大学英语词汇短语释义解析及例句 convex set
释义：
convex set 凸集：在数学中，指一个集合中任意两点之间的线段也完全包含在该集合内的集合。
例句：
In this paper we investigate the convex set in a plane of constant curvature.
本文研究常曲率平面上的凸集，研究常曲平面上的凸集方法。
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。
We first give a new definition, the support direction of a boundary point of a convex set.
给出了集合的边界点的支持方向的新概念。
The establishment of a recurrence relation in geometric convex set is the key to solve a problem.
几何凸集中递归关系的建立是求解问题的关键。
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。
In this paper, firstly the concept of generalized convex set-valued map is defined in ordered linear topological Spaces.
在序线性拓扑空间中定义了广义凸集值映射。
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。
In this paper we consider the uncertainty of seismic strength using convex set approach other then the traditional probabilistic method.
采用非传统概率方法—凸集方法来考虑地震动强度的不确定性。
And the expression of its subdifferential is developed in the case that the effective domain of the sup-type function is a non-empty convex set.
在极大值函数的有效域为非空凸集的条件下研究了次微分，并给出它的结构表达式。
Based on the set theoretic formulation, a projection onto convex sets (POCS) algorithm is applied to find the solution to face image reconstruction.
通过迭代求解法和高斯金字塔模型，快速精确地估计得到配准参数，采用凸集投影（POCS）算法对图像序列进行了超分辨率重建。
Then relative interior is introduced and an alternative theorem of generalized convex set-valued maps is established by using the separation theorem.
引进了相对内部，应用凸集分离定理建立了一个广义凸集值映射的择一性定理。
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.
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。
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。
A group of ellipsoidal invariant sets is designed off-line, and then constitutes a terminal constraint convex set whose coefficients are taken as on-line optimization variables.
通过离线设计一组椭圆不变集，并将其组合成一个终端约束凸集，其中凸集参数作为在线优化变量。
In Chapter 1, the space of families of pair of convex sets is introduced, which is the quotient space of the set of families of convex sets under suitable equivalence relations.
第1章介绍了凸集类对空间理论，及基于凸集类对空间理论介绍了广义拟可微函数的部分微分理论。
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。
This paper defines a kind of derivative for real function on convex set which is in linear space. By means of the derivative we study convexity of function and obtain some decision theories.
本文对线性空间中的凸集上的实值函数定义一种导数，用其研究函数凸性，得到了上述三种凸函数的若干判定定理。
In chapter 2, we introduce the knowledge that the paper use, introducing these conception of cone, cone convex set-valued maps, tangent cones, and tangent derivatives of set-valued mapping, etc.
第二章是预备知识，介绍了锥、锥凸集值函数、切锥与集值映射的切导数等的相关知识。
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.
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。
