set of non-negative integers

Summary

set of non-negative integers is a set of numbers^[1].

Key Facts

• set of non-negative integers's instance of is recorded as set of numbers^[2].
• set of non-negative integers's instance of is recorded as countably infinite set^[3].
• set of non-negative integers's instance of is recorded as commutative monoid^[4].
• set of non-negative integers's instance of is recorded as dioid^[5].
• set of non-negative integers's instance of is recorded as cancellative semigroup^[6].
• set of non-negative integers's instance of is recorded as integer interval^[7].
• set of non-negative integers is part of set of integers^[8].
• set of non-negative integers is part of class of cardinal numbers^[9].
• set of non-negative integers is part of set of non-negative real numbers^[10].
• set of non-negative integers's said to be the same as is recorded as aleph null^[11].
• set of non-negative integers is the opposite of set of negative integers^[12].
• set of non-negative integers is the opposite of set of non-positive integers^[13].
• set of non-negative integers's Unicode character is recorded as ℕ^[14].
• set of non-negative integers comprises set of positive integers^[15].
• set of non-negative integers comprises singleton of 0^[16].
• set of non-negative integers's notation is recorded as ℕ^[17].
• set of non-negative integers's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics^[18].
• set of non-negative integers's has characteristic is recorded as Archimedean property^[19].
• set of non-negative integers's has characteristic is recorded as discreteness^[20].
• set of non-negative integers's different from is recorded as natural number^[21].
• set of non-negative integers's different from is recorded as set of positive integers^[22].
• set of non-negative integers's different from is recorded as class of cardinal numbers^[23].
• set of non-negative integers's studied by is recorded as mathematics^[24].
• set of non-negative integers's has part is recorded as non-negative integer^[25].
• set of non-negative integers's set cardinality is recorded as aleph null^[26].

Body

Definition and Type

Recorded instance of include set of numbers^[2], countably infinite set^[3], commutative monoid^[4], dioid^[5], cancellative semigroup^[6], and integer interval^[7]. Recorded opposite of include set of negative integers^[12] and set of non-positive integers^[13].

Use and Application

Components include set of positive integers^[15], a set of numbers^[27] and singleton of 0^[16], a singleton^[28]. Part of include set of integers^[8], a countably infinite set^[29]; class of cardinal numbers^[9]; and set of non-negative real numbers^[10].