"ultrapolynomial" meaning in English

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  "etymology_text": "ultra- + polynomial",
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      "form": "ultrapolynomials",
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  "lang_code": "en",
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        {
          "ref": "2015, Stevan Pilipovic, Bojan Prangoski, Jasson Vindas, “On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution”, in arXiv",
          "text": "There exists an ultrapolynomial P(z) of class #x5C;left(M#x5F;p#x5C;right) (resp. of class #x5C;left#x5C;#x7B;M#x5F;p#x5C;right#x5C;#x7D;) such that P does not vanish on #x5C;mathbb#x7B;R#x7D;ᵈ and satisfies the following estimate:",
          "type": "quotation"
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      "glosses": [
        "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."
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        "(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."
      ],
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        "rare"
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  ],
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    "ultrapolynomial"
  ],
  "word": "ultrapolynomial"
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  "etymology_text": "ultra- + polynomial",
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        "Relating to ultrapolynomials."
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        "not-comparable"
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          "text": "There exists an ultrapolynomial P(z) of class #x5C;left(M#x5F;p#x5C;right) (resp. of class #x5C;left#x5C;#x7B;M#x5F;p#x5C;right#x5C;#x7D;) such that P does not vanish on #x5C;mathbb#x7B;R#x7D;ᵈ and satisfies the following estimate:",
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        "(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."
      ],
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