Name of function

1. Aug 31, 2006

bomba923

For example, the function
$$f\left( x \right) = \left\{ {\begin{array}{*{20}c} {1:x > 0} \\ {0:x = 0} \\ { - 1:x < 0} \\ \end{array} } \right.$$
is known as the sign function, usually represented as sgn x.

However, is there a specific name for the function
$$f\left( x \right) = \left\{ {\begin{array}{*{20}c} {1:x > 0} \\ { - 1:x \leqslant 0} \\ \end{array} } \right.$$
?

Last edited: Aug 31, 2006
2. Aug 31, 2006

quasar987

3. Aug 31, 2006

bomba923

Well, in that case, my function is simply 2H0(x)-1

Last edited: Aug 31, 2006
4. Aug 31, 2006

mathwonk

the name of the function is yahweh.