查询词典 Riemann

As applications of Riemannian surface and algebraic curve theory in integrable system, Abel-Jacobi coordinates are introduced suitably by the Lax matrix, from which straightening out of the flows are given.

作为Riemann面和代数曲线理论在可积系统中的应用，利用Lax矩阵合适地引入Abel-Jacobi坐标，使得对应的流拉直。

Asapplications of Riemannian surface and algebraic curve theory in integrablesystem,Abel-Jacobi coordinates are introduced suitably by the Lax matrix,from which straightening out of the flows are given.

作为Riemann面和代数曲线理论在可积系统中的应用，利用Lax矩阵合适地引入Abel-Jacobi坐标，使得对应的流拉直。

Recently. by complexification of the space and time variable, also using the Picard-Lefschetz theory, argument principle, Riemann manifold and homology theory, Gavrilov [25] proved the same result under the condition X〓 has one center and one saddle or two centers and two saddles.

最近Gavrilov[25]将方程复化后利用Picard-Lefschetz理论，幅角原理及同调论等工具得到X〓有一个中心、一个鞍点和两个中心、两个鞍点的情形下I零点个数的上确界。

Then by using the Riemanns function of the operator and constructing an auxiliary problem, an integrodifferential equation equivalent to former problem is got.

然后利用该算子的Riemann函数，通过构造辅助问题，得到了一个等价积分微分方程。

Then the problem is further equivalent to a kind of Riemann boundary value problem on the real axis by extension of symmetry with respect to the real axis.

利用已有结果得到了该问题的可解性定理。

It also gets a unified condition which has a wider range than regulated function and comes to the conclusion that the function of bounded variation is the integrable function of Riemann.

通过定义多维零测度集将可积函数的特征扩展到多维情形，同样统一了多维情形的充分条件，建立了多维情形的可积性理论。

A rigorous coupled wave theory for the Bragg diffraction of a Gaussian beam in the uniaxial crystal is derived and a group of rigorous coupled wave equations and diffraction efficiency formula are obtained in terms of the proper coordinate transformation and Riemann method .

利用适当的坐标变换和黎曼方法建立了高斯光束在单轴晶体中布拉格衍射的严格的耦合波理论，获得了一组严格的耦合波方程和衍射效率计算公式，讨论了衍射效率随折射率调制量的关系以及波长选择性和角度选择性，同时分析了衍射效率对再现光宽度的要求。

From getting fire by drilling the wood to nuclear power, from Euclidean Space to Riemann Space, from description of the macroscopic and low-speeded movement in Classical Mechanics to the statistical wave functions description of microscopic and high-speeded movement in Quantum Mechanics, the innovation progress of Physics is just as always.

从钻木取火到核力发电，从欧几里德空间到黎曼空间，从经典力学对宏观低速物体的直观认识到量子力学对微观客体的波函数统计描述，物理学一如既往地在不断创新当中。

The problem has wide applications to various disciplines such as computational complexity theory, organic chemistry etc., and is also closely related with the problem of how to construct cospectral Riemannian manifold in Riemannian geometry and the problem of 'Can one hear the shape of a drum?

该问题的研究在计算复杂性理论、有机化学等领域有着重要应用，并与Riemann几何里面如何构造同谱Riemann流形及物理学里面的'听鼓辨其形状'等问题密切相关。

In thesequel,the definition of singular point is given,and then the Laurent's expansionof a LR regular function with isolated singular points is obtained in the corre-sponding Laurent domain,after that,we introduce the definition of residue,andthe residue theorems are obtained.

虽然这仅仅讨论的是在Clifford分析中的较为特殊的Riemann边值问题与奇异积分方程，但它仍然改进了以前文献的结果，从而也为更进一步地解决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。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。