Maryna Viazovska is awarded the 2022 Fields Medal

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EPFL

EPFL

2 жыл бұрын

Maryna Viazovska has received a Fields Medal, a prestigious honor often described as the Nobel Prize of Mathematics, for her work on the sphere-packing problem in 8 and 24 dimensions. Previously, the problem had been solved for only three dimensions or fewer. Another Fields Medal is awarded to University of Geneva mathematician Hugo Duminil-Copin.
Read more: actu.epfl.ch/news/an-epfl-mat...
Article en français: actu.epfl.ch/news/une-mathema...
EPFL press kit: go.epfl.ch/Fields2022
Chair of Number Theory : www.epfl.ch/labs/tn/
EPFL: www.epfl.ch/
#mathematics #Fieldsmedal #spherepacking

Пікірлер: 318
@TNeulaender
@TNeulaender 2 жыл бұрын
This world of mathematicians - I envy the intellect and ability to work on such abstract cases. And with math it will always be: Sometimes the real world usecase might take a while to be found, but then in the future someone will look back and will thank Maryna. It might be 5, 10 or even 300 years. :)
@generousdrake2427
@generousdrake2427 Жыл бұрын
the real world use case here is found, in efficient data transmission, her contribution will never be forgotten :)
@lucid_
@lucid_ Жыл бұрын
@@generousdrake2427 one thing I love about mathematics is that sooner or later we always end up finding real world applications to the most abstract ideas and results
@DanA-vj4ws
@DanA-vj4ws Жыл бұрын
@@jackgallahan9669 let everyone work only on abstractions and see how long humanity continues. Progress requires doers and thinkers.
@ybrbnf333
@ybrbnf333 Жыл бұрын
@@jackgallahan9669 cause find a job
@keeperofthelight9681
@keeperofthelight9681 Жыл бұрын
Story of Lobachevsky
@theboombody
@theboombody Жыл бұрын
I have a bachelors in mathematics and I haven't been to a gym in 15 years. I still have a better chance of winning world's strongest man than obtaining a Fields Medal.
@Davide_LP
@Davide_LP Жыл бұрын
Yeah, I know, common problem. Just be the best yourself, it's enough
@tfozo
@tfozo Жыл бұрын
Word
@aquamarine4603
@aquamarine4603 Жыл бұрын
@@tfozo ?
@yacinebendimerad3142
@yacinebendimerad3142 Жыл бұрын
Effectively a Bachelor in mathematics is insuffisant to dare to imagine obtaining a field medals, either for you becoming the world's strongest man because of your lack of training.However I disagree with you by the way you're interpreting this like fields medals are inhuman or supernatural they are juste people like you and I, people with discipline, who works hard and are perseverant
@ffc1a28c7
@ffc1a28c7 Жыл бұрын
@@yacinebendimerad3142 lmao, lil' verbose for what you're trying to say there. Just say like "A PhD is generally required to be able to produce fields medal worthy work; it takes significant dedication beyond a bachelor's".
@heywrandom8924
@heywrandom8924 Жыл бұрын
Whoever the editor or editors of this video is or are, they did a great job and they seem passionate about what they do.
@Jamcaillet
@Jamcaillet Жыл бұрын
thanks a lot for you comment, appreciate! 🙏🏾
@heywrandom8924
@heywrandom8924 Жыл бұрын
@@Jamcaillet 🙂👍
@benjaminfrank9294
@benjaminfrank9294 Жыл бұрын
@@heywrandom8924 agree but the music is a bit too loud
@daibangx8696
@daibangx8696 Жыл бұрын
@@benjaminfrank9294 you mean annoying right?
@abhisheksoni9774
@abhisheksoni9774 Жыл бұрын
Yes 😮
@x0cx102
@x0cx102 2 жыл бұрын
Wow, so amazing to see her win fields medal in 2022. I still remember seeing that quanta article way back in 7th grade or so (2016) about when she solved it in dimensions 8 and 24 and how brilliant the proof was.
@Omar-of4tz
@Omar-of4tz Жыл бұрын
it's always a delight seeing female great minds honoured highly prestigious awards! Congrats Maryna and best of luck on your upcoming work
@usptact
@usptact Жыл бұрын
