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primitivity

primitivity

9.9
A polynomial whose numbers in front of each power share no factor greater than 1
  • noun
  • /ˌprɪmɪˈtɪvɪti/
  • Specialized
translation icon : primitividad
  • Ensuring primitivity is important when simplifying polynomials in number theory.

Examples

  • The software automatically checks for primitivity in all input polynomials.

  • The primitivity of the polynomial is crucial for its analysis.

  • The mathematician verified the primitivity of the equation before proceeding with the proof.

  • Can you explain the concept of primitivity in this context?

  • The mathematician verified the primitivity of the polynomial to ensure accurate calculations.

  • Ensuring primitivity is crucial for determining the irreducibility of the polynomial.

  • The software includes a feature that checks for primitivity in all submitted polynomial equations.

Surface Forms

primitivity singular
primitivities plural

Morphology

primitivity = primitive (opaque) = primitive + ity

The noun is formed from 'primitive' + '-ity', but the mathematical sense of 'primitive' (coefficients with no common factor greater than 1) is a specialized technical meaning not inferable from the general adjective.

Etymology

Primitivity comes from the Latin root prim- meaning 'first', the same root as in prime. In polynomials, primitivity means the coefficients do not share a common factor greater than 1, like numbers that are 'prime', so the polynomial is in its simplest, 'first' form.