{ "id": "1610.02295", "version": "v1", "published": "2016-10-03T23:05:52.000Z", "updated": "2016-10-03T23:05:52.000Z", "title": "Explicit measures for the homogeneous transform", "authors": [ "Hubert Holin" ], "comment": "14 pages, 3 figures (one of which is a composite)", "categories": [ "math.FA", "math.PR" ], "abstract": "The homogeneous transform has many practical applications outside the realm of mathematics, for instance to represent the proportions of several chemical substances. We aim here to present results about the transformation of measures, which could be used to take into account the uncertainties of the quantities to be homogeneously transformed.", "revisions": [ { "version": "v1", "updated": "2016-10-03T23:05:52.000Z" } ], "analyses": { "subjects": [ "62E15", "G.3" ], "keywords": [ "homogeneous transform", "explicit measures", "practical applications outside", "quantities", "proportions" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }