From: Anders Sandberg (asa@nada.kth.se)
Date: Fri Nov 22 2002 - 16:14:29 MST
On Fri, Nov 22, 2002 at 09:57:23AM -0800, Michael M. Butler wrote:
> I was/am dubious myself. I wonder if the fractality is due to a
> quasifractal distribution of leftovers.
I think the fractal structure can simply be explained by transposomes
rearranging an initially random sequence.
I made the following Matlab program to test it, and it produces
noticeable peaks in the power spectrum. I haven't tested fractality, but
I wouldn't be the least surprised if it showed up. x is the sequence, zz
is the evolution of the power spectrum and xx the evolution of the
sequence.
x=rand(1,1024)<0.5;
zz=[];
xx=[];
for i=1:100
zz=[zz; abs(fft(x))];
xx=[xx; x];
l=100;
k1=ceil(rand*(1024-l));
k2=ceil(rand*(1024-l));
x(k1:(k1+l))=x(k2:(k2+l));
end
subplot(2,1,1)
imagesc(log(zz))
subplot(2,1,2)
imagesc(xx);
-- ----------------------------------------------------------------------- Anders Sandberg Towards Ascension! asa@nada.kth.se http://www.nada.kth.se/~asa/ GCS/M/S/O d++ -p+ c++++ !l u+ e++ m++ s+/+ n--- h+/* f+ g+ w++ t+ r+ !y
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