What's New in Maple 14: SubresultantChain with different representation<Text-field style="Heading 1" layout="Heading 1">Description of Feature</Text-field>The command SubresultantChain in the ChainTools module is used to compute the subresultant chain of two polynomials. The encoding of the subresultants can be controlled by an optional argument. This encoding can be by values, over the monomial basis or via the Bezout Matrix. When this optional argument is not specified, the encoding is chosen according to a heuristical algorithm.<Text-field style="Heading 1" layout="Heading 1">Examples </Text-field>Load the RegularChains library.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYkUShyZXN0YXJ0RicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGNC1JI21vR0YkNi5RIjtGJy8lJ2l0YWxpY0dGOS9GNVEnbm9ybWFsRicvJSZmZW5jZUdGOS8lKnNlcGFyYXRvckdRJXRydWVGJy8lKXN0cmV0Y2h5R0Y5LyUqc3ltbWV0cmljR0Y5LyUobGFyZ2VvcEdGOS8lLm1vdmFibGVsaW1pdHNHRjkvJSdhY2NlbnRHRjkvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4yNzc3Nzc4ZW1GJ0Y3RjQ=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 a ring of polynomials.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 two polynomials of R.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Compute their subresultant chain w.r.t the variable LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEieUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GMg==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 result is of type LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEzc3VicmVzdWx0YW50X2NoYWluRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYvUSJ+RicvJSdpdGFsaWNHRjFGLy9GM1Enbm9ybWFsRicvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZNRi9GMg==and encodes all the polynomials in the subresultant chain. To display the LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiaUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JVEjdGhGJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYvUSJ+RicvJSdpdGFsaWNHRjRGMi9GNlEnbm9ybWFsRicvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZYRjJGNQ==subresulant polynomial, one can call the command SubresultantOfIndex. For example, to know the subresultant of index LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JlEiMEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lK2V4ZWN1dGFibGVHRjEvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2L1EiLEYnRi9GMkY0LyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjg2L1EifkYnRi9GMkY0RjsvRj5GMUZARkJGREZGRkhGSi9GTkZMRjIvRjVRJ2l0YWxpY0Ynthat is the resultant, one can do as 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The encoding of the subresultants can be controlled by an optional argument. This encoding can be by values, over the monomial basis or via the Bezout Matrix. When this optional argument is not specified, the encoding is chosen according to a heuristical algorithm.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O que h\303\241 de novo no Maple 14: Cadeia de Subresultantes com representa\303\247\303\243o diferente<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Descri\303\247\303\243o do recurso</Font></Text-field>O comando SubresultantChain no m\303\263dulo ChainTools \303\251 usado para calcular a cadeia de subresultantes de dois polin\303\264mios. A codifica\303\247\303\243o dos subresultantes pode ser controlada por um argumento opcional. Essa codifica\303\247\303\243o pode ser por valores, sobre a base monomial ou via Matriz de Bezout. Quando este argumento opcional n\303\243o \303\251 especificado, a codifica\303\247\303\243o \303\251 escolhida de acordo com um algoritmo heur\303\255stico.
<Text-field style="Heading 1" layout="Heading 1">Exemplos </Text-field>Carregar a biblioteca RegularChains.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYkUShyZXN0YXJ0RicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGNC1JI21vR0YkNi5RIjtGJy8lJ2l0YWxpY0dGOS9GNVEnbm9ybWFsRicvJSZmZW5jZUdGOS8lKnNlcGFyYXRvckdRJXRydWVGJy8lKXN0cmV0Y2h5R0Y5LyUqc3ltbWV0cmljR0Y5LyUobGFyZ2VvcEdGOS8lLm1vdmFibGVsaW1pdHNHRjkvJSdhY2NlbnRHRjkvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4yNzc3Nzc4ZW1GJ0Y3RjQ=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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
Defina um anel de polin\303\264mios.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
Defina dois polin\303\264mios de R.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Calcule sua cadeia de subresultantes com a vari\303\241vel LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEieUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GMg==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 resultado \303\251 do tipo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEzc3VicmVzdWx0YW50X2NoYWluRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYvUSJ+RicvJSdpdGFsaWNHRjFGLy9GM1Enbm9ybWFsRicvJSZmZW5jZUdGMS8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZNRi9GMg==e codifica todos os polin\303\264mios na cadeia de subresultantes. Para exibir o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiaUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82JVEjdGhGJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYvUSJ+RicvJSdpdGFsaWNHRjRGMi9GNlEnbm9ybWFsRicvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZYRjJGNQ==polin\303\264mio subresulante, pode-se chamar o comando SubresultantOfIndex. Por exemplo, para saber o subresultante do \303\255ndice "0", esse \303\251 o resultado, pode-se fazer o 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 codifica\303\247\303\243o dos subresultantes pode ser controlada por um argumento opcional. Essa codifica\303\247\303\243o pode ser por valores, sobre a base monomial ou via Matriz de Bezout.
