Fun puzzle this morning: Suppose you are playing a #wordle-like game where you are trying to guess a three-digit string of numbers (like 318 or 087). What's the maximum number of guesses you would ever need to identify the number string?
#math #mathchat A few people have suggested the maximum number of guesses is 6, but I think you can always do it in 5! (Five, not five factorial.)

Excited for the Joy of Wh(y) with @stevenstrogatz and @thomaslin at @SimonsFdn! @7homaslin begins with a fantastic question for @stevenstrogatz: "Why do you care so much about teaching?"

A short thread about an underappreciated vector: The all 1's vector!

Every vector whose components are all equal is a scalar multiple of the all 1's vector. These vectors form a "subspace", and the all 1's vector is the "basis" vector.

(1/8) Let's say you have a list of data -- like 4, 7, -3, 6, and 1 -- and you put that data in a vector v. An important question turns out to be "What vector with equal components is most like my vector v?"

(2/8)