Vol. 46, No. 1, 1973

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The multidimensional content of the frustum of the simplex

Giulio Varsi

Vol. 46 (1973), No. 1, 303–314
Abstract

The content of the intersection of a simplex with a semispace is computed by means of a dissection technique. An efficient algorithm, suitable for automatic calculation, is given. For an n-dimensional space, the algorithm needs only n 1 storage location at most, and requires n2 operations.

Mathematical Subject Classification
Primary: 52A25
Milestones
Received: 5 January 1971
Revised: 16 November 1972
Published: 1 May 1973
Authors
Giulio Varsi