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integer arithmetic functions

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  • Arithmetic — tables for children, Lausanne, 1835 Arithmetic or arithmetics (from the Greek word ἀριθμός, arithmos “number”) is the oldest and most elementary branch of mathematics, used b …   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

  • arithmetic function —       any mathematical function defined for integers (…, −3, −2, −1, 0, 1, 2, 3, …) and dependent upon those properties of the integer itself as a number, in contrast to functions that are defined for other values (real numbers (real number),… …   Universalium

  • Integer sequence — In mathematics, an integer sequence is a sequence (i.e., an ordered list) of integers. An integer sequence may be specified explicitly by giving a formula for its nth term, or implicitly by giving a relationship between its terms. For example,… …   Wikipedia

  • Arithmetic of abelian varieties — In mathematics, the arithmetic of abelian varieties is the study of the number theory of an abelian variety, or family of those. It goes back to the studies of Fermat on what are now recognised as elliptic curves; and has become a very… …   Wikipedia

  • Arbitrary-precision arithmetic — In computer science, arbitrary precision arithmetic indicates that calculations are performed on numbers whose digits of precision are limited only by the available memory of the host system. This contrasts with the faster fixed precision… …   Wikipedia

  • Computer for operations with functions — Computer for operations with mathematical functions (unlike the usual computer) operates with functions at the hardware level (i.e. without programming these operations).[1][2][3] Contents 1 History …   Wikipedia

  • Interval arithmetic — Interval arithmetic, also called interval mathematics , interval analysis , and interval computation , is a method in mathematics. It has been developed by mathematicians since the 1950s and 1960s as an approach to putting bounds on rounding… …   Wikipedia

  • Second-order arithmetic — In mathematical logic, second order arithmetic is a collection of axiomatic systems that formalize the natural numbers and sets thereof. It is an alternative to axiomatic set theory as a foundation for much, but not all, of mathematics. The… …   Wikipedia

  • Outline of arithmetic — The following outline is provided as an overview of and topical guide to arithmetic: Arithmetic is the oldest branch of mathematics, used by almost everyone. Its tasks range from the simple act of counting to advanced science and business… …   Wikipedia

  • Trigonometric functions — Cosine redirects here. For the similarity measure, see Cosine similarity. Trigonometry History Usage Functions Generalized Inverse functions …   Wikipedia

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