べき級きゅう数すう

べ

き

きゅ

う

す

う

Meanings

1

noun

power series

mathematics

Mathematical term for an infinite series of the form Σ a_n (x - c)^n.

関かん数すうをべき級きゅう数すうに展てん開かいする。
Expand the function into a power series.

べき級きゅう数すうの収しゅう束そく半はん径けいを求もとめる。

Find the radius of convergence of the power series.

Kanji

級class, rank, grade
数number, strength, fate
冪power, exponent
羃power, exponent

Related words

テイラー級きゅう数すう
A Taylor series is a specific type of power series that represents a function as an infinite sum of terms calculated from the values of its derivatives at a single point.
マクローリン級きゅう数すう
A Maclaurin series is a Taylor series expansion of a function about 0, i.e., a power series with c = 0.

Written forms

べき級きゅう数すう
Standard modern kanji spelling for 'power series'.
冪べき級きゅう数すう
Older variant using the kanji 冪, which is not in the Jōyō kanji list. Rarely seen in modern texts.
羃べき級きゅう数すう
Archaic variant using the kanji 羃. Extremely rare.

Etymology

From べき (冪, 'power') + 級数 (きゅうすう, 'series'). The kanji 冪 is an older form for 'power' in mathematics, now commonly replaced by the kana べき in modern usage.