How to write summation in matlab with two variables?

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I am having trouble transferring these formulas onto matlab. My code compiles, however, my variables are all 1x1 and 0. I'm not sure why it is not calculating these values using my data properly. Here is my code so far:
syms u(i) v(i)
ubar = (1/N)*symsum(u,i,1,N);
uprime2 = (1/N)*symsum(u-ubar,i,1,N);
vbar = (1/N)*symsum(v,i,1,N);
vprime2 = (1/N)*symsum(v-vbar,i,1,N);
uprimevprime = (1/N)*symsum((u-ubar)*(v-vbar),i,1,N);
  2 Comments
Paul Hoffrichter
Paul Hoffrichter on 21 Apr 2021
Edited: Paul Hoffrichter on 21 Apr 2021
Could you tell me what the last equation represents? I was a little surprised about the subscript i being used for both u and v.
Alicia
Alicia on 22 Apr 2021
Yes, u represents the 2D matrix of the u-component of the velocity on the vector grid with likely erroneous vectors replaced by NaN with units of m/s, and v represents the 2D matrix of the v-component of the velocity on the vector grid with likely erroneous vectors replaced by NaN with units of m/s

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Accepted Answer

Paul Hoffrichter
Paul Hoffrichter on 21 Apr 2021
I am new to sym, so I thought I would give this a try. Please check carefully, as I did not have time to do so. I hope you are doing this in Live Editor. Will be back in 16 hours to see if any problems.
N=4;
u = (sym('u%d',[1 N])).';
ubar = mean(u);
u_ubar = (u - ubar);
uprime2 = mean( u_ubar.^2);
v = (sym('v%d',[1 N])).';
vbar = mean(v)
v_vbar = (v - vbar)
vprime2 = mean(v_vbar.^2)
uprimevprime = mean(dot(u_ubar, v_vbar))
  1 Comment
Alicia
Alicia on 22 Apr 2021
That gave me much better results, I am not receiving any 0 values anymore. Thank you for your help

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