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  relative interior
     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,Tanaka and Kuroiwa' s conclusions about interior are generalized to the situation of relative interior.
     根据Tanaka和Kuroiwa的结论,在集合相对代数内部和相对拓扑内部概念的基础上,分别讨论了线性空间中Ari+B(A+B)ri和线性拓扑空间中riA+Bri(A+B)成立的条件,从而将Tanaka和Kuroiwa关于内部的结论推广到了相对内部的情形;
短句来源
     Conditions Assuring Properties of the Relative Interior of Sets in a Linear Space
     线性空间中集合相对内部性质成立的条件
短句来源
     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.
短句来源
     Under the assuption of -generalized convexity,relative interior is introduced,and a Farkas-Minkowski type alternative theorem is proved.
     在 -广义锥凸性假设下,引进相对内部,证明了Farkas-Minkowski型的择一性定理。
短句来源
     Some new properties of explicitly quasiconcave functions are presented. These newproperties are expressed in terms of the properties of arid relationships between the levelset, the upper level set, the relative interior, and the relative boundary of the upper levelset.
     本文提出了显拟凹函数的若干新性质.这些新性质是用水平集、上水平集及其相对内部、相对边界的性质与它们之间的关系来表述的.
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  “相对内部”译为未确定词的双语例句
     During the analysis,SWOT is used to get the real situation of Longkou port. With SWOT analysis method,this thesis lists the internal advantages and disadvantages,the external opportunities and competition to Longkou port,all of which are essential to establish feasible development strategy.
     本文运用SWOT分析法,分析了龙口港外部战略环境、内部战略能力及其发展趋势,并指出了龙口港的相对内部优势和劣势以及外部机会和威胁,以指导龙口港在制定发展战略时扬长避短,制定切实可行的港口战略。
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     The produce mechanism of this kind of medi-organization is rectify the falsity in play chess of enterprise accountant information property rights. Its mostly function is make up the failure of market enterprise information display. Accordingly it has the action of implement and enlarge the social cooperate leavings.
     该类中介组织产生的机理论于矫正企业会计信息产权博弈中的悖论,其主要功能是通过第三方鉴证弥补市场企业信息显示失灵问题,从而具有实现合作剩余分配和扩大社会合作剩余总额的作用,由此可以进一步论证该类中介组织实质上也就是市场经济中实现外部性交易成本相对内部化的一种形式。
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     In this paper we discuss the properties of strongly decomposable operators and prove that strong decomposition of T implies strong decomposition of T~* if every set spectrum F of T~* equal to Fo.
     本文讨论了强可分解算子的若干性质,证明了当T的集合谱为其关于σ(T)的相对内部的闭包时,T强可分解蕴含T强可分解,最后给出了T为强可分解的一个充要条件。
短句来源
     The lightweight aggregate interlocks with the cement paste boundary,and the depth of the interfacial transition zone is about 20—30 μm. The ratio of silica to calcium and the micro hardness of lightweight aggregates are higher than that in cement matrix.
     研究发现:高强页岩陶粒表层相对内部较为致密,轻集料与水泥石的界面呈嵌锁状,界面区宽度约为20~30μm,硅钙比、显微硬度均高于水泥石基体。
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  相似匹配句对
     Theory of Relativity & Theory of Relative Absoluteness
     相对绝对论
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     THE STUDY OF RELATIVE COULOMETRIC TITRITION
     相对库仑滴定法
短句来源
     Analysis of the interior environment.
     ·内部环境分析。
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     INTERNAL CONTROL
     内部控制
短句来源
     Distribution of the emission coefficient of an axial symmetrical light source
     发光体内部发光强度相对分布的实验测量和计算
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  relative interior
The relative interior of the base polyhedron and the core
      
In this paper we present an infinite dimensional nonlinear duality theory obtained by using new separation theorems based on the notion of quasi-relative interior, which, in all the concrete problems considered, is nonempty.
      
An interior point of a triangle is calledCP-point if its orthogonal projection on the line containing each side lies in the relative interior of that side.
      
We develop the notion of the quasi relative interior of a convex set, an extension of the relative interior in finite dimensions.
      
Our result depended on a constraint qualification involving the notion ofquasi relative interior.
      
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  relative interiors
Partially finite convex programming, Part I: Quasi relative interiors and duality theory
      
We show that the GIT-classes are the relative interiors of rational polyhedral convex cones, which form a fan in the G-ample cone.
      
They exploit the key facts that the transition probabilities of queueing networks are shift invariant on the relative interiors of faces and the cost functions of interest are linear in the state.
      
A systematic procedure for choosing different quadratic functions on the relative interiors of faces to serve as surrogates of the differential costs in an inequality relaxation of the average cost function leads to linear program bounds.
      


In this paper we discuss the properties of strongly decomposable operators and prove that strong decomposition of T implies strong decomposition of T~* if every set spectrum F of T~* equal to Fo.

本文讨论了强可分解算子的若干性质,证明了当T的集合谱为其关于σ(T)的相对内部的闭包时,T强可分解蕴含T强可分解,最后给出了T为强可分解的一个充要条件。

In this papers the definition of Benson-proper efficient points is generalized. A characterization of the relative interior of a convex cone is given. Without the pointedness assumption, the equivalence between Hartley-proper efficient points and the generalized Bensonproper efficient points is proved by the characterization of relative interiors of convex cones. Several results of scalarization of efficient points and proper efficient points are derived.

本文推广了Benson真有效点的定义,给出了凸锥相对内部的一个刻划,并在无尖性假设情况下,利用凸锥相对内部的刻划,证明了Hartley真有效点与改进的Benson真有效点是等价的;同时给出了一些有效点与真有效点标量化的一些结果.

Some new characterizations of explicitly convex and strictly convex functionsare presented. These new characterizations are expressed in terms of the properties of andrelationships between the graph I the eplgraph, the relative interior, the relative boundary Iand the extreme points of the epigraph.

提出了显凸函数和严格凸函数的若干新特征,这些新特征是用函数的图象、上图象及其相对内部、相对边界、极点的性质与它们之间的关系来表述的。

 
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