Reference : Slices, slabs, and sections of the unit hypercube
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Slices, slabs, and sections of the unit hypercube
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Mossinghoff, Michael J. mailto [Davidson College, Davidson, NC, USA > Department of Mathematics]
Online Journal of Analytic Combinatorics
University of Missouri
Yes (verified by ORBilu)
[en] cube slicing ; hyperplane section ; signed decomposition ; volume ; Eulerian numbers
[en] Using combinatorial methods, we derive several formulas for the volume of convex bodies obtained by intersecting a unit hypercube with a half-space, or with a hyperplane of codimension 1, or with a flat defined by two parallel hyperplanes. We also describe some of the history of these problems, dating to Pólya's Ph.D. thesis, and we discuss several applications of these formulas.
University of Luxembourg - UL
Recherches méthodologiques et mathématiques en aide à la décision et à la classification > 01/01/2005 – 12/12/2007 > BISDORFF Raymond
Researchers ; Professionals ; Students

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