Calculate argmin for the function in matlab

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I want to find the value of the following using matlab:
where . S is the set of the numbers as given. .

Accepted Answer

John D'Errico
John D'Errico on 5 Jan 2022
Edited: John D'Errico on 5 Jan 2022
What have you tried? Why not? And why did you feel you needed a picture of the vector S? That just makes us type it in. Not gonna happen. Just because you want fancy formatting makes it more difficult for you to get help?
S = sort(randi(100,[1,10]))
S = 1×10
5 19 19 37 54 60 61 65 75 76
Next, learn to use VECTORS. Don't number your variables. Silly, becuase we know you have been using MATLAB for a while.
It looks like you want to find the closest elements in S to each of the members of a. Then form the sum.
a = [10:20:100]
a = 1×5
10 30 50 70 90
[~,minind] = min((a' - S).^2,[],2);
V = S(minind)
V = 1×5
5 37 54 65 76
sum(V)
ans = 237

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