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OverviewHigh Quality Content by WIKIPEDIA articles! In integral geometry (otherwise called geometric probability theory), Hadwiger's theorem states that the space of measures (see below) defined on finite unions of compact convex sets in Rn consists of one measure that is homogeneous of degree k for each k = 0, 1, 2, ..., n, and linear combinations of those measures. Here measure means a real-valued function m that is invariant under rigid motions (combinations of rotations and translations), finitely additive (if A and B are finite unions of compact convex sets then m(A B) = m(A) + m(B) m(A B), and m( ) = 0), and convex-continuous (its restriction to convex sets is continuous with respect to the Hausdorff metric). The countable additivity condition that is usually a part of the definition of measure is not required here. Full Product DetailsAuthor: Lambert M. Surhone , Mariam T. Tennoe , Susan F. HenssonowPublisher: VDM Publishing House Imprint: VDM Publishing House Dimensions: Width: 22.90cm , Height: 0.40cm , Length: 15.20cm Weight: 0.114kg ISBN: 9786131269165ISBN 10: 6131269165 Pages: 68 Publication Date: 15 August 2010 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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