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convex set中文是什么意思

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  • Thirdly , this thesis focuses on the study of the principle , realization and steps of the projection onto convex sets methods
    本文接着重点对凸集投影估计法的原理、实现方法及步骤进行了深入的研究。
  • In this paper , we introduce a new concept of @ - exceptional family for variational inequality with general nonempty closed convex sets
    在这篇文章中,一方面,我们利用例外簇来考察变分不等式解的存在性。
  • Abstract : in this paper , a definition of cone - convex set - to - set mapping which domains are failed of linear sturcture is given , their basic properties are discussed
    文摘:提出了锥凸集到集映射的概念,并讨论了这类映射的基本性质
  • The theorem states that for a finite family a of at least d + 1 convex sets in r ~ ( d ) , if every d + 1 members of a have a point in common , then there is a point common to all the members of a . there are many gener - alizations of helly theorem
    这些问题的共同特点是由几何元素出发,研究其抽象的关联性质。 helly定理是组合几何中一个非常重要的定理,由其衍生出的多种多样的问题统称helly型问题。
  • General convex sets and convex functions : g - convex sets and g - convcx functions are investigated , some properties of which arc achieved , the cti - tcrions of g - convcx functions and g - quasiconvcx functions arc given , the theory of general convexity is deepen : two kinds of general variational inequality problems are studied
    讨论了一类广义的凸集和凸函数: g -凸集和g -凸函数,得出了若干性质,给出了g -凸函数和g -拟凸函数的判别准则,丰富了广义凸性的内容;研究了两类广义的变分不等式问题。
  • In this paper , a concept of strictly efficient solution of the optimization problem for a set - valued mapping is introduced . it is proved that strictly efficient point set of the objective space is connected when objective function is cone convex - like , and that if objective function is cone convex set - valued mapping , then strictly efficient solution set is also connected . as an interesting application of the results in this paper , the connectedness of super efficient solution sets is discussed
    本文对集值映射最优化问题引入严有效解的概念.证明了当目标函数为锥类凸的集值映射时,其目标空间里的严有效点集是连通的;若目标函数为锥凸的集值映射时,其严有效解集也是连通的.作为应用,讨论了超有效解集的连通性
  • This paper deals with the existence of almost periodic solutions of linear impulsive delay differential equations as follows , ( the equation is abbreviated ) by using the fixed point theorem of contraction mapping principle we present a set of sufficient conditions to ensure the existence and uniqueness of almost periodic solutions of impulsive delay differential equations in some closed convex set
    摘要基于压缩不动点原理,考虑一类具有脉冲效应的时滞微分方程(方程式略)概周期解的存在性问题,在一定条件下获得了系统存在唯一概周期的一组充分条件。
  • Based on lyapunov stability theory , razumikhin stability theory and convex set theory , also by using linear matrix inequality , matrix analyzing methods and convex programming methods , we studied some kinds of robust control problem for uncertain time delay systems in details
    本论文主要基于lyapunov稳定性定理、 razumikhin稳定性定理以及凸集的有关理论,并采用线性矩阵不等式、矩阵分析以及凸规划等工具研究用状态空间模型描述的不确定时滞系统的鲁棒控制问题。
  • A geometric transversal is defined to be an affine subspace ( such as a point , a line , a plane , or a hyperplane ) intersecting every member of a given family . in part i we discuss three kinds of such problems . in chapter 2 we discuss point transversal to a family of translates of a convex sets in the plane , where we prove a famous conjecture of griinbaum ' s by a concrete and straightforward method for some special cases
    如果一仿射子空间(如一个点,一条直线,一个平面,或一个超平面)与一给定集族的每一个元都相交,则我们称该仿射子空间为该给定集族的一个几何横截(点横截,直线横截,平面横截等) ,也称该仿射子空间横截该给定集族。
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  • 百科解释
In Euclidean space, an object is convex if for every pair of points within the object, every point on the straight line segment that joins them is also within the object. For example, a solid cube is convex, but anything that is hollow or has a dent in it, for example, a crescent shape, is not convex.
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Last modified time:Wed, 13 Aug 2025 00:29:56 GMT

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