Quando este argumento opcional n\303\243o \303\251 especificado, a codifica\303\247\303\243o \303\251 escolhida de acordo com um algoritmo heur\303\255stico.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYtLUkjbWlHRiQ2JFEkc3JjRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEjOj1GJy8lJ2l0YWxpY0dRJmZhbHNlRicvRjBRJ25vcm1hbEYnLyUmZmVuY2VHRjgvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSy1GLDYkUTJTdWJyZXN1bHRhbnRDaGFpbkYnRi8tSShtZmVuY2VkR0YkNiUtRiM2Ly1JJW1zdWJHRiQ2JS1GLDYkUSJmRidGLy1GIzYkLUkjbW5HRiQ2JVEiMUYnRjZGOUYvLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRjM2LlEiLEYnRjZGOUY7L0Y+USV0cnVlRidGP0ZBRkNGRUZHL0ZKUSYwLjBlbUYnL0ZNUSwwLjMzMzMzMzNlbUYnLUZXNiVGWS1GIzYkLUZpbjYlUSIyRidGNkY5Ri9GXG9GX28tRiw2JFEieUYnRi9GX28tRiw2JFEiUkYnRi9GX28tRjM2LlEifkYnRjZGOUY7Rj1GP0ZBRkNGRUZHRmRvL0ZNRmVvLUYsNiRRL3JlcHJlc2VudGF0aW9uRidGLy1GMzYuUSI9RidGNkY5RjtGPUY/RkFGQ0ZFRkdGSUZMLUYsNiRRLUJlem91dE1hdHJpeEYnRi9GL0Y2RjktRjM2LlEiO0YnRjZGOUY7RmJvRj9GQUZDRkVGR0Zkb0ZMLUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHRmVvLyUmZGVwdGhHRmpxLyUqbGluZWJyZWFrR1EobmV3bGluZUYnLUYsNiRRI29wRidGLy1GUjYlLUYjNiVGKy8lK2V4ZWN1dGFibGVHRjhGL0Y2RjlGYnFGaXJGLw==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYtLUkjbWlHRiQ2JFEkc3JjRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEjOj1GJy8lJ2l0YWxpY0dRJmZhbHNlRicvRjBRJ25vcm1hbEYnLyUmZmVuY2VHRjgvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSy1GLDYkUTJTdWJyZXN1bHRhbnRDaGFpbkYnRi8tSShtZmVuY2VkR0YkNiUtRiM2Ly1JJW1zdWJHRiQ2JS1GLDYkUSJmRidGLy1GIzYkLUkjbW5HRiQ2JVEiMUYnRjZGOUYvLyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRjM2LlEiLEYnRjZGOUY7L0Y+USV0cnVlRidGP0ZBRkNGRUZHL0ZKUSYwLjBlbUYnL0ZNUSwwLjMzMzMzMzNlbUYnLUZXNiVGWS1GIzYkLUZpbjYlUSIyRidGNkY5Ri9GXG9GX28tRiw2JFEieUYnRi9GX28tRiw2JFEiUkYnRi9GX28tRjM2LlEifkYnRjZGOUY7Rj1GP0ZBRkNGRUZHRmRvL0ZNRmVvLUYsNiRRL3JlcHJlc2VudGF0aW9uRidGLy1GMzYuUSI9RidGNkY5RjtGPUY/RkFGQ0ZFRkdGSUZMLUYsNiRRLk1vbm9taWFsQmFzaXNGJ0YvRi9GNkY5LUYzNi5RIjtGJ0Y2RjlGO0Zib0Y/RkFGQ0ZFRkdGZG9GTC1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR0Zlby8lJmRlcHRoR0ZqcS8lKmxpbmVicmVha0dRKG5ld2xpbmVGJy1GLDYkUSNvcEYnRi8tRlI2JS1GIzYkRitGL0Y2RjlGYnEvJStleGVjdXRhYmxlR0Y4Ri8=JSFH