The Friendship Algorithm - S2-E13
Corrected entry: When Sheldon and Barry are rock climbing, Sheldon looks down and shouts in fear. When Barry asks "You all right there Cooper?", Sheldon answers "I feel somewhat like an inverse tangent function approaching an asymptote." An inverse tangent function approaches its asymptote in the horizontal axis, not the vertical. (00:15:55)
Correction: The vanity card at the end explains the joke. "A linear asymptote is essentially a straight line to which a graphed curve moves closer and closer but does not reach. In other words, given a function y=fn (x) with asymptote A, A represents a number that, no matter how big (or, given the function, small) you make x, y will never make it to A. The particular example Sheldon quotes is the inverse Tangent function, or Arctangent, which has two asymptotes. If you graph it, it sort of looks like a horizontal S. No matter how big you make x (that is, how far you move to the right [that is horizontally]), the function is never going to hit that top line (π/2), and no matter how small x gets (moving to the left), y is never going to be smaller than - π/2" Sheldon is saying he will never reach the top.
Bishop73