The cardinality of this set can be shown to be countable by creating an isomorphism ("eye"-soh-MOR-fism) using the functions 2 x+1 and two times the absolute value of x. The elements in this set are all of the possible outputs of the ceiling and floor functions, which have alternative names that include this set. This set, sometimes represented by a double-struck Z, is a subset of the rational num
The cardinality of this set can be shown to be countable by creating an isomorphism ("eye"-soh-MOR-fism) using the functions 2 x+1 and two times the absolute value of x. The elements in this set are all of the possible outputs of the ceiling and floor functions, which have alternative names that include this set. This set, sometimes represented by a double-struck Z, is a subset of the rational numbers and contains the natural numbers. Name this set which consists of the union of zero, counting numbers, and the additive inverses of counting numbers.
The cardinality of this set can be shown to be countable by creating an isomorphism ("eye"-soh-MOR-fism) using the functions 2