查询词典 integrability in the sense of riemann

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。

In this paper, we consider the properties of so_called N_analytic functions , integral formula of Cauchy type and the problem of Riemann boundary value.

研究了N 解析函数的性质、Cauchy型积分公式及相应的Riemann边值问题，然后将其结果应用到一类奇异微分—积分复方程的可解性理论中，建立了其特征方程解的积分表示式。

The boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function uses Cauchy integral formula as the foundation . The singularity of the Cauchy

广义解析函数的Riemann-Hilbert边值问题的边界元方法是以Cauchy公式为基础，Cauchy核具有奇性，这是所面临的困难，可以设法利用Cauchy主值积分来解决，最后给出问题的解。

Based on the complex variable theory of sectioally holomorphic function, Cauchy type integral and Riemann boundary problem, the solution is derived from relationship of the sections.

通过将复变函数的分区全纯函数理论、Cauchy型积分和Riemann边值问题相结合，求得各分区之间的解析关系，获得了问题的温度场。

By combining the theory of sectionally holomorphic function, the analytical extending method, Cauchy model integral, the analysis of the singularity of complex functions and Riemann boundary problem, analytic relations between the complex potentials were obtained.

研究压电材料在均匀热流作用下螺型位错与圆弧裂纹的相互作用，综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解方法，获得各复势函数之间的解析关系，进一步得到了特殊情况下所讨论问题的封闭解，并求解出像力随温度梯度和位错位置变化的表达式。

By combining the theory of sectionally holomorphic function,the analytical extending method,Cauchy model integral,the analysis of the singularity of complex functions and Riemann boundary problem,analytic relations between the complex potentials were obtained.

综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解方法，获得各复势函数之间的解析关系，进一步得到了特殊情况下所讨论问题的封闭解，并求解出像力随温度梯度和位错位置变化的表达式。

By combining the theory of sectionally holomorphic function, the analytical extending method, Cauchy model integral, the analysis of the singularity of complex functions and the method for Riemann boundary problem, analytic relations between the complex potentials are obtained.

综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解力法，导出各复势函数之间的解析关系，进一步得到特殊情况下所讨论问题的封闭解，并解出像力随温度梯度和位错位置变化的表达式。

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。

If we all can pay attention to these dos and don'ts,we will become the most welcomed volunteers.

如果我们都能注意哪些该做，哪些不该做，我们将成为最受欢迎的志愿者。

If it is the spacial distance, missing is treacly , entering into dreams with smile in your face.

如果是空间的距离，思念便是甜蜜的，甜蜜的带着微笑入梦。