查询词典 intersection theorems

In this paper, with the framework of non-equilibrium thermodynamic separation theory, a mathematical model of nonlinear chromatography is established according to the actual chromatography processes based on the three basic theorems, Lagrangian-Eulerian description, continuity axiom and local equilibrium assumption.

本文在梁恒等建立的非平衡热力学分离理论的框架下，以Lagrangian-Eulerian描述、连续性公理和局域平衡假设三大基本法则为基础，建立了一种制备色谱理论模型。

In this paper, the relevant definitions and theorems of function series continuity and function of the carried out a detailed convergence analysis, so that readers of their intrinsic relationship between the more detailed understanding.

本文通过相关定义与定理对函数的连续性及函数项级数的收敛性进行了详细的分析，使读者对它们之间存在的内在关系有更详细的认识。关键词：函数列；函数项级数；连续性；收敛性；一致收敛性

In the proof,sufficient conditions are proved mainly by properties of K function and continuity of Lyapunov function:in necessary proof,we separately structure Lyapunov functions which satisfy the conditions of the theorems, such that the results establish.

在定理的证明中充分性主要利用K类函数严格单调递增和Lyapunov函数的连续性；必要性的证明中，分别构造Lyapunov函数，满足定理的条件，使得定理的结论成立。

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。

For a better understanding of the proofs several theorems of convex analysis are recalled in the first part.

为了更好地理解证明，在第一部分回顾了凸分析的一些定理。

Certain topics which might properly not be regarded as part of "convex analysis",such as fixed-point theorems,have been omitted,not because they lack charm or applications,but because they would have required technical developments somewhat outside the mainstream of the rest of the book.

某些主题可能没有被视为是"凸分析"的组成部分，例如省略了定点定理，并不是因为它们缺乏吸引力或应用，而是由于它们所需要的技术发展有点超出这本书的主流。

We proposed and proved three theorems through which the theoretical formula of cosine transform spectrum of gravity anomalies of the point mass and the vertical rectangular-cylinder was deduced in order to obtain the general equation of gravity anomalies.

为获得重力异常余弦变换谱的通式，提出并证明了3个定理；利用它们推导了点质量和直立矩形柱体的重力异常余弦变换谱理论公式，同时给出了重力异常余弦变换谱通式。

We proposed and proved three theorems through which the theoretical formula of cosine transform spectrum of gravity anomalies of the point mass and the vertical rectangularcylinder was deduced in order to obtain the general equation of gravity anomalies.

为获得重力异常余弦变换谱的通式，提出并证明了3个定理；利用它们推导了点质量和直立矩形柱体的重力异常余弦变换谱理论公式，同时给出了重力异常余弦变换谱通式。

A number of properties of countable topological space were given systematically, such as its countability, separability, compactness and connectedness, including their proofs on the basis of the nature of topological space, real number space and corresponding theorems.

摘要在可数补拓扑空间的拓扑性质的研究基础上，系统的给出了可数补拓扑空间的可数性，分离性，紧致性，连通性等性质，并给予证明。

In the thesis, the author firstly clears up some basic theories of wavelet analysis, revises some formulae and proves and deduces some theorems and formulae in detail and gives a counter example and paradox.

本文首先对小波分析的理论部分进行整理，对部分公式进行修正，同时给出了部分定理和公式详细的推导和证明，并且给出无穷区间积分的一个反例和悖论。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。