Last Updated:2025/11/28
Sentence

非標準解析では、濾過される集合のすべての余有限部分集合を含む超フィルターが自然数上で超実数を構成するために用いられる。

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In nonstandard analysis, a free ultrafilter on the natural numbers is used to construct the hyperreal numbers.

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In nonstandard analysis, a free ultrafilter on the natural numbers is used to construct the hyperreal numbers.

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Related words

free ultrafilter

Noun
Japanese Meaning
数学解析(特に非標準解析)において、対象となる集合の全ての余有限部分集合を含む超濾過。すなわち、特定の一点に依存しない(非自明な)超濾過のことを指す。
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非標準解析では、濾過される集合のすべての余有限部分集合を含む超フィルターが自然数上で超実数を構成するために用いられる。

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plural

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