nondiff(a,b,xmin,xmax,fhandle,n) draws the result of the |
partial sum of the functions a^i * f(b^i*x).
If a < 1 and a*b > 1, and f is not differentiable in some point x,
then the limit of the infinite sum is a function that
is continuous everywhere but never differentiable.
[xmin,xmax] give the limits for the plot, fhandle should be
a script file of a function (for example fhandle = @distZ).
nondiff(a,b,n) uses xmin = -1.2, xmax = 1.2, fhandle = @distZ.
nondiff(a,b) as above, and in addition n = 10.
nondiff uses a = 0.5, b = 2; so it plots the Takagi function.
Usage: type unzip nondiff.zip
Contents: nondiff.m distZ.m
This file was generated by students as a partial fulfillment
for the requirements of the course "Fractals",
2004/2005, Stuttgart University.
Takagi, continuous, differentiable, fractal, function, Funktion, stetig, differenzierbar, Fraktale