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...

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...

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...

In addition to the canonical Watson–Crick pairing (A•T/U G•C), some conditions can also favour base-pairing with alternative base orientation, and number...

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...

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

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

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

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...

A × B under the Cantor pairing function is computable. In general, the image of a computable set under a computable function is computably enumerable...

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...

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...

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

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...

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

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

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

a Wilf–Zeilberger pair, or WZ pair, is a pair of functions that can be used to certify certain combinatorial identities. WZ pairs are named after Herbert...

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 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}...

wobble base pair is illustrated through experimentation where the Guanine-Uracil pairing is changed to its natural Guanine-Cytosine pairing. Oligoribonucleotides...

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

complicated application process. The tradition of au pairing is well established in Austria, and prospective au pairs are served by several agencies that are accustomed...

the image of a function that has the set of the n first natural numbers as its domain. Tuples may be also defined from ordered pairs by a recurrence...

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...

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

required: first, an ordered pair (n,m) is treated as a single number using a fixed primitive recursive pairing function; second, for each natural number...