The nonstandard jump functions used in the study are as follows: for standard jump function [psi](x) with [[psi]] = [[psi].

Along the characteristic curve, nonstandard jump function across the shock front can be written in terms of non dimensional variables [pi], g, v and [xi] in the following form

We begin describing the edge detection method by defining a jump function

If f is continuous at [theta], then the jump function [f]([theta]) = 0.

where [lambda] = 1 in this Poisson law; k is an intensity parameter of the jump function; [PI] repeats the range of the jump function noticed on the history reports previously mentioned; and [theta] represents the points of the rate curve [1,30] years in EUR and USD.

DJ is a jump function which follows a Poisson law with an intensity parameter [lambda] and a jump range equal to [PI] > 0

This system of artificial intelligence works with the newly developed High Speed

Jump function to amazingly sharpen productivity.

Since JUMP is calculated once for every record probed, the total time spent is of the same order as the time needed to perform a linear search to find where to move x, but calls to a simple JUMP function may have a trivial cost when compared with accesses to secondary memory.

It might be interesting to search for these, and determine whether a JUMP function can be made to implement them.

We will use the following notation: given the quintuple (T, [sigma], [rho], [mu], v), where T denotes a time scale with

jump functions, [sigma], [rho], and associated forward graininess f and backward graininess , its dual will be ([T.

The layout of the corresponding jump functions [sigma](t), or [rho](t), is plotted in the first frame of Figure 4.

F] (t) on T are significantly larger than the corresponding jump functions on T.