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# representation and algorithm, giving a representation of the input and output and the algorithm which transforms one into the other ; and

# the hardware implementation, how algorithm and representation may be physically realized.

Empirical results indicate the algorithm runs in approximately half the time of Qhull, and free implementations in C ++ and C # are available.

# REDIRECT Euclidean algorithm

For case # 1, the painter paints ( fills ) the pixel the painter is standing upon and stops the algorithm.

# REDIRECT Maze generation algorithm

# REDIRECT Maze generation algorithm

# Determine the structure of the learned function and corresponding learning algorithm.

* RSA encryption algorithm ( PKCS # 1 )

# REDIRECT symmetric-key algorithm

# REDIRECT Sorting algorithm

Larry Stockmeyer has proved that for every # P problem P there exists a randomized algorithm using oracle for SAT, which given an instance a of P and ε > 0 returns with high probability a number x such that.

A polynomial-time algorithm for solving a # P-complete problem, if it existed, would imply P = NP, and thus P = PH.

Jerrum, Valiant, and Vazirani showed that every # P-complete problem either has an FPRAS, or is essentially impossible to approximate ; if there is any polynomial-time algorithm which consistently produces an approximation of a # P-complete problem which is within a polynomial ratio in the size of the input of the exact answer, then that algorithm can be used to construct an FPRAS.

# A hypothesis that a genetic algorithm performs adaptation by implicitly and efficiently implementing this heuristic.

# An algorithm that converts an input string into a seemingly random output string of the same length ( e. g., by pseudo-randomly selecting bits to invert ), thus avoiding long sequences of bits of the same value ; in this context, a randomizer is also referred to as a scrambler.

# Say we have an algorithm that finds an MST ( which we will call A ) based on the structure of the graph and the order of the edges when ordered by weight.

# A quantum algorithm to solve the order-finding problem.

# redirect randomized algorithm

# Give the answer as a fraction representing a rational number, so the result of the division of 26 by 11 is But, usually, the resulting fraction should be simplified: the result of the division of 52 by 22 is also This simplification may be done by factoring out the greatest common divisor computed by mean of Euclidean algorithm.