//=time() ?>
Now, thinking algebraically, consider this famous quote by linguist John Firth: “You shall know a word by the company it keeps.” If you’re an algebraist, you may try to formalize this by identifying the meaning of a word, like “red,” with the principal ideal associated to it:
Anyways, if you have a *bunch* of interacting particles, then the state of that large system is a density operator on the *tensor product* of the spaces associated to each particle. I like to draw such an operator as a big blob with one edge for each space.
Martin Kuppe’s map of the mathematical landscape is one of my favorite math-y illustrations. Now I’m loving it even more: Category theory has been promoted to the moon! It’s in the latest issue of @chalkdustmag! https://t.co/myNrSdU8BR
The 2018 Applied Category Theory School is ongoing, and the second paper we’re working through touches on applications to natural language processing. Cory and Jade just posted a nice summary on the n-Category Café. Check it out! https://t.co/04DsgiHNYN
Cool things happen when multiplication is not associative.
https://t.co/fE36hykQWe
How cool is this! The 3D associahedra! In short, it (topologically) captures the 14 ways you can ‘multiply’ 5 things https://t.co/aBw1d4uPOg
Viewing the Klein 4 group, ℤ/5ℤ, and permutation group S₃ as little categories: https://t.co/BqPWQZKWo0
Well I'd say last night's sunset here in NYC wasn't too shabby! #iphonetography