Let the pseudo- as
This function is a continuous function. Therefore, we
can study this with differential calculus. In the limit
( ) the equation approaches
function. For example,under the condition (y<x),
Using (3), is given by
These functions are easily extended to the general cases
in which N-variable and
also have parameterized
pseudo expression as follows.
N-variable pseudo-
is given by
Similarly, N-variable pseudo- is given by
We can easily confirm these functions (6)-(7)
approach N-variable and
respectively under the limit
(
). For example,