What's New in Maple 14: Intersect<Text-field style="Heading 1" layout="Heading 1">Description of Feature</Text-field>The command Intersect(f, rc, R) computes the common solutions of the polynomial f and the regular chain rc in the following sense. Let V be the hypersurface defined by f, that is, the solutions of the equation f = 0 . Let W be the quasi-component of rc. Then Intersect(f, rc, R) returns regular chains such that the union of their quasi-components contains V and W and this union is contained in the intersection of V and the Zariski closure of W. You can use the function Intersect to solve systems of equations incrementally by hand, that is, one equation after the other. The example below illustrates this strategy.<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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JSFHJSFHDefine a set of equations.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JSFHDefine the empty regular chain.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JSFHSolve the first equation.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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=JSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Solve the first and second equations.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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Solve the three equations together.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
O que h\303\241 de novo no Maple 14: Intersect<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Descri\303\247\303\243o do recurso</Font></Text-field>O comando Intersect(f, rc, R) calcula as solu\303\247\303\265es comuns do polin\303\264mio f e da cadeia regular rc no seguinte sentido. Seja V a hipersuperf\303\255cie definida por f, ou seja, as solu\303\247\303\265es da equa\303\247\303\243o f = 0. Seja W o quase-componente de rc. Ent\303\243o Intersect(f, rc, R) retorna cadeias regulares de modo que a uni\303\243o de seus quase-componentes cont\303\251m V e W e essa uni\303\243o est\303\241 contida na interse\303\247\303\243o de V e o fechamento de Zariski de W.Voc\303\252 pode usar a fun\303\247\303\243o Intersect para resolver sistemas de equa\303\247\303\265es de forma incremental \303\240 m\303\243o, ou seja, uma equa\303\247\303\243o ap\303\263s a outra. O exemplo abaixo ilustra essa estrat\303\251gia.<Text-field style="Heading 1" layout="Heading 1">Exemplos </Text-field>Carregar a biblioteca cadeias 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um anel de 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um conjunto de 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a cadeia regular vazia.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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Resolva a primeira equa\303\247\303\243o.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JSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=JSFHResolva a primeira e a segunda equa\303\247\303\265es.
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Resolva as tr\303\252s equa\303\247\303\265es juntas.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=JSFHJSFH