If any of you ever read this, do send me an email to Ciro Santilli saying hi and we can agree on a clear separation of usernames.

Although if you are just starting out, maybe you should just go from scratch with a unique Internet alias.

A younger unrelated Argentinian homonym who likes soccer that can be found through Google:Ciro used to like playing soccer too! :-)

www.ancestry.com.au/genealogy/records/ciro-santilli-24-bkmssg documents a "Ciro Santilli" born 31 Jan 1887 at Castelvécchio in Subéquo, L'Aquila, in the Abruzzo region, just like Ciro Santilli's ancestors. Parents Francesco Santilli and Anna Silveri. The page also mentions:

Unknown:

Like the matrix representation of a bilinear form, it is a matrix, but now the matrix has to be a symmetric matrix.

We can then immediately see that the matrix is symmetric, then so is the form. We have:But because $B(x,y)$ is a scalar, we have:and:

Major projects can be seen at: Section "The most important projects done by Ciro Santilli".

A summary of minor projects is given at: Ciro Santilli's minor projects.

This section is a dump for anything else, to keep those sacred first sections that show on the top of the homepage clean.

The thing about projects is that they are illiquid: it is not easy to immediately compare them.

And that is the whole point.

The outcome of that however is that you have to learn how to explain what you've achieved to others and why it is awesome.

Just like in the real world.

You have to create portfolio, and do some public relations.

First, experiments, please how do you determine it and how it helps predict the future: chemistry.stackexchange.com/questions/42066/is-there-a-way-to-experimentally-measure-entropy

No YouTube video? Really?

As Ciro has rambled infinitely at Section "University", the school system is hugely inefficient and a waste of time for everyone involved.

Instead, just use Section "OurBigBook.com" instead.

One of Ciro Santilli's strongest feeling in education is that material often falls in either of the two categories:

Ciro believes that there is often an important missing link between them, e.g.:

If we as a society are unable to provide this sweet Middle Way sweet-spot, it is unreasonable to expect that learners will ever have the motivation to advance, because it is just too boring! They are just more likely to go play video games instead.

It is Ciro's hope that OurBigBook.com will help to fill exactly that gap.

In Ciro's view, as of the 2020's this critical gap generally lies somewhere between the end of undergraduate studies, and at the start of postgraduate studies.

What we have to do is make this knowledge more accessible all way down to high school and earlier.

Let's take the gloves off more often, and give the full thing to interested students! Let students learn what they want to learn, and do that as soon as possible! Life is too short!

This problem is basically the knowledge version of the last mile problem. When we reach the end of graduate, there are enough directions of knowledge to go off into, that the probability that a great free tutorial exists is relatively low. Of course, as one approaches the realm of novel research, the branching is so wide that having perfect tutorials becomes impossible. Ciro's goal in life go push the last mile marker a bit further out.

Related:

Bibliography: