pairing function

  • 1Pairing function — In 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 set theory to prove that integers and rational numbers have the same cardinality as natural… …

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  • 2Pairing-based cryptography — is the use of a pairing between elements of two groups to a third group to construct cryptographic systems. Usually the same group is used for the first two groups, making the pairing in fact a mapping from two elements from one group to an… …

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  • 3Computable function — Total recursive function redirects here. For other uses of the term recursive function , see Recursive function (disambiguation). Computable functions are the basic objects of study in computability theory. Computable functions are the formalized …

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  • 4Weil pairing — In mathematics, the Weil pairing is a construction of roots of unity by means of functions on an elliptic curve E , in such a way as to constitute a pairing (bilinear form, though with multiplicative notation) on the torsion subgroup of E . The… …

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  • 5Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …

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  • 6Origin and function of meiosis — Eukaryotes are organisms with a true nucleus in which the DNA genome is enclosed in a double membrane (e.g. fungi, protozoans, vertebrates, higher plants), in contrast to prokaryotes (bacteria and blue green algae) that lack a nuclear membrane.… …

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  • 7Gödel numbering for sequences — A Gödel numbering for sequences provides us an effective way to represent each finite sequence of natural numbers as a single natural number. Of course, the embedding is surely possible set theoretically, but the emphasis is on the effectiveness… …

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  • 8BLS (Cryptography) — In cryptography, the Boneh Lynn Shacham signature scheme allows a user to verify that a signer is authentic . The scheme uses a pairing function for verification and signatures are group elements in some elliptic curve. Working in an elliptic… …

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  • 9First-order logic — is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: first order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic (a less… …

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  • 10List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… …

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