查询词典 unique factorization theorem

By applying existence theorems of maximal elements for a family of GB-majorized mappings in a product space of G-convex spaces, some coincidence theorem, Fan-Browder type fixed point theorem and some existence theorems of solutions for a system of minimax inequalities are proved under noncompact setting of G-convex spaces.

通过应用G-凸空间的乘积空间内一族GB-优化映象的极大元的存在定理，在G-凸空间的非紧设置下证明了某些重合点定理，Fan-Browder型不动点定理和极小极大不等式组的解的存在性定理。

Since then,by applying the Leray-Schauder continuation theorem,nonlinear alternative of Leary-Schauder,coincidence degree theory,and Krasnoselskii's fixed point theorem,many researchers have studied more general nonl...

研究了一类二阶非线性常微分方程的三点边值问题多重正解的存在性问题，在非线性项不满足超线性或次线性的条件下，利用不动点指数定理得到了至少存在两个正解的几个充分条件。

Chapter 6 is contributed to studying the convergence properties of pariwise NQD random sequences. We extend the Kolomogrov-type inequality, Baum and Katz complete convergence, the three series theorem, Marcinkiewicz strong law of large number and Jamison theorem.

第六章研究两两NQD列的收敛性质，首先给出两两NQD列的Kolmogorov型不等式，进而讨论它的若干收敛性质，获得了与独立情形一样的Baum和Katz完全收敛定理；几乎达到独立情形著名的Marcinkiewicz强大数定律，三级数定理，推广了著名的Jamison定理。

We discussed the stability of the system balance, used the Poincare-Bendixson's annular region theorem to prove the existence, and used the Zhang Zhifen unicity theorem to prove the uniqueness of limit cycle, at the same time give meaning to the corresponding conclusions on the ecology.

讨论了系统平衡点的稳定性，用Bendixson环域定理证明极限环的存在性，借助张芷芬唯一性定理证明极限环的唯一性，同时对相应结论的生态学意义给予说明。

The Uniqueness Theorem for electric field and its proof is presented in detail in textbooks, but the Uniqueness Theorem for magnetic isn't given enough infor mation for us.

课本中给出了静电场唯一性定理的表述形式及其严格证明，对于磁场部分则是点到即止。

The existence and uniqueness of the limit cycle are proved by applying Poincare-Bendixson theorem and Zhang Zhifen's Uniqueness theorem.

运用Poincare-Bendixson环域定理，证明了极限环的存在性。这用张芷芬惟一性定理，注明了极限环的惟一性。

This paper focuses on the Schur theorem and the proof of it, the definition of a unitary matrix, Schur theorem given several important inference, and its application in the matrix above few examples.

本文重点研究了Schur定理的内容和它的证明，定义了酉矩阵，给出了Schur定理的几个重要推论，以及其应用在矩阵上面的几个实例。

By applying a Fan-Glicksberg type fixed point theorem for upper semicontinuous set-valued mappings with closed acyclic values and a maximum theorem,several existence theorems of weighted Nath-equilibria and Pareto equilibria for the constrained multiobjective games are proved in noncompact locally convex H-spaces.

应用局部凸H－空间内具有闭零调值的上半连续集值映象的Fan－Glicksberg型不动点定理和极大化定理，对无限最优化总理2和约束对策问题在没有线性结构的局部凸H－空间内证明了解的某些新的存在定理，这些定理改进和推广了最近文献中的许多重要结果。

Weil's theorem on character sums is an important theorem in number theory.

1.Weil定理关于特征和的Weil定理是一个重要的数论定理。

A method using planar antipodal grasp theorem and another theorem from it proposed by Ebert-Uphoff to determine the boundary of force closure workspace for wire-driven parallel manipulators with 1R2T class with 2-2 type has been demonstrated.

利用平面对心抓取定理与Ebert-Uphoff提出的相关定理，确定2-2型1R2T机构的力封闭工作空间边界。

We have something to do in the new stage.

在这段崭新的时期中，我们有一些要做的。

The difference between tourism decision-making under uncertainty and risky tourism decision-making is indistinctive.

其中不确定性旅游决策和风险旅游决策的界线比较模糊，两者的区分是相对的。