theory, a length function is a function that assigns a number to each element of a group. A length function L : G → R+ on a group G is a function satisfying:...

continuously differentiable (i.e., the derivative is a continuous function) function. The length of the curve is given by the formula L ( f ) = ∫ a b | f ′ (...

Often, "the" period of a function is used to mean its fundamental period. A function with period P will repeat on intervals of length P, and these intervals...

there are some hash functions that support variable-length output. The values returned by a hash function are called hash values, hash codes, (hash/message)...

intensity and day length, and average temperature variations throughout the year. They can be traced to the jyā and koṭi-jyā functions used in Indian astronomy...

the string. This function is often named length or len. For example, length("hello world") would return 11. Another common function is concatenation,...

particular, a simple reflection has length one. The function l is then an integer-valued function of W; it is a length function of W. It follows immediately...

mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of...

In computer programming, a pure function is a function that has the following properties: the function return values are identical for identical arguments...

distinguish the hard-core function value h(x) and uniformly random bits of length |h(x)| with negligible advantage over the length of x. A hard-core predicate...

element of the group) in terms of the length of that relation (see pp. 79–80 in ). The growth type of the Dehn function is a quasi-isometry invariant of a...

basic example of a string function is the length(string) function. This function returns the length of a string literal. e.g. length("hello world") would return...

analogous concept of the quantum coherence length of a wave function. In radio-band systems, the coherence length is approximated by L = c n Δ f ≈ λ 2 n Δ...

In optics and especially laser science, the Rayleigh length or Rayleigh range, z R {\displaystyle z_{\mathrm {R} }} , is the distance along the propagation...

C99 function allocates a variable-length array of a specified size, fills it with floating-point values, and then passes it to another function for processing...

Bit length or bit width is the number of binary digits, called bits, necessary to represent an unsigned integer as a binary number. Formally, the bit length...

g\in G\mapsto \ell _{X}(g)} is called the hyperbolic length function or the translation length function for the action of G on X. For g ∈ G exactly one of...

In mathematics, the Cantor function is an example of a function that is continuous, but not absolutely continuous. It is a notorious counterexample in...

In neurobiology, the length constant (λ) is a mathematical constant used to quantify the distance that a graded electric potential will travel along a...

check (CRC) functions. Most cryptographic hash functions are designed to take a string of any length as input and produce a fixed-length hash value. A...

Primitive recursive function, a function which can be computed with loops of bounded length Another name for computable function Recurrence relation,...

Culler and Vogtmann constructed an embedding, via the translation length functions discussed below, of X n {\displaystyle X_{n}} into the infinite-dimensional...

the arc length of an ellipse. Important elliptic functions are Jacobi elliptic functions and the Weierstrass ℘ {\displaystyle \wp } -function. Further...

norm satisfy the properties of a "length function" (or norm), that is: only the zero vector has zero length, the length of the vector is positive homogeneous...

a probability density function (PDF), density function, or density of an absolutely continuous random variable, is a function whose value at any given...

cryptography, a one-way compression function is a function that transforms two fixed-length inputs into a fixed-length output. The transformation is "one-way"...

In algebra, the length of a module over a ring R {\displaystyle R} is a generalization of the dimension of a vector space which measures its size. page...

magnitude for different lengths. To help compare different orders of magnitude, the following list describes various lengths between 1.6 × 10 − 35 {\displaystyle...

Thus the algorithm provides better immunity against length extension attacks. An iterative hash function (one that uses the Merkle–Damgård construction) breaks...

it is a balanced function or equivalently, if and only if p ( u x ) ≤ p ( x ) {\displaystyle p(ux)\leq p(x)} for every unit length scalar u {\displaystyle...