This can be generalized to multiple arg max values (multiple equal formula_4 being the maximum) by dividing the 1 between all max args; formally where is the number of arguments assuming the maximum. For example, formula_19 since the second and third argument are both the maximum. In case all arguments are equal, this is simply formula_20 Points with multiple arg max values are singular points (or singularities, and form the singular set) – these are the points where arg max is discontinuous (with a jump discontinuity) – while points with a single arg max are known as non-singular or regular points.