how can i implement the Gaussian potential value code?

If there exists an arbitrary point x={x1,x2,...,xn}, the equation to calculate the potential function of data field on xi is:

my question is: how can i implement this equation in matlab?

Answer 1

[Adam Danz]

x is a vector of length n.

I'm assuming sigma is std(x)

phi = sum(exp(-(vecnorm(x(:)-x(:).',2,1) / std(x)).^2));

phi(i) is the output for x(i).