The clapping for Emacs at 27:09 warmed the cockles of my cold dead heart
@ngideo Жыл бұрын
Its wild that Rusher uses the term "Notation as a Tool for Thought", talks about Maths notations, and doesn't mention Ken Iverson's work on APL entitled "Notation as a Tool for Thought".
@nosy-cat Жыл бұрын
I discovered GA only earlier this year while working on a hobby project involving geometry. GA blew my mind, and my strongest emotion was "why the hell did they keep it secret from me at uni?"
@pre-universitygeometricalg5862 Жыл бұрын
You may be interested in the LinkedIn group that is the source of the YT channel that I administer. The group is (unsurprisingly!) "Pre-University Geometric Algebra", and was founded as a space where Ga students, teachers, and subject-matter experts can network and collaborate on developing instructional materials.
@evandrofilipe1526 Жыл бұрын
That was such a fast pace, high octane talk, truly electrifying and it shows the importance of a hook before a big explanation
@Comonad7 ай бұрын
I watched this a couple of months ago and thought “wow what a good talk”, then last week I was coding up some geometry based on a frustratingly written standard, and realised it was so unintuitive because they were effectively working in higher dimensions with 2D tools and came back to watch this video again, and I’m even more impressed than before. Currently working on a GA solution, thank you for such an informative and entertaining talk
@AzureFlash Жыл бұрын
I'm kind of annoyed that this notation wasn't there in my engineering classes, it looks like it would've made the equations in many topics way more elegant. I also feel like I was shown Lagrangian mechanics way too late in my life, to a point where I couldn't really get it but I could see how insanely powerful it is. It looked almost like a cheat code for dynamic equations.
@hypergraphic Жыл бұрын
such a great talk
@jeremiahreilly9739 Жыл бұрын
Wow. What a great talk. I am a mathematically enamoured musician/artist/homemaker and I loved this talk. I write this before reading the papers, but your presentation lit my mind on fire. ★★★★★
@ArrowofEntropy Жыл бұрын
Terrific talk! One of the best GA intro talks to date.
@JohnL2112 Жыл бұрын
I G&%@&n nearly fell out of my chair at 21:35, thank you. I am not even done watching this and you changed my life.
@0netom Жыл бұрын
So beautiful! 😭
@stokedfool Жыл бұрын
"Notation as a tool for thought" and no mention of Ken Iverson or APL?
@bivector Жыл бұрын
Fantastic introduction to GA.
@evandrofilipe1526 Жыл бұрын
Fancy seeing you here lol
@jimmonroe58019 ай бұрын
My coworkers are wondering why I am cackling so much. Thank you.
@noclaf78 Жыл бұрын
Awesome talk!
@tombouie Жыл бұрын
Quite enlightening/enjoyable
@SimGunther Жыл бұрын
ReformingtheMathematicalLanguageofPhysics for those curious to look up that last publication
@UliTroyo Жыл бұрын
I hoped this would be about GA. It had to be! GA is the bee’s knees.
@evandrofilipe1526 Жыл бұрын
Same
@killymxi Жыл бұрын
So, where the links are to be found? Great talk, btw
@ingoverhulst Жыл бұрын
Link is in the description of the video. Preceded by "Talk Info"
@user-vs7cw2rg7r Жыл бұрын
How to do a 3 hour talk in 30 minutes.
@Anonymous-s7j1y Жыл бұрын
Hahaha
@psi4j Жыл бұрын
For real, this is dense.
@chukwunta Жыл бұрын
wow wow wow wow wow
@yash1152 Жыл бұрын
17:14 the australian univorsity's talk about "the vector algebra war" - the clifford algebra - 2^n types of numbers for n dimensional space.
@christophergame79777 ай бұрын
Bertrand, Bernard. It seems that it's bERnəd in England, bərnARd in the US. It seems that its bERtrənd in England, and mainly bERtrənd and sometimes bərtrAnd in the US. Capital letters here denote stress (louder).
@tactics40 Жыл бұрын
Good to see the creepy cult of Clifford is still beating that dead horse. Clifford algebras are quaint, and are surely useful when you want to calculate things by hand. But they conceptually smoosh things together and leave weird degrees of freedom that aren't physical. It's more important students of physics and engineering understand the difference between points and talent vectors than to know geometric algebra. Until we no longer risk of adding Chicago and Paris together, these things have only marginal value.
@LowestofheDead Жыл бұрын
As an engineering student, GA has huge pedagogic potential - mostly because it has intuitive and natural geometric interpretations. Like the speaker said, every human lives in 3D space and has a brain developed to process spatial information much faster than symbols. It's simply a more efficient channel. Instead, myself and millions of other students have to memorize rules to shuffle symbols - rarely knowing what we're adding together or why. It also saves students from learning five different redundant notations, though it's useless to current mathematicians and researchers who are already used to those systems. Honestly I doubt GA will ever catch on no matter how many benefits it has in education. In a way it's like the metric system; which is easier to learn, much better for international coordination than a thousand local units... but it's useless to remote villagers who already have their ancient weights and measures.