A division algorithm is an algorithm which, given two integers N and D (respectively the numerator and the denominator), computes their quotient and/or...

In mathematics, the Euclidean algorithm, or Euclid's algorithm, is an efficient method for computing the greatest common divisor (GCD) of two integers...

In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalized version...

In arithmetic, long division is a standard division algorithm suitable for dividing multi-digit Hindu-Arabic numerals (positional notation) that is simple...

In mathematics and computer science, an algorithm (/ˈælɡərɪðəm/ ) is a finite sequence of mathematically rigorous instructions, typically used to solve...

computation are called integer division algorithms, the best known of which being long division. Euclidean division, and algorithms to compute it, are fundamental...

(for larger examples, this can be computed with the extended Euclidean algorithm). Thus 1 3 = 2 + 5 ( − 1 3 ) . {\displaystyle {\frac {1}{3}}=2+5({\frac...

arithmetic algorithms for addition, subtraction, multiplication, and division are described. For example, through the standard addition algorithm, the sum...

An algorithm is fundamentally a set of rules or defined procedures that is typically designed and used to solve a specific problem or a broad set of problems...

in his 1965 Ph.D. thesis, which also included an algorithm to compute them (Buchberger's algorithm). He named them after his advisor Wolfgang Gröbner...

may be computed, like for the integer GCD, by the Euclidean algorithm using long division. The polynomial GCD is defined only up to the multiplication...

In symbolic computation, the Risch algorithm is a method of indefinite integration used in some computer algebra systems to find antiderivatives. It is...

multiplication algorithm is an algorithm (or method) to multiply two numbers. Depending on the size of the numbers, different algorithms are more efficient...

International Encyclopedia article "Division in Mathematics". 400AD Sunzi division algorithm Division by two Galley division Inverse element Order of operations...

In mathematics, the sieve of Eratosthenes is an ancient algorithm for finding all prime numbers up to any given limit. It does so by iteratively marking...

In the theory of multivariate polynomials, Buchberger's algorithm is a method for transforming a given set of polynomials into a Gröbner basis, which...

Trial division is the most laborious but easiest to understand of the integer factorization algorithms. The essential idea behind trial division tests...

The division described by Al-Khwarizmi in 825 was identical to the Sunzi algorithm for division. Group Field (algebra) Division algebra Division ring...

Missing values in a lookup table used by the FPU's floating-point division algorithm led to calculations acquiring small errors. While these errors would...

subtractions. Division of this type is efficiently realised in hardware by a modified shift register, and in software by a series of equivalent algorithms, starting...

nonnegative integers. Stein's algorithm uses simpler arithmetic operations than the conventional Euclidean algorithm; it replaces division with arithmetic shifts...

short division is a division algorithm which breaks down a division problem into a series of easier steps. It is an abbreviated form of long division — whereby...

and computer programming, the extended Euclidean algorithm is an extension to the Euclidean algorithm, and computes, in addition to the greatest common...

The Karatsuba algorithm is a fast multiplication algorithm. It was discovered by Anatoly Karatsuba in 1960 and published in 1962. It is a divide-and-conquer...

Shor's algorithm is a quantum algorithm for finding the prime factors of an integer. It was developed in 1994 by the American mathematician Peter Shor...

Maze generation algorithms are automated methods for the creation of mazes. A maze can be generated by starting with a predetermined arrangement of cells...

mathematics and computer science, Horner's method (or Horner's scheme) is an algorithm for polynomial evaluation. Although named after William George Horner...

the direction of Heisuke Hironaka with a dissertation entitled The Division Algorithm and the Hilbert Scheme. He joined Columbia University thereafter....

themselves really know how they value the goods. The archetypal fair division algorithm is divide and choose. It demonstrates that two agents with different...

{\displaystyle c=a\,{\bmod {\,}}n\,} would be to use a fast division algorithm. Barrett reduction is an algorithm designed to optimize this operation assuming n {\displaystyle...