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Number Systems Invented to Solve the Hardest Problem - History of Rings | Ring Theory E0

Кадры Number Systems Invented to Solve the Hardest Problem - History of Rings | Ring Theory E0

Описание Number Systems Invented to Solve the Hardest Problem - History of Rings | Ring Theory E0

Коментарии Number Systems Invented to Solve the Hardest Problem - History of Rings | Ring Theory E0

Please the pronunciation! It should be that Ring <> Rng <> Rig! It is very confusing, consider that most of the person looking to your video has not English as a mother language Comment from : Stefano Torelli

This video is so good It feels like it was made to perfectly cater to my interests and current level of knowledge I’m so glad that I found your channel Thank you Comment from : Bongo50

Grateful I'm not going to have to study all that for a test at the end of the week! Well done Comment from : Peter Sieck

Loved the video (aaand the american unit system opinion😂) Comment from : riccardo manfrin

You know, red is an auspicious color in China, which is why it is used to represent good, positive things Comment from : UpAndOut

I don't like the infinity from 0 division because it loses information Id personally call it a new number with the divided numbers value as metadata So you can still compare sizes etc and even get back from the conceptual infinite size Comment from : jklw10

I need episode 2!!! Comment from : a weeb that loves math

wowbrmind really really blownbrthanks Comment from : modolief

How does geometric algebra fit in this? Comment from : Frederick Mellem

Arabic numerals not going to be mentioned? Comment from : Tooryalai Maqdoor

Such a nice ring theory primer!! 👏🧡 Comment from : 05 degrees

23:49 gravity coil Comment from : Max van Gulik

"One ring to rule them all"brNot according to Number Theory! Comment from : asmithgames

4:59 you just had to use those numbers 💯 Comment from : popescu cristian

Overwhelmingly informative Thank you May I suggest less content in each video 5-10 mins each? Comment from : RICHARD NEIFELD

Too fast for me to follow But so enlightening to prove me once again that I know nothing compared to what there is to learn still Comment from : Vincent Dermience

Nice Comment from : Daniel E

Was this video written by an AI? Comment from : ChonchJohnch

I love how league music is playing in the background Comment from : The Zectorian

In the very simple game of Four in a Rowthe ability of the computer at the highest level being able to dismiss you of a win in every game That means you can draw if your lucky , shows something in the analysis of this type of problem Is there a mathematics to this ? And if so why does the player lack the innate mathematics to apply ? Comment from : John Dunn

4:20 Zero also counts as neither prime nor composite as there is no unique factorization of 0 Dividing 0 by any integer gives an integer (0), so in effect zero is divisible by ALL integers Comment from : David Nuttall

Is the background music from LOL? Comment from : Yiming Qu

N contains 0 Comment from : piti99_

what do you make these animations with? Comment from : csehszlovakze

Scandal confirmed: Number theory is rig-ed Comment from : danR

Worth watching couple times Comment from : Shenghui Yang

This is a bit over my head, I couldn’t really follow along with anything that came after “since the beginning of human language…”brStill a good video though! Probably! I mean it could be complete gibberish for all I know but the other comments seem to agree that it’s good! Comment from : Oberon

this theory is the basis of AES crypto algorithm AES is designed on a finite field of BYTEs (integers in [0, 255] ) Comment from : Ex life

Thanks! Comment from : Thomas Schoenborne

Awesome video More please! Comment from : PlasmaFuzer

This is excellent I learned a lot in a short space of timebrbrThank you Comment from : John Small

Just realized there was league music playing in the background Comment from : Matt Warwick

Europeans discovered real numbers Fixed it for ya! Comment from : Gav Asia Robinssson

What is isomorphic structure og R[x]/(x2) ? Comment from : wangsung chen

What Videos do I need to watch before this one so I can understand wtf is happening? Comment from : Matt Ion

Actually should add Babylon not india/china … also complex number come with x^3 … brLost a bit credibility Comment from : KWC Coin

Me on the first half: Uhummm all makes sensebr Me on the second half: Wtf, I will need to watch this again and read a book about it Comment from : Nicolas Reinaldet

I have a higher math education and I barely understand this video But the comments are all positive, so I wonder if I forgot how to take new information of if the commentors have most of these concepts already in their heads Comment from : Stdvwr

I am in awe To be exposed to the greatest minds in math is a transcendental experience Comment from : Steve Starcke

"as stupid as american units are" -- calling my congressman to see if we can get an airstrike on your country for that remark! Comment from : Al Quinn

As stupid as american units arebrbrbrbrGod! I spilled coffee 🤣 Comment from : Mausam Ray Chowdhury

I got a little lost on some parts, but it was definitely worth to continue watching! This was so interesting! Comment from : Game Of PJ

Woww great video, I forgot how much I loved ring theory Comment from : Max Hofman

34:25 Another term that can be used is "skew field" Comment from : seneca983

4:57 ay i saw what you did Comment from : cd5050

#Some3 Comment from : CJRM15

Much in the video was on ideals My interest, however, is on the complements of ideals, filters, because I've found a connection between them and cognition I wish there were any videos on filters Comment from : Wafikiri

American units stupid? Really? I switch off at this point Comment from : glenn832

I loved the video but to be honest, I feel like I only got it because I have a masters in maths lol Comment from : minch333

