Set of Integer Multiples/Examples/Set of Even Numbers
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Example of Set of Integer Multiples
The set of even integers is defined as:
- $2 \Z := \set {x \in \Z: 2 \divides x}$
That is:
- $2 \Z := \set {\ldots, -6, -4, -2, 0, 2, 4, 6, \ldots}$
Sources
- 1971: Allan Clark: Elements of Abstract Algebra ... (previous) ... (next): Chapter $1$: The Notation and Terminology of Set Theory: $\S 4$