function for_loop(max_i)
% Run this function in the profiler with different max_i's to see how the
% overhead of repeated MATLAB commands causes problems with this functionally
% identical code.  Use the profiler to check your efficiency if your code gets
% slow, and be creative with using vector methods wherever possible!

%%
j = 1:max_i;
for i = 1:max_i
    j(i) = j(i) ^ 2;
end

%%
k = 1:max_i;
k = k .^ 2;