下确界

关于Hilbert空间量子效应下确界的研究

Researches on infimum of Hilbert space quantum effect

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。

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

π（N）的上下确界及其近似值

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

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。

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

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。

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 .

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。

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 .

可采纳搜索算法最坏复杂度的下确界

The lower bound on the worst-case complexity of admissible search algorithms

A的最大下界边称为A的下确界。

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

基于下确界函数的稳定性定号导函数理论与设计

Theory and de sign of definite sign derivative by lower boundary function for stability test

利用本质下确界的概念以及勒贝格积分的特性，将积分总极值方法推广到了有界可测函数上，提出了针对有界可测函数的理论算法，并给出了其最优性条件。

An integral-level set conceptual algorithm is proposed for bounded measurable functions , and an optimality condition is obtained .

给出了任意逼近指标函数下确界的计算步骤和计算实例。

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

本文就控制具有下确界约束的人口发展过程能控性进行了探讨。

In this paper we study the controllability of the population evolution process with lower bound and establish the correspondent population state space .

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。

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

既考虑了被控对象的模型具有不确定性环节，又考虑了网络双通道中含有高斯白噪声的情况。使用双自由度的反馈控制器结构，得到了最优跟踪性能指标的下确界形式。

The model uncertainty and the network channel noise are both considered , two-degree freedom controller structure is adopted , and the best tracking performance is obtained .

，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。

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 .

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。

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 .

接着介绍了根据观察接收符号序列的序列检测技术，并导出了相应差错概率的上、下确界。

The technique of sequential detection based on the observation of received symbolic sequences is next considered , and the corresponding upper and lower bounds of the error probability are obtained .

下确界限制用于保证任务满足至少满足弱硬实时限制，是任务满足限制的下确界。

The greatest lower bound of constraint was the bound of tasks for satisfying the constraint and can be used to guarantee the " meet row " weakly hard real-time constraint .

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。

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 .

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。

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 .

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。

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 . )

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？

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 .

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。

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 .

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。

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

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。

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 .

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。

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 .