Last Updated :2025/12/05

Baire function

Noun
Japanese Meaning
連続関数から出発し、関数列の逐点極限を取る操作を超限反復して得られる関数
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連続関数から点ごとの極限を取る操作を超限回繰り返して得られる関数は、しばしば連続関数の列の点ごとの極限として現れる。

plural

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(mathematics) A function obtained from a continuous function by transfinite iteration of the operation of forming pointwise limits of sequences of functions.

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Baire function

A Baire function often appears as the pointwise limit of a sequence of continuous functions constructed by transfinite iteration.

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A Baire function often appears as the pointwise limit of a sequence of continuous functions constructed by transfinite iteration.

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