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exponential equivalence

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  • Characterizations of the exponential function — In mathematics, the exponential function can be characterized in many ways. The following characterizations (definitions) are most common. This article discusses why each characterization makes sense, and why the characterizations are independent …   Wikipedia

  • Exponentially equivalent measures — In mathematics, the notion of exponential equivalence of measures is a concept that describes how two sequences or families of probability measures are ldquo;the same rdquo; from the point of view of large deviations theory.DefinitionLet ( M , d… …   Wikipedia

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  • Surreal number — In mathematics, the surreal number system is an arithmetic continuum containing the real numbers as well as infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number. The surreals share… …   Wikipedia

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  • Dehn function — In the mathematical subject of geometric group theory, a Dehn function, named after Max Dehn, is an optimal function associated to a finite group presentation which bounds the area of a relation in that group (that is a freely reduced word in the …   Wikipedia

  • Combinatorial species — In combinatorial mathematics, the theory of combinatorial species is an abstract, systematic method for analysing discrete structures in terms of generating functions. Examples of discrete structures are (finite) graphs, permutations, trees, and… …   Wikipedia

  • Field (mathematics) — This article is about fields in algebra. For fields in geometry, see Vector field. For other uses, see Field (disambiguation). In abstract algebra, a field is a commutative ring whose nonzero elements form a group under multiplication. As such it …   Wikipedia

  • Complementation of Büchi automaton — In automata theory, complementation of a Büchi automaton is construction of another Büchi automaton that recognizes complement of the ω regular language recognized by the given Büchi automaton. Existence of algorithms for this construction proves …   Wikipedia

  • Partition of a set — In mathematics, a partition of a set X is a division of X into non overlapping parts or blocks or cells that cover all of X . More formally, these cells are both collectively exhaustive and mutually exclusive with respect to the set being… …   Wikipedia

  • Circuits over sets of natural numbers — Circuits over natural numbers is a mathematical model used in studying computational complexity theory. It is a special case of circuit, the object is a labeled directed acyclic graph the nodes of which evaluate to sets of natural numbers, the… …   Wikipedia

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