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单词 NormalordinalFunction
释义

normal (ordinal) function


Definition.

A functionMathworldPlanetmath F:𝐎𝐧𝐎𝐧 is continuousMathworldPlanetmath if and only if for each u𝐎𝐧 such that u it holds that F(sup(u))=sup{F(α)|αu}.

Definition.

A function F:𝐎𝐧𝐎𝐧 is order preserving if and only if for each α,β𝐎𝐧 such that α<β it follows that F(α)<F(β).

Definition.

A function F:𝐎𝐧𝐎𝐧 is a normal function if and only if F is continuous and order preserving.

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更新时间:2025/5/4 12:53:31