{ "id": "1906.07281", "version": "v1", "published": "2019-06-17T21:32:11.000Z", "updated": "2019-06-17T21:32:11.000Z", "title": "Navigating Around Convex Sets", "authors": [ "J. J. P. Veerman" ], "comment": "14 pages, 12 figures", "journal": "The American Mathematical Monthly, 2019", "categories": [ "math.DS" ], "abstract": "We review some basic results of convex analysis and geometry in $\\mathbb{R}^n$ in the context of formulating a differential equation to track the distance between an observer flying outside a convex set $K$ and $K$ itself.", "revisions": [ { "version": "v1", "updated": "2019-06-17T21:32:11.000Z" } ], "analyses": { "subjects": [ "34A26", "52A15", "49J52" ], "keywords": [ "convex set", "observer flying outside", "basic results", "differential equation", "convex analysis" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }