# How to calculate with sigma notation in matlab?

1.237 views (last 30 days)
catarina on 4 Jan 2012
Edited: Walter Roberson on 25 Mar 2021
Hello,
I've been looking everywhere about how to calculate with sigma notation in matlab. I found some info such as syms and symsum but don't seem to be able to use it. I need it to calculate the following:
Fn=N-1
Sigma (fnj)
j=0
How would I write the code for it?
Anyone that can help? Thanks
catarina
Walter Roberson on 1 Mar 2017
shanthini vikraman
The sigma there appears to be unrelated to the sigma being talked about in this question; in this question, sigma is being used for summation.
Unfortunately you did not include the complete error message so it is difficult to say what is happening.
One possibility is that you invoked a function without passing in enough arguments. For example you might have used the Run button on a function that expects inputs; for such a function you need to go to the command line and call the function from there indicating the inputs to use.

David Young on 4 Jan 2012
If you need a numerical result, the sigma notation turns into a call to the sum() function. Your example might look something like this (with random numbers substituted for your data):
N = 100;
fn = rand(N, 1);
Fn = sum(fn);
Note that MATLAB array indices start from 1, so although in your formula the index j runs from 0 to N-1, in MATLAB the vector index runs from 1 to N. You may need to take account of this when you compute whatever is to be stored in fn.
(I assume that "Fn=" is on the wrong line of your formula, which should look like
N-1
Fn = Sigma fn
j=0 j
)
If you want a symbolic result using the Symbolic Math Toolbox, then someone else will need to help.
Walter Roberson on 4 Jan 2012
Fn = symsum(fn(j), 'j', 0, N-1);