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The statement that this is the only quadratic pairing function is known as the Fueter–Pólya theorem. [9] Whether this is the only polynomial pairing function is still an open question. When we apply the pairing function to k 1 and k 2 we often denote the resulting number as k 1, k 2 . [citation needed]
In mathematics, Grothendieck's six operations, named after Alexander Grothendieck, is a formalism in homological algebra, also known as the six-functor formalism. [1] It originally sprang from the relations in étale cohomology that arise from a morphism of schemes f : X → Y.
The Weil pairing is an important concept in elliptic curve cryptography; e.g., it may be used to attack certain elliptic curves (see MOV attack). It and other pairings have been used to develop identity-based encryption schemes.
In mathematics, K-theory is, roughly speaking, the study of a ring generated by vector bundles over a topological space or scheme.In algebraic topology, it is a cohomology theory known as topological K-theory.
“According to The Conference Board Holiday Spending Survey, the average US consumer intends to spend $1,063 in nominal terms on holiday-related purchases in 2024, up 7.9% from $985 in 2023.
In mathematics, specifically algebraic geometry, a scheme is a structure that enlarges the notion of algebraic variety in several ways, such as taking account of multiplicities (the equations x = 0 and x 2 = 0 define the same algebraic variety but different schemes) and allowing "varieties" defined over any commutative ring (for example, Fermat curves are defined over the integers).
The Supreme Court is allowing a multibillion-dollar class action investors’ lawsuit to proceed against Facebook parent Meta, stemming from the privacy scandal involving the Cambridge Analytica ...
November 9, 2024 at 8:27 AM. 1 / 4. Emirates Abu Dhabi Championship Golf. Rory McIlroy of Northern Ireland tees off at the 1st hole during the third round of Abu Dhabi Golf Championship in Abu ...