查询词典 Stokes theorem

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。

It including the pitch point electric current equation andthe return route voltage equation two parts, former pointed out that,regarding any pitch point (3 or 3 above legs points of intersection),flows in and flows out the pitch point various electric currents algebra and is zero, this is the constant condition request, latter pointed out, regarding any closed path, each part of loss of voltage algebra and is zero, this is the electrostatic field ring circuit theorem result, two constituted the complete system of equations.

它包括沥青点电流方程强大的回路电压方程由两部分组成，前者指出，对于任何节点（ 3层或3条以上的腿分的交汇点），流入和流出草地点不同电流代数和是为零，这是恒定的条件要求，后者指出，对于任何封闭道路，每部分的损失电压代数和为零，这是静电场的环形电路定理的结果，构成了两个完整的系统方程式。

By analyzing the distribution of the roots of the characteristic equation according to Rouche theorem, the stability condition of this dynamical system is investigated and Hopf bifurcations are demonstrated. The bifurcation graph can be obtained and some simulation examples are shown.

利用儒歇定理及其推论分析了该动力系统特征方程根的分布情况，进而得到该系统解析解稳定和Hopf分支存在的条件，画出了分支图，给出相应的数值例子。

You can buy sweetened beverages, if that suits you.

你若喜欢的话，可以买些含有糖精的混合饮料。

As many of you are probably aware, Nick and Vanessa were recently faced with an embarrasing sex scandal after naked pictures of the two getting jiggy with it in a hot tub surfaced the net.

正如很多你可能知道，尼克和 Vanessa 最近面临一个尴尬的绯闻事件后，赤裸裸的图片两个越来越jiggy与它在浴缸中的一个热点浮现净。