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06.06.2023

2244838639

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21.07.2010

US

Описание видео:

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

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Комментарии пользователей:

Ant

2023-10-03 12:40:18

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?

Team Ruddy

2023-10-03 07:46:47

The 10-adic numbers (and all composite based adic numbers) seem to have 0 Divisors.

Team Ruddy

2023-10-03 07:46:47

The 10-adic numbers (and all composite based adic numbers) seem to have 0 Divisors.

Jordan

2023-10-02 02:51:15

"An infinite number that is its own square"

Me: 1 is infinite

Jopn Thomson

2023-09-30 21:28:19

This is the same way like negative numbers are represented in U2 system 😮

Allan Ng

2023-09-30 04:40:37

I love maths but this is crazy mind blowing

Ross Galbraith

2023-09-30 03:55:26

Fermat's Last Theorem always reminds me of: "I have a really hot girlfriend, but she goes to another school".

Israel Yacobovich

2023-09-29 20:32:59

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.

KEX CZ

2023-09-29 16:36:52

Nice video, just, why do you split the places with , ? It is so messy dude.... X(

Quan Le (VN-Product)

2023-09-28 08:13:03

Through this video 30m, he absolutely did a great job of proving that I am an idiot, gotta go get some soup.

Colter Hochstetler

2023-09-28 05:15:51

This is the mathverse equivalent of stack overflowing

Earl Bonie

2023-09-27 20:05:45

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!

Druppel

2023-09-27 10:29:55

tRaq4aYPzCc&t=17m24s 17:24 that's a good question. Why not?

Poly Hexamethyl

2023-09-27 05:46:30

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.

Luke Obsequio

2023-09-26 23:13:23

Breathe air

Xiox Y

2023-09-25 22:29:01

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.

Noah Gautier

2023-09-25 17:59:32

breath air

ibflyin Jake S.

2023-09-25 16:25:15

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

Lucius Lomax

2023-09-25 00:52:09

This may sound dumb, but is this number theory?

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