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formal algorithm

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  • Algorithm characterizations — The word algorithm does not have a generally accepted definition. Researchers are actively working in formalizing this term. This article will present some of the characterizations of the notion of algorithm in more detail. This article is a… …   Wikipedia

  • Algorithm — Flow chart of an algorithm (Euclid s algorithm) for calculating the greatest common divisor (g.c.d.) of two numbers a and b in locations named A and B. The algorithm proceeds by successive subtractions in two loops: IF the test B ≤ A yields yes… …   Wikipedia

  • Formal grammar — In formal semantics, computer science and linguistics, a formal grammar (also called formation rules) is a precise description of a formal language ndash; that is, of a set of strings over some alphabet. In other words, a grammar describes which… …   Wikipedia

  • Algorithm examples — This article Algorithm examples supplements Algorithm and Algorithm characterizations. = An example: Algorithm specification of addition m+n =Choice of machine model:This problem has not been resolved by the mathematics community. There is no… …   Wikipedia

  • Formal language — A formal language is a set of words , i.e. finite strings of letters , or symbols . The inventory from which these letters are taken is called the alphabet over which the language is defined. A formal language is often defined by means of a… …   Wikipedia

  • A* search algorithm — In computer science, A* (pronounced A star ) is a best first, graph search algorithm that finds the least cost path from a given initial node to one goal node (out of one or more possible goals). It uses a distance plus cost heuristic function… …   Wikipedia

  • Cipolla's algorithm — In computational number theory, Cipolla s algorithm is a technique for solving a congruence of the form x2 = n, where , so n is the square of x, and where p is an odd prime. Here denotes the finite field with p elements; . Th …   Wikipedia

  • Super-recursive algorithm — In computer science and computability theory, super recursive algorithms are algorithms that are more powerful, that is, compute more, than Turing machines. The term was introduced by Mark Burgin, whose book Super recursive algorithms develops… …   Wikipedia

  • Deterministic algorithm — In computer science, a deterministic algorithm is an algorithm which, in informal terms, behaves predictably. Given a particular input, it will always produce the same output, and the underlying machine will always pass through the same sequence… …   Wikipedia

  • Extended Euclidean algorithm — The extended Euclidean algorithm is an extension to the Euclidean algorithm for finding the greatest common divisor (GCD) of integers a and b : it also finds the integers x and y in Bézout s identity: ax + by = gcd(a, b). ,(Typically either x or… …   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

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