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Cantor's work with derived sets and ordinal numbers led to the Cantor-Bendixson theorem. [14] Using successors, limits, and cardinality, Cantor generated an unbounded sequence of ordinal numbers and number classes. [15] The (α + 1)-th number class is the set of ordinals whose predecessors form a set of the same cardinality as the α-th
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 ...
Ordinal numbers such as 21st ... 20th, 23rd, 52nd, 135th, 301st. These ordinal abbreviations are actually hybrid contractions of a numeral and a word. 1st is "1 ...
Numbers may either precede or follow their noun (see Latin word order). Most numbers are invariable and do not change their endings: regnāvit Ancus annōs quattuor et vīgintī (Livy) [1] 'Ancus reigned for 24 years' However, the numbers 1, 2, 3, and 200, 300, etc. change their endings for gender and grammatical case.
The ordinal category are based on ordinal numbers such as the English first, second, third, which specify position of items in a sequence. In Latin and Greek, the ordinal forms are also used for fractions for amounts higher than 2; only the fraction 1 / 2 has special forms.
Ordinal numbers: Finite and infinite numbers used to describe the order type of well-ordered sets. Cardinal numbers : Finite and infinite numbers used to describe the cardinalities of sets . Infinitesimals : These are smaller than any positive real number, but are nonetheless greater than zero.
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 .
20 Mai 1999; 20fed Mai 1999 or 20 fed Mai 1999 (The suffix indicates an ordinal number, like "th" in English.) The month–day–year order (for example "Mai 20, 1999") was previously more common: it is usual to see a Welsh month–day–year date next to an English day–month–year date on a bilingual plaque from the latter half of the 20th ...