1. In mathematical expressions the sign function is often represented as. 2. There is no ambiguity at the transition point of the sign function . 3. Also, it is consistent with the sign function which has no such ambiguity. 4. As example, consider the sign function \ sgn ( x ) which is defined through 5. As a counterexample look on the sign function \ sgn ( x ) which is defined through 6. Is there any valid argument " against " implementing an auto-sign function ? 7. The name is also applied to graphs in which the signs function as colors on the edges. 8. The sign function is not continuous at zero and therefore the second derivative for x = 0 does not exist. 9. Using the half-maximum convention at the transition points, the uniform distribution may be expressed in terms of the sign function as: 10. The sign function \ sgn ( \ sigma ) is defined to count the number of swaps necessary and account for the resulting sign change.