Matlab Database > GUIs, Graphics & Visualization > Fractals > Continuous but never Differentiable

Matlab File(s)

Title: Continuous but never Differentiable
Primary Author: M2-TUM
Other Authors:Markus Hablizel
E-Mail: matlabdb-AT-ma.tum.de
Institution: TU Munich
Description: nondiff(a,b,xmin,xmax,fhandle,n) draws the result of the
n-th 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",
Winter term 2004/2005, Stuttgart University.

Keywords: Takagi, continuous, differentiable, fractal, function, Funktion, stetig, differenzierbar, Fraktale
File Name: nondiff.zip
File Size: 2 KB
File Version: 1.1
Matlab Version: 7.0
Date: 2004-12-01
Downloads: 209779
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