得到了任意随机变量序列的收敛性定理。
A convergence theorem for the sequence of arbitrary random variables is obtained.
本文介绍了一个循环差集的存在性定理。
A new existence theorem on cyclic difference sets is introduced in this note.
常微分方程中经典的存在性定理不能使用。
Often the existence axioms of classic in the differential calculus square distance can't use.
作者证明了右完全半群的结构分解唯一性定理。
The authors also proved the uniqueness theorem on structure decomposition of right complete semigroups.
在较弱的条件下，获得了算法的全局收敛性定理。
Under very mild conditions, the algorithm possesses global-convergency.
并进一步证明了严格单调算子的解的唯一性定理。
We prove the uniqueness theorems of solutions for the strictly monotone operators.
作为推论，给出了格蕴涵代数的某些结构性定理。
As consequences it is given some of structure theorems of lattice implication algebras.
用致密性定理统一证明其它实数连续性基本定理。
Proves the other real number continuity fundamental theorems uniformly by the compact theorem.
证明了非均匀各向同性线性介质中的唯一性定理。
The uniqueness theorem in the linear isotropic nonuniform medium is proved.
本文指出其错误，并给出一个新的收敛性定理及其证明。
This paper points out their wrong and give a new theorem for the convergence and its proof.
给出了几个有界性定理，证明了鞅空间的简单原子分解。
Some boundedness theorems are given, and some simple atomic decompositions are also proved.
并利用主曲率计算公式证明了W-超曲面的一个存在性定理。
Using the principal curvature formula, we prove an existence theorem of Weingarten hypersurface.
本文的目的是：为基本的一阶时态逻辑建立一个完备性定理。
The aim of this article is to establish the completeness theorem of elementary first-order temporal logic.
本文主要讨论一类广义向量拟均衡问题，得到一些存在性定理。
In this paper we discuss a kind of generalized vector quasi - equilibrium problems and obtain some existence theorems.
本文提出两条等价性定理，用来判别不同排列的相位循环是否等价。
Two equivalent theorems are presented which judge whether phase cycles of different arrangements are equivalent.
特别是对L模糊理想数的正规l模糊分解给出了第二个唯一性定理。
In particular, the second uniqueness theorem for normal L-fuzzy decompositions of the L-fuzzy ideals is given.
运用拓扑度方法获得了一些新的满值性定理与某些新的不动点定理。
By means of the generalized degree method new surjectivity theorems and fixed point theorems are obtained.
证明了一个状态为跳跃扩散过程的一般最优控制问题的验证性定理。
A verification theorem for general stochastic optimal control with the state following a jump_diffusion process is showed.
然后，在实线性空间中建立了一个广义次似凸集值映射的择一性定理。
Then, a theorem of the alternative for generalized subconvexlike set valued maps in real linear spaces is established.
得到了分[数]指数空间一算子的强连续性和最优控制的存在性定理。
We give strong continuity of an operator connected with fractional power space and obtain existence of optimal controls.
借助于四元数理论证明了任意顺序下刚体有限转动合成的可交换性定理。
With the help of the theory of quaternions the theorems of commutativity of composition for the finite rotation of rigid body are proved in the any order.
哥德尔不完备性定理抽走了数学家的逻辑美信仰，数学界出现了信仰危机。
Godel theorem made mathematicians lose their belief of logic beauty, the crisis of belief appeared in mathematical field.
哥德尔提出不完全性定理之后，众多解决悖论的方案开始深入语言的领域。
After Gdel's the Incompleteness Theorem, more and more paradox resolutions began to penetrate deeply into the realm of language.
本文给出了关于LC梯形二端口网络归一化反射系数的一致性定理及其系定理。
The consistency theorem on normalized reflection coefficients and its corollary of LC-Ladder two-port networks are presented.
由于阿罗不可能性定理的提出，西方社会福利函数理论的研究进入了困惑时期；
With the rise of Arrow's impossibility theorem research in social welfare function in the West enters a stage of perplexity.
应用闭区间连续函数性质和实数连续性定理，给出证明广义中值定理的一个新思路。
Closed interval continuous function and continuity theorem of real number apply to a novel demonstration of general theorem of the mean.
哥德尔不完全性定理越来越受到人们的垂青和重视，但有些却是错解，需要予以澄清。
G? Del's incompleteness theorem is getting more and more attention, but some solutions are wrong, need to be cleared off.
利用压缩映照定理，研究了一个二阶泛函差分方程边值问题，得到存在和唯一性定理。
By using the contraction mapping principle, the boundary value problems for a second order functional difference equation are investigated.
利用压缩映照定理，研究了一个二阶泛函差分方程边值问题，得到存在和唯一性定理。
By using the contraction mapping principle, the boundary value problems for a second order functional difference equation are investigated.
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