Great video! Many thanks! Comment from : Jörn-Michael Bartels

Ring rang rung Comment from : FatiTank Eris

Thankyou, that is a very good educational videobrNeed to watch it several times though, but that's good 👍 Comment from : tomctutor

why you abstract the arabic (Muslums) about Zero, and now you are using it, I don't know why you fear to said Arabic invention, as you are giving scientific facts Comment from : MrGeomTech

as someone who was struggling through some other videos about the quaternions, I am sufficiently glad this video is only 5 days oldbrbrhaving said that, great video! Comment from : Robert Adonias Costa Gomes

What a tour de force I learnt a fantastic amount here in a very enjoyable way without being mired in detailbrIn this field, you truly are the bLord of the Rings/b Comment from : Declan Brennan

The Art of Teaching applauds you! Comment from : Proscionexium

What happened to “ring with unity”? Comment from : James Marvel

This video is about mathematics so what is the purpose of insulting Americans? I believe other countries besides us also still use that system We use division and multiplication by powers of 10 extensively just like the rest of the world, but we don’t have a problem dividing by powers of 2 like you evidently do A unit of measurement is simply that, a unit Whether it’s a meter or a foot is irrelevant, the math is the same Both units are arbitrary and defined by man Anyone can create a measurement system based upon anything they like As long as the math works out, the results are the same We use imperial and metric, so what! It doesn’t affect you in the slightest so why are you people so obsessed about it? Get over it already! Jeez!brbrOther than that, it’s a good video Comment from : lkw

While the two concepts are the same for the integers, -5 can only be written as an associate × a unit makes -5 irreducible, not prime Comment from : Undefind

Please don't write "Square root (-1)" - actually V(-1) It hurts mathemathematics! Root symbol must NOT be used with negative numbers at any time Comment from : Philippe BRIDET

이 영상을 너무 빨리 봐서 다음 영상을 기다리는 것이 고통이다 Comment from : 김완기

He denies that Europeans knew anything and says Americans are stupid The man is a hateful racist He must like because he hate his audence Comment from : Tom Tom

Such a wonderful video Please keep at it! I feel like I've just realized for what purpose those thick algebra books are so meticulously categorized!! Comment from : dh y

Great video I think it would be even better split into smaller parts Comment from : Holothuroid

4d ago Comment from : YEW CHENG YIN Moe

Maybe I'm not good enough at math yet, but I found the explanations towards the middle of the video to be hard to understandbrI've rewatched from 22:45 like 10 times now, and I feel like if completely missed what "principled" means in this contextbrbrFirst half of the video was fantastic though! Comment from : snad

In China and other eastern countries, a stock going up is shown as red, and green is down Comment from : Kevin Luo

The summoners rift soundtrack just makes it even better Comment from : Fujiwara Lucas

Cool stuffbrWhat software do you use for the visuals? Comment from : Zersetzor

Really, stupid? Ass much? Comment from : Tensor Tab

Amazing video, somehow you managed to cover so much ground in this video while having it remain intuitive and understandable I never realised how interesting rings and fields were Comment from : Nice

Faggy balls brbrDrench sweaty cheeksbrbrWith a salty, inaccurate spraybrbrOf wasted seed brbrA watching god brbrWith stomach abounding sicknessbrbrFrowns Comment from : Transmanfan

You accent sounds like a lazy ignorant asian Comment from : Tadesan

Needs more of an interesting narrative and engaging animations imo But it's interesting Comment from : MB

What's the deal with the French dude that thought that beauty was leaking out of the universe? Comment from : Kai Marmalade

Holy shit dude this video is awesome Congratulations on your incredible work You instigated my curiosity about number theory Thanks a lot Comment from : Thiago Maia

in the beginning of your video you talk about India and China you do it for every country? Comment from : weeb

Please use time stamps Comment from : scuffed math

Wow, great visuals Comment from : Authentically Superficial

i like the shout out for 3b1b, however mathologer made really nice video about same subject Comment from : mienzillaz

While the Twin Prime Conjecture is technically still unsolved, it feels a little bit weird to include on the list since a slightly weaker but essentially equivalent conjecture has been solved since 2013 Comment from : Aaron Fisher

i wish this video existed 8 years agobrgood job man Comment from : Richard Cheney

Using Z[2^-1] for sizing things (as opposed to measuring things) isn't particularly stupid as it uniformly fills in the space at a convenient rate With regards to sizes of manufactured items, the numerators is rarely greater than 10 and usually <6 regardless of the numerator because, as things get larger, so does the insensitivity to being the ideal size brbrUsing X[10^-1] isn't fundamentally any more sane and tends to fill things in too quickly Comment from : Benjamin Shropshire

The content and organization are very nice Some proofreading by someone that understands plurals, articles and verb/subject agreement would have made it much easier to listen to Grammatical errors are more than annoyances, they can change the meaning of the phrases Also it was unnecessary to insult the fractional system of measurement used in America, an by implication insult all Americans "Stupid" is not a polite word It generally denotes an opinion, not a fact It is inappropriate to use in a professional context Comment from : Chuck Grant

Awesome video! One point that could be improved is your usage of the plural ("complex numbers" instead of "complex number") and "the" ("using the chinese remainder theorem" instead of "using chinese remainder theorem") Comment from : Ruinenlust

As impressive as this video is I'm just confused as to why I can hear summoners rift in the background 😂 Comment from : Kzxo500

Lot of definitions Comment from : rob morgan

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