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

may be preferable to compute the inverse square root instead. Other methods are available to compute the square root digit by digit, or using Taylor series...

with approximately 9,400 active players in 2018. Fast inverse square root, sometimes referred to as Fast InvSqrt() or by the hexadecimal constant 0x5F3759DF...

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

function is bijective and so, invertible. The inverse function here is called the (positive) square root function and is denoted by x ↦ x {\displaystyle...

calculation of these shaders, id Tech 3 implements a specific fast inverse square root function, which attracted a significant amount of attention in...

Aitken's delta-squared process Bisection method Euler method Fast inverse square root Fisher scoring Gradient descent Integer square root Kantorovich theorem...

and bit-shifting can yield an approximation to reciprocal square root (fast inverse square root), commonly required in computer graphics. IEEE 754 ISO/IEC...

and ordinal numbers. The two inverses of tetration are called super-root and super-logarithm, analogous to the nth root and the logarithmic functions...

{\displaystyle (x_{0},y_{0},z_{0})} is the center of the metaball. The fast inverse square root technique may be used in this calculation. Various other falloff...

value, special value to detect buffer overflows XYZZY (magic word) Fast inverse square root, an algorithm that uses the constant 0x5F3759DF Martin, Robert...

allows for a fast approximation of the base-2 logarithm, leading to algorithms e.g. for computing the fast square-root and fast inverse-square-root. The implicit...

undefined behaviour. For example, passing a negative number to the fast inverse square root function will produce a number. Not a very useful number, but the...

information. Binomial inverse theorem LU decomposition Matrix decomposition Matrix square root Minor (linear algebra) Partial inverse of a matrix Pseudoinverse...

first used in Enemy Territory: Quake Wars. Quake 3 popularized the fast inverse square root algorithm. Carmack's engines have also been licensed for use in...

Practical examples of floating-point punning include fast inverse square root popularized by Quake III, fast FP comparison as integers, and finding neighboring...

Bernoulli's method to find the root of greatest modulus. The inverse power method with shifts, which finds some smallest root first, is what drives the complex...

radical sign     3 . {\displaystyle {\sqrt[{3}]{~^{~}}}.} The cube root is the inverse function of the cube function if considering only real numbers, but...

the inverse trigonometric functions (occasionally also called arcus functions, antitrigonometric functions or cyclometric functions) are the inverse functions...

y2)1/2 Alpha max plus beta min algorithm — approximates hypot(x,y) Fast inverse square root — calculates 1 / √x using details of the IEEE floating-point system...

A fast Fourier transform (FFT) is an algorithm that computes the Discrete Fourier Transform (DFT) of a sequence, or its inverse (IDFT). Fourier analysis...

inverse golden ratio and minus golden ratio. For n = 8, for any root of unity z + z equals to either 0, ±2, or ±√2 (D = 2). For n = 12, for any root of...

expensive computation (3 ** x) to be replaced by the cheaper (3 * z). Fast inverse square root Hacker's Delight Partial evaluation Steven Muchnick; Muchnick and...

attributes of the complex DFT, including the inverse transform, the convolution theorem, and most fast Fourier transform (FFT) algorithms, depend only...

According to the inverse function theorem, the matrix inverse of the Jacobian matrix of an invertible function is the Jacobian matrix of the inverse function...

product), and compute the inverse transform C {\displaystyle C} of the array C ^ {\displaystyle {\widehat {C}}} , again using the root of unity g {\displaystyle...

than in a square wave (proportional to the inverse square of the harmonic number as opposed to just the inverse). A triangle wave of period p that spans...

r = b {\displaystyle b^{r}={\sqrt {b}}} . From the definition of the square root, we have that b × b = b {\displaystyle {\sqrt {b}}\times {\sqrt {b}}=b}...

experimentally that the rate of effusion of a gas is inversely proportional to the square root of the molar mass of its particles. This formula is stated...

arccos – inverse cosine function. arccosec – inverse cosecant function. (Also written as arccsc.) arccot – inverse cotangent function. arccsc – inverse cosecant...