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Wikipedia definition
1. Regular cardinalIn set theory, a regular cardinal is a cardinal number that is equal to its own cofinality. So, crudely speaking, a regular cardinal is one which cannot be broken into a smaller collection of smaller parts. If the axiom of choice holds (so that any cardinal number can be well-ordered), an infinite cardinal is regular if and only if it cannot be expressed as the cardinal sum of a set of cardinality less than, the elements of which are cardinals less than .
Read “Regular cardinal” on English Wikipedia
Read “正則基数” on Japanese Wikipedia
Read “Regular cardinal” on DBpedia

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