“AxiomA”的概念、定义、习题解题方法及翻译-数学辞典

单词	AxiomA
释义	Axiom A Let $M$ be a smooth manifold. We say that a diffeomorphism $f\\colon M\\to M$ satisfies(Smale’s) Axiom A (or that $f$ is an Axiom A diffeomorphism) if 1. the nonwandering set $\\Omega(f)$ has a hyperbolic structure; 2. the set of periodic points of $f$ is dense in $\\Omega(f)$ : $\\overline{\\operatorname{Per}(f)}=\\Omega(f)$ . Sometimes, Axiom A diffeomorphisms are called hyperbolic diffeomorphisms, because the portion of $M$ where the “interesting” dynamics occur (namely, $\\Omega(f)$ ) has a hyperbolic behaviour.
随便看	proof of theorem on equivalent valuations ProofOfTheoremsInAdditivelyIndecomposable proof of theorems in additively indecomposable ProofOfThePowerRule proof of the power rule ProofOfTheRingOfIntegersOfANumberFieldIsFinitelyGeneratedOvermathbbZ proof of the ring of integers of a number field is finitely generated over ℤ ProofOfTheUniformizationTheorem proof of the uniformization theorem ProofOfTheWeakNullstellensatz proof of the weak Nullstellensatz ProofOfTheWellfoundedInductionPrinciple proof of the well-founded induction principle ProofOfThirdIsomorphismTheorem proof of third isomorphism theorem ProofOfThuesLemma proof of Thue’s Lemma ProofOfTietzeExtensionTheorem proof of Tietze extension theorem ProofOfTopologicallyIrreducibleRepresentationsAreAlgebraicallyIrreducibleForCalgebras proof of topologically irreducible representations are algebraically irreducible for C^*-algebras ProofOfTranscendentalRootTheorem proof of transcendental root theorem ProofOfTriangleIncenter proof of triangle incenter

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。

Axiom A