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IEVref: | 103-03-04 | ID: | |

Language: | en | Status: Standard | |

Term: | signum | ||

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Symbol: | sgn | ||

Definition: | function of a real variable equal to –1 for all negative values of the variable, +1 for all positive values and 0 for the zero value Note 1 to entry: The signum can be generalized to complex variables as $\text{sgn}\text{\hspace{0.17em}}\underset{\_}{z}=\frac{\underset{\_}{z}}{\left|\underset{\_}{z}\right|}$ for $z\ne 0$ and $\text{sgn}\text{\hspace{0.17em}}0=0$. | ||

Publication date: | 2009-12 | ||

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Internal notes: | 2017-02-20: Editorial revisions in accordance with the information provided in C00020 (IEV 103) - evaluation. JGO | ||

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Note 1 to entry: The signum can be generalized to complex variables as $\text{sgn}\text{\hspace{0.17em}}\underset{\_}{z}=\frac{\underset{\_}{z}}{\left|\underset{\_}{z}\right|}$ for $z\ne 0$ and $\text{sgn}\text{\hspace{0.17em}}0=0$.