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Concept
Positive real numbers
Summary
In mathematics, the set of positive real numbers, \R_{>0} = \left{ x \in \R \mid x > 0 \right}, is the subset of those real numbers that are greater than zero. The non-negative real numbers, \R_{\geq 0} = \left{ x \in \R \mid x \geq 0 \right}, also include zero. Although the symbols \R_{+} and \R^{+} are ambiguously used for either of these, the notation \R_{+} or \R^{+} for \left{ x \in \R \mid x \geq 0 \right} and \R_{+}^{} or \R^{+}_{} for \left{ x \in \R \mid x > 0 \right} has also been widely employed, is aligned with the practice in algebra of denoting the exclusion of the zero element with a star, and should be understandable to most practicing mathematicians.
In a complex plane, \R_{>0} is identified with the positive real axis, and is usually drawn as a horizontal ray. This ray is used as reference in the polar form of a com
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