2007•arXiv (Cornell University)Open access

The Elements of an Analysis of the Functions of a Set

А. А. Босов

Abstract

The variant of calculation of functions of set and their application is offered. In particular: the new measure of system of sets generalizing classical concept of a measure is entered; the variation of set that has allowed to construct a derivative of function of set on a measure is entered, and to receive necessary conditions of optimization in terms of function of set.

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Key concepts: Set function, Measure (data warehouse), Set (abstract data type), Construct (python library), Function (biology), Variation (astronomy), Mathematics, Computer science