英语词汇“monodromy theorem”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

monodromy theorem n. the theorem that if a function of a complex variable is analytic at a point inside a simply connected domain, and can be uniquely extended to an analytic function along all paths in the domain leading from the point, then it can be uniquely extended to a single-valued analytic function on the whole domain.

ΚΠ

1934 Trans. Amer. Math. Soc. 36 225 By the monodromy theorem..the function ϕ[f(z)] is analytic and single-valued in the circle |z| < 1.

1992 Amer. Jrnl. Math. 114 537 Since O is simply-connected, the monodromy theorem implies that these continuations of h do not depend on the choice of path.

2011 J. L. Taylor Complex Variables vii. 227 The concept of analytic continuation along a curve and the Monodromy Theorem serve to bring order to this process.

单词	monodromy theorem
释义	> as lemmas monodromy theorem monodromy theorem n. the theorem that if a function of a complex variable is analytic at a point inside a simply connected domain, and can be uniquely extended to an analytic function along all paths in the domain leading from the point, then it can be uniquely extended to a single-valued analytic function on the whole domain. ΚΠ 1934 Trans. Amer. Math. Soc. 36 225 By the monodromy theorem..the function ϕ[f(z)] is analytic and single-valued in the circle \|z\| < 1. 1992 Amer. Jrnl. Math. 114 537 Since O is simply-connected, the monodromy theorem implies that these continuations of h do not depend on the choice of path. 2011 J. L. Taylor Complex Variables vii. 227 The concept of analytic continuation along a curve and the Monodromy Theorem serve to bring order to this process. extracted from monodromyn. < as lemmas
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