There was a link on MetaFilter to Quazel, a site which promises to let you practice conversation in the language of your choice with an AI bot. Here's as far as I went:

Quazel [speaking aloud]: "Hallo! Mein Name ist Unterstrich Unterstrich Unterstrich Unterstrich Unterstrich Unterstrich Unterstrich. Wie ist dein Name?"

Me [through mic]: "Bitte duzen Sie mich nicht."

Quazel: "Es tut mir leid, ich wollte dich nicht verärgern."

Puzzle/Problem: An \(n\times n\) square grid is filled with the numbers 1 through \(n^2\). A cell in the grid is a local maximum if its value is greater than all of its orthogonally-adjacent neighbors. Let \(M(n)\) denote the expected value for the number of local maxima when the grid is filled randomly.

(a) Compute \(M(4)\)

(b) Evaluate \(\displaystyle\lim_{n\to \infty} M(n)/n^2\)

(I decided this was too easy to send off to journals, but I don't think it's a total no-brainer.)

https://en.wikipedia.org/wiki/Curve-shortening_flow

https://www.aaronbell.com/secret-colours-of-the-commodore-64/

https://puzzling.stackexchange.com/questions/10471/dots-and-boxes-best-move-in-given-position

That Hideous Cover Art

https://www.amazon.com/Perelandra-C-S-Lewis/dp/0006281664

- Academic Homepage
- http://homepages.gac.edu/~jsiehler/

Herzlich Willkommen in Minnesota!

Joined Jan 2019