Let's make something clear: for all intents and purposes, a 1540+ on an SAT is equivalent to a perfect 1600. No top college is going to give you more credit for a 1580 than a 1550. You've already crossed their score threshold, and whether you get in nowdepends on the rest of you...
This function $$\frac{e^x - e^{-x}}{2}$$ is called the hyperbolic sine. I'll refer to it as "hypersine" for short. You could say it "splits the...