X^2-Y*Z-3,Y^2-X*Z-4,Z^2-X*Y-5],[X,Y,Z]); | |
| /* [wxMaxima: input end ] */ | |
| /* [wxMaxima: input start ] */ | |
| poly_reduced_grobner([X^2-Y*Z-3,Y^2-X*Z-4,Z^2-X*Y-5],[Z,X,Y]); | |
| /* [wxMaxima: input end ] */ | |
| /* [wxMaxima: comment start ] | |
| Comporbamos el orden que estamos usando. | |
| [wxMaxima: comment end ] */ | |
| /* [wxMaxima: input start ] */ | |
| poly_monomial_order; | |
| /* [wxMaxima: input end ] */ | |
| /* [wxMaxima: comment start ] | |
| Cambiamos al orden graduado lexicográfico inverso. | |
| [wxMaxima: comment end ] */ | |
| /* [wxMaxima: input start ] */ | |
| poly_monomial_order:grevlex; | |
| /* [wxMaxima: input end ] */ | |
| /* [wxMaxima: input start ] */ | |
| poly_reduced_grobner([X^2-Y*Z-3,Y^2-X*Z-4,Z^2-X*Y-5],[X,Y,Z]); | |
| /* [wxMaxima: input end ] */ | |
| /* [wxMaxima: input start ] */ | |
| poly_reduced_grobner([X^2-Y*Z-3,Y^2-X*Z-4,Z^2-X*Y-5],[Z,X,Y]); | |
| /* [wxMaxima: input end ] */ | |
| /* [wxMaxima: comment start ] | |
| No parece que haya afectado al cálculo de las bases de Groebner. | |
| [wxMaxima: comment end ] */ | |
| /* [wxMaxima: comment start ] | |
| Cambiamos al orden lexicográfico graduado. | |
| [wxMaxima: comment end ] */ | |
| /* [wxMaxima: input start ] */ | |
| poly_monomial_order:grlex; | |
| /* [wxMaxima: input end ] */ | |
| /* [wxMaxima: input start ] */ | |
| poly_reduced_grobner([X^2-Y*Z-3,Y^2-X*Z-4,Z^2-X*Y-5],[X,Y,Z]); | |
| poly_reduced_grobner([X^2-Y*Z-3,Y^2-X*Z-4,Z^2-X*Y-5],[Z,X,Y]); | |
| /* [wxMaxima: input end ] */ | |
| /* [wxMaxima: comment start ] | |
| Aquí tampoco hay cambios. | |
| [wxMaxima: comment end ] */ | |
| /* [wxMaxima: input start ] */ | |
| poly_monomial_order:invlex; | |
| poly_reduced_grobner([X^2-Y*Z-3,Y^2-X*Z-4,Z^2-X*Y-5],[X,Y,Z]); | |
| poly_reduced_grobner([X^2-Y*Z-3,Y^2-X*Z-4,Z^2-X*Y-5],[Z,X,Y]); | |
| /* [wxMaxima: input end ] */ | |
| /* [wxMaxima: comment start ] | |
| Con este nuevo orden las bases son distintas. | |
| [wxMaxima: comment end ] */ | |
| /* [wxMaxima: input start ] */ | |
| poly_monomial_order:lex; | |
| poly_reduced_grobner([X^2-Y*Z-3,Y^2-X*Z-4,Z^2-X*Y-5],[X,Y,Z]); | |
| poly_reduced_grobner([X^2-Y*Z-3,Y^2-X*Z-4,Z^2-X*Y-5],[Z,X,Y]); | |
| /* [wxMaxima: input end ] */ | |
| /* [wxMaxima: comment start ] | |
| De nuevo obtenemos las bases primeras. | |
| [wxMaxima: comment end ] */ | |
| /* Maxima can't load/batch files which end with a comment! */ | |
| "Created with wxMaxima"$ |
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