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The Latin numerals are the words used to denote numbers within the Latin language. They are essentially based on their Proto-Indo-European ancestors, and the Latin cardinal numbers are largely sustained in the Romance languages. In Antiquity and during the Middle Ages they were usually represented by Roman numerals in writing.
Words in the cardinal category are cardinal numbers, such as the English one, two, three, which name the count of items in a sequence. The multiple category are adverbial numbers, like the English once , twice , thrice , that specify the number of events or instances of otherwise identical or similar items.
Cardinal and Ordinal Numbers is a book on transfinite numbers, by Polish mathematician Wacław Sierpiński. It was published in 1958 by Państwowe Wydawnictwo Naukowe , as volume 34 of the series Monografie Matematyczne of the Institute of Mathematics of the Polish Academy of Sciences .
The cardinal numbers have numerals. In the following tables, [and] indicates that the word and is used in some dialects (such as British English), and omitted in other dialects (such as American English). This table demonstrates the standard English construction of some cardinal numbers. (See next table for names of larger cardinals.)
Georgian, Latin, and Romanian are notable languages with distributive numerals; see Romanian distributive numbers. An example of this difference can be seen with the distributive number for 'one hundred'. While the cardinal number is 'centum', the distributive form is "centēnī,-ae, a".
A bijective function, f: X → Y, from set X to set Y demonstrates that the sets have the same cardinality, in this case equal to the cardinal number 4. Aleph-null, the smallest infinite cardinal. In mathematics, a cardinal number, or cardinal for short, is what is commonly called the number of elements of a set.
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In set theory, a regular cardinal is a cardinal number that is equal to its own cofinality. More explicitly, this means that κ {\displaystyle \kappa } is a regular cardinal if and only if every unbounded subset C ⊆ κ {\displaystyle C\subseteq \kappa } has cardinality κ {\displaystyle \kappa } .