gitk 2.34.1 running on Ubuntu 22.04 with a simple repository.
Year 4 of the mathematics course of the University of Oxford Updated 2025-01-04 +Created 1970-01-01
Sample official source of the term "MMath": www.ox.ac.uk/admissions/undergraduate/courses/course-listing/mathematics
Mathematics and Philosophy masters course of the University of Oxford Updated 2025-01-04 +Created 1970-01-01
Mathematical Sciences masters course of the University of Oxford Updated 2025-01-04 +Created 1970-01-01
Besides the angular momentum in each direction, we also have the total angular momentum:
Then you have to understand what each one of those does to the each atomic orbital:
- total angular momentum: determined by the azimuthal quantum number
- angular momentum in one direction ( by convention): determined by the magnetic quantum number
There is an uncertainty principle between the x, y and z angular momentums, we can only measure one of them with certainty at a time. Video 1. "Quantum Mechanics 7a - Angular Momentum I by ViaScience (2013)" justifies this intuitively by mentioning that this is analogous to precession: if you try to measure electrons e.g. with the Zeeman effect the precess on the other directions which you end up modifing.
TODO experiment. Likely Zeeman effect.
Quantum Mechanics 7a - Angular Momentum I by ViaScience (2013)
Source. Direct translation from oldest documents deemed reliable, originally in a mixture of Hebrew, Aramaic, and Greek. Interesting project.
This is notably opposed to the approach taken by many versions which were based on the Septuagint, which was a much earlier full-Greek translation.
If you are a pussy and work a soul crushing job, this is one way to lie to yourself that your life is still worth living: do one cool thing every day.
Find a time in which your mind hasn't yet been destroyed by useless work, usually in the morning before work, and do one thing you actually like in life.
Work a little less well for you boss, and a little better for yourself. Ross Ulbricht:Selling drugs online is not advisable however.
I hated working for someone else and trading my time for money with no investment in myself
Even better, try to reach an official agreement with your employer to work 20% less than the standard work week. For example, you could work one day less every week, and do whatever you want on that day. It is not possible to push your passion to weekends, because your brain is too tired. "You keep all non-company-related IP you develop on that time" is a key clause obviously.
On a related note, good employers must allow employees to do whichever the fuck "crazy projects", "needed refactorings or other efficiency gains" and "learn things deeply" at least 20% of their time if employees want that: en.wikipedia.org/wiki/20%25_Project. Employees must choose if they want to do it one day a week or two hours per day. One day per month initiatives are bullshit. Another related name: genius hour.
Highly relevant on this topic: Video "What Predicts Academic Ability? by Jordan B Peterson (2017)".
I did it for me, Skyler
. Source. Pursuing a dream part time can make you feel afraid and tired. But at least, you will feel alive.Maybe you will be fired, but long term, having tried, or even succeeded your dream, or a one of its side effects, will be infinitely more satisfying.
The same goes for school, and maybe even more so because your parents can still support you there. Some Gods who actually followed this advice and didn't end up living under a bridge:
- George M. Church "[We] hope that whatever problems... contributed to your lack of success... at Duke will not keep you from a successful pursuit of a productive career." Lol, as of 2019 the dude is the most famous biotechnologist in the world, those "problems" certainly didn't keep him back.
- Freeman Dyson proved the equivalence of the three existing versions of quantum electrodynamics theories that were around at his time, and he has always been proud of not having a PhD!
- Ramanujan, from Wikipedia:
He received a scholarship to study at Government Arts College, Kumbakonam, but was so intent on mathematics that he could not focus on any other subjects and failed most of them, losing his scholarship in the process.
- Person that Ciro met personally and shall remain anonymous for now for his privacy: once Ciro was at a bar with work colleagues casually, it was cramped, and an older dude sat next to his group.The dude then started a conversation with Ciro, and soon he explained that he was a mathematician and software engineer.As a Mathematician, he had contributed to the classification of finite simple groups, and had a short Wiki page because of that.He never did a PhD, and said that academia was a waste of time, and that you can get as much done by working part time a decent job and doing your research part time, since you skip all the bullshit of academia like this.Yet, he was still invited by collaborating professors to give classes on his research subject in one of the most prestigious universities in the world. Students would call him Doctor X., and he would correct them: Mister X.As a software engineer, he had done a lot of hardcore assembly level optimizations for x86 for some mathematical libraries related to his mathematics interests. He started talking microarchitecture with Ciro's colleagues.And he currently worked on an awesome open source project backed by a company.At last but not least, he said he also fathered 17 children by donating his sperm to lesbian mothers found on a local gay magazine, and that he had met most/all of those children after they were born.A God. Possibly the most remarkable person Ciro ever met, and his jaw was truly dropped.
Gandhi TODO source:
You can chain me, you can torture me, you can even destroy this body, but you will never imprison my mind
This shows how to produce a minimized fully embedded CSS file with webpack from a sass:That example produces a
cd webpack/sass
npm install
npm run build
xdg-open index.htmldist/main.css file which is a compresesd combination of:- webpack/sass/main.scss
- normalize.css, added to the project as a regular
node_modulespackage
epigenetics mechanism.
X-Inactivation and Epigenetics by WEHImovies (2012)
Source. Shows how this makes every female mammal a chimera.Non-POSIX only here.
"More complex and general" integral. Matches the Riemann integral for "simple functions", but also works for some "funkier" functions that Riemann does not work for.
Ciro Santilli sometimes wonders how much someone can gain from learning this besides the beauty of mathematics, since we can hand-wave a Lebesgue integral on almost anything that is of practical use. The beauty is good reason enough though.
Oscillator made of an LC circuit.
Founded partly due to the influence of Edward Teller who thought Los Alamos National Laboratory was not making good progress on thermonuclear weapons, large part of which was developed there.
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