文章还讨论了这种精确罚函数的一些性质定理。
This paper still gives some theorem and property about the exact penalty function.
并在此基础上论证了准模糊图拟阵基图的八条性质定理。
Then we discuss eight properties of basis graph of quasi-fuzzy graph matroid.
摘要将《解析几何》教材中抛物面的两个性质定理推广到更一般的情形。
In this paper, two properties of paraboloid in the textbook analytic geometry is generalized.
本文对主经圆定理给出了一个简练的解析证明，并且在此定理的思想基础上，得到了椭圆上法线的两个性质定理。
This paper has given a pithy analytic Proof of "principal diameter circle"Theorem. And on the basis of the thought of the theorem. We obtain two theorem about ellipse normal.
文章对阶的估计作了一些探讨，给出了一些有用的性质定理，并在此基础上简要地讨论了阶的估计在分析中的应用。
In this paper, we probe rank estimation and propose some theorem and property, and discuss the application of the rank estimation in mathematic analysis.
就如何进行大系统空间模块的分解以满足建模的需要，作了理论上的探讨，给出了最优空间分解判定及性质定理证明。
In this paper, how to optimally divide a complicated system for serving the need of system modelling well is studied theoretically. We present the optimal dividing theory and its theorem proving.
如果我们知道它是一个梯度场，就可以由基本定理，得到上面那些性质。
Well, if we know that it's a gradient field, that we've seen that we get these properties out of the fundamental theorem.
所以我们可以在只考虑整数性质时证明欧几里德的定理。
Thus we proved Euclid's theorem by consideration of properties of integers only.
目的为得到模糊信息论的一些重要性质和定理。
AimTo get some important properties and theorems for fuzzy information theory.
本文证明了几个关于有向图基本性质的定理。
Some theorems about fundamental properties of the digraphs are proved.
运用模糊事件及概率测度的基本性质，给出了模糊熵的一些基本定理。
Based on the fundamental quality of fuzzy events, the basic theorem of fuzzy entropy is obtained.
本文利用定积分的性质、微分中值定理、施瓦兹不等式、二重积分等内容，研究了积分不等式的四种证法。
This article explores the four ways for solving integral inequality with the nature of definite integral, mean value theorem of differentials, Schwarz inequality and double integral.
在特征函数性质和连续定理的基础上，给出特征函数在强大数定律中的应用。
This paper bases on the natures of characteristic functions and continuity theorem, introduces the use of characteristic functions in strong law of large Numbers.
最后讨论了向量值正规模糊子群与向量值模糊商群的性质，同时建立了向量值模糊商群的同构定理。
Some properties of VV normal fuzzy subgroup and VV fuzzy quotient group are discussed and the isomorphism theorem of VV fuzzy quotient group is established.
结果关于这个函数的值分布性质，给出了一个有趣的均值定理。
Results the value distribution properties of this function were solved and an interesting mean value theorem was obtained.
提出了变异模糊粗集的概念，并给出了变异模糊粗集的相关性质和定理。
The conception of variation fuzzy rough sets is proposed and their relevant properties and theorems are given.
在证明了定积分不等式等性质的基础上，给出并证明了积分中值定理的中值在开区间内取得的结论。
Based on the integral inequality and other quality proved, the paper discusses the conclusion of the mid-value in theorem of integration mean which is got in open interval.
本文讨论可数模空间上全连续算子的有限维逼近定理及该空间的一些性质。
In this paper the properties and fixed point theorems of completely continuous maps on denumerable norm Spaces are studied.
本文给出了逆函数的定义，介绍了它的性质，并证明了关于逆函数的几个定理。
In the paper, the definition and properties of converse function are proposed. It is proved to a few theorems on converse function.
我们定义了分析图，推导了一系列性质，并由此得到关系模式的关键字集的求解定理。
We define the analytical graph from which we deduce a series of properties and obtain a theorem for evaluating the set of keys in relational schema.
此文章的思想主要来自于拉瓦兹和贝尔热在完美图方面所做出的文章，这些文章详细的说明了完美图的性质和一些相关重要定理。
The motivations of this thesis are Lovasz'work and Berge's work on perfect graphs, which show the properties and concerned theorems of perfect graphs in detail.
本文对模糊数扩张运算的一些基本性质进行了研究，提出了相应的定理及推论。
Several properties on fuzzy extensive quantity extensive operations are studied and several respective theorems and derivations are given in this paper.
利用拓扑度理论中的连续定理以及M -矩阵的性质获得了该系统正周期解存在的充分条件。
By using the continuation theorem of topology degree theory and properties of nonsingular M-matrix, we obtain sufficient conditions for the existence of positive periodic solutions of this system.
本文以传统的中值滤波为背景，给出了一种广义中值滤波(GMF)的定义，并在此基础上，研究了有关数学模型、性质和基本定理。
In this paper, based on the traditional median filters, we propose the definition of generalized median filters (GMF), present the mathematics model of GMF and discuss its related properties.
针对约束矩阵具有与其所对应的零陷个数相同数量的大特征值的性质，应用盖氏圆盘定理比较精确地估计一个零陷情况下约束矩阵特征值的界。
The character of the eigenvalues of the constraint matrix was aimed, and the character is that the matrix has the same number of larger eigenvalues as number of the nulls that the matrix denoted.
它享有优美的代数性质，有助于程序的转换、优化和探求有关程序性质的一般定理。
We can study program transformation, program optimization and investigate general theorems of program properties with help of it.
讨论了一类二阶强次线性时滞微分方程解的振动性质，建立了三个新的振动性定理。推广和改进了已知的一些结果。
The oscillation of a class of second order strongly sublinear delay differential equations is discussed. Three new theorems are established. The results generalize and improve some known ones.
讨论了一类二阶强次线性时滞微分方程解的振动性质，建立了三个新的振动性定理。
The oscillation of a class of second order strongly sublinear delay differential equations is discussed. Three new theorems are established.
在下降流不变集方法找泛函临界点的定理中，用收缩性质替换P。
In the theorem of finding critical point by invariant sets of descending flow, we replace the condition of p.
在下降流不变集方法找泛函临界点的定理中，用收缩性质替换P。
In the theorem of finding critical point by invariant sets of descending flow, we replace the condition of p.
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