In these days in which "exponential growth" has such ominous connotations, we are pleased to announce our new paper which includes fast-growing functions in a much lighter setting. Fusible numbers and Peano Arithmetic. https://arxiv.org/abs/2003.14342 . Joint work with @jeffgerickson and @alreadydone
For the first time in history, the EuroCG workshop is being held in online-only format. Here is my talk: https://youtu.be/5X_0I3GqI4U
Consider the algorithm "M(x): if x<0 return -x, else return M(x-M(x-1))/2". This algorithm terminates for all real x, though this is not so easy to prove. In fact, Peano Arithmetic cannot prove the statement "M(x) terminates for all natural x". Paper to come! Joint work with @jeffgerickson and @alreadydone
@bremner Me, a Mathematica user for decades: Why yes, (#^%%)! & /@ %%% seems like a perfectly reasonable thing to write, why do you ask?
These are the self-intersecting onions @jeffgerickson was mentioning
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