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

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

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

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...

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...

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...

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...

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...

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

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

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...

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

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...

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...

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...

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...

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...

In the real number system, square numbers are non-negative. A non-negative integer is a square number when its square root is again an integer. For example...

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

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...

The square root of 5, denoted ⁠ 5 {\displaystyle {\sqrt {5}}} ⁠, is the positive real number that, when multiplied by itself, gives the natural number...

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

factorization method (also Dixon's random squares method or Dixon's algorithm) is a general-purpose integer factorization algorithm; it is the prototypical factor...

algorithms (also known as force-directed algorithms or spring-based algorithm) Spectral layout Network analysis Link analysis Girvan–Newman algorithm:...

frequently appears in the analysis of algorithms, not only because of the frequent use of binary number arithmetic in algorithms, but also because binary logarithms...