Ultrapolynomial

adj, noun

adj, noun ·Rare ·Advanced level

Definitions

Noun
  1. 1
    A power series in several variables P:Kᵈ→K (with K a field) of the form P(x)=Σ_(α∈ℕᵈ)c_αx^α whose coefficients are bounded in some specific sense. rare

    "There exists an ultrapolynomial P(z) of class #92;left(M#95;p#92;right) (resp. of class #92;left#92;#123;M#95;p#92;right#92;#125;) such that P does not vanish on #92;mathbb#123;R#125;ᵈ and satisfies the following estimate:"

Adjective
  1. 1
    Relating to ultrapolynomials. not-comparable

Example

More examples

"There exists an ultrapolynomial P(z) of class #92;left(M#95;p#92;right) (resp. of class #92;left#92;#123;M#95;p#92;right#92;#125;) such that P does not vanish on #92;mathbb#123;R#125;ᵈ and satisfies the following estimate:"

Etymology

From ultra- + polynomial.

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.