Tremendous respect! Fantastic achievement, Maryna!
@starrsumitsaini8324
@starrsumitsaini8324 2 жыл бұрын
Congratulations Maryna... Love from India 🇮🇳
@jonathanwalther
@jonathanwalther Жыл бұрын
Congratulations! Btw, give the editor/creator of the video a raise! Extremely elegant and a treat to look at.
@Jamcaillet
@Jamcaillet Жыл бұрын
thanks a lot! 🙏🏾
@jonathanwalther
@jonathanwalther Жыл бұрын
@@Jamcaillet Are you the creator? Your yt channel suggests this ;) The blending of the location with the circles/spheres was very sophisticated, the 3D tracking immaculate. And the depiction of the laureate was very down to earth. She seems a humble person. E.g., who's idea was the hat? Is this an item of her?
@Jamcaillet
@Jamcaillet Жыл бұрын
@@jonathanwalther Yes! filmed and edited, thanks for your nice comments. Our campus is very geometric, so I thought it would be nice to use it to picture maths concepts related to Maryna's work, who's indeed very humble. Hat was hers, she showed up with it and we thought it looked great! Very bright and sunny days these days here, so useful as well!
@jonathanwalther
@jonathanwalther Жыл бұрын
@@Jamcaillet Thanks a lot for the insights! Have a nice week.
@Jamcaillet
@Jamcaillet Жыл бұрын
​@@jonathanwalther thanks man you too!
@benzoylmethylekgonin3995
@benzoylmethylekgonin3995 2 жыл бұрын
Congratulations! Always love to see someone contribute to Mathematics :)
@viktorcardona
@viktorcardona 2 жыл бұрын
Congratulations Maryna. Your work is poetry
@francescoghiretti1268
@francescoghiretti1268 Жыл бұрын
Well done Maryna , the world needs people like you
@VirtuelleWeltenMitKhan
@VirtuelleWeltenMitKhan Жыл бұрын
It might be theoretical but even I knew about the sphere packing problem. I read about the solution. Well done, well deserved. This is a achievement others can't even dare to dream of.
@vaishalithakkar2738
@vaishalithakkar2738 Жыл бұрын
Such an impactful work. Congratulations, Maryana🎉
@toddbeamer6131
@toddbeamer6131 Жыл бұрын
Congratulations Maryna Viazovska, and I hope you continue with success!
@WALID0306
@WALID0306 2 жыл бұрын
Congratulations 🎉!! Is a great step to continue growing !!
@DrBrus
@DrBrus Жыл бұрын
Congratulations!! Дуже прємно і радісно за Вас!
@theekshanabandara9293
@theekshanabandara9293 Жыл бұрын
Congratulations Maryna! You deserve it ❤
@zathrasyes1287
@zathrasyes1287 2 жыл бұрын
Great job, very well done :-) With deep respect for the great minds, that live today, have been living and will be living in the future. That's what mankind is all about. The rest of us are just a mere kind of padding material in the evolutionary process of the universe.
@warrendsmith6832
@warrendsmith6832 2 жыл бұрын
I would not agree her work "has no application." The optimal sphere packings in dimension 8 & 24 are used to transmit information as analog signals in a way immune to sufficiently small amounts of noise.
@x0cx102
@x0cx102 2 жыл бұрын
Not as much. The new results don’t have practical implications for error-correcting codes, since knowing that E8 and the Leech lattice were close to perfect had already been sufficient for real world applications. I mean it was guessed that (and there was previously considerable numerical evidence) that those lattices were likely optimal but her main contribution is the proving this theoretical result.
@mathscraw3741
@mathscraw3741 Жыл бұрын
The detail of using the environment, recipient's university, just within the context of the content what the award about is very nice.
@mexicanmax227
@mexicanmax227 Жыл бұрын
You are truly remarkable. Thank you for your contribution!!!!! 🙂
@aatapiap
@aatapiap Жыл бұрын
Love her passion. Congrats!
@anthonymiller6234
@anthonymiller6234 Жыл бұрын
Amazing achievement many congratulations on solving a very interesting problem.
