查询词典 theorem

Using the continuity method, we will obtain a theorem of existence of solutions to the equation on 4-dimensional compact Riemannian Manifolds.Finally, we will consider a kind of Kazdan-Warner type equation on compact complex manifolds.

作为上述工作的补充，我们讨论了规范固定Yang-Mills方程，并用连续性方法得到了一个在四维紧致黎曼流形上解的存在性定理。

Further, under weakened conditions (without the assumption of continuity of objective function), the convergence theorem of EP and ES with the general mutation operators is also given.

针对一般的变异算子，在不要求目标函数连续的情况下，证明了保持最优个体的进化规划和进化策略，迭代产生的最优个体的函数值收敛到问题的最优值的ε-邻域的概率为1。

In this paper,making use of hyperplane method,we improve the proof of the separation theorem;On the other hand,we use a new method of moving neighborhood to simplify the proof for the continuity of a subconvex function defined on a convex in a normed linear space.

在巴拿赫空间理论中，Hahn-Banach泛函延拓定理作为泛函分析三大基本定理之一，分隔性定理是Hahn-Banach定理的重要应用，本文利用"超平面"的方法，改进了一个分隔性定理的证明；另外，本文利用邻域的"平移"方法，给出了定义在赋范线性空间内的凸集上的次凸泛函连续性的简捷证明。

In Chapter 3, by using the continuity theorem of coincidence degree theory, we obtain a sufficient condition for the existence of positive periodic solutions to population models with impusives.

在第三章，利用重合度理论中的连续性定理研究了在脉冲作用下种群模型的全局周期解存在性。

Under only supposed each indidual utility function possessing some continuity, an existence theorem of selection for minority submitting to the majority is got,and prove...

通过在不同空间上构造委员会的偏好结构，指出了这种偏好的锥诱导性和这种偏好的有效选择与多目标决策问题的M－解之间的等价性。

Under some conditions, by using Mawhin continuity theorem and degree theory, the existence of the periodic solution of the periodic neural network is proved.

利用Mawhin连续定理以及拓扑度理论，证明了在一定条件下该周期神经网络系统周期解的存在性。

The limitations of those principlesare stated and modified potential energy theorem with weak continuity is given which canbe applied to non-conforming finite elements.

给出了它们的限制范围，并给出在弱连续条件下的势能原理，而它是协调元和非协调元的共同基础。

The paper studied how to structure a kind of counterexample function in the analysis and widespread application emphatically, further pointed out the misunderstandings easily appeared in the concept and theorem of continuity, derivable, integrable, and other analytic properties of the function and gave the corresponding counter-example finally.

研究了一类函数在分析学相关反例构造中的应用，进一步指出有关函数的连续、可导、可积等分析性质的概念与定理中容易出现的误区，并给出相应的反例，希望能引起高校师生对该类函数的重视，进一步提高教学效果。

This article uses the implicit function theorem and the properties of analytic functions,with less limitations for the uniqueness,continuity,continuous differentiability of the implicit functions,and gets the sufficient and necessary conditions of the existence of implicit functions by simplifying them.

从常用隐函数存在性定理出发，放宽对隐函数唯一、连续、连续可微等性质的限制，利用解析函数的性质将其展拓，得到广义隐函数存在的充分必要条件和广义隐函数的分布特征。

According to the Scalar theorem, if the marginal distribution is continuous, there exists only one joint distribution.

根据Scalar 定理：当边际分布是连续的则它们存在唯一的联合分布函数（Copula 连接函数）。

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。