As of 2019, the more formal name for particle physics, which is notably missing general relativity to achieve the theory of everything.
cds.cern.ch/record/799984/files/0401010.pdf The Making of the Standard Model by Steven Weinberg mentions three crucial elements that made up the standard model post earlier less generalized quantum electrodynamics understandings
This is the one Ciro Santilli envies the most, because he has such a great overlap with Ciro's interests, e.g.:
He's good. Sometimes a bit repetitive, but generally pretty good.
Only the "original" videos matter. After those it became crap.
www.youtube.com/watch?v=h6DtVHqyYts Big Rigs: Over the Road Racing (PC) (2014) is perhaps his best video.
Like everything else in Lie groups, first start with the matrix as discussed at Section "Lie algebra of a matrix Lie group".
Intuitively, a Lie algebra is a simpler object than a Lie group. Without any extra structure, groups can be very complicated non-linear objects. But a Lie algebra is just an algebra over a field, and one with a restricted bilinear map called the Lie bracket, that has to also be alternating and satisfy the Jacobi identity.
Another important way to think about Lie algebras, is as infinitesimal generators.
Because of the Lie group-Lie algebra correspondence, we know that there is almost a bijection between each Lie group and the corresponding Lie algebra. So it makes sense to try and study the algebra instead of the group itself whenever possible, to try and get insight and proofs in that simpler framework. This is the key reason why people study Lie algebras. One is philosophically reminded of how normal subgroups are a simpler representation of group homomorphisms.
To make things even simpler, because all vector spaces of the same dimension on a given field are isomorphic, the only things we need to specify a Lie group through a Lie algebra are:Note that the Lie bracket can look different under different basis of the Lie algebra however. This is shown for example at Physics from Symmetry by Jakob Schwichtenberg (2015) page 71 for the Lorentz group.
- the dimension
- the Lie bracket
As mentioned at Lie Groups, Physics, and Geometry by Robert Gilmore (2008) Chapter 4 "Lie Algebras", taking the Lie algebra around the identity is mostly a convention, we could treat any other point, and things are more or less equivalent.
Way, way before instant messaging, there was... teletype!
Using a 1930 Teletype as a Linux Terminal by CuriousMarc (2020)
Source. If a product of a big company has a catchy name it came from an acquisition Updated 2024-12-23 +Created 1970-01-01
If a Big Company makes a product that Does Something, they just call it Big Company Does Something.
If a product is called "Big Company Catchy Name Does Something", then it came from an acquisition, and they wanted to keep the name due to its prestige and to not confuse users.
Synthesizes MIDI input. vmpk +
aconnect + Advanced Linux Sound Architecture hello world: askubuntu.com/questions/34391/virtual-midi-piano-keyboard-setup/1298026#1298026Supports only very basic effects it seems: chorus effect and reverberation. The main way to add instruments to it is via SoundFont files.
Editor. As last time. And the one before. But now it is for real.
I guess ended up doing all the "how things should look like" features because they clarify what the website is supposed to do, and I already have my own content to bring it alive via
ourbigbook --web upload.But now I honestly feel that all the major elements of "how things should look like" have fallen into place.
And yeah, nobody else is never going to contribute as things are! WYSIWYG is a must.
I was really impressed by Trillium Notes. I should have checked it long ago. The UI is amazing, and being all Js-based, could potentially be reused for our purposes. The project itself is a single-person/full trust notetaking only for now however, so not a direct replacement to OurBigBook.
The Euro Has Never Been More Problematic by Yanis Varoufakis (2018)
Source. Talk given at the Oxford Union. youtu.be/cCA68U3P_Z8?t=1288 describes the problem with the Uero a bit better.Being Brazilian, Ciro Santilli is particularly curious about the existence of a Brazilian-focused website one mentioned in the article, as well as in other democracies.
WTF the CIA was doing in Brazil in the early 2010s! Wasn't helping to install the Military dictatorship in Brazil enough!
