extra-algebraic

  • 51Integral domain — In abstract algebra, an integral domain is a commutative ring that has no zero divisors,[1] and which is not the trivial ring {0}. It is usually assumed that commutative rings and integral domains have a multiplicative identity even though this… …

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  • 52Addition — is the mathematical process of putting things together. The plus sign + means that two numbers are added together. For example, in the picture on the right, there are 3 + 2 apples meaning three apples and two other apples which is the same as… …

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  • 53Projective geometry — is a non metrical form of geometry, notable for its principle of duality. Projective geometry grew out of the principles of perspective art established during the Renaissance period, and was first systematically developed by Desargues in the 17th …

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  • 54XSL attack — In cryptography, the XSL attack is a method of cryptanalysis for block ciphers. The attack was first published in 2002 by researchers Nicolas Courtois and Josef Pieprzyk. It has caused some controversy as it was claimed to have the potential to… …

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  • 55Splitting of prime ideals in Galois extensions — In mathematics, the interplay between the Galois group G of a Galois extension L of a number field K, and the way the prime ideals P of the ring of integers OK factorise as products of prime ideals of OL, provides one of the richest parts of… …

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  • 56Discontinuous linear map — In mathematics, linear maps form an important class of simple functions which preserve the algebraic structure of linear spaces and are often used as approximations to more general functions (see linear approximation). If the spaces involved are… …

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  • 57List of first-order theories — In mathematical logic, a first order theory is given by a set of axioms in somelanguage. This entry lists some of the more common examples used in model theory and some of their properties. PreliminariesFor every natural mathematical structure… …

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  • 58Tannakian category — In mathematics, a tannakian category is a particular kind of monoidal category C , equipped with some extra structure relative to a given field K . The role of such categories C is to approximate, in some sense, the category of linear… …

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  • 59Milpitas Christian School — Motto Train a Child in the Way He Should Go, and in the End He Will Not Turn From It. Proverbs 22:6 Established 1974 Type Private School Affiliations ACSI WASC Accredited G …

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  • 60Compactification (mathematics) — In mathematics, compactification is the process or result of making a topological space compact.[1] The methods of compactification are various, but each is a way of controlling points from going off to infinity by in some way adding points at… …

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