congruence relation

  • 51Rational number — In mathematics, a rational number is any number that can be expressed as the quotient or fraction a/b of two integers, with the denominator b not equal to zero. Since b may be equal to 1, every integer is a rational number. The set of all… …

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  • 52RSA — In cryptography, RSA is an algorithm for public key cryptography. It is the first algorithm known to be suitable for signing as well as encryption, and one of the first great advances in public key cryptography. RSA is widely used in electronic… …

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  • 53Quotient ring — In mathematics a quotient ring, also known as factor ring or residue class ring, is a construction in ring theory, quite similar to the factor groups of group theory and the quotient spaces of linear algebra. One starts with a ring R and a two… …

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  • 54Block (group theory) — In mathematics and group theory, a block system for the action of a group G on a set X is a partition of X that is G invariant. In terms of the associated equivalence relation on X , G invariance means that : x ≡ y implies gx ≡ gy for all g in G… …

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  • 55Equation — This article is about equations in mathematics. For the chemistry term, see chemical equation. The first use of an equals sign, equivalent to 14x+15=71 in modern notation. From The Whetstone of Witte by Robert Recorde (1557). An equation is a… …

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  • 56List of abstract algebra topics — Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. The phrase abstract algebra was coined at the turn of the 20th century to distinguish this …

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  • 57Lucas number — The Lucas numbers are an integer sequence named after the mathematician François Édouard Anatole Lucas (1842 ndash;1891), who studied both that sequence and the closely related Fibonacci numbers (both are Lucas sequences). Like the Fibonacci… …

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  • 58Hecke operator — In mathematics, in particular in the theory of modular forms, a Hecke operator, studied by Hecke (1937), is a certain kind of averaging operator that plays a significant role in the structure of vector spaces of modular forms and more… …

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  • 59Simple algebra — In mathematics, specifically in ring theory, an algebra is simple if it contains no non trivial two sided ideals and the set { ab | a , b are elements of the algebra} ne; {0}.The second condition in the definition precludes the following… …

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  • 60 — The symbol ≡ is used in mathematics with several different meanings: * identity (mathematics), identity of two mathematical expressions * logical biconditional (if and only if) in logic * congruence relation in algebraSee also: * Qián, the… …

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