Convex and Set-Valued Analysis (Selected Topics) || 3. The affine hull of sets. The relative interior of convex setsdoi:10.1515/9783110460308-004Arutyunov, Aram V.Obukhovskii, Valeri
Based on concepts of relative algebraic interior and relative topological interior of sets,some conditions assuring Ari+B (A+B)ri in a linear space and conditions assuring riA+B ri(A+B) in a linear topological space are given respectively,according to Tanaka and Kuroiwa' s conclusions.Therefore...
China is about to eliminate absolute poverty in 2020 in favor of relativepoverty. The Gini coefficient reflects a distorted picture of relative poverty in China, which is prominent and overlaps with absolute poverty. This p...
网络相对内部;相对内点
aprojected onto longsection 射出longsection [translate] aThe plan demonstrates the layering of interiors and the relative daylight levels in the first tier of interior space. 计划在内部空间第一排展示分层堆积内部和亲戚白天水平。 [translate]
of “opportunity cost;” the worth of something is “the cost of the most valuable forgone alternative.”The worth of something is relative; it can only be measured in terms of the value of something else. When the comparison involves time, the common prratice is to take a value known ...
Optimization: A Journal of Mathematical Programming and Operations ResearchZhou, Z.A., Yang, X.M., Peng, J.W.: Optimality conditions of set-valued optimization problem involving relative algebraic interior in ordered linear spaces. Optimization. : 10.1080/02331934.2012.656117...
1) the open set relative to a subbase 关于子基的开集 2) the interior relative to a subbase 关于子基的内部 3) the closure relative to a subbase 关于子基的闭包 4) Dominance-based Rough Sets 基于支配关系的粗糙集 5) connectedness relative to a subbase ...
denotes the interior with respect to the relative euclidean topology of a set \(s\subseteq {\mathbb {r}}^n\) . this shows that \(o\cap {\widetilde{v}}\) is a relative zariski-open subset of \({\widetilde{v}}\) which is dense with respect to the relative euclidean topology. to ...
1) relative interior 相对内部 1. Thenrelative interioris 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。