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polynomial irreducibility

См. также в других словарях:

  • Polynomial — In mathematics, a polynomial (from Greek poly, many and medieval Latin binomium, binomial [1] [2] [3], the word has been introduced, in Latin, by Franciscus Vieta[4]) is an expression of finite length constructed from variables (also known as… …   Wikipedia

  • Irreducible polynomial — In mathematics, the adjective irreducible means that an object cannot be expressed as a product of at least two non trivial factors in a given set. See also factorization. For any field F , the ring of polynomials with coefficients in F is… …   Wikipedia

  • Cohn's irreducibility criterion — Arthur Cohn s irreducibility criterion is a test to determine whether a polynomial is irreducible in . The criterion is often stated as follows: If a prime number p is expressed in base 10 as (where ) then the polynomial is irreducible in …   Wikipedia

  • Hilbert's irreducibility theorem — In mathematics, Hilbert s irreducibility theorem, conceived by David Hilbert, states that an irreducible polynomial in two variables and having rational number coefficients will remain irreducible as a polynomial in one variable, when a rational… …   Wikipedia

  • irreducible — irreducibility, irreducibleness, n. irreducibly, adv. /ir i dooh seuh beuhl, dyooh /, adj. 1. not reducible; incapable of being reduced or of being diminished or simplified further: the irreducible minimum. 2. incapable of being brought into a… …   Universalium

  • Inverse Galois problem — In mathematics, the inverse Galois problem concerns whether or not every finite group appears as the Galois group of some Galois extension of the rational numbers Q. This problem, first posed in the 19th centuryFact|date=February 2007, is… …   Wikipedia

  • Perron–Frobenius theorem — In linear algebra, the Perron–Frobenius theorem, proved by Oskar Perron (1907) and Georg Frobenius (1912), asserts that a real square matrix with positive entries has a unique largest real eigenvalue and that the corresponding… …   Wikipedia

  • Thin set (Serre) — In mathematics, a thin set in the sense of Serre is a certain kind of subset constructed in algebraic geometry over a given field K , by allowed operations that are in a definite sense unlikely . The two fundamental ones are: solving a polynomial …   Wikipedia

  • Field (mathematics) — This article is about fields in algebra. For fields in geometry, see Vector field. For other uses, see Field (disambiguation). In abstract algebra, a field is a commutative ring whose nonzero elements form a group under multiplication. As such it …   Wikipedia

  • Geometric invariant theory — In mathematics Geometric invariant theory (or GIT) is a method for constructing quotients by group actions in algebraic geometry, used to construct moduli spaces. It was developed by David Mumford in 1965, using ideas from the paper… …   Wikipedia

  • List of mathematics articles (H) — NOTOC H H cobordism H derivative H index H infinity methods in control theory H relation H space H theorem H tree Haag s theorem Haagerup property Haaland equation Haar measure Haar wavelet Haboush s theorem Hackenbush Hadamard code Hadamard… …   Wikipedia

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