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Fungrim entry: 18d335

sgn ⁣(x)={1,x>01,x<00,x=0\operatorname{sgn}\!\left(x\right) = \begin{cases} 1, & x > 0\\-1, & x < 0\\0, & x = 0\\ \end{cases}
Assumptions:xRx \in \mathbb{R}
TeX:
\operatorname{sgn}\!\left(x\right) = \begin{cases} 1, & x > 0\\-1, & x < 0\\0, & x = 0\\ \end{cases}

x \in \mathbb{R}
Definitions:
Fungrim symbol Notation Short description
Signsgn ⁣(z)\operatorname{sgn}\!\left(z\right) Sign function
RRR\mathbb{R} Real numbers
Source code for this entry:
Entry(ID("18d335"),
    Formula(Equal(Sign(x), Cases(Tuple(1, Greater(x, 0)), Tuple(-1, Less(x, 0)), Tuple(0, Equal(x, 0))))),
    Variables(x),
    Assumptions(Element(x, RR)))

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2019-09-15 11:00:55.020619 UTC