英语人>词典>汉英 : 调和变换 的英文翻译,例句
调和变换 的英文翻译、例句

调和变换

词组短语
Laplace transform
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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。

We arrange it as follows:In chapter one, we give some explicit constructions of harmonic maps from Lorentz space R1,1 to classical semisimple Lie groups SL,SU Sp, SO by using Darboux transformation, i.e., we may obtain a new parallel transport from a known one via purely algebraic algorithm.

全文共分四章,具体内容如下:第一章利用Darboux变换的方法给出从R~(1,1)到经典实半单Lie群SL,SU,Sp,SO的调和映射的具体构造,即从已知的平行移动Φ_λ通过Darboux变换的方法得到新的平行移动?

A logicaldomain is used as a reference and the mesh movingis implemented according to an appropriate domain transformation.With sometraditional moving mesh methods,the meshes in physical domain may be tangled.To avoid this,the transformations are constructed based on harmonic mapping.Agood feature of the adaptive methods based on harmonic mapping is that existence,uniqueness and non-singularity for the continuous map can be guaranteed fromthe theory of harmonic maps.

在移动网格方法中,需要引进一个逻辑区域作为参考,网格的移动往往通过一个区域变换来实现,网格可能发生缠绕的问题是移动网格方法中一个一直没有解决的问题,我们利用调和映射来构造区域间的变换,使得变换的存在唯一生有了理论的保证,这就为避免网格缠绕打下了基础。

In Chapter 2, we mainly study the exact inversion and approximate inversion of the exponential Radon transform, and obtain the Sobolev analytic results; for convenience of practical calculation, we establish the another form of reconstruction formula through harmonic decomposition.

第二章我们主要讨论平面上的指数型Radon变换的精确反演和近似反演,得到了它们的有关Sobolev分析结果;为了实际计算的方便,我们用调和分解法作了进一步讨论,得到了重构公式的另一种表达形式。

A series of orthogonal finite element function is presented by group method and finite element method.

正交函数由于其相互正交使得计算量大大地减少,历来为人们所关注,在连续函数中有著名的调和函数,离散分析中有正弦变换和。。。

The Normal Morlet Wavelet Transform, which is a mathematical method for harmonic analysis, is introduced in this study.

引入标准Morlet小波变换,并将其作为调和分析的工具应用于实际的数据处理中。

In this paper, we give explicit constructions and formulations for harmonic maps from R1,1 into classical real semisimple Lie groups by using Darboux transformation. We also discuss pluriharmonic maps from complex manifoldsinto symmetric spaces and Willmore surfaces in Sn. By converting geometric conditions satisfied by these maps into integrable systems, and using the the-ory of integrable systems, we give explicit constructions for pluriharmonic maps from complex manifolds into symmetric spaces and the Willmore surfaces in Sn respectively. Finally, we classify hypersurfaces in Sn+1 with three distinct prin-ciple curvatures and zero Mobius form using the theory of Mobius geometry. The paper consists of four chapters.

本文首先利用Darboux变换的方法给出了从Lorentz平面R~(1,1)到经典实半单Lie群的调和映照的具体构造,并给出其显式表示;其次研究了复流形到对称空间的多重调和映照及球空间S~n中Willmore曲面,将这些映照所满足的几何条件转化为可积系统,然后利用可积系统理论分别给出复流形到对称空间的多重调和映照与S~n中Willmore曲面的构造;最后利用Mōbius几何的理论给出S~(n+1)中具有三个不同主曲率且Mōbius形式为零的超曲面的分类。

There isn't maximum principle for polyharmonic equation,so this paper first established a super-sub-sulution theorem via low semi-continuity and changed assistant function.

因为多重调和方程没有极值原理,所以首先利用泛函弱半连续性和适当变换辅助函数的方法建立起多重调和方程的上下解定理。

更多网络解释与调和变换相关的网络解释 [注:此内容来源于网络,仅供参考]

babushka:巴布什卡

开罗革(Kellogg)与赛德尔(Seidel)关于保角变换的边值定理,孟德尔(Montel)、辻正茨(Tsuji)与鲁米斯(Loomis)关于正规族和调和函数的结果,法都(Fatou)关于泊阿松(Poisson)积分的定理,巴布什卡(Babushka)不等式,柯西(Cauchy)型积分定理,

dual group:对偶群

在调和分析中, 一个变换从一个群变换到它的对偶群(dual group). 此外,将傅里叶变换与卷积相联系的卷积定理在调和分析中也有类似的结论. 傅里叶变换的广义理论基础参见庞特里雅金对偶性(Pontryagin duality)中的介绍.

ethylene chloride:氯乙烯

level off 平整, 变平, 稳定 | ethylene chloride 氯乙烯 | superharmonic transformation 上调和变换

Laplace harmonic equation:拉普拉斯调和方程

拉普拉斯变换法|method of Laplace transformation | 拉普拉斯调和方程|Laplace harmonic equation | 拉普拉斯分布|Laplace distribution

locally compact:局部紧

这些傅立叶变换的变种可以被更统一的表述成任意局部紧(locally compact)的阿贝尔(abelian)拓扑群(topological group)上的傅立叶变换,这一问题属于调和分析(harmonic analysis)的范畴; 在调和分析中, 一个变换从一个群变换到它的对偶群(dual group).

superharmonic transformation:上调和变换

ethylene chloride 氯乙烯 | superharmonic transformation 上调和变换 | antipodal cone 反足锥

topological group:拓扑群

这些傅立叶变换的变种可以被更统一的表述成任意局部紧(locally compact)的阿贝尔(abelian)拓扑群(topological group)上的傅立叶变换,这一问题属于调和分析(harmonic analysis)的范畴; 在调和分析中, 一个变换从一个群变换到它的对偶群(dual group).

antipodal cone:反足锥

superharmonic transformation 上调和变换 | antipodal cone 反足锥 | single frame 单帧, 一幅画面