Last Updated:2025/12/05
Sentence

ε数とは ω^α = α を満たす(必ず超限の)順序数 α のことであり、その研究は順序数の累乗に関する深い性質を明らかにする。

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An epsilon number is an ordinal α such that ωα = α, and its study reveals deep properties of ordinal exponentiation.

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An epsilon number is an ordinal α such that ωα = α, and its study reveals deep properties of ordinal exponentiation.

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Related words

epsilon number

Noun
Japanese Meaning
セット理論において、ω^α = α を満たす(必然的に超限の)順序数としてのイプシロン数 / 一般化して、指数写像 x → ωˣ の不動点となる超実数あるいは超順序数としてのイプシロン数
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ε数とは ω^α = α を満たす(必ず超限の)順序数 α のことであり、その研究は順序数の累乗に関する深い性質を明らかにする。

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plural

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