Here are the democracies found so far, defining a democracy as a country with score 7.0 or more in the Democracy index 2010. In native language:In English, so more deniable:"Almost democracies":Ciro couldn't help but feel as if looking through the Eyes of Sauron himself!
- Germany(2: dedrickonline.com, neighbour-news.com)
- France (4: guide-daventure.com, lesummumdelafinance.com, football-de-luxe.com, suparakuvi.com)
- Italy (2: attivitaestremi.com, podisticamondiale.com)
- Spain (2: armashoy.com, montanismoaventura.com)
- Brazil (1: noticiasmusica.net)
- South Korea (1: economicnewsbuzz.com)
- Poland (1: boxingstop.net)
- Japan (1: snapnewsfront.net)
- Canada (2: kanata-news.com, mynewscheck.com)
- Philippines (1: half-court.net)
- India (1: amishkanews.com)
- Croatia (1: stara-turistick.com)
- Thailand (1: thefairwaysaregreen.com)
- Peru (1: todosperuahora.com)
It is worth noting that democracies represent just a small minority of the websites found. The Middle East, and Spanish language sites (presumably for Venezuela + war on drugs countries?) where the huge majority. But Americans have to understand that democracies have to work together and build mutual trust, and not spy on one another. Even some of the enlightened people from Hacker News seem to not grasp this point. The USA cannot single handedly maintain world order as it once could. Collaboration based on trust is the only way.
Snowden's 2013 revelations particularly shocked USA allies with the fact that they were being spied upon, and as of the 2020's, everybody knows this and has "stopped caring", and or moved to end-to-end encryption by default. This is beautifully illustrated in the Snowden when Snowden talks about his time in Japan working for Dell as an undercover NSA operative:
NSA wanted to impress the Japanese. Show them our reach. They loved the live video from drones. This is Pakistan right now [video shows CIA agents demonstrating drone footage to Japanese officials]. They were not as excited about that we wanted their help to spy on the Japanese population. They said it was against their laws.We bugged the country anyway, of course.And we did not stop there. Once we had their communications we continued with the physical infrastructure. We sneaked into small programs in their power grids, dams, hospitals. The idea was that if Japan one day was not our allies we could turn off the lights.
Another noteworthy scene from that movie is Video "Aptitude test scene from the Snowden 2016 film", where a bunch of new CIA recruits are told that:
Each of you is going to build a covert communications network in your home city [i.e. their fictitious foreign target location written on each person's desk, not necessarily where they were actually born], you're going to deploy it, backup your site, destroy it, and restore it again.
Equivalence between Lagrangian and Hamiltonian formalisms Updated 2024-12-23 +Created 1970-01-01
Basically, a "representation" means associating each group element as an invertible matrices, i.e. a matrix in (possibly some subset of) , that has the same properties as the group.
Or in other words, associating to the more abstract notion of a group more concrete objects with which we are familiar (e.g. a matrix).
Each such matrix then represents one specific element of the group.
This is basically what everyone does (or should do!) when starting to study Lie groups: we start looking at matrix Lie groups, which are very concrete.
Or more precisely, mapping each group element to a linear map over some vector field (which can be represented by a matrix infinite dimension), in a way that respects the group operations:
As shown at Physics from Symmetry by Jakob Schwichtenberg (2015)
- page 51, a representation is not unique, we can even use matrices of different dimensions to represent the same group
- 3.6 classifies the representations of . There is only one possibility per dimension!
- 3.7 "The Lorentz Group O(1,3)" mentions that even for a "simple" group such as the Lorentz group, not all representations can be described in terms of matrices, and that we can construct such representations with the help of Lie group theory, and that they have fundamental physical application
Bibliography:
- www.youtube.com/watch?v=9rDzaKASMTM "RT1: Representation Theory Basics" by MathDoctorBob (2011). Too much theory, give me the motivation!
- www.quantamagazine.org/the-useless-perspective-that-transformed-mathematics-20200609 The "Useless" Perspective That Transformed Mathematics by Quanta Magazine (2020). Maybe there is something in there amidst the "the reader might not know what a matrix is" stuff.
There are unlisted articles, also show them or only show them.