Special functions have names, for example, the signum function is denoted by sgn.
2.
For the special case of values tied to the median, we define the kernel by the signum function.
3.
(Note the unconventional value for sgn ( 0 ) . ) The signum function does not satisfy the Lipschitz continuity condition required for the usual theorems guaranteeing existence and uniqueness of strong solutions.
4.
This is because the above expression but without " ? " being inside a signum function is the best linear unbiased prediction of " Y " given a value of " X ".
5.
Where \ textstyle \ operatorname { sign } denotes the signum function, and \ textstyle A, \ textstyle \ beta > 0, \ textstyle \ gamma and \ textstyle n are dimensionless quantities controlling the behaviour of the model ( \ textstyle n = \ infty retrieves the elastoplastic hysteresis ).
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