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Matlab Toolbox for Finite Frames

I am currently writing a Matlab toolbox for finite frames. Please check back here in 2015.

Matlab code (NB! Only a Test Example showing Syntax Highlighting)

We want to approximate the sum \sum_{k=1}^\infty 1/k^2=\pi^2/6. This is implemented in Matlab by the following code:

% for loops in Matlab

% Set the number of terms
n=10;

% initialize sum
Q=0;

% summing over k
for k=1:n
    Q=Q+1/k^2;
end

sprintf('Approximation with %d terms: Q = %0.10g',n,Q)

Modify n=10 in line 4 to obtain better approximations.

Approximating pi square over 6
  1. % for loops in Matlab
  2.  
  3. % Set the number of terms
  4. n=30;
  5.  
  6. % initialize sum
  7. Q=0;
  8.  
  9. % summing over k
  10. for k=1:n
  11.     Q=Q+1/k^2;
  12. end
  13.  
  14. sprintf('Approximation with %d terms: Q = %0.10g',n,Q)
% for loops in Matlab

% Set the number of terms
n=10;

% initialize sum
Q=0;

% summing over k
for k=1:n
    Q=Q+1/k^2;
end

sprintf('Approximation with %d terms: Q = %0.10g',n,Q)