convex set
英 [ˈkɒnveks set]
美 [ˈkɑːnveks set]
网络 凸集合; 凸集; 形集合; 可行解凸集
双语例句
- One convex set which is Cartesian product of nonregular convex polygons is used instead of the other convex set which is Cartesian product of regular polygons.
采用不规则凸多边形的笛卡儿积构成的凸集代替正多边形的笛卡儿积构成的凸集，前者比后者更紧凑。 - Some relationships among the support function and indicator function of a convex set and their second-order epi-derivatives are given.
利用集合的表示函数、支撑函数、距离函数和投影等研究闭凸体的典范表示及点到边界的投影特征。 - Using a universal formula for the mean length of a convex set and the generalized support function, this paper has arrived at the mean length of the ellipse.
本文研究了凸域内两点间的平均距离公式，利用广义支持函数的方法分别求出了圆、矩形、椭圆域内两点间的平均距离，并给出了具体的求解过程。 - 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.
给出了集值映射的弱次微分与弱余切广义梯度的关系，并且借助弱余切广义梯度得到了集值优化问题的一个最优性条件。 - Perturbed Numerical Algorithm of Nonprobabilistic Convex Set Theoretical Models for Temperature Field
温度场的非概率凸集合理论模型的摄动数值解法 - By using the generalized support function, we can get the integral for the power of chords of a convex set.
本文研究了凸域内定长线段的包含测度问题，利用广义支持函数和限弦函数，得到了一类特殊凸域的包含测度。 - It is shown that a point and a ( compact) convex set are separated in this paper, and two compact convex sets are separated by a point of the original space in normed dual space.
给出了赋范共轭空间的点与（紧）凸集、紧凸集之间被原空间中的点分隔的定理。 - In this paper, by using Ben Tal generalized operation of algebra, generalized convex set is defined. And then, we have discussed some properties of the generalized convex set.
利用Ben-Tal广义代数运算定义了广义凸集，并且讨论了广义凸集的一些性质。 - Definition and Research on Convex Set of Fuzzy Random Vectors
对模糊随机向量凸集的定义及探讨 - Ray Avoiding mappings are introduced on Hilbert space. Under certain assumptions, Ray Avoiding mapping has at least three fixed points on a bounded, closed convex set D of Hilbert space.
在Hilbert空间中引入RayAvoiding映射，证明了在一定条件下，Hilbert空间的有界闭凸集D中RayAvoiding映射至少存在3个不动点。 - Using separation theorem of convex set and the time terminal value function equation, we obtain the determining method of optimal terminal time as well as the Maximum principle.
由凸集分离定理及终端时间阈值函数方程，我们获得了最大值原理及最优控制时间的确定方法。 - For a class of discrete systems, the problem of MPC with terminal constraint convex set is investigated.
针对一类离散系统，研究了带有终端约束凸集的MPC控制问题。 - The concept of-generalized convex set-valued map is defined in linear topological space.
在线性拓扑空间中，定义了-广义锥凸集值映射的概念。 - All sets of constraint function are linear and the feasible region is a convex set according to this formulation.
模型中的约束函数全部都是设计变量的线性函数，可行域是一个凸域。 - The proto-differentiability of set-valued mappings in topological linear space is considered in this paper. Some relationships among the support function and indicator function of a convex set and their second-order epi-derivatives are given.
本文研究集值映射的proto&导映射在拓扑线性空间中的存在性，凸集的支撑函数和表示函数与其二阶上图导数的联系。 - This paper offers six equivalence propositions of the convex set in the linear space and two equivalence propositions of convex set in the restricting condition.
本文给出了线性空间中集合为凸集的六个等形式，并在一定的约束条件下给出了凸集的两个等价形式。 - In this paper, the definition of tangent sets and its properties has been discussed and representation of the first order and the second order tangent sets on a convex set has been given.
讨论了度量空间上切集的定义和一些性质，并且给出了一阶和二阶切集在凸集上的表示。 - A generalized steepness lemma of projected gradient operator on a closed convex set is discussed in this paper. The global convergence and strong convergence of the projected gradient methods using several slacked step-size rules are proved.
在一般闭凸集上建立了梯度投影算子的广义陡度引理，利用它证明了几种松弛搜索下梯度投影算法的全局收敛性、强收敛性以及若干良好的收敛性质。 - The structural theorem of extremal subsets of a closed convex set is given.
给出闭凸集的端子集结构性定理。 - In the third section, firstly, we give a new set valued Bartle integral definition, then explore the integral properties for scalar function with respect to a bounded closed and convex set valued measure and establishes the limit theorem for set valued Bartle integral.
本文的第二部分给出了了集值Bartle积分一个新的定义，讨论了数值函数关于有界闭凸集值测度M的积分的性质并建立了集值Bartle积分的新的极限定理。 - And nonempty closed and bounded convex set(?)
E和非空、闭的有界凸集（？） - In Integral Geometry, by utilizing the support function and convex set, both area formula and perimeter formula of convex set are gotten.
在积分几何范围内，用直线的广法式表示及积分几何中的Crofton方向，得出了离散图象周长的计算公式，并且利用凸集的支持函数导出了凸集的面积和周长的计算公式。 - In this paper, we formulate a pair of higher-order symmetric models by using a differentiable function, where the objective functions contain a support function of a compact convex set in Rn.
本文我们利用一个可微函数给出了一对高阶对称规划问题，其中目标函数包含了Rn中一紧凸集的支撑函数。 - One Theorem on E-convex Set
关于E-凸集合的一个定理 - Tangent Cone of Convex Set ane Derivative, Codifferential Mappings of Set valued Convex Mapping
凸集的切向锥及集值凸映射的导映射和上微分映射 - A judgement block is a nonempty, bounded and closed convex set;
判断块是非空有界闭凸集； - On the Extreme point of Bounded Closed Convex Set in Conjugate Space X
关于共轭空间X~中有界闭凸集的端点 - At first a general random fixed point theorem is established. It is pointed out that a set-valued function with bounded closed convex set value in a separable dual Banach space has a random fixed point if and only if it has a generalized fixed point.
首先建立了一个一般随机不动点定理，指出在对偶可分空间中有界闭凸集值映射存在随机不动点的充要条件为该集值映射存在广义不动点； - Basics of convex set theory and the convex analysis method are introduced. A comparison of probabilistic method and convex method is made with designed examples.
介绍了凸集理论的基本定理、定义和凸分析方法，并结合例题比较了概率方法和凸分析方法。 - In the traditional mathematics, the convex function and the generalized convex function are very important, because it involved the minimal and maximal of convex functions in convex set.
在传统数学中，凸函数与广义凸函数是很重要的，因为它涉及了凸集上凸函数的极大与极小问题。