ultrapolynomial

Word Rarity Very rare

Frequency: Zipf frequency 0.00 in modern English

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Meaning

noun

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.

adj

"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:"

From ultra- + polynomial.

ultrapolynomials (plural)

ultrapolynomially

Questions

What does ultrapolynomial mean?

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.

Where does ultrapolynomial come from?

From ultra- + polynomial.

How to pronounce ultrapolynomial

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