- homogeneous polynomial
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a polynomial such that the sum of the exponents of the variables is the same for every term.
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homogeneous polynomial
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Homogeneous polynomial — In mathematics, a homogeneous polynomial is a polynomial whose terms are monomials all having the same total degree; or are elements of the same dimension. For example, x^5 + 2 x^3 y^2 + 9 x^1 y^4 is a homogeneous polynomial of degree 5, in two… … Wikipedia
homogeneous polynomial — vienalytis daugianaris statusas T sritis fizika atitikmenys: angl. homogeneous polynomial vok. homogenes Polynom, n rus. однородный полином, m pranc. polynôme homogène, m … Fizikos terminų žodynas
homogeneous polynomial — noun a polynomial consisting of terms all of the same degree • Hypernyms: ↑polynomial, ↑multinomial • Hyponyms: ↑quantic … Useful english dictionary
Homogeneous — Ho mo*ge ne*ous, a. [Gr. ?; ? the same + ? race, kind: cf. F. homog[ e]ne. See {Same}, and {Kin}.] 1. Of the same kind of nature; consisting of similar parts, or of elements of the like nature; opposed to heterogeneous; as, homogeneous particles … The Collaborative International Dictionary of English
Homogeneous coordinate system — A homogeneous coordinate system is a coordinate system in which there is an extra dimension, used most commonly in computer science to specify whether the given coordinates represent a vector (if the last coordinate is zero) or a point (if the… … Wikipedia
Homogeneous function — In mathematics, a homogeneous function is a function with multiplicative scaling behaviour: if the argument is multiplied by a factor, then the result is multiplied by some power of this factor.Formal definitionSuppose that f: V arr W qquadqquad… … Wikipedia
Homogeneous (mathematics) — In mathematics, homogeneous may refer to:*Homogeneous polynomial, in algebra *Homogeneous function *Homogeneous equation, in particular: Homogeneous differential equation *Homogeneous system of linear equations, in linear algebra *Homogeneous… … Wikipedia
homogeneous function — noun a) homogeneous polynomial b) the ratio of two homogeneous polynomials, such that the sum of the exponents in a term of the numerator is equal to the sum of the exponents in a term of the denominator … Wiktionary
homogeneous function — homogeneous function, Mathematics. a polynomial in two or more variables, all the terms being of the same degree … Useful english dictionary
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
