What's New in Maple 14: Isolating real roots of a semi-algebraic system<Text-field style="Heading 1" layout="Heading 1">Description of Feature</Text-field>The command RealRootIsolate can now isolate the real roots of a semi-algebraic system with finitely many complex solutions. Recall that a semi-algebraic system (SAS) is a system containing polynomial equations, polynomial (non-strict or/and strict) inequalities, and polynomial inequations, which are denoted by LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiRkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GMg==, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiTkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GMg==, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiUEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GMg==, and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiSEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GMg==, respectively. <Text-field style="Heading 1" layout="Heading 1">Examples </Text-field>Load the RegularChains library.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JFEocmVzdGFydEYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi5RIjtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvRjBRJ25vcm1hbEYnLyUmZmVuY2VHRjgvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJStleGVjdXRhYmxlR0Y4Ri8=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The system 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 is represented 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Define the polynomial 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JSFHThe RealRootIsolate command isolates all the real zeros of a given semi-algebraic system.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY1LUkjbWlHRiQ2JFEjcnJGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYuUSJ+RicvJSdpdGFsaWNHUSZmYWxzZUYnL0YwUSdub3JtYWxGJy8lJmZlbmNlR0Y4LyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkstRjM2LlEqJmNvbG9uZXE7RidGNkY5RjtGPUY/RkFGQ0ZFRkcvRkpRLDAuMjc3Nzc3OGVtRicvRk1GUkYyLUYsNiRRMFJlYWxSb290SXNvbGF0ZUYnRi8tSShtZmVuY2VkR0YkNiUtRiM2LC1GLDYkUSJGRidGLy1GMzYuUSIsRidGNkY5RjsvRj5RJXRydWVGJ0Y/RkFGQ0ZFRkdGSS9GTVEsMC4zMzMzMzMzZW1GJy1GLDYkUSJORidGL0Zpbi1GLDYkUSJQRidGL0Zpbi1GLDYkUSJIRidGL0Zpbi1GLDYkUSJSRidGL0YvRjZGOS1GMzYuUSI7RidGNkY5RjtGXG9GP0ZBRkNGRUZHRklGUy1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR0ZLLyUmZGVwdGhHRmRwLyUqbGluZWJyZWFrR1EobmV3bGluZUYnLUZgcDYmRmJwRmVwRmdwL0ZqcFElYXV0b0YnLUYsNiRRKXNvbHV0aW9uRidGL0ZOLUYsNiRRJG1hcEYnRi8tRlg2JS1GIzYoLUYsNiRRKkJveFZhbHVlc0YnRi9GaW5GK0ZpbkZpb0YvRjZGOUZccEZfcEZccS1GLDYjUSFGJy8lK2V4ZWN1dGFibGVHRjhGLw==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2I1EhRictSSdtc3BhY2VHRiQ2Ji8lJ2hlaWdodEdRJjAuMGV4RicvJSZ3aWR0aEdRJjAuMGVtRicvJSZkZXB0aEdGNC8lKmxpbmVicmVha0dRKG5ld2xpbmVGJy1GMDYmRjJGNUY4L0Y7USVhdXRvRidGKy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0ZDLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==O que h\303\241 de novo no Maple 14: Isolando ra\303\255zes reais de um sistema semi-alg\303\251brico<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Descri\303\247\303\243o do recurso</Font></Text-field>O comando RealRootIsolate agora pode isolar as ra\303\255zes reais de um sistema semi-alg\303\251brico com um n\303\272mero finito de solu\303\247\303\265es complexas. Lembre-se de que um sistema semi-alg\303\251brico (SAS) \303\251 um sistema que cont\303\251m equa\303\247\303\265es polinomiais, desigualdades polinomiais (n\303\243o estritas ou / e estritas) e inequa\303\247\303\265es polinomiais, que s\303\243o denotadas porLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiRkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GMg==, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiTkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GMg==, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiUEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GMg==, e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiSEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GMg==, respectivamente. <Text-field style="Heading 1" layout="Heading 1">Exemplos </Text-field>Carregue a biblioteca Cadeia 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sistema 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\303\251 representado 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Defina o anel 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=O comando RealRootIsolate isola todos os zeros reais de um determinado sistema semi-alg\303\251brico.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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=