Is there a way to have Mathematica understand Big-Oh notation?
For example, I want something like:
MinBigOh[2x+3, x^2] = 2x+3
MinBigOh[2x+3, x^2] = x
The idea here is that I want to be able to augment "Min" to understand Big-Oh comparisons.
The purpose of this is so that I can write a bunch of expressions, and have Mathematica reason about the Big-Oh running time somewhat.