繁殖 发表于 2025-3-26 22:19:24
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1384-6485 heir only choice was to write this book, to fill a gap in the mathematicalliterature. The idea of convexity has appeared in the human mind since the antiquity and its fertility has led to a huge diversity of notions and of applications. A student intending a thoroughgoing study of convexity has theAlopecia-Areata 发表于 2025-3-27 11:26:39
Alternative theorems and integer convex setse 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 is convex with respect to Z.. Conversely, if X ⊆ Z. is an integer convex set, then the set conv (X) is an integer polyhedral set.Leaven 发表于 2025-3-27 14:43:57
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Applications in optimisationons or necessary and sufficient conditions for a feasible solution of mathematical programming problem to be an optimal solution. Also it allows the elaboration of some duality theorems for discrete programming problem, where the feasible solution is a discrete polyhedral set, integer convex, of n dimension.内行 发表于 2025-3-27 23:09:19
The fields of non-connected convexity propertiesMany directions of generalisation of the convexity appeared, some of them allowing an axiomatic approach, as it can be seen in the above mentioned books. Others apply to sets with less geometrical properties, for example not connected sets from the necessity of extending the tools provided by the convexity to more general frameworks.渐强 发表于 2025-3-28 04:24:21
Behaviours. Convexity with respect to a behaviourlise the property of convexity of a function. The main results in this direction are written in the papers of E. Moldovan (1955, 1958,1959) and E. Popoviciu (1969, 1972, 1983). Her disciples, M. Ivan (1975, 1980, 1982) and R. Precup (1984, 1995) gave applications of this concept in interpolation and approximation.芭蕾舞女演员 发表于 2025-3-28 10:03:28
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