Can’t get the shower faucet turned to just the right temperature? You’ve run afoul of the Intermediate Value Theorem, our columnist writes
Mathematician Eugenia Cheng explores the uses of math beyond the classroom. Read more columnsI used a shower at the gym for the first time in a year and a half and couldn’t get it to the right temperature.
First it was too cold, but if I turned the handle ever so slightly it immediately became too hot. I turned it the tiniest amount back, and it became too cold again. No position seemed to exist where it was at the right temperature for me, which means it violated a theorem from calculus called the Intermediate Value Theorem.
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