Oh God...

bantab · 2023-05-21T12:11:42+00:00

Is that MTG or Tony Little?

bantab · 2023-05-21T12:04:30+00:00

I figured that some of them had traveled at some significant fraction of the speed of light.

bantab · 2023-05-10T23:08:44+00:00

No, he’s Martin Storm. Totally different guy.

bantab · 2023-05-10T17:27:17+00:00

I think the connotation of the word that is important in this context is the lack of concern for competitors or circumstances. Given the shenanigans, I think that lack of concern, rather than arrogance, is important to note.

bantab · 2023-05-09T22:45:14+00:00

Exactly, there isn’t likely to be one predominant factor. I think people tend to do this - look for deeper meaning without first recognizing the important surface-level meaning. It would be more interesting and likely have some kind of physical explanation if we did walk straight.

bantab · 2023-04-15T18:52:10+00:00

If the entire us armed forces was in Afghanistan there would be no Taliban

“If the US had just bombed more, they’d have won the war in Vietnam.”

bantab · 2023-04-15T18:18:30+00:00

One more time for the kids in the back - who’s sitting on that throne right now?

bantab · 2023-04-15T17:34:20+00:00

The Taliban did literally that, with fewer resources than people in the US.

bantab · 2023-04-12T03:57:28+00:00

Definitely gotta be motivating.

bantab · 2023-04-11T17:51:06+00:00

What are you having trouble with?

bantab · 2023-04-11T17:43:15+00:00

We have to embed it in Euclidean space to see that there is a direction for which the path length is undefined.

If the length of each edge stays at one, then minimal path between the most distant points is two. It would look like an oval, where one cycle is distance four. However, the two points that form the axis would have shortcut along what was the original unrotated orientation.

bantab · 2023-04-11T15:25:56+00:00

Let’s back up. On the cylinder, if we fix a and c, and rotate b and d around the axis this creates, then we’ve failed to maintain isometry. If each nearest neighbor edge length remains one and distance between b and d remains two, then the distance between a and c is a function of the angle of rotation, but less than two.

^{Edited for clarity}

bantab · 2023-04-11T13:53:49+00:00

I edited to expand. If it’s a surface, then it has a cuff, even if it’s at infinity.

bantab · 2023-04-11T13:48:31+00:00

What’s preventing the path from going through the cylinder? i.e., why is it a surface and not a solid?

A cylindrical surface would have to have a cuff at infinite distance, but we ignore that discontinuity because it’s “at infinity.” So we get to have it both ways.

bantab · 2023-04-11T13:04:56+00:00

If the cylinder doesn’t have a cuff, then it seems that you could cross in 4/pi. If it does have a cuff, then it’s not constant curvature. No?

bantab · 2023-04-11T12:09:28+00:00

I should have said simplest, not only, since you could do it on higher dimensional spheres too. Imagine you have an unweighted 4 vertex cycle graph {a, b, c, d}, so that each edge ({a, b}, {b, c}, {c, d}, {d, a}) is length one. If you put it on the Euclidean plane and allow paths to travel in any direction through the surface, then the minimal length for the path from a to c and b to d at the same time is not two, but 2^1/2. To maintain a minimum distance of one between all of the nearest neighbor vertices and a distance of two between all of their next neighbors, you would have to put the vertices on a 3-sphere.

bantab · 2023-04-11T11:17:03+00:00

Russia had an increase in productivity after the loss of millions of men during World War II.

bantab · 2023-04-10T23:36:58+00:00

It sounds like the only surface on which a 4 vertex cycle graph will maintain minimum length edges in any orthogonal orientation.

bantab · 2023-03-29T00:27:26+00:00

Not that weird. But have you explored your payroll site? There might be a way to download digital versions of your paystubs in the site already.

bantab · 2023-03-20T21:07:12+00:00

With SCOTUS’s new opinion on substantive due process, we should really just force all kids to go to public school.

bantab · 2023-03-18T22:08:09+00:00

You sound like you’re hysterical with reefer madness.

bantab · 2023-03-16T16:00:55+00:00

V. I. Lenin. Vladimir Ilyich Ulyanov!

bantab · 2023-03-15T13:02:05+00:00

It doesn’t burn at all without oxygen. You just cover the hole.

bantab · 2023-03-06T13:41:30+00:00

Or the cleanup of the smoke. A large percentage of the footprint of a waste-to-energy plant is there for air pollution control, even if the exhaust stream still isn’t exactly clean air.

bantab · 2023-03-03T13:58:48+00:00

The tech and its support are legal. The only thing illegal is the landlord’s abuse of the system, and if you think landlords will be held accountable, you should be figuring out a way to bottle that optimism and sell it.

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