{ "id": "0707.1928", "version": "v1", "published": "2007-07-13T06:49:42.000Z", "updated": "2007-07-13T06:49:42.000Z", "title": "The Elements of an Analysis of the Functions of a Set", "authors": [ "A. A. Bosov" ], "comment": "12 pages", "categories": [ "math.FA" ], "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.", "revisions": [ { "version": "v1", "updated": "2007-07-13T06:49:42.000Z" } ], "analyses": { "subjects": [ "49K27", "93C25", "93C95" ], "keywords": [ "sets generalizing classical concept", "receive necessary conditions", "calculation", "application", "optimization" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0707.1928B" } } }