等价命题

Frobenius定理的等价命题

The Equivalent Proposition of Theorem of Frobenius

利用嵌入的方法得到T0空间为完全正则空间的一个等价命题。

An equivalent proposition on T0-space as a complete regular space is obtained by the method of embedding .

对于可分解加权N移位算子，我们给出了一系列等价命题。

We give several equivalent conditions for decomposable weighted N shift operators .

关于Fuzzy子群的几个等价命题

Several Equivalence Propositions on Fuzzy Subgroup

关于P型空间中随机元序列配重和收敛的几个等价命题

Some equivalent propositions about the convergence of weighted sums of random elements in a Banach space of type P

Dirac猜想成立的一个等价命题

A Proposition Equivalent for Dirac Conjecture

半正定Hermitian矩阵的等价命题

Equivalent Propositions of Positive Semidefinite Hermitian Matrix

在此基础上给出了关于决策单元的扩展DEA有效性的几个等价命题，并对决策单元扩展有效的灵敏度进行了讨论。

Based on MP and other models , some equivalent propositions on evaluation the DEA extremely efficient of a DMU relative to other DMUs has been given .

利用超幂这一工具讨论了Banach空间上的一些性质与其可分子空间上性质的相互体现，给出了超自反空间的一个等价命题。

Using the ultrapowers as an implement , the mutual reflection of the properties of Banach spaces and its separable subspaces is discussed . A equivalent proposition of super reflexive space is given .

Steinhaus棋盘问题的简单证明及其等价命题

The simple proof of the Steinhaus chessboard problem and it 's equivalent proposition

本文给出了极小完全Hausdorf空间的一个等价命题，由此得出极小完全Hausdorf空间为f－闭空间，并给出了极小完全Hausdorf空间的映射性质和乘积性质。

This paper gives an equivalent proposition of minimal complete Hausdorff spaces and obtains that minimal complete Hausdorff space is a complete Hausdorff closed space . Some characterizations of mappings and the cartesian products of minimal complete Hausdorff spaces are also discussed .

结果得到了有关弱J空间和半弱J空间的一些等价命题及乘积性质，也得到了J空间的锥空间的性质。

Results Obtained some equivalent propositions of the weak J-space and the semi-weak J-space , and also some properties about the Cartesian products . Moreover , the properties about the cone of the J-space are also been discussed .

引入W拟凸（凹）概念，得到W拟凸的等价命题及W空间上的一些不动点定理，并通过这些不动点定理得到了W空间拟平衡问题解的若干存在性定理。

The definition of W quasi convex is introduced , the equivalent proposition for W quasi convex and some fixed point theorems are obtained . By these fixed point theorems , some existence theorems for quasi equilibrium in W space are also achieved . [ WT5HZ ]

Weierstrass聚点定理、Cauchy收敛准则、区间套定理、确界存在定理、单调有界定理和有限复盖定理是实数理论的六个等价命题。

The six equivalent propositions of real number theory are Weierstrass condensation point theorem , Cauchy criterion for convergence , contract consecutive interval theorem , the existence theorem of supremum and infimum , monotone and boundedness theorem , and finite covering theorem .

关于3N+1猜想的等价命题；

Some equivalence propositions for the 3 N + 1 conjecture .

余切丛上判定辛向量场的等价命题

Equivalent propositions for judging symplectic vector field on the cotangent bundle

随机变量序列几乎处处收敛的几个等价命题

Several Equivalent Propositions on Almost Sure Convergence of Random Variables

压缩映射原理的等价命题及其构造性证明

The Equivalent Theorem of Contraction Operator and its Constructing Proof

目标规划模型最优可达值的等价命题

The Equivalent Propositions for Optimum Accessible Value of Goal Programming

给出了可数紧性的3个等价命题。

Gives some equivalence propositions of countable compact space .

两组等价命题的严格简明证法

The Strict and Concise Proofs of Two Equivalent Propositions

关于正交变换的定义及其几个等价命题

The Definition of Orthogonal Transformation and Its Equivalent Proposition

三角范畴中八面体公理的几个等价命题

Several Equivalent Propositions with Respect to the Octahedral Axiom in a Triangulated Category

凸集的若干等价命题

On the some Equivalence proposition of the Convex Set

连续成功次数子序列上极限的一个等价命题

A Equivalent Proposition for Upper Limit of Subsequences of the Lengths of Runs

二阶线性递归数列的几个等价命题

Some Equivalent Proposition of Second Order Linear Recursion Sequences

极小曲面的几个等价命题

On several equivalent proposition of minimal curve surface

提出了压缩迭代；给出了该迭代下的某些结果：关于3N+1猜想的等价命题；

The concept of compressive iteration for the 3N + 1 conjecture is presented .

关于多项式互素的等价命题

The Equivalence Proposition on the Coprime of Polynome

结果给出了该类半环成为分配格的几个等价命题。

Results Some equivalent statements are obtained concerning a semiring becoming a distributive lattice .