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A BLS digital signature, also known as Boneh–Lynn–Shacham [1] (BLS), is a cryptographic signature scheme which allows a user to verify that a signer is authentic.. The scheme uses a bilinear pairing:, where ,, and are elliptic curve groups of prime order , and a hash function from the message space into .
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]
There is a class D such that any class C is a member of D if and only if C is a set that satisfies P. provided that the quantifiers in the predicate P are restricted to sets. This theorem schema is itself a restricted form of comprehension, which avoids Russell's paradox because of the requirement that C be a set.
2024 Israeli invasion of Lebanon. At least 40 people, including several children, are killed in Israeli airstrikes on several cities in Lebanon. Boko Haram insurgency. Fifteen Chad National Army soldiers are killed and 32 others are wounded in clashes with Boko Haram militants near Lake Chad. At least 96 Boko Haram militants are killed and 11 ...
In mathematics, intersection theory is one of the main branches of algebraic geometry, where it gives information about the intersection of two subvarieties of a given variety. [1] The theory for varieties is older, with roots in Bézout's theorem on curves and elimination theory. On the other hand, the topological theory more quickly reached a ...
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In multilinear algebra, a tensor contraction is an operation on a tensor that arises from the canonical pairing of a vector space and its dual.In components, it is expressed as a sum of products of scalar components of the tensor(s) caused by applying the summation convention to a pair of dummy indices that are bound to each other in an expression.
In mathematics (more specifically, in homological algebra), group cohomology is a set of mathematical tools used to study groups using cohomology theory, a technique from algebraic topology. Analogous to group representations , group cohomology looks at the group actions of a group G in an associated G -module M to elucidate the properties of ...