Saptarshi Majumdar

On the Discrete Optimization of x ^(n−x) and its Upper Bounds via the Lambert W Function

This paper investigates the discrete optimization of the exponential function g(x) = x^(n−x) subject to a fixed integer n While the continuous relaxation of this problem can be approached via classical differential calculus, determining the absolute maximum over the domain of nat...

On the Discrete Optimization of x ^(n−x) and its Upper Bounds via the Lambert W Function

This paper investigates the discrete optimization of the exponential function g(x) = x^(n−x) subject to a fixed integer n While the continuous relaxation of this problem can be approached via classical differential calculus, determining the absolute maximum over the domain of nat...