@dougmerritt@julesh - in 1d there are lots of functions preserved by the Fourier transform. There's an othonormal basis of functions ψₙ equal to a specific Gaussian times the nth Hermite polynomial. These are called 'energy eigenstates of the harmonic oscillator'. To take the Fourier transform of ψₙ you just multiply it by 𝑖ⁿ. So every fourth one is preserved by the Fourier transform, and taking linear combinations you get all functions preserved by the Fourier transform.
@johncarlosbaez@julesh
Thanks for that. Apparently I latched onto some circumstance in approximation theory and misremembered it as a universal; I'll have to backtrack on those memories.
A sort of compromise I can imagine for the economics of the tech industry is to add a new exit strategy for startup investors where they sell to the state, the company becomes a public corporation and loses its profit motive. The bar for this would naturally be incredibly high, this is for obviously-infrastructure things like Google Search and Twitter
Note that conscription in the UK ended in 1960, because of how many conscripts died in the Korean War. So you would have to be at least 83 years old to have experienced conscription. I will happily listen to the opinion of any politician who is older than 83 on this point since they are speaking from experience, any politician younger than 83 can fuck off and go to hell
You might think they were preparing for a war with Russia, where a conscript army would definitely be very useful for defending the varpourised radioactive crater where the UK used to be. But as far as I can tell they haven't actually said anything about Russia, the rhetoric around it is entirely about attacking young people
I just had an epiphany. The purpose of an review rebuttal is not to convince the reviewers to change their mind - which is obviously not possible except in vanishingly rare cases - it's to convince the programme committee that the reviewers don't know what they're talking about
@ProfKinyon@julesh "The purpose of an review rebuttal is not to convince the reviewers to change their mind - which is obviously not possible except in vanishingly rare cases - it's to convince the programme committee that the reviewers don't know what they're talking about."
Yes, and this is also the right attitude when arguing with jerks on the internet. You are really talking to the smarter people quietly looking on.
I need my students to understand that to get away with openly committing blatant plagiarism you have to be a billion dollar megacorporation, which they are not
Obviously not everything can be understood with just category theory, although I'm starting to kinda suspect that everything can be understood with a mixture of category theory and statistical physics
@jer_gib@julesh I'm sticking with this one. If you listen to how people speak, including people of your generation and older and even in Oxford, you basically never hear “whom" in accusative position. Imagine somebody actually saying “I don't know whom you're talking about” out loud, it sounds incredibly jarring to me. I reckon the only version anybody at all actually uses consistently is following a preposition "to”, as though English had a dative case... and it's not 1024 any more
@julesh@jer_gib also why stop here? why not use ‘thou’ and ‘thee’ if we don’t care about language as speakers actually speak it, but merely about pretending modern English is Latin
Someone should write "mathematics for the working category theorist", to teach a bit of algebraic topology to those of us who started out in functional programming