Integer If the domain is restricted to then each and every member of has one and only one corresponding member of N and by the definition of cardinal equality the two sets have equal cardinality. Integer An integer (from the Latin "integer" meaning "whole") is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, , and are not. The set of integers consists of zero (), the positive natural numbers (, , , …), also called "whole numbers" or "counting numbers", and their additive inverses (the negative integers, i.e.,
Integer triangle 2"n" − 3. Thus there is no integer triangle with perimeter 1, 2 or 4, one with perimeter 3, 5, 6 or 8, and two with perimeter 7 or 10. The sequence of the number of integer triangles with perimeter "p", starting at "p" = 1, is: The number of integer triangles (up to congruence) with given largest side "c" and integer triple ("a", "b", "c") is the number of integer triples such that "a" + "b" > "c" and "a" ≤ "b" ≤ "c". This is the integer value Ceiling[] * Floor[]. Alternatively, for "c" even it is the