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...

cryptocurrency uses BLS12-381. Pairing-based cryptography Dan Boneh; Ben Lynn & Hovav Shacham (2004). "Short Signatures from the Weil Pairing". Journal of Cryptology...

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

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...

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...

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...

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...

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

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...

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

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...

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...

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

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...

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...

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...

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...

traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is...

Tuples as sets of ordered pairs Functions are commonly identified with their graphs, which is a certain set of ordered pairs. Indeed, many authors use...

PC Magazine, remarking favorably on its design, volume and stereo pairing function. He noted that there was emphasis on the low-midrange tones. Greenwald...

infinite pseudo-intersection. P 1.  The powerset function 2.  A poset pairing function A pairing function is a bijection from X×X to X for some set X pairwise...

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...

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

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

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

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

In mathematics a Steinberg symbol is a pairing function which generalises the Hilbert symbol and plays a role in the algebraic K-theory of fields. It is...

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...