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Ordinal numbers may be written in English with numerals and letter suffixes: 1st, 2nd or 2d, 3rd or 3d, 4th, 11th, 21st, 101st, 477th, etc., with the suffix acting as an ordinal indicator. Written dates often omit the suffix, although it is nevertheless pronounced.
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
An example is the function that relates each real number x to its square x 2. The output of a function f corresponding to an input x is denoted by f(x) (read "f of x"). In this example, if the input is −3, then the output is 9, and we may write f(−3) = 9. The input variable(s) are sometimes referred to as the argument(s) of the function.
In the United States (U.S.), grades traditionally begin at 1 and run to 12; they are referred to by ordinal number (e.g., first grade or 1st grade). An additional preceding level called kindergarten ("K") is now standard in most areas, and a further preceding level called preschool education or nursery school is not uncommon.
When indicating dates, suffixes are never used. Examples: 1:a klass "first grade (in elementary school)", 3:e utgåvan "third edition", but 6 november. Furthermore, suffixes can be left out if the number obviously is an ordinal number, example: 3 utg. "3rd ed".
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