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matlab how to achieve the figure, partial enlargement, many novices are not very clear about this, in order to help you solve this problem, the following small series will be explained in detail for everyone, there are people who need this to learn, I hope you can harvest.

In mathematics, a Weierstrass function is a class of real-valued functions that are everywhere continuous and everywhere non-differentiable. This function is named after its discoverer Karl Weierstrass. [1]

Historically, Weierstrass function is a famous mathematical counterexample. Until then, mathematicians believed that a continuous function was differentiable at every point except a few special points. Weierstrass function is the first function which is continuous and non-differentiable everywhere, which explains the existence of so-called "ill-conditioned" function and changes the view of mathematicians on continuous function at that time, which has important significance.

clear all;clc;close alllambda =5;H= 0.5;N=10000;[t, WCF] = Generate_WCF(lambda, H, N)figureh= plot(t,WCF,'b','linewidth',1);hold onxlabel('t')ylabel('y')grid onhold on

h= plot(t(end-3000:end),WCF(end-3000:end),'r','linewidth',1);h=fill([0 1 1 0],[ 1 1 4 4],'g')h.FaceAlpha=0.1

h=fill([0 1 1 0],[ 1 1 -1 -1],'b')h.FaceAlpha=0.1

set(gca,'linewidth', 0.8,' fontsize', 14)axis([0,1 -1 4])title ('original ')

axes ('position ',[0.28 0.538 0.568 0.31])h= plot(t(end-3000:end),WCF(end-3000:end),' r','linewidth', 1);set(gca,' linewidth', 0.8,'fontsize', 10)title ('detail enlarged')

function [t, WCF] = Generate_WCF( lambda, H, N)

t = linspace(0,1,N); %N samples. Kmax = 10;aux = NaN(1,Kmax);aux2 = NaN(Kmax,N);for k = 1:Kmax aux(k) = lambda^((-1)*(k*H)); aux2(k,:) = aux(k).* cos(2*pi*(lambda^k)*t);endWCF = sum(aux2);end

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