Definition:Strictly Negative/Integer
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Definition
The strictly negative integers are the set defined as:
| \(\ds \Z_{< 0}\) | \(:=\) | \(\ds \set {x \in \Z: x < 0}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds \set {-1, -2, -3, \ldots}\) |
That is, all the integers that are strictly less than zero.
Sources
- 1963: Morris Tenenbaum and Harry Pollard: Ordinary Differential Equations ... (previous) ... (next): Chapter $1$: Basic Concepts: Lesson $2 \text A$: The Meaning of the Term Set
- 1972: A.G. Howson: A Handbook of Terms used in Algebra and Analysis ... (previous) ... (next): $\S 4$: Number systems $\text{I}$: The rational integers
- 1994: H.E. Rose: A Course in Number Theory (2nd ed.) ... (previous) ... (next): $1$ Divisibility: $1.1$ The Euclidean algorithm and unique factorization