Ciro Santilli @cirosantilli 40

cyclotrons produce the better images, but they are expensive/you have to move to them and order a timeslot.

Lab-based just use some X-ray source from the lab, so it is much move convenient e.g. for a pharmaceutical company doing a bunch of images. The Wikipedia image shows such a self-contained lab system: en.wikipedia.org/wiki/File:Freezed_XRD.jpg

How atomic clock works? answer by Ciro Santilli on Physics Stack Exchange.

www-thphys.physics.ox.ac.uk/people/AndreiStarinets/sr_mt_2022.html (archive) contains 2022 problem sets and notes, well done Mr Andrei Starinets!

This is one of Ciro Santilli's most important principles.

Steve Jobs has a great quote about this. He's totally right on this one!

Decide your goal first, and then do whatever is needed to how to reach it.

Don't start randomly learning tech, because that means you will waste a lot of time learning useless stuff.

There is of course some level chicken-and-egg paradox in this, as highlighted by Dilbert, since choosing an achievable goal in the first place requires some level of technical understanding.

However, it is much more common that people will get way too involved in learning useless stuff and lose sight of the useful end goals.

Rather, take an iterative approach:

There is some truth to the counter argument that "but if you don't spend a lot of time learning the basics, you can never find solutions".

However, these people underestimate your brain. The brain is beautiful, and human intuition is capable of generating interest towards the things that are actually useful to reach your goal. When you feel like learning something related to your goal, by all means, give yourself the time to do so. But this still be much more efficient than just learning random things that other people tell you to learn.

Bibliography:

Many bad films have good aspects. They just didn't cross the elusive threshold of a good film.

Semi-comical student website to review the toilets of the University of São Paulo. Some of the toilets had a reputation for being terrible.

One is reminded of Crushbridge.

An elliptic curve is defined by numbers $a$ and $b$. The curve is the set of all points $(x,y)$ of the real plane that satisfy the Equation 1. "Definition of the elliptic curves"

Equation 1. "Definition of the elliptic curves" definies elliptic curves over any field, it doesn't have to the real numbers. Notably, the definition also works for finite fields, leading to elliptic curve over a finite fields, which are the ones used in Elliptic-curve Diffie-Hellman cyprotgraphy.

The key difference from Lagrangian mechanics is that the Hamiltonian approach groups variables into pairs of coordinates called the phase space coordinates:This leads to having two times more unknown functions than in the Lagrangian. However, it also leads to a system of partial differential equations with only first order derivatives, which is nicer. Notably, it can be more clearly seen in phase space.

Bibliography: