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Homogeneous polynomial

In mathematics, a homogeneous polynomial, sometimes called quantic in older texts, is a polynomial whose nonzero terms all have the same degree. For example, x 5 + 2 x 3 y 2 + 9 x y 4 {\displaystyle x^{5}+2x^{3}y^{2}+9xy^{4}} is a homogeneous polynomial of degree 5, in two variables; the sum of the exponents in each term is always 5. The polynomial x 3 +…

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Homogeneous polynomial

Nodes31
Edges30
Triples11
Avg. degree1.94
Density0.064516
Components1

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Homogeneous polynomial

Top relations

related to External links · 6
Homogeneous polynomial → Eric, Homogeneous, MathWorld, Media, Wikimedia CommonsWeisstein, Wiktionary-logo-en-v2
related to Properties · 2
Homogeneous polynomial → Conversely, This
see also · 2
Homogeneous polynomial → Hilbert, Multi-homogeneous
related to Homogenization · 1
Homogeneous polynomial → For

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Important terminology

homogeneous polynomial degree form displaystyle defined function polynomials sum always called variables algebraic field ring coefficients mathematics geometry nonzero vector

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Homogeneous polynomialrelated to External linksWiktionary-logo-en-v20.60section
Homogeneous polynomialrelated to External linksMedia0.60section
Homogeneous polynomialrelated to External linksHomogeneous0.60section
Homogeneous polynomialrelated to External linksWikimedia CommonsWeisstein0.60section
Homogeneous polynomialrelated to External linksEric0.60section
Homogeneous polynomialrelated to External linksMathWorld0.60section
Homogeneous polynomialrelated to HomogenizationFor0.60section
Homogeneous polynomialrelated to PropertiesThis0.60section
Homogeneous polynomialrelated to PropertiesConversely0.60section
Homogeneous polynomialsee alsoMulti-homogeneous0.60section
Homogeneous polynomialsee alsoHilbert0.60section

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