调和函数

词组短语

harmonic function · ellipsoidal harmonics

与调和函数相关的网络例句 [注：此内容来源于网络，仅供参考]

These application examples indicate that the direct method derived in this paper simplifies the process of constructing the Airy function in specific plane problems.

这些例子说明，利用本文的观察法可以将某些平面问题应力函数构造的过程简单化。关键词双调和函数， Airy应力函数，弹性力学平面问题

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。

In this paper, by using Cauchy-Riemanne condition of analytic function, a simple solving process of analytic function with a harmonic function as its real pan or pure part is presented.

文章利用解析函数的Cauchy-Riemanne条件，给出了调和函数作为解析函数的实部或虚部时解析函数的一种简单求法。

Introduce the concept of random regular function and random potential function at first, a necessary and sufficient condition of random potential function for denumerable Markov chain in random environment is provided, and the unique decomposition property of nonnegative random super-regular function is discussed.

首先引入随机位势函数的概念，给出随机位势函数的一个首要条件，进而讨论非负随机上调和函数的唯一分解性。

harmonic function ; Liouville theorem ; Dirichlet integral ; relative compact domain

并得到 次调和函数的Liouville定理和具有有限的 Dirichlet积分的次调和函数的性质。

Harmonic function generalizes the harmonic function, the following respects are discussed: the least energy, Liouville theorem with respect to harmonic function and the relation of harmonic function and subharmonic function.

如对次调和函数的平均值不等式的推导[3- 4 ] ，调和函数的存在性的证明等[5] 。2 0 0 0年，PeterLi提出了另外一种函数，即调和函数，这一类函数比调和函数的应用广泛得多，同时又具有和调和函数类似的性质。

We take the spherical harmonic functions as base functions on the spherical surface and other systems of orthogonal functions as base functions in the direction of radius. However.

据此，我们可以在球面上以球面调和函数为基函数而在半径方向以其它适当的正交函数系为基函数，从而构成一种混合谱方法。

First we give the definition of semicontinuous and subharmonic functions and the propertities of the semicontinuous and subharmonic functions and then introduce the notion of plurisubharmonic functions and the propertities of psh functions, then we give the definition of closed positive currents and the relation between psh functi.

首先总结了半连续函数和次调和函数的定义及其性质，然后在此基础上介绍了多次调和函数的定义及其性质，引入了正闭流的定义，说明了正闭流与多次调和函数之间的联系。

If theharmonic index is finite,then each end may be represented by a non-constant positiveharmonic function,and these functions compose a partition of unity.For minimalhypersurfaces with finite total scalar curvature,we can explicitly estimate the harmonicindex.Moreover,the space of bounded harmonic functions are exactly generated bythose functions associated to each end.This gives geometric interpretations of the ends.

若调和指标有限，则每个端均可由一非常值的调和函数代表，它们形成了一个单位分解，对于全纯量曲率有限的极小超曲面，我们明确地估计了调和指标，进一步，有界调和函数正好由代表端的那些调和函数所生成，这就给出了端的几何解释。

In chapter 4,we consider the existence of harmonic function in negative sectional curvature manifolds.we get that,if Ricci ≥-C(1 + r~2)r =ρ(O.x, then there have non-canstant bounded harmnic function in negative sectional curvature manifolds.

第四章考虑负曲率流形上调和函数，得到了在Ricci≥-C(1+r~2)其中r=ρ的负曲率流形的调和函数的存在性。

与调和函数相关的网络解释 [注：此内容来源于网络，仅供参考]

harmonic progression：调和函数

Harmonic mean 调和平均数 | Harmonic progression 调和函数 | Hazard function 冒险函数,危险函数

sectorial harmonic：瓣谐函数;扇形[调和]函数

扇形聚焦型回旋加速器 sector-focused cyclotron | 瓣谐函数;扇形[调和]函数 sectorial harmonic | 长期光行差 secular aberration

sectorial harmonic function：扇区调和函数

扇区档案控制器,分区档案控制器 sectored file controller,SFC | 扇区调和函数 sectorial harmonic function | 扇区球面调和函数 sectorial spherical harmonics

tesseral spherical harmonics：田形的球面调和函数

田形调和函数 tesseral harmonics | 田形的球面调和函数 tesseral spherical harmonics | 检验;试验;测验;检定 test

sectorial spherical harmonics：扇区球面调和函数

扇区调和函数 sectorial harmonic function | 扇区球面调和函数 sectorial spherical harmonics | 分区 sectoring

subharmonic function：劣调和函数

劣调和的 subharmonic | 劣调和函数 subharmonic function | 劣调和共振 subharmonic resonance

subharmonic function：次调和函数

11637,"subharmonic","次调和的" | 11638,"subharmonic function","次调和函数" | 11639,"subharmonic resonance","次调和共振"

tesseral harmonic：田形调和函数;田谐函数

tesselated mirror 嵌合反射镜 | tesseral harmonic 田形调和函数;田谐函数 | Tethys 土卫三

sectorial harmonies：扇调和函数

扇形 sector | 扇调和函数 sectorial harmonies | 扇形球调和函数 sectorial spherical harmonies

tesseral harmonics：田形[调和]函数

排中律 tertium non datur | 田形调和函数 tesseral harmonics | 田形的球面调和函数 tesseral spherical harmonics