Hey, I'm Nathan Dalaklis and this is CHALK! I am a Mathematics PhD student and my videos are primarily "mathematics with chalk" along with some math PhD updates. In these chalk math talks, I go through things that I find interesting in mathematics, whether they be proofs, algorithms, or maybe a look at some higher math concepts. I've always been a fan of chalkboards and of mathematics, so might as well be doing math on a chalkboard :D. Thanks for watching! (I try not to talk about the birds video...)
That set had three elements, representing the integers 0, 1, 2. So 'second' (2 as an ordinal) is the third element in the set. If I understand it right.
That's quite the surreal timing achievement, at the exact 5 minute mark. (PS: As an Österreicher (Austrian), my heart bleeds when an ö is pronounced as if it were an o.)
Showing the correspondence that way was incredibly enlightening and shows exactly why there's that "flipping" when chaining the automorphism groups. This is awesome! Thanks!
Great topic for a video! If you like probability distributions, perhaps you'd enjoy considering the geometry associated with mapping a disc to a "regular, equal-sided" 5-pointed star (e.g.). The integration might lead you to consider Beta distributions from probability. You'll start to find Gamma functions play an important role in some of these Schwarz-Christoffel mappings.
Unfortunately, everything other than "more math" has just a tangential connection to math. In my experience, these career fields generally want actual expertise in their particular field. It was very difficult to get my first job in programming with my math degree a couple years ago, and I think now it would be even harder.
"Math can be considered a foundation for a lot of jobs out there today"? Huh? I've spent my life working in IT, and I can tell you you can get a six figure job as a data analyst - and you *do not need* Calculus, much less Algebra, Trigonometry. I would entitle this video "Math Propaganda for Dummies". The speaker is beholden to this propaganda because he is a) good at it, and b) he admits his parents made money tutoring kids in it. The applications he describes on the chalk board are not widely available positions in our economy, btw. In my experience, Aeronautical engineering is the one field where applied Calculus is still of use.
Can the "Law of the Excluded Middle" be established on the basis of the "Law of Identity" and the "Law of Non-contradiction"? Or must one accept all three Laws together as axiomatic? JPB
Hi Nathan, I knew your feelings. I failed application twice and by the end of year, I will do third one. I always believe I'm good and I like math though the resutls were cruel... Congrats to you.
Woohoo! I'm proud of you, dude! I'll check out the paper on arXiv as well when i get a chance, it's far out of my depth but that's why i appreciate watching your videos so much! They teach me a LOT about a topic that's just adjacent to mine (largely working with smooth manifolds/varieties, and knot theory/braid groups) in a way I find has just the right amount of rigor. :) Great job on the talk, btw!!