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Titlebook: Non-Connected Convexities and Applications; Gabriela Cristescu,Liana Lup?a Book 2002 Springer Science+Business Media Dordrecht 2002 Convex

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樓主: 變成小松鼠
11#
發(fā)表于 2025-3-23 09:42:15 | 只看該作者
12#
發(fā)表于 2025-3-23 14:31:52 | 只看該作者
13#
發(fā)表于 2025-3-23 20:10:26 | 只看該作者
Behaviours. Convexity with respect to a behaviourterm behaviour for the first time in 1965, on the occasion of a conference held at Cluj-Napoca “Babe?-Bolyai” University, without publishing it. The discussions on this theme have been reconsidered during the meetings of the Interdisciplinary Researches Laboratory of Cluj-Napoca “Babe?-Bolyai” Unive
14#
發(fā)表于 2025-3-24 00:22:25 | 只看該作者
Convexity with respect to a set and two behavioursnation of the techniques of superposition of a set on another one, more often a network over its support set, with the description of the relationship between their elements and their subsets using the above presented technique of behaviours. In this chapter we shall show how does the concept of beh
15#
發(fā)表于 2025-3-24 05:51:45 | 只看該作者
Convexities defined by means of distance functionsuch that A is its digitisation. In this chapter we intend to study the sets that are the solution of the converse problem: to find the properties of the sets that become, after digitisation, the same discrete convex set. The properties of convexity with respect to a set and two behaviours, studied i
16#
發(fā)表于 2025-3-24 08:36:53 | 只看該作者
Induced convexityed from a as its image by means of a transformation T: A → B, therefore a’ = T(a). The human perception provides us with the most known example: every object is transformed, through the senses, into a set of impulses. The synthesis of the impulses generates an “image” of that object at the level of
17#
發(fā)表于 2025-3-24 13:43:08 | 只看該作者
Convexity defined by means of given functionion with applications in discrete sets, in metric spaces, or in various types of Cartesian products of sets, related to multiple criteria programming problems. We recall some of them because they will be referred to in our study.
18#
發(fā)表于 2025-3-24 16:02:26 | 只看該作者
Classification of the convexity propertiesterature. For example, the great collection of P. M. Gruber and J. M. Willis (1993) refers to 21 types of convexity for various types of sets. I. Singer (1997) writes about 26 types of convexity for sets, trying to obtain a classification of them according to the principle of definition and of some
19#
發(fā)表于 2025-3-24 21:05:25 | 只看該作者
20#
發(fā)表于 2025-3-25 02:15:23 | 只看該作者
Alternative theorems and integer convex setscorresponds to each integer polyhedral set S (i.e. a polyhedral set generated by a system of linear inequalities with integer coefficients). SI will be called the discrete polyhedral set attached to S. The set S is always classically convex. Chapter 2 proved that SI is not classically convex but it
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