     This program demonstrates graphical representations
of complex functions of complex variable.
     The program uses the syntaxis of redefinition of
functions used in the TMT Pascal compiler; I used it because
in TMT Pascal there is ready-for-use procedure for 
setting graphical mode with 256 colors (with possibility
to change these colors); as it is evident from the used
ideology, it is convenient to use as great number of colors
as possible.
     The ideology: let w=f(z), where both z and w are 
complex numbers. The values of z correspond to the points of the 
complex plane (which for our purposes lies in the plane
of the screen). We try to represent the value of w by
brightness and color of the corresponding point. The module of w
can be represented as brightness. The question is, how to use 
color to represent the phase of w. As a first approximation, we can
use, e.g., the relative level of green proportional to (cos(fi))^2,
and the relative level of red proportional to (sin(fi))^2, where
fi is the phase of w; for this case, for purely real w we have 
green color, and for purely imaginary w we have red color. This,
however, does not make it possible to distinguish between positive and 
negative values of Re w and Im w. To make it possible,
we take the level of blue in such a way that it is equal to 0 at fi=45o
(where Re w and Im w are positive) and has its maximum at fi=225o 
(where they are negative). 
     With the use of the proposed method, we immediately see the
zeroes and poles of the choosen function. It is interesting to
compare the behavior of Lorentz and Gauss functions in the complex
plane (the programs show graphical representations for both).

