Hyperbolic functions Memes

The progression of a physicist's excitement when calculating relative velocities. First panel: the naive approach that doesn't work in relativistic scenarios. Second panel: Einstein enters the chat with special relativity's velocity addition formula. Third panel: The mind-blowing hyperbolic tangent version that makes mathematicians weak at the knees. It's like watching someone discover increasingly potent forms of caffeine – from regular coffee to espresso to mainlining pure caffeine crystals directly into their frontal lobe.