analytic function

analytic function的基本解释

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[机] 解析函数

与analytic function相关的网络例句 [注：此内容来源于网络，仅供参考]

For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .

对于一阶椭圆型方程组的Riemann边值问题，是通过把它们转化为与原问题等价的奇异积分方程，利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理，证明在某些假设条件下所讨论问题的解的存在性；对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式，引入Cauchy主值积分，通过对区域边界的离散化，得到边界积分方程，再利用边界条件得到问题的解。

In this paper, five equivalent conditions of the definition and five special nature of analytic function are given, and followed by their mutual equivalence of the proof , the relationship between the equivalent conditions and the nature of analytic functions is revealed, which can help us to learn the concept of complex variable function in deep depth and make analytic functions an important role in complex variable function.

本文依次给出了解析函数的五个等价条件及五个性质，并通过对它们相互等价性的证明，导出了解析函数等价条件与性质之间的关系，更加深入地揭示解析函数这一概念的内涵，展示出了解析函数在复变函数论学习中的重要性。

The content of this course is: analytic function (the definition of analytic function, elementary functions, etc.), conformal mapping (the definition if conformal mapping, fractional linear functions, elementary mappings, etc.), complex integration (Cauchy's integral formula, Cauchy's theorem, etc.), Series (Laurent Series, singularities, local property, etc.), residues and its applications (the Residues Theorem, integration by residues, the Argument Principle, the Maximum Principle, Schwarz's Lemma, etc.), analytic continuation and harmonic functions, etc.

本课程内容主要包括：解析函数(解析函数的定义、初等函数等)、共形映射(共形映射的定义、分式线性变换及初等映射等)、复积分(Cauchy 积分公式、 Cauchy 定理等)、级数(Laurent 级数、孤立奇点、局部映射等)、留数及其应用(留数定理、利用留数计算积分、幅角原理、最大模原理、 Schwarz 引理等)、解析开拓和调和函数等内容。

与analytic function相关的网络解释 [注：此内容来源于网络，仅供参考]

analytic function：解析函数

DE解析函数 (analytic function) :可以用幂级数 (power series) 表示的函数;经常是可以无限微分的函数. 例如三角函数里的正弦函数是解析函数.

analytic function：分析函数

Oracle分析函数(Analytic Function)依赖于对行的分组,是对行进行分组之后,计算这些分组的值. 所以,分析函数是对查询的结果集按照分析子句和分析函数的规则来进行进一步的操作. 首先按照分析子句对行进行分组(大组),然后扫描各个分组,

analytic function：分析函数;解析函数

"analytic design","分析设计" | "analytic function","分析函数,解析函数" | "analytic signal","解析讯号"

analytic function：分析函数式,解析函数

analytic factor 分析因数 | analytic function 分析函数式,解析函数 | analytic function generator 解析函数发生器

locally analytic function：局部解析函数

localizing subcategory 局部化子范畴 | locally analytic function 局部解析函数 | locally arcwise connected space 局部弧连通空间