查询词典 theorem of residues

Third, the use of Lagrange's theorem proving the points of the study on some conclusions, that the Lagrange theorem in the integral study also has a wide range of applications.

再次，利用拉格朗日定理证明了积分学上的几个结论，说明拉格朗日定理在积分学中也有广泛的应用。

Although it is easy to prove the result of the integral mean value theorem in advanced mathematics, the application of the theorem is thus limited.

摘要高等数学中的积分中值定理，其结论易于证明，但限制了定理的应用。

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 Zhifenunique 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。

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。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48