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Pronunciation varies by accent · noun
(mathematics, rare) 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..
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:
Use ultrapolynomial when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Ultrapolynomial means (mathematics, rare) 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..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
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:
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