infimum

Researches on infimum of Hilbert space quantum effect

关于Hilbert空间量子效应下确界的研究

Moreover , a method to estimate the infimum of Lipschitz constants by means of topological entropy is given .

另外，本文还给出了一个由拓扑熵来估计Lipschitz常数下确界的方法。

Comparison theorem for a class of nonlinear difference inequalities containing infimum functions

一类含下界函数的非线性差分不等式的比较定理

The greatest lower bound of A is also called the infimum of A.

A的最大下界边称为A的下确界。

The conclusion is pointed that the dispersion absolute and infimum decrease when the variables increase .

首先指出了在变量增加条件下，残差绝对值和下确界减小的结论。

A Simple Proof of the Principle of Supremum and Infimum

确界原理的一个简单证明

The research on quantum effects on Hilbert space contains factorization problem and the infimum problem of Hilbert space effects .

在效应代数方面，研究了Hilbert空间中量子效应的分解和量子效应的下确界。

Partial ordering , metric description , supremum and infimum of the space of fuzzy numbers

n维模糊数的序、距离、确界及其逼近问题

At the same time we also describe a clear relation between infimum convolution inequalities and transportation inequalities with p power cost .

同时我们也建立极小卷积不等式与p阶费用传输不等式之间的关系。

A computational procedure and example are given , which shows that the infimum of the index can be arbitrarily approached .

给出了任意逼近指标函数下确界的计算步骤和计算实例。

The Supremum and Infimum of π( N ) and Its Approximative Value

π（N）的上下确界及其近似值

On the teaching of supremum and infimum

关于确界及确界原理的教学

According to the definite condition , The paper uses the theorem of supremum and infimum to study characteristic of mapping function and get its important law of the mapping .

运用上确界与下确界存在定理，在一定条件下，研究了连续函数的映射特点，得到一个连续函数所独有的映射规律。

The limit on the upper ( or northernmost ) side of something . The greatest lower bound of A is also called the infimum of A.

某事物的上边或最北边的界限。A的最大下界边称为A的下确界。

In addition , the fractal characteristics of pattern of P.taiwanensis population possessed a certain scale and the scale of inflexion of point was the infimum .

此外，黄山松种群格局的分形特征存在一定的尺度范围，其拐点尺度是分形范围的下限尺度。

By means of X-matrix to be cut out and infimum , the decision-making that made by the order of superior and inferior of ecology factors similar degree .

，分别用λ-截矩阵和下确界两种方法，获得了论域各对象关于生态因子相似度的优劣排序决策。

In this note , using the spectral theory of linear operators , a spectral representation of infimum of two self-adjoint operators with respect to the logic order is established .

本文利用线性算子的谱理论给出了逻辑序下两个自伴算子下确界的谱表示。

The detailed contents are listed below : Part one : Firstly , we recall respectively the definitions of weak supremum and infimum of a set which is introduced by Tanino .

具体内容共分两部分：第一部分：我们首先重述了Tanino引入的弱上下确界定义以及相关的一些性质。

Finally , the general model of optimization problems in the semi-uniform spaces is obtained , and the infimum of a lower semi-continuous mapping from a compact set to a semi-uniform space is reached .

最后在半一致空间上给出最优化问题的一般模型，并将下半连续泛函在紧集上可达到下确界定理推广到半一致空间上。

First , Giving four equivalent difinitions of supremum , then analyse examples , the writer bring to light the meaning of supremum and the general principle of applying supremum ( infimum ) principle .

从给出确界的四个等价定义入手，通过例题分析，揭示了确界的内涵及应用确界原理的一般原则。

After the object clusters are gained by the SS / OSF clustering method , and according to the supremum and infimum of object clustering set , the new object can be distributed to all kinds of different clusters .

采用本方法得到高维稀疏数据对象的聚类结果后，可以根据聚类结果中各个对象集合的上确界和下确界为新对象进行对象组分类。

The main idea : As for decision-making whose choice sets and objective sets are finite , if two arbitrary choices have supremum and infimum , then the top element ( oar the bottom element ) is the optimum choice .

总的思路：对方案集和目标集均为有限集的决策而言，如果任意两个方案均有上、下确界，那么顶元素（或底元素）即为最优方案。

Chapter 4 is the main body of the paper , we derived the explicit expression of the joint distribution of the supremum , the infimum and the number of zero in the Markov - modulated risk model and some connected results .

第四章作为本文的主体部分，给出了Markov-modulated风险模型中盈余过程在末离零点前极大值、极小值及零点数的联合分布以及一些相关结果。

S ~ ( n + p )( c ) be an isotropic immersion with constant mean curvature H. Let K and R be the infimum of sectional curvature and the scalar curvature of M ~ n , respectively .

S~（n+p）（C）是具有常中曲率H的迷向浸入，设K和R分别是M~n的截面曲率的下确界和数量曲率。

In this paper , we discuss the problems of supremum and infimum of order bounded sets of fuzzy n-cell numbers , that is useful in the definition of some kind of integral about fuzzy n-cell number value ( mappings . )

本文中，我们讨论了在定义模糊n-方体数值映射的某种类型的积分时要用到的序有界模糊n-方体数集的上确界与下确界的问题。

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 .

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。

To the activation function that is non-monotonic sequential function , when product of the maximum characteristic value of the network connecting weight matrix and the infimum of the derivative to the activation function of the nerve cell more than-1 , the network convergences concurrently .

对于激活函数为非单调的连续函数而网络连接权值对称，则当网络连接权值矩阵的最大特征值和神经元激活函数的导数下确界之积大于？

The main idea is that when there are similar concepts in a concept lattice , a new concept is formed by clustering the set of concepts which includes the supremum , the infimum of the similar concepts and all the other concepts between the supremum and the infimum .

其主要思想是：当格中有概念相似时，把相似概念共同的上确界和下确界，以及上下确界之间的所有概念聚为一个新概念。