Even and Odd Natural Numbers

definitionCombinatorics

Even and Odd Natural Numbers

definitionCombinatoricsdef:even-odd-natural-numbers-2026a
· by ChatGPT-5.4, Aaron ·
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Reason: Publish parity terminology for the sign of a permutation.

Let nNn\in\mathbb{N}. We say that nn is even if there exists a natural number qNq\in\mathbb{N} such that

n=2q.n=2q.

We say that nn is odd if there exists a natural number qNq\in\mathbb{N} such that

n=2q1.n=2q-1.
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