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completely additive function

См. также в других словарях:

  • Additive function — Different definitions exist depending on the specific field of application. Traditionally, an additive function is a function that preserves the addition operation:: f ( x + y ) = f ( x ) + f ( y )for any two elements x and y in the domain. An… …   Wikipedia

  • Arithmetic function — In number theory, an arithmetic (or arithmetical) function is a real or complex valued function ƒ(n) defined on the set of natural numbers (i.e. positive integers) that expresses some arithmetical property of n. [1] An example of an arithmetic… …   Wikipedia

  • Multiplicative function — Outside number theory, the term multiplicative function is usually used for completely multiplicative functions. This article discusses number theoretic multiplicative functions. In number theory, a multiplicative function is an arithmetic… …   Wikipedia

  • Von Mangoldt function — In mathematics, the von Mangoldt function is an arithmetic function named after German mathematician Hans von Mangoldt. Contents 1 Definition 2 Dirichlet series 3 Mellin transform …   Wikipedia

  • Liouville function — The Liouville function, denoted by λ( n ) and named after Joseph Liouville, is an important function in number theory. If n is a positive integer, then λ( n ) is defined as::lambda(n) = ( 1)^{Omega(n)},,! where Omega;( n ) is the number of prime… …   Wikipedia

  • Projection-valued measure — In mathematics, particularly functional analysis a projection valued measure is a function defined on certain subsets of a fixed set and whose values are self adjoint projections on a Hilbert space. Projection valued measures are used to express… …   Wikipedia

  • carbohydrate — /kahr boh huy drayt, beuh /, n. any of a class of organic compounds that are polyhydroxy aldehydes or polyhydroxy ketones, or change to such substances on simple chemical transformations, as hydrolysis, oxidation, or reduction, and that form the… …   Universalium

  • Primorial — The primorial has two similar but distinct meanings. The name is attributed to Harvey Dubner and is a portmanteau of prime and factorial . The primorial pn# is defined as the product of the first n primes:Mathworld | urlname=Primorial |… …   Wikipedia

  • Prime factor — In number theory, the prime factors of a positive integer are the prime numbers that divide into that integer exactly, without leaving a remainder. The process of finding these numbers is called integer factorization, or prime factorization.For a …   Wikipedia

  • Commutation theorem — In mathematics, a commutation theorem explicitly identifies the commutant of a specific von Neumann algebra acting on a Hilbert space in the presence of a trace. The first such result was proved by F.J. Murray and John von Neumann in the 1930s… …   Wikipedia

  • statistics — /steuh tis tiks/, n. 1. (used with a sing. v.) the science that deals with the collection, classification, analysis, and interpretation of numerical facts or data, and that, by use of mathematical theories of probability, imposes order and… …   Universalium

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