hi,
I've got a really great picture of the carbon atoms in a graphine (HOPG) sample, using STM technique (picture attached). I would like to remove from the picture all the data came from noise etc.. I'm working with MATLAB, and I tried to use fast Fourier transform (fft2), but didn't know how...
it's not Lipschitz because it's first derivative isn't bounded close to 0.
o.k., so given f and a>0, define g as follows: g=sqrt[x-r] in the interval [r,a^2/4+r], g=0 for x<=r and g=a/2 for x>=a^2/4+r. g is not Lipschitz on [r,s]. define h=f+g.
h isn't Lipschitz because g isn't Lipschitz and...
hey,
I need to show, using Baire Category Theorem, that there exits a continuous function
f: [0,1] to R , that isn't Lipschitz on the interval [r,s] for every 0<=r<s<=1 .
I defined the set A(r,s) to be all the continuous functions that are lipschitz on the interval [r,s]. I showed that...
hey,
I need to show, using Baire Category Theorem, that there exits a continuous function
f: [0,1] to R , that isn't Lipschitz on the interval [r,s] for every 0<=r<s<=1 .
I defined the set A(r,s) to be all the continuous functions that are lipschitz on the interval [r,s]. I showed that...