Ciro Santilli @cirosantilli 35

Logarithm of a discrete groups.

NP-intermediate as of 2020 for similar reasons as integer factorization.

An important case is the discrete logarithm of the cyclic group in which the group is a cyclic group.

1-dimensional heat equation example with Dirichlet boundary condition

The Fourier series of an $L^2$ function (i.e. the function generated from the infinite sum of weighted sines) converges to the function pointwise almost everywhere.

The theorem also seems to hold (maybe trivially given the transform result) for the Fourier series (TODO if trivially, why trivially).

Only proved in 1966, and known to be a hard result without any known simple proof.

This theorem of course implies that Fourier basis is complete for $L^2$, as it explicitly constructs a decomposition into the Fourier basis for every single function.

TODO vs Riesz-Fischer theorem. Is this just a stronger pointwise result, while Riesz-Fischer is about norms only?

One of the many fourier inversion theorems.

Season 1 was amazing. The others fell off a bit.

Ciro Santilli is just too old to understand what the point of that website is compared to Twitter. There must be one, right?

Also, it is impossible to use it on the browser without a cell phone, similar critique as Section "Messaging software that force you to have a mobile phone" but a bit more aggravating, because, well, you would expect creators want people to see their stuff on a browser unlike private messages?

Measured particle speeds with a rotation barrel! OMG, pre electromagnetism equipment?

Formal name: "animalia".

List of animal class: en.wikipedia.org/wiki/List_of_animal_classes

The first found and most important known epigenetic marker.

Happens only on adenine and cytosine. Adenine methylation is much less common in mammal than cytosine methylation, when people say "methylation" they often mean just cytosine methylation.

It often happens on promoters, where it inhibits transcription.

Centralized system that still attempts some level of privacy.

In it, a central bank issue tokens that are stored offline in your cell phone, a bit like cash bank notes.

When you take those tokens, a corresponding amount gets removed from your bank account, a bit like cash bank notes.

When a transaction is made, tokens are put into a spent token list via central API, and cannot be double spent thereafter. The corresponding ammount is then added to the bank account of the receiver. This also means that offline transactions are not possible.

When emitting, the bank signs the token with their private key. When spending, the bank checks that signature.

How do we prevent the bank from logging which token goes to which user besides trusting that they are running the software we whink they are running? Notably, couldn't timing be used to identify that?

At crankstart.org/grants the organization's website describes mostly California activities, but they do at least also act in the University of Oxford, see: Section "University of Oxford study costs".

Presumably the name refers to crank starting an old car, as in helping out those in difficulty like poor students get started in life. But is also an obscure slang for a type of handjob according to Urban Dictionary.