指出了几种局部凸拓扑的完整性与感应拓扑的完整性之间的关系。
The relation between the completeness of several local convex topology and that of induction topology was pointed out in this paper.
通过对局部凸空间中局部收敛与局部连续的讨论，给出了C -局部序列空间的一些新的充分必要条件。
By discussing the local convergence and local continuous in locally convex Spaces, some new sufficient and essential conditions are given on C-locally sequential Spaces.
在局部凸线性拓扑向量空间讨论了一种锥凸集值映射的锥次微分的存在性问题，证明了几个锥次微分的存在定理。
The problem of the existence of a cone subdifferential for the cone convex set valued maps in the locally convex, linear and topological vector space is discussed.
从几何和凸集的角度，系统地给出了平面闭参数曲线全局凸和局部凸定义，并且证明了这两个定义是等价的。
Based on geometry and convex set methods, this paper gives systemically the definitions of global and local convexity for planar closed parametric curve, and proves the two definitions are equivalent.
在局部凸线性拓扑空间引入弱一致凸和局部弱一致凸的概念，并给出该空间上的几个弱凸性质。
The paper introduces the concept of weak consistent raised and the partial weak consistent raised in the partial facet topological space, and produces several weak raised nature in the space.
依据参数曲线凸性的原始几何定义，讨论了参数曲线的局部凸和全局凸性，得到了参数曲线局部凸和全局凸的若干性质。
Based on the original geometrical definition of the convexity for planar parametric curve, the local and global convexity are discussed, and a few properties are obtained.
如同在相容局部凸拓扑的理论中，拟相容局部凸拓扑的不变性质被获得。
As in the theory of compatible locally convex topologies, the invariant properties of quasi - compatible locally convex topologies are obtained.
本文指出了赋范线性空间上的一些局部凸拓扑的完备性与它的单位球上相应的诱导拓扑的完备性之间的关系。
The relation between the completeness of several local convex topology in normed vector space and that of induction topology of its unit ball was pointed out in this paper.
在局部凸线性拓扑空间中引入可凹点的概念，并讨论其性质。
This paper introduces the notion of denting points in locally convex spaces and discusses its properties.
本文用某种同伦方法，借助于一些适当的变换，讨论了有序的局部凸拓扑线性空间中集值凝聚映象方程的正解问题。
Under several suitable transformations, the problem of positive solutions for set-valued condensing mapping equation in an ordered locally convex topological space is studied by some homotopy method.
针对非凸规划，本文引进一简单的惩罚函数将其局部凸化，然后用凸规划的方法求解。
To the nonconvex programming, the article makes it local convexification by introducing a simple penalty function into the objective function, and solves it like solving convex programming.
并利用最小二乘法计算得到三个校正铁的凸轨系数，用于束流闭轨的局部凸轨校正，取得了预期的效果。
Moreover, wa have calculated some sets of local bump orbit coefficients with the matrix elements, with which a local beam orbit correction has been successfully carried out.
本文在局部凸空间中对集值映射最优化问题引入超有效解的概念。
In this paper, we introduce a concept of super efficient solution of the optimization problem for a set-valued mapping.
为了深入研究连续对策上的计策理论，以局部凸拓扑学和实分析等理论为数学工具研究了连续对策的判断块理论。
The theory of locally convex topology, real analysis and other mathematical tools are adopted to further investigate the theory on judgement block of a continuous game.
在局部凸空间上利用严有效性的纯量化特征，研究严有效点的截口性质及稠密性质。
Using scalar characterization of a strictly efficient point in Locally convene Spaces, we study the section property and the density of strictly efficiency.
利用C -半群的概念，引入一新的局部凸向量拓扑，并对其基本性质以及在新的局部凸线性拓扑意义下c -半群的性质进行初步研究。
By using the C-semigroup of bounded linear operator, a new locally convex vector topological is introduced, and some propositions of it are given.
利用有界线性算子半群，引入了一新的局部凸向量拓扑，并对其基本性质进行了讨论。
By using the semigroup of bounded linear operator, a new locally convex vector topological is introduced, and some propositions of it are given.
利用有界线性算子半群，引入了一新的局部凸向量拓扑，并对其基本性质进行了讨论。
By using the semigroup of bounded linear operator, a new locally convex vector topological is introduced, and some propositions of it are given.
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