Издательство: | Книга по требованию |
Дата выхода: | июль 2011 |
ISBN: | 978-6-1311-8907-4 |
Объём: | 144 страниц |
Масса: | 239 г |
Размеры(В x Ш x Т), см: | 23 x 16 x 1 |
High Quality Content by WIKIPEDIA articles! In mathematics, Shephard's problem is the following geometrical question: if K and L are centrally symmetric convex bodies in n-dimensional Euclidean space such that whenever K and L are projected onto a hyperplane, the volume of the projection of K is smaller than the volume of the projection of L, then does it follow that the volume of K is smaller than that of L. In this case, "centrally symmetric" means that the reflection of K in the origin, ?K, is a translate of K, and similarly for L. If ?k : Rn ? ?k is a projection of Rn onto some k-dimensional hyperplane ?k (not necessarily a coordinate hyperplane) and Vk denotes k-dimensional volume, Shephard's problem is to determine the truth or falsity of the implication.
Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.