查询词典 Riemann

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。

They include the fundamental concepts of jet bundle geometry needed in describing time-dependent mechanical systems, decomposition of jet bundles into a direct sum according to the constraints, horizontal distributions on constraint mainifolds, the global formulation of D'Alembert-Lagrange's equations and Chaplygin's equations, and nonholonomic mechanics on a Riemann-Cartan manifold. Meanwhile, the geometric significance of Chetaev's conditions and $\rd$-$\delta$ commutation relation are discussed in depth.

本文主要综述非完整约束系统几何动力学的外附型和内禀型Lagrange理论，包括非定常力学系统所需要的射丛几何学的基本概念、射丛按约束的直和分解、约束流形上的水平分布、 D'Alembert-Lagrange方程与Chaplygin方程的整体描述、以及Riemann-Cartan流形上的非完整力学，文中对Chetaev条件和d-δ交换关系的几何意义作了深入讨论。

In this paper, complex valued harmonic conjugate function is defined, Cauchy Riemann equations of complex valued harmonic functions are considered.

定义了复调和函数的共轭复调和函数，给出了复调和函数的Cauchy—Rie－mann方程，同时讨论了它们与解析函数之间的关

As the example, robot mechanism is considered, including the topology graph representation. compotation of the mathematical model. This method based on Riemann geometry with simpler formulation is more suitable for computer-aided modeling and dynamic analysis.

讨论了机器人系统的拓扑图表示和动力学模型计算等，与已有的机器人动力学分析办法相比，基于黎曼几何和拓扑图表示方法的动力学分析更加简便，更加适合机器人动力学机械化建模。

The paper states the distinctions between Riemann integral and Lebesgue integral from the aspects of the definition of integral,the continuity of integrable function,the additivity of integral,integral limitation theorems and Newton-Leibnitz formula.

从积分的定义，可积函数的连续性，积分的可加性，积分极限定理，牛顿-莱布尼兹公式五个方面阐述了黎曼积分与勒贝格积分的区别。

And because of the limitations of Riemann Integration,it can only be used for continuous function.

而由于黎曼积分具有局限性，黎曼积分只能用于连续函数类的积分。

"Please accept this talisman as a token of our thanks."

请收下这个护身符以表达我们的感谢。

If I have that magic, I will be more acceptable in the society.

如果我拥有那种魔法，我将更加被这个社会所容纳。