查询词典 radon nikodym theorem

What is discussed in this paper is on the applications of the integral upper limit function in proving the equality, proving the inequality, calculating the repeated integral , the theorem of integratl mean value , prove the theorem of differention mean value .

给出了积分上限函数在证明等式和不等式、算累次积分、明微分中值定理和积分中值定理中的应用。

In the second chapter, we consider a kind of Kolmogorov system. The sufficient condition for nonexistence of the closed orbit and existence of the unique and stable limit cycle are obtained by using divergence integral, Poincare-Bendixson theorem and Zhang Zhifen\'unique theorem.

第二章讨论了一类Kolmogorov系统，利用发散量积分、环域定理和张芷芬唯一性定理，得到了该系统无闭轨的充分条件和存在唯一极限环的条件。

Its universal approximation has been proved by using differential intermediate value theorem and Weierstrass theorem.

笔者采用微分中值定理和Weierstrass定理证明它的通用逼近性。

Differential intermediate value theorem commonly known as "Lagrange mean value theorem" is a differential study in one of the most important conclusion.

微分中值定理一般称为"Lagrange中值定理"，是微分学中最重要的结论之一。

Through the study of this article requires proficiency in differential intermediate value theorem and Taylor's formula to prove, using theorem to solve a number of conclusions related questions, so can a clear understanding of this kind of problem solving ideas.

通过本文的学习，要求熟练掌握微分中值定理和泰勒公式的证明，运用定理结论来解决一些与之相关的问题，使能够明确了解此类问题的解题思路。

This thesis consists of five chapters. At first, We introduce the study history as well as present situation on KKM theory. Secondly, We discuss the invariability of transfer open valued multimap under the restriction of upper and lower semicontinuity on generalized convex spaces. Then, We obtain new KKM type theorems from the classical KKM theorem by applying upper and lower semicontinuity. We also obtain intersection theorems by applying the KKM type theorems for a multimap from a topological space to another topological space. Further, We obtain Ky-Fan type coincidence theorem by applying known variational results on the KKM type theorems. Finally, We give an application to new theorems.

本文共分五章，首先回顾了KKM理论的研究历史和现状，其次讨论了在一般化凸空间上转移开值映射在上、下半连续映射下的不变性，然后在上、下半连续映射下，以古典的KKM定理为基础得到新的KKM型定理，并利用从一个拓扑空间到另一个拓扑空间的集值映射及KKM型定理得到相交定理，进一步利用已知的KKM型定理的变形结论得到Ky-Fan型重叠定理，最后给出新定理的一个应用。

The conservation theorem and its inverse theorem for the Poincar - Chetaev' s equations were established.

建立了Poincare-Chetaev方程的守恒定理及其逆定理，并举例说明结果的应用。

For the theorem 4 on DEA efficiency (C~2R) in reference ,this paper gives its inverse theorem under a condition in order to be easy to discriminate DEA efficiency (C~2R).

对文[1]中有关DEA有效(C2R)的定理4，本文给出了在某种条件下的逆定理，以便简化DEA有效性(C2R)的判断。

We also present iterated function systems 、local iterated function systems、Barnsley's collage theorem and Markov's theorem.

我们也介绍了迭代函数系统、局部迭代函数系统、Barnsley的拼贴定理和Markov定理。

Lagrange value theorem is an important one of the Mean Value Theorem.

拉格朗日中值定理是重要的微分中值定理之一。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。