Turneyboy

It's essentially just the boundary of the Mandelbrot set which makes sense as that's where the calculation is the most unstable.

The theorem holds not for arbitrary dynamical systems but under two conditions: 1) The flow preserves volume 2) All orbits are bounded.

The second law of thermodynamics is in a sense a statement about evolution of probability distributions. As time goes on the dynamical system mixes any probability distribution such that entropy increases. Poincare recurrence is a part of this mixing phenomenon.

Television typically runs ~7 minutes of unskippable ads for 23 minutes of content.

I'm sorry but how, other than colorful language, is it useful to consider every cell as a universe? And how does that put us at the center of the universe? Equating cell to universes here does nothing of value.

A similar thing also happens in the modern formulation of the Stoke's theorem. Once you set up the machinery of differential forms it becomes almost a trviality which is just amazing.

There are simple practical reasons though. We don't do that to be fancy. There are simply not enough letters in the latin alphabet to not have common intersection in writing. We like to use the same letters for objects of the same type (like x,y for coordinates or i,j,k,l for indices) because that increases readability significantly. But it does mean that you run out quite quickly.

Adding another alphabet alleviates those issues somewhat but even with greek letters added in we still run into this issue somewhat commonly.

At the very least they do not allow keychain to interact with browsers other than safari. This means that your autofill does not synchronize easily with your mobile devices.

That's a choice that is not based on technical conditions and is pure disrespect of user preferences.

A simple compressor solves that issue so I really doubt this would be an effective measure.

I'm a fan of his work but that's just not what Fields medals are for.

I think that's mostly due to the fact that the small market size makes it not quite worth it. With something like self riving the development costs are huge so you better capture a sizeable market.

To further the pedantry, parent didn't make any claims about most corpses. Just most corpses that are alive today.

No it wasn't. According to the article Biden unveiled the first image. That's it and that's true.

No credit is being falsely attributed to him here.