查询词典 residue theorem

The thesis consists of the followingmain results:the Cauchy's integral formula on certain distinguished boundaryfor LR regular functions with values in a universal Clifford algebra 〓,theCauchy's integral theorem,the mean value theorem,the maximum modulus the-orem.the Taylor's expansion,the Laurent's expansion and the residue theoremetc..

第一章叙述了泛Clifford代数基本理论，其中，我们首先准确而又富有创造性地给出了在泛Clifford代数〓上的一个对合运算表示，由此，我们给出了在泛Clifford代数〓上的一个内积，然后，我们借此给出了在泛Clifford代数〓上的相应的两个等价的范数，并证明了若在〓上赋予其中的一个范数，则〓是一个Banach代数。

And extended codes of quadratic residue codes over Z〓(Definition 3. 4) also are discussed, which have good dual properties (Theorem 3. 9 and Theorem 3. 10). At last, two kinds of Gray map from Z〓 to Z〓 are defined (Definition 3. 5 and Definition 3. 6), and they are compared with each other, and we find the second Gray map is better than first by an example.

最后，以两种方式定义从Z〓到Z〓的Gray映射并相应的有两种码字的Lee重量定义（定义3.5与定义3.6），并以一实例计算比较了这两种Lee重量定义，指出第二种方式定义的Gray映射更好，因为其相应的Lee重量定义使得相应所得到的最小Lee重量更大。

An Extension on Differential Mean Value Theorem of Cauchy ;2. Infinitesimal in Cauchy ′s Cours d′ Analyse;3. This paper studies and analyzes the reasons and the background of Cauchy defined the residue concept,in which we have used the method of historic analysis and literature review.

采用历史分析和文献考证的方法，探讨和分析了柯西定义留数概念的原因及背景指明柯西从一些数学家的相关工作出发，在对C-R方程进行了讨论和分析之后，产生了他关于复积分问题的讨论。

And on this basis, we completed the circuit design of the binary-to-residue converter and the residue-to-binary converter based on the Chinese Remainder Theorem.

以此为依据，完成了余数系统和二进制系统之间的前向转换电路设计，并基于中国剩余定理完成了后向转换电路设计。

The article is on analytics card and the base that spread Chinese residue theorem, put forward a kind of new network information to add secret program, what show this plan with example is reasonable and practical.

本文在分析论证和推广中国剩余定理的基础上，提出一种新的网络信息加密方案，并用实例说明该方案的合理实用。

However, the calculation of the zero order correction of the DNLS/MNLS equation is intricate. We develope a symbolic computation technique to calculate them, based on the residue theorem.

但DNLS／MNLS孤子在微扰下的零级近似已经非常复杂，我们基于留数定理总结出一套有广泛适用范围的符号计算方法。

The multi-degree-freedom equivalent model of INS bracket is also given and analyzed to improve the analysis precision. The dynamic response spectrum of this model is achieved by modal analysis and spectrum theory. The numeric formulas of time-domain response are deduced by residue theorem.

对于惯导减振支架的多自由度系统等效分析模型，则运用模态叠加法和谱分析理论得到响应的功率谱，根据留数定理推导了系统时域加速度动力响应的数值计算公式。

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。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失