JOURNAL ARTICLE
Combinatorial dimension in fractional Cartesian products
Year: 2004 Journal: Random Structures and Algorithms Vol: 26 (1-2)Pages: 146-159 Publisher: Wiley
Abstract
Abstract The combinatorial dimension relative to an arbitrary fractional Cartesian product is defined. Relations between dimensions in certain archetypal instances are derived. Random sets with arbitrarily prescribed dimensions are produced; in particular, scales of combinatorial dimension are shown to be continuously and independently calibrated. A combinatorial concept of cylindricity is key. © 2004 Wiley Periodicals, Inc. Random Struct. Alg., 2005
Keywords:
Cartesian product Dimension (graph theory) Product (mathematics) Mathematics Key (lock) Cartesian coordinate system struct Packing dimension Pure mathematics Combinatorics Discrete mathematics Computer science Mathematical analysis Geometry Minkowski–Bouligand dimension Fractal dimension
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Topics
History and advancements in chemistry
Physical Sciences → Chemistry → Physical and Theoretical Chemistry
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