Square root algorithms compute the non-negative square root S {\displaystyle {\sqrt {S}}} of a positive real number S {\displaystyle S} . Since all square...

conclusion is that algorithms which compute isqrt() are computationally equivalent to algorithms which compute sqrt(). The integer square root of a non-negative...

Fast inverse square root, sometimes referred to as Fast InvSqrt() or by the hexadecimal constant 0x5F3759DF, is an algorithm that estimates 1 x {\textstyle...

mathematics, a square root of a number x is a number y such that y 2 = x {\displaystyle y^{2}=x} ; in other words, a number y whose square (the result of...

factoring algorithms that use quadratic residues and the law of quadratic reciprocity. Several modern factorization algorithms (including Dixon's algorithm, the...

time is proportional to the square root of the smallest prime factor of the composite number being factorized. The algorithm is used to factorize a number...

In bioinformatics, the root mean square deviation of atomic positions, or simply root mean square deviation (RMSD), is the measure of the average distance...

In mathematics, a square-free polynomial is a univariate polynomial (over a field or an integral domain) that has no multiple root in an algebraically...

The square root of 2 (approximately 1.4142) is the positive real number that, when multiplied by itself or squared, equals the number 2. It may be written...

a nested radical is a radical expression (one containing a square root sign, cube root sign, etc.) that contains (nests) another radical expression...

designs and software. Division algorithms fall into two main categories: slow division and fast division. Slow division algorithms produce one digit of the...

have at least one root. Therefore, root-finding algorithms consists of finding numerical solutions in most cases. Root-finding algorithms can be broadly...

outputted the training data code implementing the fast inverse square root algorithm, including comments and an incorrect copyright notice. In response...

number x of which the root is taken is the radicand. A root of degree 2 is called a square root and a root of degree 3, a cube root. Roots of higher degree...

mathematics, the square root of a matrix extends the notion of square root from numbers to matrices. A matrix B is said to be a square root of A if the matrix...

score by square root of the sum of the squares of all Hub scores, and dividing each Authority score by square root of the sum of the squares of all Authority...

square of the quantity being estimated. In an analogy to standard deviation, taking the square root of MSE yields the root-mean-square error or root-mean-square...

integer GCD algorithms, such as those of Schönhage, and Stehlé and Zimmermann. These algorithms exploit the 2×2 matrix form of the Euclidean algorithm given...

plus beta min algorithm is a high-speed approximation of the square root of the sum of two squares. The square root of the sum of two squares, also known...

a prime: that is, to find a square root of n modulo p. Tonelli–Shanks cannot be used for composite moduli: finding square roots modulo composite numbers...

Newton's method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or...

then replace r0 with m - r0, which will still be a root of -d). Then use the Euclidean algorithm to find r 1 ≡ m ( mod r 0 ) {\displaystyle r_{1}\equiv...

particular, if such an algorithm does not find any root, one does not know whether it is because there is no real root. Some algorithms compute all complex...

and therefore act the way we want . Same FFT algorithms can still be used, though, as long as θ is a root of unity of a finite field. To find FFT/NTT transform...

molecular and protein structures (in particular, see root-mean-square deviation (bioinformatics)). The algorithm only computes the rotation matrix, but it also...

therefore also an example of digit-by-digit algorithms. The original system is sometimes referred to as Volder's algorithm. CORDIC and closely related methods...

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

algorithms. In particular, algorithms for NP-complete problems which contain exhaustive search as a subroutine can be sped up by Grover's algorithm....

Turing run-time complexity of the square-root sum problem? More unsolved problems in computer science The square-root sum problem (SRS) is a computational...

Square root biased sampling is a sampling method proposed by William H. Press, a computer scientist and computational biologist, for use in airport screenings...