the sign function or signum function (from signum, Latin for "sign") is a function that has the value −1, +1 or 0 according to whether the sign of a...

In mathematics, the matrix sign function is a matrix function on square matrices analogous to the complex sign function. It was introduced by J.D. Roberts...

In mathematics and its applications, the signed distance function or signed distance field (SDF) is the orthogonal distance of a given point x to the boundary...

(−), is called its sign, and is often encoded to the real numbers 0, 1, and −1, respectively (similar to the way the sign function is defined). Since...

sigmoid function is any mathematical function whose graph has a characteristic S-shaped or sigmoid curve. A common example of a sigmoid function is the...

The Heaviside step function, or the unit step function, usually denoted by H or θ (but sometimes u, 1 or 𝟙), is a step function named after Oliver Heaviside...

{R} .} The sign function sgn(x), which is −1 for negative numbers and +1 for positive numbers, and is the simplest non-constant step function. The Heaviside...

sign function, which has no such ambiguity. Any probability density function integrates to 1 , {\displaystyle 1,} so the probability density function...

programming language to denote the sign function. The lower-case Latin letter x is sometimes used in place of the multiplication sign. This is considered incorrect...

In mathematics, the error function (also called the Gauss error function), often denoted by erf, is a function e r f : C → C {\displaystyle \mathrm {erf}...

In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just...

given number. Ceiling function: Smallest integer larger than or equal to a given number. Sign function: Returns only the sign of a number, as +1, −1...

In probability and statistics, the quantile function outputs the value of a random variable such that its probability is less than or equal to an input...

of an odd function f ( x ) {\displaystyle f(x)} , then f ( 0 ) = 0 {\displaystyle f(0)=0} . Examples of odd functions are: The sign function x ↦ sgn ⁡...

A zero-crossing is a point where the sign of a mathematical function changes (e.g. from positive to negative), represented by an intercept of the axis...

number returns its value irrespective of its sign, whereas the sign (or signum) function returns a number's sign irrespective of its value. The following...

of a non-negative function of a single variable can be regarded, in the simplest case, as the area between the graph of that function and the X axis. The...

}}n<0\\\end{cases}}} where sgn is the sign function, ⌊ ⌋ {\displaystyle \lfloor \,\rfloor } is the floor function (rounding down), and ⌈ ⌉ {\displaystyle...

piecewise constant function Boxcar function, Heaviside step function Sign function Triangular function An approximation to a known curve can be found by sampling...

Floor and ceiling functions In mathematics, the floor function is the function that takes as input a real number x, and gives as output the greatest integer...

The plus sign (+) and the minus sign (−) are mathematical symbols used to denote positive and negative functions, respectively. In addition, the symbol...

_{i=1}^{n}a_{\sigma (i)i}} where sgn {\displaystyle \operatorname {sgn} } is the sign function of permutations in the permutation group S n {\displaystyle S_{n}} ...

a continuous function is a function such that a small variation of the argument induces a small variation of the value of the function. This implies...

signs that indicate the status of the body's vital (life-sustaining) functions. These measurements are taken to help assess the general physical health...

and so on. Let sgn {\displaystyle \operatorname {sgn} } denote the sign function: sgn ⁡ ( x ) = 1 {\displaystyle \operatorname {sgn}(x)=1} if x > 0 {\displaystyle...

The at sign, @, is an accounting and invoice abbreviation meaning "at a rate of" (e.g. 7 widgets @ £2 per widget = £14), now seen more widely in email...

descriptor. Greater-than sign is used in the 'spaceship operator', <=>. In ECMAScript and C#, the greater-than sign is used in lambda function expressions. In...

mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the...

Archived from the original on 2016-04-23. This sign function differs from the usual sign function by its value at 0. Maxwell, E. A. (1959). Fallacies...

as to look at the sign bit in the bit pattern; using the ISO C copysign() function (IEEE 754 copySign operation) to copy the sign of the zero to some...