A construction for periodically-cyclic Gale -polytopes.
Bisztriczky, T. (2001)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “Corner cuts and their polytopes.”
A construction for periodically-cyclic Gale -polytopes.
Minimax equalities by reconstruction of polytopes.
Greco, Gabriele H., Horvath, Charles D. (2000)
Journal of Convex Analysis
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Typical faces of best approximating three-polytopes.
Böröczky, Károly J., Tick, Péter, Wintsche, Gergely (2007)
Beiträge zur Algebra und Geometrie
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Basic hypergeometric functions as limits of elliptic hypergeometric functions.
Van De Bult, Fokko J., Rains, Eric M. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Triangulations of simplicial polytopes.
McMullen, Peter (2004)
Beiträge zur Algebra und Geometrie
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Petrie-Coxeter maps revisited.
Hubard, Isabel, Schulte, Egon, Weiss, Asia Ivić (2006)
Beiträge zur Algebra und Geometrie
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Bounds of the affine breadth eccentricity of convex bodies via semi-infinite optimization.
Juhnke, Friedrich (2004)
Beiträge zur Algebra und Geometrie
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Circumscribed simplices of minimal mean width.
Böröczky, Károly, Schneider, Rolf (2007)
Beiträge zur Algebra und Geometrie
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On tropical Kleene star matrices and alcoved polytopes
María Jesús de la Puente (2013)
Kybernetika
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In this paper we give a short, elementary proof of a known result in tropical mathematics, by which the convexity of the column span of a zero-diagonal real matrix is characterized by being a Kleene star. We give applications to alcoved polytopes, using normal idempotent matrices (which form a subclass of Kleene stars). For a normal matrix we define a norm and show that this is the radius of a hyperplane section of its tropical span.
Mixture decompositions of exponential families using a decomposition of their sample spaces
Guido F. Montúfar (2013)
Kybernetika
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We study the problem of finding the smallest such that every element of an exponential family can be written as a mixture of elements of another exponential family. We propose an approach based on coverings and packings of the face lattice of the corresponding convex support polytopes and results from coding theory. We show that is the smallest number for which any distribution of -ary variables can be written as mixture of independent -ary variables. Furthermore,...