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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.
Also, is the smallest uncountable ordinal (to see that it exists, consider the set of equivalence classes of well-orderings of the natural numbers; each such well-ordering defines a countable ordinal, and is the order type of that set), is the smallest ordinal whose cardinality is greater than , and so on, and is the limit of for natural ...
In written languages, an ordinal indicator is a character, or group of characters, following a numeral denoting that it is an ordinal number, rather than a cardinal number. Historically these letters were "elevated terminals", that is to say the last few letters of the full word denoting the ordinal form of the number displayed as a superscript .
[5] [a] User-end support was quite poor for a number of years, but fonts, browsers, [b] word processors, [c] desktop publishing software [d] and others increasingly support the intended Unicode behavior. A selection of supporting fonts is displayed in the table below.
Masculine ordinal indicator: Feminine ordinal indicator, Degree sign: −: Minus sign: Hyphen-minus, Commercial minus: ×: Multiplication sign: X mark # Number sign: Numero sign. Also known as "octothorpe", "hash" and "hashtag sign" Pound sign № Numero sign: Number sign: Obelus: Division sign, Dagger, Commercial minus, Index ( ) Parenthesis ...
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The set C(α, β) is defined by induction on α to be the set of ordinals that can be generated from 0, ω 1, ω 2, ..., ω ω, together with the ordinals less than β by the operations of ordinal addition and the functions θ ξ for ξ<α. And the function θ γ is defined to be the function enumerating the ordinals δ with δ∉C(γ,δ). The ...
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