A new Twitter account is out to prove various bit of math in the space of a single tweet.
Assuming that you have worked your way through a proof or two in your life – and who hasn’t – you will remember their trickiness, and length. However, given the terse character limit of Twitter, the folks behind @TinyProof are pressed for space.
The result of that length constriction is the following, for example:
I’m going to hose this up, so math folks correct me in the comments, but I think that this says something along the following lines: The function ‘f’ is continuous for value between a and b; for the value a, f(a) – read as ‘f of a’ – is less than value y, which is less than value derived from f(b); there is a value x inside the set bounded by a and b such that f(x) is less than y. Something something something there exists a value c such that f(c)= y.
In other words, provided that y is between the values of f(a) and f(b), and the function is continuous, there will exists a value c between a and b that will solve for y.
I proved this in college. Professor Hadari, I am so sorry.
A similar Twitter account, @ProofInATweet exists, but doesn’t appear to be very active. More of this sort of thing, please.