查询词典 integrability in the sense of riemann

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。

In Riemannian manifolds, one studies Riemannian metric, covariant derivative, Riemannian connection, basic properties of the Riemann curvature tensor, curvature forms etc.

黎曼流形部分主要涉及黎曼度量，黎曼流形的定义，切向量场的协变微分，黎曼联络，黎曼几何的基本定理，曲率张量，曲率形式等概念和理论。

Vector analysis, Dyads, index notation, covariant and contravariant derivatives, Christoffel symbols, Riemann tensor, hydro-dynamical field equation.

张量及场方程式：三维向量，张量符号，张量微分，克里斯多夫符号，黎曼张量，流体动力场方程式。

Riemann integral can not be used in every limited function to get its definite integral.

因此，并不是每一个牛顿不定积分都可进行黎曼积分，并不是每个黎曼积分都存在牛顿不定积分，黎曼积分也并不能对每一个有界函数求定积分。

This article discusses the analyzing nature of Dirichlet function and Riemann function .

本文讨论了狄利克雷函数、黎曼函数的分析性质。

In the present article, the nature analysed for Dirichlet function and Riemann function is discussed, the role of these functions in the mathematical analysis is demonstrated, and some applications of these functions are given.

本文讨论了狄利克雷函数、黎曼函数的分析性质。并展示了这些函数在数学分析中所起的作用。并且给出了这些函数的一些应用。

This is a knife you can trust.

这是一种你可以信赖的刀。

I think you would find it satisfactory .

我想，你会发现它令人满意。