Одну секунду
Что-то сучилось. Попробуйте еще раз.
There's a strange number system, featured in the work of a dozen Fields Medalists, that helps solve problems that are intractable with real numbers. Head to 🤍brilliant.org/veritasium to start your free 30-day trial, and the first 200 people get 20% off an annual premium subscription. If you're looking for a molecular modeling kit, try Snatoms - a kit I invented where the atoms snap together magnetically: 🤍snatoms.com ▀▀▀ References: Koblitz, N. (2012). p-adic Numbers, p-adic Analysis, and Zeta-Functions (Vol. 58). Springer Science & Business Media. Amazing intro to p-adic numbers here: 🤍youtu.be/3gyHKCDq1YA Excellent series on p-adic numbers: 🤍youtu.be/VTtBDSWR1Ac Great videos by James Tanton: 🤍JamesTantonMath ▀▀▀ Special thanks to our Patreon supporters: Emil Abu Milad, Tj Steyn, meg noah, Bernard McGee, KeyWestr, Amadeo Bee, TTST, Balkrishna Heroor, John H. Austin, Jr., john kiehl, Anton Ragin, Diffbot, Gnare, Dave Kircher, Burt Humburg, Blake Byers, Evgeny Skvortsov, Meekay, Bill Linder, Paul Peijzel, Josh Hibschman, Mac Malkawi, Juan Benet, Ubiquity Ventures, Richard Sundvall, Lee Redden, Stephen Wilcox, Marinus Kuivenhoven, Michael Krugman, Sam Lutfi. ▀▀▀ Written by Derek Muller and Alex Kontorovich Edited by Trenton Oliver Animated by Mike Radjabov, Ivy Tello, Fabio Albertelli and Jakub Misiek Filmed by Derek Muller Additional video/photos supplied by Getty Images & Pond5 Music from Epidemic Sound & Jonny Hyman Produced by Derek Muller, Petr Lebedev, & Emily Zhang
so with p-adics, can you have numbers to the right of the decimal as well or is that impossible?
like how we can have numbers off to both sides (1.1) is ...11111111.11 a thing?
The 10-adic numbers (and all composite based adic numbers) seem to have 0 Divisors.
The 10-adic numbers (and all composite based adic numbers) seem to have 0 Divisors.
"An infinite number that is its own square"
Me: 1 is infinite
This is the same way like negative numbers are represented in U2 system 😮
I love maths but this is crazy mind blowing
Fermat's Last Theorem always reminds me of: "I have a really hot girlfriend, but she goes to another school".
I watched this video 2 times and I got to say that spending some time on Brillient really helped.
The 1st time I didn't really get the arithmetic rules and methods of the 10-adics and p-adics.
Thanks to courses like "number-bases" I understood much better the 2nd time.
Nice video, just, why do you split the places with , ? It is so messy dude.... X(
Through this video 30m, he absolutely did a great job of proving that I am an idiot, gotta go get some soup.
This is the mathverse equivalent of stack overflowing
Even though I'm sure this video only scratches the surface of p-adics, I feel like I've ACTUALLY LEARNED something in half an hour and am inspired to learn moreabout something I previously had no particulr interest in. Thanks!
tRaq4aYPzCc&t=17m24s 17:24 that's a good question. Why not?
I'd heard of p-adic numbers and was vaguely familiar with their definition, but didn't know much about their motivation or applications. After watching your excellent video, I'm motivated to learn more about them.
Breathe air
You should had put p-adic numbers in the title. This video would have been easier to find and for people like us who are starting to work with these numbers, this is a great introduction.
breath air
I wonder if they have used the p-adic’s on the Great Pyramids? Imagine the pyramids as the tips on the rest of the p-adic’s cubes
This may sound dumb, but is this number theory?
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