This commodity is about the algebraic concept. For integers in computer science, see Accumulation (computer science
).
The integers (from the Latin integer, actually "untouched", appropriately "whole": the chat absolute comes from the aforementioned origin, but via French1) are formed by the accustomed numbers (including 0) (0, 1, 2, 3, ...) calm with the negatives of the non-zero accustomed numbers (−1, −2, −3, ...).They are accepted as Positive and Negative Integers respectively. Viewed as a subset of the absolute numbers, they are numbers that can be accounting after a apportioned or decimal component, and
fall aural the set {..., −2, −1, 0, 1, 2, ...}. For example, 21, 4, and −2048 are integers; 9.75, 5½, and 14% are not integers.
The set of all integers is generally denoted by a boldface Z (or blackboard adventurous \mathbb{Z}, Unicode U+2124 ℤ), which stands for Zahlen (German for numbers, arresting ˈtsaːlən).2 The set \mathbb{Z}_n is the bound set of integers modulo n (for example, \mathbb{Z}_2=\{0,1\}).citation needed
The integers (with accession as operation) anatomy the aboriginal accumulation absolute the accretion monoid of the accustomed numbers. Like the accustomed numbers, the integers anatomy a countably absolute set.
In algebraic cardinal theory, these frequently accepted integers, anchored in the acreage of rational numbers, are referred to as rational integers to analyze them from the added broadly authentic algebraic integers (but with "rational" acceptation "quotient of integers", this attack at attention suffers from circularity
).
).
The integers (from the Latin integer, actually "untouched", appropriately "whole": the chat absolute comes from the aforementioned origin, but via French1) are formed by the accustomed numbers (including 0) (0, 1, 2, 3, ...) calm with the negatives of the non-zero accustomed numbers (−1, −2, −3, ...).They are accepted as Positive and Negative Integers respectively. Viewed as a subset of the absolute numbers, they are numbers that can be accounting after a apportioned or decimal component, and
fall aural the set {..., −2, −1, 0, 1, 2, ...}. For example, 21, 4, and −2048 are integers; 9.75, 5½, and 14% are not integers.
The set of all integers is generally denoted by a boldface Z (or blackboard adventurous \mathbb{Z}, Unicode U+2124 ℤ), which stands for Zahlen (German for numbers, arresting ˈtsaːlən).2 The set \mathbb{Z}_n is the bound set of integers modulo n (for example, \mathbb{Z}_2=\{0,1\}).citation needed
The integers (with accession as operation) anatomy the aboriginal accumulation absolute the accretion monoid of the accustomed numbers. Like the accustomed numbers, the integers anatomy a countably absolute set.
In algebraic cardinal theory, these frequently accepted integers, anchored in the acreage of rational numbers, are referred to as rational integers to analyze them from the added broadly authentic algebraic integers (but with "rational" acceptation "quotient of integers", this attack at attention suffers from circularity
).
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