- free polynomial
- мат.свободный многочлен
English-Russian scientific dictionary. 2008.
free polynomial
Смотреть что такое "free polynomial" в других словарях:
Square-free polynomial — In mathematics, a square free polynomial is a polynomial with no square factors, i.e, f in F [x] is square free if and only if b^2 mid f for every b in F [x] with non zero degree. This definition implies that no factors of higher order can exist … Wikipedia
Polynomial matrix — Not to be confused with matrix polynomial. A polynomial matrix or sometimes matrix polynomial is a matrix whose elements are univariate or multivariate polynomials. A λ matrix is a matrix whose elements are polynomials in λ. A univariate… … Wikipedia
Polynomial ring — In mathematics, especially in the field of abstract algebra, a polynomial ring is a ring formed from the set of polynomials in one or more variables with coefficients in another ring. Polynomial rings have influenced much of mathematics, from the … Wikipedia
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
Free algebra — This article is about free algebras in ring theory. For the more general free algebras in universal algebra, see free object. In mathematics, especially in the area of abstract algebra known as ring theory, a free algebra is the noncommutative… … Wikipedia
Polynomial factorization — In mathematics and computer algebra, polynomial factorization typically refers to factoring a polynomial into irreducible polynomials over a given field. Formulation of the questionOther factorizations, such as square free factorization exist,… … Wikipedia
Polynomial code — In coding theory, a polynomial code is a type of linear code whose set of valid code words consists of those polynomials (usually of some fixed length) that are divisible by a given fixed polynomial (of shorter length, called the generator… … Wikipedia
Polynomial expression — In mathematics, and in particular in the field of algebra, a polynomial expression in one or more given entities E 1, E 2, ..., is any meaningful expression constructed from copies of those entities together with (usually numeric) constants,… … Wikipedia
Free Lie algebra — In mathematics, a free Lie algebra, over a given field K, is a Lie algebra generated by a set X, without any imposed relations. Contents 1 Definition 2 Universal enveloping algebra 3 Hall sets … Wikipedia
Free ideal ring — In mathematics, especially in the field of ring theory, a (left) free ideal ring, or fir, is a ring in which all left ideals are free of unique rank. A ring such that all left ideals with at most n generators is free of unique rank is called an n … Wikipedia
Square-free — In mathematics, an element r of a unique factorization domain R is called square free if it is not divisible by a non trivial square. That is, every s such that s^2mid r is a unit of R .Square free elements may be also characterized using their… … Wikipedia
