(number theory) Any system of arithmetic for integers which, for some given positive integer n, is equivalent to the set of integers being mapped onto the finite set {0, ... n} according to congruence modulo n, and in which addition and multiplication are defined consistently with the results of ordinary arithmetic being so mapped.

(mathematics) A developing branch of mathematics in which techniques of algebraic geometry are applied to number theory, in particular being concerned with schemes of finite type over the spectrum of the ring of integers, Spec(ℤ).

plural of arithmetical hierarchy

plural of arithmetic hierarchy

plural of arithmetic average

plural of arithmetic logic unit

(computer hardware) the section of a CPU that performs calculations and logical operations

(mathematics) A mean of two numbers which is the common limit of a pair of sequences, whose terms are defined by taking the arithmetic and geometric means of the previous pair of terms.

(computer science) Any calculation that is performed on numbers whose digits of precision are limited only by the available memory of the host system.

plural of arithmetic-geometric mean