This paper proofs the convex set separation theorem at weak * topology σ(L ∞,L 1) of L ∞.
资产定价的第一基本定理是数理金融学中最核心的定理之一 ,本文证明了在 L∞的弱 *拓扑 σ(L∞ ,L1)中的凸集分离定理 ,并在此定理的基础上给出了没有无风险免费午餐的拓扑描述 ,证明了市场公平性与没有无风险免费午餐条件的等价性 ,从而重新证明了资产定价的第一基本定理 。
A learning algorithm based on a hard limiter for feedforward neural networks (NN) is presented,and is applied in solving classification problems on separable convex sets and disjoint sets.
提出了基于硬限幅功能函数的前向神经网络的分类学习算法,并将其应用于可分凸集或不交集合的分类。
Firstly,the indefinite quadratic programming was preconditioned by generalized Cholesky factorization,then concave-convex separation was carried out and the branch and bound algorithm was used to solve the last problem.
首先利用广义Cholesky分解对该类不定二次规划问题进行预处理,然后进行凹凸分离并用常见的分枝定界法进行求解。
Under the assumption of nearly cone-subconvexlikeness, witha separation theorem for convex se
时，在近似锥-次类凸假设下利用严有效点集的性质和凸集分离定理得到了集
Set Valued Mappings on Topological Vector Space
线性拓扑空间凸集值映象的不动点定理
AN EXTREME MINIMUM FIXED POINT THEOREM FOR SET-VALUED MAPPING IN THE LOCAL CONVEX SPACE
局部凸空间中集值映射的一个极小不动点定理
Analysis and Synthesis of Linear Polytopic Uncertain Discrete-Time Systems;
线性凸多面体不确定离散系统的分析与综合
The Robustness Analysis of the Discrete Time Linear Systems with Polytopic Uncertainty
凸多面体不确定离散线性系统的鲁棒性分析
Gl_2 performance analysis of linear uncertain discrete-time polytopic systems
凸多面体不确定离散线性系统的Gl_2性能分析
Sub-differential of Convex Functions and the Converse of the Mean Value Theorem
凸函数的次微分与微分中值定理的逆定理
Decomposition Theorem of Complete Quasiconvex Mappings in Reinhardt Domains;
Reinhardt域上完全准凸映射的分解定理
An Extension of Differential Mid- Value Theory in Concave (Convex) Functions;
微分中值定理在凹(凸)函数中的推广
The Decomposition Theorem of Complete Quasi-Convex Mapping in a Category of Reinhardt Domain
一类Reinhardt域上完全准凸映射的分解定理
In this paper, two new existence theorems of solutions for a kind of quasi-variational inequalities withψ- monotone type multivalued mapping are obtained in hyperconvex metric spaces.
文章得到了超凸度量空间中两个新的一类单调型集值映射拟变分不等式解的存在定理.
An Analysis on "Protruding Set Effect" ofHuman Nature Competition in Business Management;
企业管理中人性竞争的“凸集合效应”分析
The Extension on Fixed Point Theorem of Power Arithmetic Operators F~n and F in close Convex Set;
闭凸集上幂算子F~n的不动点定理及算子F不动点定理的推广
Fan type best approximate fixed point theorem for multimap on hyperconvex spaces
超凸空间上集值映射的Fan型最佳近似不动点定理
ROBUST ANALYSIS AND DESIGN FOR UNCERTAIN SYSTEMS BASED ON THE CONVEX THEORY;
基于凸优化理论的不确定系统鲁棒分析与设计
Convex-Model Based Analysis and Design for Structural and Multidisciplinary Systems under Uncertainty;
基于凸集合模型的结构和多学科系统不确定性分析与设计
AUTOMATED ANALYSIS OF SPATIAL CAM SURFACES BASED ON DISCRETE ANALYSIS PRINCIPLE OF CONJUGATING SURFACES
基于共轭曲面离散解析原理的空间凸轮廓面自动分析
A Few Equivalent Ample Factors Concerning Closed Set Tallying with Convex Set;
关于闭集是凸集的几个等价充分条件