Set Partition/Examples/Integers by Sign
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Example of Set Partition
Let $\Z$ denote the set of integers.
Let $\Z_{> 0}$ denote the set of strictly positive integers.
Let $\Z_{< 0}$ denote the set of strictly negative integers.
Let $\Z_0$ denote the singleton $\set 0$
Then $P = \set {\Z_{> 0}, \Z_{< 0}, \Z_0}$ forms a partition of $\Z$.
Sources
- 1965: J.A. Green: Sets and Groups ... (previous) ... (next): $\S 2.3$. Partitions: Example $33$