Lie theory, featuring 3D rotations - Online Technical Discussion Groups—Wolfram Community https://t.co/85TVBNBJmd
All about su(2), so(3), SU(2), SO(3), packed into 21 pages with proofs. My latest staff pick.
How about calculating the dynamics of a pendulum or a symmetrical top from geodesics in a curved manifold, SO(3)? See my latest Staff Pick at the Wolfram Community
SO(3) Gauge Theory for Classical Mechanics in UD
https://t.co/9M4UiO72Kd
As promised, here is the Schwarzschild metric ab-initio. No dragons this time. Only college maths are needed. It was found almost immediately after the publication of Einstein's General Relativity by Karl Schwarzschild while he was enlisted in WWI.
https://t.co/G7DZvikA0H
If you liked Schwarzschild black holes, you'll love spinning Kerr black holes, but beware the fearsome dragon!
Read about the Wizard's Quest here, my latest Staff Pick at Wolfram Community:
https://t.co/IZIIgDp3yR
Truly excellent notes on non-quantum field theory: https://t.co/cYbmpt7lgH. While "charting" my own path through diff. geom and all that at Wolfram Comm. https://t.co/RrQLo1jWFV, I stumbled on Charles Torre's, aimed straight at the sweet spot for a physicist: just enough rigor.
Interactive Black-Hole Dynamics with the Relativity Toolkit
My latest Staff Pick at Wolfram https://t.co/SVTlQwXROl
source on GitHub: https://t.co/66IfhTw918
@macro_synergy Good grief! Looks just like the physics of racing tires: (steering angle on horizontal axis, lateral force delivered on the vertical axis; https://t.co/GxZNaaLENr).
@LogicPractice TLA is not used enough in actual practice. The next time you have a deadlock, a buffer overflow, or a protocol failure, think how you might have saved time by designing it correctly in the first place instead of having to debug it in the field.
@elonmusk I'll be impressed when he can lock his knees. Entirely different control regime. This is still overactuated. Watching this make me feel lactic acid build up in my quadriceps.
@unclebobmartin i hve both emacs and intellij open, with mutual refresh. i edit and cider clojure in emacs. best debugger. i refactor in intellij. back and forth. use each for whatever is easier. pycharm and clion are nonpareil for debugger integration. emacs is sine qua non for everything else.
@DataSciFact By observing probabilities of all sequnces of four words (4-grams) in "Alice in Wonderland", I could generate gramatical travesties (random strings) that actually read plausibly. Here's a snippet from an ancient notebook:
@DataSciFact and several other curious creatures. alice led the way, and the whole party at once crowded round her, calling out in a trembling voice i passed by his garden. alice did not feel encouraged to ask any more questions about it, so she turned to the dormouse, not choosing to notic
@leithaus A wise man once asked me "Can you think of something that is 'real' but not 'material?'" I could think of many such things, but I wish I had said "Santa Claus!"
@AlgebraFact I think there's a similar handy rule for divisibility by 29: let q and r be quotient and remainder when n is divided by 900. 29 divides n iff 29 divides q + r because 900 = 29 * 31 + 1.