mathematics, a pairing function is a process to uniquely encode two natural numbers into a single natural number. Any pairing function can be used in...

Pairing-based cryptography is the use of a pairing between elements of two cryptographic groups to a third group with a mapping e : G 1 × G 2 → G T {\displaystyle...

already numbered (or use the axiom of countable choice). In general any pairing function can be used to solve this problem. For each of these methods, consider...

The pair distribution function describes the distribution of distances between pairs of particles contained within a given volume. Mathematically, if a...

guarantees. A pairing heap is either an empty heap, or a pairing tree consisting of a root element and a possibly empty list of pairing trees. The heap...

as a surplus member, or as the other member of an ordered pair by using a pairing function. We expect that there is an effective way for this information...

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...

B and A × B (with the ordered pair of natural numbers mapped to a single natural number with the Cantor pairing function) are computably enumerable sets...

computable sets then A ∩ B, A ∪ B and the image of A × B under the Cantor pairing function are computable sets. A is a computable set if and only if A and the...

In statistical mechanics, the radial distribution function, (or pair correlation function) g ( r ) {\displaystyle g(r)} in a system of particles (atoms...

In mathematics, the Weil pairing is a pairing (bilinear form, though with multiplicative notation) on the points of order dividing n of an elliptic curve...

a pairing is a function with domain X. It is more common to see properties (1) and (2) written as a single statement: Every element of X is paired with...

In mathematical logic and set theory, an ordinal notation is a partial function mapping the set of all finite sequences of symbols, themselves members...

that include a pairing function. This is a function of arity 2 that takes pairs of elements of the domain and returns an ordered pair containing them...

distribution is given by the pushforward measure, by the map obtained by pairing together the given random variables, of the sample space's probability...

numbers. Equivalently, a set is countable if there exists an injective function from it into the natural numbers; this means that each element in the set...

In mathematics, the graph of a function f {\displaystyle f} is the set of ordered pairs ( x , y ) {\displaystyle (x,y)} , where f ( x ) = y . {\displaystyle...

A hash function is any function that can be used to map data of arbitrary size to fixed-size values, though there are some hash functions that support...

In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept...

they shared the 1972 Nobel Prize. Although Cooper pairing is a quantum effect, the reason for the pairing can be seen from a simplified classical explanation...

elementary pairing function, and π 1 , π 2 {\displaystyle \pi _{1},\pi _{2}} be its projection functions for inversion. Theorem: Any function constructible...

projections of the ordered pair. Cartesian products and binary relations (and hence functions) are defined in terms of ordered pairs, cf. picture. Let ( a...

byte 0x12 is sent before byte 0x34. Function code is 1 byte which gives the code of the function to execute. Function codes are integer values, ranging...

can recognize specific base-pairing patterns that identify particular regulatory regions of genes. Intramolecular base pairs can occur within single-stranded...

A sigmoid function is a function whose graph follows the logistic function. It is defined by the formula: σ ( x ) = 1 1 + e − x = e x 1 + e x = 1 − σ (...

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

mathematics, a real-valued function is called convex if the line segment between any two distinct points on the graph of the function lies above or on the graph...

(mathematics) Epsilon numbers (mathematics) Factorial number system Pairing function Transfinite number List of things named after Georg Cantor Grattan-Guinness...

Fueter and George Pólya, states that the only quadratic polynomial pairing functions are the Cantor polynomials. In 1873, Georg Cantor showed that the...

cells have very tightly regulated homologous pairing (separated into chromosomal territories, and pairing at specific loci under control of developmental...