additive arithmetic

additive arithmetic
мат. аддитивная арифметика

Большой англо-русский и русско-английский словарь. 2001.

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  • Arithmetic combinatorics — arose out of the interplay between number theory, combinatorics, ergodic theory and harmonic analysis. It is about combinatorial estimates associated with arithmetic operations (addition, subtraction, multiplication, and division). Additive… …   Wikipedia

  • 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

  • Additive — may refer to:* Additive function, a function which preserves addition * Additive inverse, an arithmetic concept * Additive category, a preadditive category with finite biproducts * Additive rhythm, a larger period of time constructed from smaller …   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

  • 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

  • Additive inverse — In mathematics, the additive inverse, or opposite, of a number a is the number that, when added to a, yields zero. The additive inverse of a is denoted −a. For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive… …   Wikipedia

  • Additive polynomial — In mathematics, the additive polynomials are an important topic in classical algebraic number theory. DefinitionLet k be a field of characteristic p , with p a prime number. A polynomial P ( x ) with coefficients in k is called an additive… …   Wikipedia

  • Additive number theory — In mathematics, additive number theory is a branch of number theory that studies ways to express an integer as the sum of integers in a set. Two classical problem in this area of number theory are the Goldbach conjecture and Waring s problem.… …   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

  • List of basic arithmetic topics — For a more comprehensive list, see the List of arithmetic topics. Arithmetic is the oldest and simplest branch of mathematics, used by almost everyone. Its tasks range from the simple act of counting to advanced science and business calculations …   Wikipedia

  • Fundamental theorem of arithmetic — In number theory, the fundamental theorem of arithmetic (or unique prime factorization theorem) states that every natural number greater than 1 can be written as a unique product of prime numbers. For instance, : 6936 = 2^3 imes 3 imes 17^2 , ,! …   Wikipedia


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