Ciro Santilli @cirosantilli 37

Essentially, defining an holomorphic function on any open subset, no matter how small, also uniquely defines it everywhere.

This is basically why it makes sense to talk about analytic continuation at all.

One way to think about this is because the Taylor series matches the exact value of an holomorphic function no matter how large the difference from the starting point.

Therefore a holomorphic function basically only contains as much information as a countable sequence of numbers.

Their split in 1970 was a huge fuck up. If it were a single entity, the university would likely be in the top 10 university rankings, undoubtedly top 20. But as of 2020 French universities only appear instead in the top 40s or 50s.

www.gelifesciences.com/en/us/shop/protein-analysis/protein-sample-preparation/protein-enrichment/magrack-6-p-05761 (archive).

Ciro Santilli studied there for a few years starting in 2007.

In retrospect, doing electrical engineering (and likey the other engineering degrees) felt like taking a trip to the 60s in the United States, due to both the subject matter, and how old the concrete buildings were!

This does not need to be a bad thing. It is in that era (and earlier) that much of the exciting foundations of the field were set, and there is great value in there is value in tutorials written by early pioneers of the field. Not that they were amazing at excting history lessons as they should be. But the course outline suggested that intent.

But that point of view must also be accompanied by the excitement of the great ongoing advances of technology (and impact they had in the past). And on that, they failed.

One day, one day, we will fix that.

www.uopeople.edu/.

Online and free. Pay only for exams, i.e. exam as a service. Almost perfect according to Ciro Santilli's idea.

TODO is teaching material open or not?Asked: twitter.com/cirosantilli/status/1687865554722562048

There are infinitely many prime k-tuples for every admissible tuple.

Generalization of the Twin prime conjecture.

As of 2023, there was no specific admissible tuple for which it had been proven that there infinite of, only bounds of type:But these do not specify which specific tuple, e.g. Yitang Zhang's theorem.

Generally, prizes that pay big lumps of money to well established individuals are a bit useless, it would be better to pay smaller sums to struggling beginners in the field, of which there are aplenty.

The most important part about prizes should not be the money, nor the recognition, but rather explaining better what the laureates did. In this, most prizes fail. Thus Ciro Santilli's project idea: Project to explain each Nobel Prize better.

Ah, this list: en.wikipedia.org/wiki/List_of_prizes_known_as_the_Nobel_or_the_highest_honors_of_a_field

Requires entangled particles, unlike BB84 which does not.

A metric is a function that give the distance, i.e. a real number, between any two elements of a space.

A metric may be induced from a norm as shown at: Section "Metric induced by a norm".

Because a norm can be induced by an inner product, and the inner product given by the matrix representation of a positive definite symmetric bilinear form, in simple cases metrics can also be represented by a matrix.

Preprint: arxiv.org/abs/2303.10798

"Game" is a bit of a stretch as there are no player choices at all.

A more precise word would be simulation.

More precise, this "game" is exactly an absorbing Markov chain.

Ciro Santilli is extremely passionate about this issue, partly due to Ciro Santilli's self perceived compassionate personality.

Ciro Santilli's main approaches to reduce it:

One of Ciro's most direct experiences with social inequality is described at: São Remo, the favela next to USP.

We have to be careful not to make everyone poorer when trying to reduce inequality.

But as things stand as of 2020, increasing taxes on the very richest, and notably wealth tax, and investing it in free gifted education, seems like a safe bet to achieve any meaningful level of equal opportunity and meritocracy.