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OverviewHigh Quality Content by WIKIPEDIA articles! In mathematics, the Crofton formula, named after Morgan Crofton (1826-1915), is a classic result of integral geometry relating the length of a curve to the expected number of times a random line intersects it.Suppose is a rectifiable plane curve. Given an oriented line l, let n (l) be the number of points at which and l intersect. We can parametrize the general line l by the direction in which it points and its signed distance p from the origin. Both sides of the Crofton formula are additive over concatenation of curves, so it suffices to prove the formula for a single line segment. Since the right-hand side does not depend on the positioning of the line segment, Full Product DetailsAuthor: Lambert M. Surhone , Mariam T. Tennoe , Susan F. HenssonowPublisher: VDM Publishing House Imprint: VDM Publishing House Dimensions: Width: 22.90cm , Height: 0.60cm , Length: 15.20cm Weight: 0.168kg ISBN: 9786131237188ISBN 10: 6131237182 Pages: 106 Publication Date: 14 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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