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large-integer arithmetic

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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 coding — is a method for lossless data compression. Normally, a string of characters such as the words hello there is represented using a fixed number of bits per character, as in the ASCII code. Like Huffman coding, arithmetic coding is a form of… …   Wikipedia

  • Large numbers — This article is about large numbers in the sense of numbers that are significantly larger than those ordinarily used in everyday life, for instance in simple counting or in monetary transactions. The term typically refers to large positive… …   Wikipedia

  • Integer factorization — In number theory, integer factorization is the way of breaking down a composite number into smaller non trivial divisors, which when multiplied together equal the original integer.When the numbers are very large, no efficient integer… …   Wikipedia

  • Integer (computer science) — In computer science, an integer is a datum of integral data type, a data type which represents some finite subset of the mathematical integers. Integral data types may be of different sizes and may or may not be allowed to contain negative values …   Wikipedia

  • Integer overflow — In computer programming, an integer overflow occurs when an arithmetic operation attempts to create a numeric value that is larger than can be represented within the available storage space. For instance, adding 1 to the largest value that can be …   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 shift — In computer programming, an arithmetic shift is a shift operator, sometimes known as a signed shift (though it is not restricted to signed operands). For binary numbers it is a bitwise operation that shifts all of the bits of its operand; every… …   Wikipedia

  • Arithmetic derivative — In number theory, the arithmetic derivative, or number derivative, is a function defined for integers, based on prime factorization, by analogy with the product rule for the derivative of a function that is used in mathematical analysis. Contents …   Wikipedia

  • Integer relation algorithm — An integer relation between a set of real numbers x 1, x 2, ..., x n is a set of integers a 1, a 2, ..., a n, not all 0, such that:a 1x 1 + a 2x 2 + cdots + a nx n = 0.,An integer relation algorithm is an algorithm for finding integer relations.… …   Wikipedia

  • Integer matrix — In mathematics, an integer matrix is a matrix whose entries are all integers. Examples include the binary matrix; the zero matrix; the unit matrix; the adjacency matrix used in graph theory, amongst many others. Integer matrices find frequent… …   Wikipedia

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