homogeneous polynomial meaning

WHomogeneous polynomial
  • 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.
  • 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.
  • 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.
  • Part-of-Speech Hierarchy
    1. Nouns
      • Countable nouns
    Related Links:
    1. en homogeneous polynomials
    Source: Wiktionary
     0 0

    Meaning of homogeneous polynomial for the defined word.

    Grammatically, this idiom "homogeneous polynomial" is a noun, more specifically, a countable noun.
    Definiteness: Level 1
    Definite    ➨     Versatile