- multiplicative theory
- мат.мультипликативная теория
English-Russian scientific dictionary. 2008.
multiplicative theory
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Multiplicative number theory — is a subfield of analytic number theory that deals with prime numbers and with factorization and divisors. The focus is usually on developing approximate formulas for counting these objects in various contexts. The prime number theorem is a key… … Wikipedia
Multiplicative partition — In number theory, a multiplicative partition or unordered factorization of an integer n that is greater than 1 is a way of writing n as a product of integers greater than 1, treating two products as equivalent if they differ only in the ordering… … 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
Multiplicative calculus — In mathematics, multiplicative calculus refers to a number of calculi whose derivative and integral are multiplicative as compared to the classical (or conventional) calculus which is additive and linear. Different examples are given below.… … Wikipedia
Multiplicative group — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product … Wikipedia
Multiplicative inverse — The reciprocal function: y = 1/x. For every x except 0, y represents its multiplicative inverse. In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the… … Wikipedia
Multiplicative quantum number — In quantum field theory, multiplicative quantum numbers are conserved quantum numbers of a special kind. A given quantum number q is said to be additive if in a particle reaction the sum of the q values of the interacting particles is the same… … Wikipedia
Multiplicative group of integers modulo n — In modular arithmetic the set of congruence classes relatively prime to the modulus n form a group under multiplication called the multiplicative group of integers modulo n. It is also called the group of primitive residue classes modulo n. In… … Wikipedia
Multiplicative order — In number theory, given an integer a and a positive integer n with gcd(a,n) = 1, the multiplicative order of a modulo n is the smallest positive integer k with ak ≡ 1 (mod n). The order of a modulo n is usually written ordn(a), or On(a). Contents … Wikipedia
Multiplicative digital root — The multiplicative digital root of a positive integer n is found by multiplying the digits of n together, then repeating this operation until only a single digit remains. This single digit number is called the multiplicative digital root of n.[1] … Wikipedia
Completely multiplicative function — In number theory, functions of positive integers which respect products are important and are called completely multiplicative functions or totally multiplicative functions. Especially in number theory, a weaker condition is also important,… … Wikipedia
