Should it beOriginally Posted by Jameson
?
RonL
This is from the Putnam exam, 2003.
"Find the minimum value of for all real x".
My thoughts:
First I rewrote everything in terms of sine and cosine. After simplifying I get:
Now here's my thinking... if I let a=sin(x) and b=cos(x) then I can use Lagrange Multipliers to find the minimum. What's the constraint though?
This problem with it is no diffrenciable at . That was the problem with the line of best fit algorithm, unless you simplify the problem using the concept of least squares. If you procede as that then you need to minimize,