Authors: Johan Aspegren
One theme of this paper is to extend known results from polygons and balls to the general convex bodies in n− dimensions. An another theme stems from approximating a convex surface with polytope surface. Our result gives a sufficient and necessary condition for an natural approximation method to succeed (in principle) in the case of surfaces of convex bodies. Thus, Schwartz`s paradox does not affect our method. This allows us to denefine certain surface measures on surfaces of convex bodies in a novel and simple way.
Comments: 12 Pages.
[v1] 2018-05-01 00:29:25
[v2] 2018-05-03 15:13:00 (removed)
[v3] 2018-05-06 01:48:26
[v4] 2018-05-14 17:34:50 (removed)
[v5] 2018-05-20 22:09:51
[v6] 2018-05-22 11:28:23
[v7] 2018-05-30 16:22:45
[v8] 2019-05-30 19:33:17
[v9] 2019-09-21 11:22:17
[vA] 2019-12-02 13:56:27
Unique-IP document downloads: 173 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.