Last Updated:2025/11/22
Sentence

波動の伝播を研究する際、数学者はしばしば双曲多項式を解析して、p(x - t e) = 0がtの関数として実根のみを持つかどうかを調べる。

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When studying wave propagation, mathematicians sometimes analyze a hyperbolic polynomial to determine whether p(x-te) = 0 has only real roots as a function of t.

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When studying wave propagation, mathematicians sometimes analyze a hyperbolic polynomial to determine whether p(x-te) = 0 has only real roots as a function of t.

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Related words

hyperbolic polynomial

Noun
Japanese Meaning
(数学)実数係数かつ多変数の斉次多項式 p(x) に対し、ある特定の方向 e に沿って p(x – t·e) = 0 と置いたとき、変数 t に関する方程式の全ての根が実数である場合、その多項式を『hyperbolic polynomial』、すなわち双曲多項式と呼ぶ。
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波動の伝播を研究する際、数学者はしばしば双曲多項式を解析して、p(x - t e) = 0がtの関数として実根のみを持つかどうかを調べる。

Related Words

plural

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