查询词典 imbedding theorem

Owing to Gauss' theorem and superposition theorem of electric field strength,the electric field can be calculated in two different ways.This article expounds concisely and percisely the points which deserve attention in applying the two ways separately and clears up some wrong views.

文摘：静电场的问题可以采用高斯定理和场强叠加原理这两种不同途径求解，本文讨论了采用这两种不同途径求解时分别应注意的事项，并澄清了一些错误的认识。

Owing to Gauss' theorem and superposition theorem of electric field strength,the electric field can be calculated in two different ways.This article expounds concisely and percisely the points which deserve attention in applying the two ways sep

文摘：静电场的问题可以采用高斯定理和场强叠加原理这两种不同途径求解，本文讨论了采用这两种不同途径求解时分别应注意的事项，并澄清了一些错误的认识。

Through the use of the Gauss theorem and the Ampere loop theorem to solute the Maxwell's equations, the mathematical expression of the PCB ground plane inductance is obtained, and then through the analyze of the current-driven mode radiation, the common-mode voltage expression of current-driven mode is got.

通过对共模辐射的模式化分析，得到电流驱动模式共模辐射的数学表达式。

In Chapter 3, we consider the semi-direct product AG, and analyze the decomposition in AG of idempotents of AH, and obtain a precise algebraic description; as a corollary, we show a criterion of the primitivity in AG of a primitive idempotent of AH, hence a theorem of Fong and a theorem of Green are generalized to an uniform setting.

考虑半直积AG，我们分析了AH的幂等元在AG中的分解模式，得到了一个准确的代数刻画；作为它的推论，给出了AH的本原幂等元在AG中仍然本原的判断准则，从而将Fong的定理和Green的定理推广到了一个统一的情形。

Part Ⅰ deals with the foundmental theory of variational technique in the lossy electromagnetic fields. In chapter two and three the Green theorem is introduced so the unified method to derive functional is given. Chapter four is devoted to discuss two type of inner product. In chapter five the generialized least function theorem is given and applied in the derivation of variational expressions.

第一篇主要是关于有耗电磁变分的基础理论，由四章组成，前二章引入了以Green定理为核心的边值问题理论，建立了电磁变分的普遍理论，第四章从对称的观点出发讨论了建立泛函的两种内积形式，第五章给出了一般电磁场的广义最小作用量原理，并用之解决变分问题。

In this chapter, firstly, the definition of rough semigroups is given afresh. Then based on rough groups, rough subgroups, rough cosets, rough invariant subgroups, some properties of rough subgroups and rough invariant subgroups and the concept of rough quotient groups are introduced. Finally, based on some concepts of homomorphism and isomorphism of rough groups, basic homomorphism theorem and isomorphism theorem of rough groups are put forward and proved.

在这一章中，首先重新给出了粗糙半群的定义，其次在粗糙群、粗糙子群、粗糙陪集、粗糙不变子群的基础上，给出了粗糙子群的若干性质、粗糙不变子群的三个重要性质和粗糙商群的定义，最后在粗糙群同态与同构的基础上，给出了粗糙群同态基本定理与同构定理。

In this paper, by computing the Laplace of the square of the length of the second fundamental form and introducing a self-adjoint operator and using Stokes Theorem and Hopf Theorem, we obtained some pinching theorems and rigidity theorems for hypersurfaces and submanifolds in hyperbolic space.

本论文通过计算双曲空间中子流形的第二基本形式模长平方的拉普拉斯和引进一个新的自共轭二阶算子，利用Stokes定理和Hopf定理得到了子流形的一些拼挤定理和刚性定理。

Theorem, Implicit Function Theorem and its Applications.

分函数，可积分函数，反函数，隐函数定理及其应用，向量微积分基本定理

By using implicit function theorem, Taylor's formula and mean theorem, the form of the non-affine nonlinear systems is transformed into the form of affine nonlinear systems.

利用隐函数定理和泰勒公式及中值定理，将非仿射非线性系统转变为仿射型非线性系统。

The unique existence theorem for minimal determining set of completerational choice function is obtained,and the sufficient condition is used to show avery simple proof of Arrow Impossibility Theorem.

构造并证明了完全理性选择函数的最小决定集的存在惟一性定理，同时应用该定理的充分性条件给出了Arrow不可能性定理的一个简单证明。

You can do some assertiveness training.

你可以进行一些自信训练。

We were well on the path to making a rear-wheel-drive global platform," says Mays."

我们正致力于建立一个后轮驱动的平台，"Mays这样说道。"