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- Homogeneous_polynomial abstract "In mathematics, a homogeneous polynomial is a polynomial whose nonzero terms all have the same degree. For example, is a homogeneous polynomial of degree 5, in two variables; the sum of the exponents in each term is always 5. The polynomial is not homogeneous, because the sum of exponents does not match from term to term. A polynomial is homogeneous if and only if it defines a homogeneous function An algebraic form, or simply form, is a function defined by a homogeneous polynomial. A binary form is a form in two variables. A form is also a function defined on a vector space, which may be expressed as a homogeneous function of the coordinates any basis).A polynomial of degree 0 is always homogeneous; it is simply an element of the field or ring of the coefficients, usually called a constant or a scalar. A form of degree 1 is a linear form. A form of degree 2 is a quadratic form. In geometry, the Euclidean distance is the square root of quadratic form.Homogeneous polynomials are ubiquitous in mathematics and physics. They play a fundamental role in algebraic geometry, as a projective algebraic variety is defined as the set of the common zeros of a set of homogeneous polynomials.".
- Homogeneous_polynomial wikiPageID "1698977".
- Homogeneous_polynomial wikiPageRevisionID "604270129".
- Homogeneous_polynomial hasPhotoCollection Homogeneous_polynomial.
- Homogeneous_polynomial title "Homogeneous Polynomial".
- Homogeneous_polynomial urlname "HomogeneousPolynomial".
- Homogeneous_polynomial subject Category:Algebraic_geometry.
- Homogeneous_polynomial subject Category:Homogeneous_polynomials.
- Homogeneous_polynomial subject Category:Multilinear_algebra.
- Homogeneous_polynomial comment "In mathematics, a homogeneous polynomial is a polynomial whose nonzero terms all have the same degree. For example, is a homogeneous polynomial of degree 5, in two variables; the sum of the exponents in each term is always 5. The polynomial is not homogeneous, because the sum of exponents does not match from term to term. A polynomial is homogeneous if and only if it defines a homogeneous function An algebraic form, or simply form, is a function defined by a homogeneous polynomial.".
- Homogeneous_polynomial label "Homogene veelterm".
- Homogeneous_polynomial label "Homogeneous polynomial".
- Homogeneous_polynomial label "Homogenes Polynom".
- Homogeneous_polynomial label "Polinomio homogéneo".
- Homogeneous_polynomial label "Polinômio homogêneo".
- Homogeneous_polynomial label "Polynôme homogène".
- Homogeneous_polynomial label "Однородный многочлен".
- Homogeneous_polynomial label "متعددة حدود متجانسة".
- Homogeneous_polynomial label "齊次多項式".
- Homogeneous_polynomial sameAs Homogenes_Polynom.
- Homogeneous_polynomial sameAs Polinomio_homogéneo.
- Homogeneous_polynomial sameAs Polynôme_homogène.
- Homogeneous_polynomial sameAs 동차다항식.
- Homogeneous_polynomial sameAs Homogene_veelterm.
- Homogeneous_polynomial sameAs Polinômio_homogêneo.
- Homogeneous_polynomial sameAs m.05pbbb.
- Homogeneous_polynomial sameAs Q1474074.
- Homogeneous_polynomial sameAs Q1474074.
- Homogeneous_polynomial wasDerivedFrom Homogeneous_polynomial?oldid=604270129.
- Homogeneous_polynomial isPrimaryTopicOf Homogeneous_polynomial.