There’s a reason they call it a no-otherian ring

The monomal kingdom

For the dark mode enjoyers in the chat

brianna-lei.itch.io/butterfly-soup

… specifically when expressed in the graph coordinates, (x,y) \mapsto f(x)g(y)

I hadn’t thought about that, I see what you mean! I wonder if there’s a differential geometric notion that captures that aspect, something about “how conformal” the metric is?

Finally learned out how to use TikZ on my blog. God bless!! tikzjax.com

Beautiful! Would be cool to have either factor be a catenary instead of a parabola (optimally supports its own weight iirc) !

followed you for like a week and you’ve said just about everything in that span of time

Wait no this makes so much sense now. It starts with the 0 frequency term (which is useful because it's the integral of the signal) then increases in frequency modulo samples: So it's [0, 1, 2, 3, -3, -2, -1] if the signal has 7 samples, [0, 1, 2, +-3, -2, -1] for 6 samples!

You do these standing??? Your lower back would like to thank you in person

I wish I had a standing hobby (that I was this good at)

Those chairs are so ergonomic. I am in otter awe

I reset my Roku once and it got marginally better. It’s because of all the behind-the-scenes data collection but joke’s on them cus I only watch math on it anyway

Hahah well, idk how i feel about using the terminal to search the web. Alfred assigns a shortcut (e.g., ⌥+space) that pulls up a text prompt like spotlight, where you can search your filesystem, dictionaries, wikipedia, etc

Worth noting that Noether's theorem applies in contexts more general than "closed cycles". Like in the case of the string problem (what shape does a piece of string assume when it is held by its endpoints?) you can apply her theorem to get an invariance law related to the tension along the string

My best guess is yes. If a group of transformations acts on your state space but leaves the "energy" invariant, then you can transform one closed cycle to get another -- you get a foliation of closed-cycles! Noether says that this implies the existence a conservation law (at least on vector spaces)

Would be so much nicer if it could pull up the "most probable" page for me. But maybe its not possible to implement that without disrupting the existing functionality which is excellent, and transparent to the user in a way that's desperately lacking in today's UI/UX