查询词典 metrically convex subset

And then,let E be a locally convex space and 〓 be the space of all sequentially continuous linearfunctional defined on E.

其次，设E是一个局部凸空间，〓是E上序列连续的线性泛函全体。

The generalization in locally convex space, restricted p-centers, of restricted Chebyshev centers of a set in normed linear spaces has been studied for only about a little bit more than ten years.

一。赋范空间中集的限制Chebyshev中心在局部凸空间中的推广—限制p-中心—问题的研究只有十余年的历史。

It proves that if E is a locally convex 〓-space,then 〓 isalso an 〓-space for any topology on 〓 admissible with respect to 〓.

若E是一个局部凸〓空间，那么证明了〓关于对偶对〓的所有可允许极拓扑都是〓空间。

This paper studies a completely generalized nonlinear quasi-variation-like inclusions problem in the setting of locally convex topological vector space s and proves the existence its solutions.

似变分不等式和广义拟似变分包含问题是研究非凸最优化问题、非凸和不可微最优化问题的重要工具。在局部凸的拓扑向量空间中研究了完全广义非线性拟似变分包含问题，并证明了其解的存在性

The mathemationcal formulation is based on a locally convex topological space for arbitrage freeness,approximate arbitrage freeness and no free lunc hes.

本文研究具有摩擦的证券市场中资产定价，即在局部凸拓扑空间中弱与强无套利、弱与强近似无套利及弱与强没有免费午餐。

We investigate strong wellposedness and solvability of higher order ab-stract Cauchy proublems in a sequentially complete locally convex space,estab-lishing a Hille-Yosida-Phillips type characterization theoremand obtaining a solvability result.

研究序列完备局部凸空间中高阶抽象Cauchy问题的强适定性与可解性。关于强适定性建立了一个Hille-yosida-phillips型特征刻划定理，并获得一个可解性结果。

Let X be a real linear space,P a family of separated seminorms on X and TP the locally convex separated topology on X generated by P.

设X是实线性空间，P是X上的一族分离半范数且Tp是X上由P生成的局部凸分离拓扑。

First,we consider the lower semicontinuity property fora functional with linear growth in LDΩthe second, in the SBD space,we discussthe lower semicontinuity of an integral functional that the integrand is a Carathéodoryfunction and that satisfies a symmetric quasi-convex assumption, by the compactnesstheorem of the SBD space,blow-up method and Morrey theorem,prove that integral functional is lower semicontinuous with respect to L~1- convergence;then by using theone-dimentional sections method and the structure theorem of the BD functions, dis-cuss the lower semicontinuity of the integral functional in the whole BD space.

首先我们考虑LD空间满足线性增长的积分泛函的下半连续性；其次在SBD函数空间讨论了被积函数为Carathéodory函数时的积分泛函在满足对称拟凸条件时的下半连续性，主要利用SBD函数空间的紧性定理和blow-up方法以及Morrey定理等给出了积分泛函关于L~1-强收敛的下半连续性；然后利用BD函数的一维截断方法和结构定理，讨论了在BD全空间上的积分泛函的下半连续性。

In chapter 2,we generalize the open mapping theorem concerned with convex maps.

首先，我们在赋范空间中，推广了完备图的凸映射的开映射定理。

Firstly,we prove that the open mapping theorem to situations where spaces are normed and the graphs of convex maps are complete.

其次，我们还推广了在可度量化拓扑线性空间中，完备图的线性映射是开映射的结果。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。