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Ordinal indicator – Character(s) following an ordinal number (used when writing ordinal numbers, such as a super-script) Ordinal number – Generalization of "n-th" to infinite cases (the related, but more formal and abstract, usage in mathematics) Ordinal data, in statistics; Ordinal date – Date written as number of days since first day of ...
In set theory, an ordinal number, or ordinal, is a generalization of ordinal numerals (first, second, n th, etc.) aimed to extend enumeration to infinite sets. [ 1 ] A finite set can be enumerated by successively labeling each element with the least natural number that has not been previously used.
As year and day elements in Hungarian are ordinal numbers, they are followed by a dot. However, unless a suffix is added, they are said as cardinal numbers. Also note that stacking of symbols when writing in Hungarian is considered a bad practice, therefore when a suffix is attached to the date using a hyphen , the dot is omitted.
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The von Neumann cardinal assignment is a cardinal assignment that uses ordinal numbers. For a well-orderable set U, we define its cardinal number to be the smallest ordinal number equinumerous to U, using the von Neumann definition of an ordinal number. More precisely:
Ordinal indicator, the sign adjacent to a numeral denoting that it is an ordinal number; Ordinal number in set theory, a number type with order structures; Ordinal number (linguistics), a word representing the rank of a number; Ordinal scale, ranking things that are not necessarily numbers; Ordinal utility (economics): a utility function which ...
Regnal numbers are ordinal numbers used to distinguish among persons with the same name who held the same office. Most importantly, they are used to distinguish monarchs.An ordinal is the number placed after a monarch's regnal name to differentiate between a number of kings, queens or princes reigning the same territory with the same regnal name.
An infinite ordinal is a regular ordinal if it is a limit ordinal that is not the limit of a set of smaller ordinals that as a set has order type less than . A regular ordinal is always an initial ordinal , though some initial ordinals are not regular, e.g., ω ω {\displaystyle \omega _{\omega }} (see the example below).