Definition:Strictly Positive/Real Number/Definition 1
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Definition
The strictly positive real numbers are the set defined as:
- $\R_{>0} := \set {x \in \R: x > 0}$
That is, all the real numbers that are strictly greater than zero.
Sources
- 1965: Seth Warner: Modern Algebra ... (previous) ... (next): Chapter $\text I$: Algebraic Structures: $\S 1$: The Language of Set Theory
- 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 1$: Real Numbers: $\S 1.1$: Set Notation
- 2000: James R. Munkres: Topology (2nd ed.) ... (previous) ... (next): $1$: Set Theory and Logic: $\S 4$: The Integers and the Real Numbers