Last Updated :2025/12/03

formal power series

Noun
Japanese Meaning
数学(代数学)において、formal power series(形式的冪級数)とは、係数が数であり、xに具体的な値は代入されない前提で、a₀ + a₁x + a₂x² + … という形の有限または無限の級数を指す。
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形式冪級数、すなわち a_0 + a_1 x + a_2 x^2 + ... の形をした級数は、係数 a_i を数とし x に具体的な値を代入せずに代数的に扱われる。

plural

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(mathematics, algebra) Any finite or infinite series of the form a_0+a_1x+a_2x²…=∑ᵢa_ixⁱ, where the aᵢ are numbers, but it is understood that no value is assigned to x.

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formal power series

A formal power series, like a_0 + a_1 x + a_2 x2 + ···, is studied algebraically without assigning any value to x.

See correct answer

A formal power series, like a_0 + a_1 x + a_2 x2 + ···, is studied algebraically without assigning any value to x.

音声機能が動作しない場合はこちらをご確認ください

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