#Matlab
Matlab
a warning: this is primarly math based, so do not expect fancy source code
Note that a = n^2
iff log(a) = log(n)*2
iff log(log(a)) = log(log(n))+log(2)
. So this function is just finding the zero of the function f(a) = log(log(n))+log(2) - log(log(a))
which obviously is at a = n^2
.
function s = g(n)
f = @(a) log(log(n))+log(2)-log(log(a));
s = fnzeros(f);
end
Here some other not very creative functions:
Here the program wil sum sum the number 1+2+3+...+n = 1/2 * (n^2+n)
twice and substract n
, so the result is always n^2
g=@(n)sum(1:n)+sum(1:n)-n
This function creates a n x n
matrix of random numbers (between 0 and 1) and then returns the number of elements.
g=@(n)numel(rand(n));
The following functin creates a vandermonde matrix of the vector (0,0,n)
and outputs the entry that consists of n^2
function s = g(n)
a = vander([0,0,n]);
s = a(3,1)
end
This function creates the inverse of a hilbert matrix of size n
where the top left element is always n^2
function s = g(n)
a = invhilb(n);
s = a(1);
end