不变性定理

词组短语

invariance theorem

与不变性定理相关的网络例句 [注：此内容来源于网络，仅供参考]

Invariant theorem of the operator series multiplier convergent. Using operator series multiplier convergent,AK-space of concept ,we obtained the theorem of operator series multiplier convergent invariant and the old theorem of general series multiplier convergent invariant is looked as special case.

第三章 算子级数乘数收敛的不变性：利用算子级数乘数收敛、AK—空间的定义，得到了算子级数乘数收敛的不变性定理，从而将以往的普通级数乘数收敛的不变性定理作为特殊情况。

At first, it presents a survey of the studyhistory as well as present situation in the λ-multiplier convergent series,invariant, infinite matrix algebras, Schur-matrices and p-uniform Toeplitzmatrices and the Eberlein-Smulian theorem, etc.

本文共5章。首先回顾了〓数乘收敛级数、不变性、无穷矩阵代数、Schur—矩阵与p-一致Toeplitz矩阵以及Eberlein-Smulian定理等的研究历史和现状。

It investigates mainly the dualinvariant of λ- multiplier convergent series, the full invariant ofλ-multiplier convergent series, the λ- multiplier convergent series in spaceswith a basis, the compact sets in the infinite matrix topological algebras, thecharacteristics of have the same compact sets in different topologies,the weak sequentially completeness of , the characteristics ofSchur-matrices, the characteristics of p- uniform Toeplitz matrices and theEberlein-Smulian theorem in the locally convex spaces, etc.

主要研究了〓数乘收敛级数的对偶不变性，〓数乘收敛级数的全程不变性，有基空间中的〓数乘收敛级数，无穷矩阵拓扑代数〓中的紧集，〓在不同拓扑下具有相同紧集的刻划，〓的弱序列完备性，Schur—矩阵的刻划，p-一致Toeplitz矩阵的刻划以及局部凸空间上的Eberlein—Smulian定理等。

Accordingly,they can result in the celebrated Jordan theorem and the third decomposition theorem of space directly and, moreover,they can give a new deep insight into the exquisite and subtle structure of the Jordan ...

因而，它们能够直接导致著名的Jordan定理及空间的第三分解定理，且能给出对Jordan形精致微妙结构的新的深刻洞察。后者表明，复线性变换的Jordan标准形是一种在双重任意选择下具有不变性的结构。

Supposing the nonlinear term bounded, by using homotopy invariance theorem, we proved the existence of solutions of boundary value problems for a class of nonlinear ordinary differential equations.

在假设一类常微分方程边值问题中的非线性项有界的条件下，运用同伦映射不变性定理，得出了解的存在性结论。

The condition for the existence of positive elliptic periodic solution was found using Floquet theory; and the theorem of the existence of positive elliptic periodic solution was proved by the method of upper and lower solutions and homotopy invariance theory of topology degree; then an example was given.

利用Floquet理论得到了该方程的正椭圆周期解存在的条件；然后利用上下解方法和拓扑度的同伦不变性理论，证明了该模型正椭圆周期解的存在性定理，并进行了实例验证。

This thesis consists of five chapters. At first, We introduce the study history as well as present situation on KKM theory. Secondly, We discuss the invariability of transfer open valued multimap under the restriction of upper and lower semicontinuity on generalized convex spaces. Then, We obtain new KKM type theorems from the classical KKM theorem by applying upper and lower semicontinuity. We also obtain intersection theorems by applying the KKM type theorems for a multimap from a topological space to another topological space. Further, We obtain Ky-Fan type coincidence theorem by applying known variational results on the KKM type theorems. Finally, We give an application to new theorems.

本文共分五章，首先回顾了KKM理论的研究历史和现状，其次讨论了在一般化凸空间上转移开值映射在上、下半连续映射下的不变性，然后在上、下半连续映射下，以古典的KKM定理为基础得到新的KKM型定理，并利用从一个拓扑空间到另一个拓扑空间的集值映射及KKM型定理得到相交定理，进一步利用已知的KKM型定理的变形结论得到Ky-Fan型重叠定理，最后给出新定理的一个应用。

The proposed method applies the ellipsoid invariant set to the estimated state and state estimation error. The conditions of invariance and feasibility of estimated state, as well as the stability of the closedloop system are given.

该方法采用双模控制策略，将不变椭圆集概念同时应用于观测器的状态方程和误差方程，给出估计状态不变性和控制输入可行性条件并给出了闭环系统的稳定性定理。

It investigates mainly infinite matrix conver-gence、infinite matrix transformations、the automatic continuity and boundedness of infinitematrix operators、infinite matrix topological algebras、invariant theory、infinite matrix meth-ods、compact operators series and Eberlein-Smulian theorem,etc.

主要研究了无穷矩阵收敛、无穷矩阵变换、无穷矩阵算子的自连续性和自有界性、无穷矩阵拓扑代数、不变性理论、无穷矩阵方法、紧算子级数与Eberlein-Smulian定理等。

Division this the problem of theorematic existence, be in not only " the effectiveness that freewill negotiation solves " on the problem, existing pattern of play chess of rich of a kind of static state, double head and blame cooperate with the confine; that rich weichis and, its " fixity " the misapplication that propositional place may bring about, and the serious and undesirable consequence that be reformed in the society and produces in market move process, need us to try to be on guard more.

科斯定理存在的问题，不仅在&自愿谈判解决的有效性&问题上，存在着一种静态、双头博弈格局和非协同博弈的局限；而且，其&不变性&命题所可能导致的误用，以及在社会改革和市场转移过程中所产生的严重不良后果，更是需要我们加以防范的。

与不变性定理相关的网络解释 [注：此内容来源于网络，仅供参考]

invariance theorem：不变性定理

直观的 intuitive | 不变性定理 invariance theorem | 不变式 invariant

homotopy invariance theorem：同伦不变性定理

homotopy groups 同伦群 | homotopy invariance theorem 同伦不变性定理 | homotopy invariant 同伦不变量

homotopy groups：同伦群

homotopy group ==> 同伦群 | homotopy groups ==> 同伦群 | homotopy invariance theorem ==> 同伦不变性定理