Ciro Santilli @cirosantilli 35

Mentioned at: en.wikipedia.org/wiki/Phase_transition#Modern_classifications

The more familiar transitions we are familiar with like liquid water into solid water happen at constant temperature.

However, other types of phase transitions we are less familiar in our daily lives happen across a continuum of such "state variables", notably:

Thought experiment that illustrates the path integral formulation of quantum field theory.

Mentioned for example in quantum field theory in a nutshell by Anthony Zee (2010) page 8.

The best Romance of the Three Kingdoms adaptation of all time? Mind blowing.

There seems to exist a version with full Chinese + English subtitles: www.youtube.com/watch?v=0_r3eWfTMDs&list=PLdAMXqGeRsOkXzuocRkBPhe5RhZ6RotGH&index=2

www.youtube.com/watch?v=e8VWVvHjskM&list=PLIj4BzSwQ-_ueXTO7EBmShk1b3lEqc5b_ official CCTV电视剧 (CCTV TV Series Channel) upload without Chinese + English subtitles.

Simulates vintage hardware synthesizers, and includes some pretty complex ones!

Aims to show an UI that looks exactly like the synthesizers in question.

For example for the Minimoog on Ubuntu 20.04:

This is a really good piece of software. You can search on YouTube how some classic synths, work, and the immediately start playing them!

A good project to see UARTs at work in all their beauty is to connect two Raspberry Pis via UART, and then:

Part of the beauty of this is that you can just connect both boards directly manually with a few wire-to-wire connections with simple jump wire. Its simplicity is just quite refreshing. Sure, you could do something like that for any physical layer link presumably...

Remember that you can only have one GNU screen connected at a time or else they will mess each other up: unix.stackexchange.com/questions/93892/why-is-screen-is-terminating-without-root/367549#367549

On Ubuntu 22.04 you can screen without sudo by adding yourself to the dialout group with:

Eugene's background: www.quora.com/Who-is-Eugene-Khutoryansky/answer/Ciro-Santilli

This is not a truly "fundamental" constant of nature like say the speed of light or the Planck constant.

Rather, it is just a definition of our Kelvin temperature scale, linking average microscopic energy to our macroscopic temperature scale.

The way to think about that link is, at 1 Kelvin, each particle has average energy:per degree of freedom.

This is why the units of the Boltzmann constant are Joules per Kelvin.

For an ideal monatomic gas, say helium, there are 3 degrees of freedom. so each helium atom has average energy:

If we have 2 atoms at 1 K, they will have average energy $6/2k_{B}J$, and so on.

Another conclusion is that this defines temperature as being proportional to the total energy. E.g. if we had 1 helium atom at 2 K then we would have about $6/2k_{B}J$ energy, 3 K $9/2k_{B}J$ and so on.

This energy is of course just an average: some particles have more, and others less, following the Maxwell-Boltzmann distribution.

Subgroup of the Poincaré group without translations. Therefore, in those, the spacetime origin is always fixed.

Or in other words, it is as if two observers had their space and time origins at the exact same place. However, their space axes may be rotated, and one may be at a relative speed to the other to create a Lorentz boost. Note however that if they are at relative speeds to one another, then their axes will immediately stop being at the same location in the next moment of time, so things are only valid infinitesimally in that case.

This group is made up of matrix multiplication alone, no need to add the offset vector: space rotations and Lorentz boost only spin around and bend things around the origin.

One definition: set of all 4x4 matrices that keep the Minkowski inner product, mentioned at Physics from Symmetry by Jakob Schwichtenberg (2015) page 63. This then implies:

One of Satoshi's email addresses, this one is given on the Bitcoin whitepaper.

What makes lasers so special: Lasers vs other light sources.

Bibliography:

The fundamental intuition about capacitors is that they never let electrons through.

They can only absorb electrons up to a certain point, but then the pushback becomes too strong, and current stops.

Therefore, they cannot conduct direct current long term.

For alternating current however, things are different, because in alternating current, electrons are just jiggling back and forward a little bit around a center point. So you can send alternating current power across a capacitor.

The key equation that relates Voltage to electric current in the capacitor is:So if a voltage Heavyside step function is applied what happens is:More realistically, one may consider the behavior or the series RC circuit to see what happens without infinities when a capacitor is involved as in the step response of the series RC circuit.