查询词典 imbedding theorem

Based on the linear theory of gyrotron, and using the Laplace transformation and residue theorem, the kinetic theory of a novel gyrotron with three-mirror quasi-optical cavity is developed within the framework of the linearized Vlasov-Maxwell equations.

基于回旋管线性理论，运用Laplace变换和留数定理的方法，在线性Vlasov-Maxwell方程组的框架下，研究了特殊三反射镜准光腔回旋管的动力学理论。

The vibration of the nitrogen atom about its equilibrium positions are analyzed in terms of its trajectories solved from the Hamilton equations of motion. The vibration periods are computed by residue theorem and compared with the experimental measurement.

本论文将Rosen-Morse Potential应用至氮原子在氨分子中所受之双最低点位势，由氮原子在复数空间下之运动轨迹，求出其穿隧范围及振动频率，并与实验所得之氨分子振动频率作比较。

Combined the expressions with the proposed z-domain model, the timing jitter of CP-PLL output related to different noise sources in the loop are also investigated in z-domain: Residue theorem is adopt to simplify the calculation, and optimize the noise bandwidth in terms of the PSDs of VCO and input reference clock, which is instructive to design the loop parameters.

在此基础上，结合新型z域模型求解了CP-PLL环路中的噪声抖动问题：利用复变函数中的留数定理，解析地给出不同噪声源情况下，PLL的抖动大小，得到了最优噪声带宽，为电路的环路参数设计提供了理论指导。

Utilizing Sylvester's theorem and Fourier series expansion method, commonly used in the spectral decomposition for matrix, the frequency response functions of parametrically excited system were derived theoretically and the external resonance condition was obtained.

采用矩阵谱分解中常用的Sylvester理论和Fourier级数展开法，推导了单自由度参数振动系统的频响函数，并得到了系统外激励共振条件。

Thirdly,we study certain Riemann boundary value problems and Singularintegral equations with values in a universal Clifford algebra 〓,by com-bining the classical methods of solving Riemann boundary value problems andsingular integral equations with the Taylor's expansion of regular function in Clif-ford analysis,proving a lemma which is similar to the Painleve theorem in theclassical complex analysis,and the Plemelj formula in Clifford analysis,we obtainthe better results under weaker condition than before.

第三，本文第一次借助于用来解决经典的Riemann边值问题与奇异积分方程的方法来研究Clifford分析中的某些Riemann边值问题与奇异积分方程，获得了在比以前文献中条件更弱的情况下，结论更广的结果，并且，它为更进一步地解决在Clifford分析中一般的Riemann边值问题与奇异积分方程提供了基本的解决思想，为这一新的研究领域奠定了基础。

In Chapter 4, We consider rational maps of degree d＞2 on the Riemann sphere and prove that they satisfy the large deviation theorem.

我们证明的方法是转移算子的傅里叶变换的谱分析和一些概率论中的经典方法。

It introduces partial fractions of meromorphic functions, product developments of entire functions, Hadamard's theorem, Riemann Zeta functions, Poisson-Jensen's formula; elliptic functions, including simply periodic functions and doubly periodic functions; algebraic functions and algebroid functions, Riemann surface, Nevanlinna theory, including characteristic functions, the first and second fundamental theorems, growth orders, etc; complex differential equations and complex functional equations, etc.

具体为：亚纯函数的部分分式、整函数的无穷乘积展开、Hadamard定理、Riemann Zeta函数、Poisson-Jensen公式；椭圆函数，包括单周期函数、双周期函数；代数函数和代数体函数、Riemann曲面简介；Nevanlinna理论简介，包括特征函数、第一和第二基本定理、增长级等；复微分方程和复函数方程，等等。在教学内容上充分体现基础性、新颖性。

A theorem on natural equivalences between a right exact additive functor F which preserves sums and some tensor functor ?

给出了函子范畴中任意右正合保直和可加函子F与张量函子B自然等价的一个定理。

In order to prove the existence of the periodic boucing solutions, firstly we will introduce a new coordinate transformation, transform the system from right half plane to the whole plane. And give the relation of the eigenvalues of Hill's equation and the rotation numbers, using this approach and Pioncar -Birkhoff twist theorem, we proved the existence of the periodic bouncing solutions for asymptotical linear oscillator.

对于周期解的存在性证明，我们引进新的坐标变换把右半平面上的碰撞问题转化到整个平面上，给出旋转数与Hill方程的特征值的关系，并以此来度量渐近线性振子，再应用Pioncaré-Birkhoff扭转定理得到周期碰撞解的存在性。

In 1986, H. Gauchman proved another famous rigidity theorem for compact minimal submanifolds in a sphere: Let M be an n-dimensional compact minimal subman-ifold in S~(1), if σ≤ 1/3 holds for any unit vector u ∈ UM, then either σ≡ 0, i.e..

若对任意单位切向量u∈UM，有σ≤1／3，其中σ=‖h‖~2，则σ≡0，即M是全测地子流形；或者σ≡1／3，并且要完全确定这类极小子流形的几何结构。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。