We shall be dealing with vector spaces over either the reals or the complex numbers.
我们应处理向量空间超过要么雷亚尔或复杂的数字。
In this paper, we study resonance theorems for nonlinear maps in ordered topological vector Spaces.
本文研究有序拓扑向量空间中非线性映照的共呜定理。
The physically important concept of vectors, generalized to vector Spaces, is studied in linear algebra.
身体重要思想的载体，推广到向量空间，研究了线性代数。
An important concept here is that of vectors, generalized to vector Spaces, and studied in linear algebra.
这是抽象代数领域。这里一个重要的概念是，向量，推广到向量空间，以及线性代数研究。
Consult Resources for information and code for all you ever wanted to know about the theory and practice of vector Spaces.
要了解向量空间的理论和实践所需的所有信息和代码，请参阅参考资料。
The code and descriptions in this article are a highly simplified view of vector Spaces and how to search them effectively.
本文中的代码和描述高度简化地演示了向量空间及高效搜索向量空间的方法。
The subjects to be covered include groups, vector Spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.
涵盖的主题包括群、向量空间、线性转换、对称群、双线性结构、线性群等。
Two-and three-dimensional Euclidean Spaces are metric Spaces as are inner product Spaces vector Spaces and certain topological Spaces.
二维和三维的欧几里德空间是度量空间。另外，内乘空间、向量空间以及某些拓扑空间等也都是度量空间。
Two-and threed imensional euclidean spaces are metric spaces as are inner product spaces vector spaces and certain topological spaces.
二维和三维的欧几里德空间是度量空间。另外，内乘空间、向量空间以及某些拓扑空间等也都是度量空间。
Some existence theorems of solutions for the quasi equilibrium problems are proved under noncompact setting of topological vector spaces.
在拓扑矢量空间的非紧设置下证明了拟平衡问题解的某些存在定理。
Two - and three-dimensional Euclidean Spaces are metric Spaces, as are inner product Spaces, vector Spaces, and certain topological Spaces.
二维和三维的欧几里德空间是度量空间。另外，内乘空间、向量空间以及某些拓扑空间等也都是度量空间。
In this paper the author introduces the definition of the best approximation in topological vector Spaces by use of continuous linear functionals.
本文利用拓扑矢量空间中的连续线性泛函导入最佳逼近定义，给出了最佳逼近元的特征定理、存在性定理和唯一性定理。
A section theorem, a minimax inequality and a generalized fixed point theorem where the underlying space is a product space of two topological vector Spaces, are given.
给出了两个拓扑向量空间的乘积空间上截口定理，极小极大不等式及一个推广的不动点定理。
As applications, several best approximation theorems and coincidence theorems involving discontinuous mappings and two different topological vector Spaces are obtained.
作为应用，作者得到了几个涉及间断映象和两个不同拓扑矢量空间的最佳逼近定理和重合点定理。
The paper investigates sensitivity analysis of multiobjective optimization in locally compact topological vector spaces instead of metric spaces and obtains much more general results.
利用局部紧的条件，将多目标优划问题的灵敏度分析由度量空间推广到拓扑线性空间，得到了更一般的结果。
The support vector machine is a novel type of learning technique, based on statistical learning theory, which USES Mercer kernels for efficiently performing computations in high dimensional Spaces.
支撑矢量机是根据统计学习理论提出的一种新的学习方法，即使用核函数在高维空间里进行有效的计算。
This paper discusses submanifolds with parallel mean curvature vector in local symmetric Spaces and obtains integral invariants about the square of modulus-length.
讨论局部对称空间中具有平行平均曲率向量的子流形，得到其关于第二基本形式模长平方的积分不等式的相关定理。
Some new systems of generalized vector quasi-equilibrium problems involving condensing mappings were introduced and studied in locally FC-uniform Spaces.
在局部FC -一致空间内，引入和研究了某些新的涉及凝聚集值映象的广义矢量拟平衡问题组。
Using an O-KKM type theorem, some existence theorems of solutions for abstract generalized vector equilibrium problems in the framework of topological ordered spaces is proved.
在拓扑序空间的框架下，利用一个序KKM型定理证明了一些广义向量值均衡问题解的存在性定理。
Some parametric type KKM theorems are proved in interval spaces, and soine new vector valued minimax theorems are obtained.
证明了区间空间上几个参数型KKM定理并得到了几个新型的向量值极大极小定理。
Some parametric type KKM theorems are proved in interval spaces, and soine new vector valued minimax theorems are obtained.
证明了区间空间上几个参数型KKM定理并得到了几个新型的向量值极大极小定理。
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