@pitschquitsch6858
@pitschquitsch6858 2 жыл бұрын
Wonderful! I wish you all the best and many more successes!
@ashwanirao7354
@ashwanirao7354 2 жыл бұрын
Congratulations maryna💐💐💐
@jamesfortune243
@jamesfortune243 Жыл бұрын
The medal was well deserved. The sphere packing problems are of more importance than people realize.
@Uri1000x1
@Uri1000x1 Жыл бұрын
The spheres (surfaces defined by fixed distances from a point specified by 8 and 24 coordinates in 8 and 24 space geometry) do pack tightly.
@hjyv.a3903
@hjyv.a3903 Жыл бұрын
Congratulations! Very well deserved
@linmal2242
@linmal2242 Жыл бұрын
How wonderful. Bravo.
@sitrakaforler8696
@sitrakaforler8696 Жыл бұрын
Congratulations to her and the EPFL !!! (also to the team who worked on such a nice vidéo !)
@Jamcaillet
@Jamcaillet Жыл бұрын
thank you very much for your nice comment 🙌🏾
@fmbroadcast
@fmbroadcast Жыл бұрын
Beautifull !!! It's a big step for humanity
@farruhhabibullaev5316
@farruhhabibullaev5316 2 жыл бұрын
Congrats, Maryna Viazovska!
@uyscuty98
@uyscuty98 2 жыл бұрын
Congratulations 👏
@KP-kg2ky
@KP-kg2ky 2 жыл бұрын
Congrats to this genius.
@noorykorky5056
@noorykorky5056 Жыл бұрын
The second woman!! So proud 👏
@runneypo
@runneypo Жыл бұрын
Congratulations to her!
@zevsnoe
@zevsnoe 2 жыл бұрын
Великолепно! Молодчина!
@GandalfTheBrown117
@GandalfTheBrown117 Жыл бұрын
Congratulations Dr. Viazovska! I am sure you will be able to shoulder the responsibility you speak of!
@BlackHermit
@BlackHermit Жыл бұрын
Very good. Congratulations!
@grimaffiliations3671
@grimaffiliations3671 2 жыл бұрын
Congratulation professor
@willypataponk
@willypataponk 2 жыл бұрын
Congratulations!
@innfdtfjord3340
@innfdtfjord3340 2 жыл бұрын
We proud of you, Maryna! Respect from Ukraine!🇺🇦🇺🇦
@rootbuild2028
@rootbuild2028 2 жыл бұрын
Médaille Fields 2022 coalition anti-russe 👎👎👎. Médaille Fields 2022 i'ts not scientific award but politics award .
@o.z
@o.z 2 жыл бұрын
@@rootbuild2028 You are writing anti-russe like it is something bad.
@oliveryt7168
@oliveryt7168 2 жыл бұрын
@@o.z you would suggest that to be "anti Russian" would be a good thing? Imagine if people were against Ukrainians in general, just because too many adore Stepan Bandera, an anti-semite and a leader of a political group that was responsible for the murder of 100k Poles and Jews (majority).
@rootbuild2028
@rootbuild2028 2 жыл бұрын
@@o.z it's bad to give Fields Medal for a problem that does'nt deserve all this intention, unless it's purly politics, like previews Fields Medal
@o.z
@o.z 2 жыл бұрын
@@oliveryt7168 I don't have to imagine. There are approximately 140 million people on the Ukrainian border who want to kill us just because we are Ukrainians and they think that our land belongs to them. They also spread stupid lies, in particular about antisemitism of Stepan Bandera, who had Lev Rebet, a Jew, as Regional Commander in OUN and later the prime minister of the Ukrainian Government in exile. A similar lies we are hearing now about current Ukrainian president Volodymyr Zelensky, who is also a Jew. Yeah, Ukrainians are very antisemitic people(!)
@davidtindell950
@davidtindell950 Жыл бұрын
CONGRATULATIONS !
@erythsea
@erythsea 2 жыл бұрын
Congrats! Well deserved.
@Turbominchia2
@Turbominchia2 Жыл бұрын
of course well deserved. She is UKRAINIAN.
@DexM47
@DexM47 Жыл бұрын
Congrats!!!
@maximgluhov1
@maximgluhov1 2 жыл бұрын
Поздравляю!
@chrisi359
@chrisi359 Жыл бұрын
Congratulations 🎉
@francescos7361
@francescos7361 Жыл бұрын
Thanks I read this essays of course , science and engineer and trees.
@johnchessant3012
@johnchessant3012 2 жыл бұрын
Congrats!
@user-cu9ww9tj4i
@user-cu9ww9tj4i Ай бұрын
매일 매일 이해가 더해집니다.
@mohammedfadel3317
@mohammedfadel3317 Жыл бұрын
Congratulations 🎊 you are brilliant I follow you from Syria and I am always talk about you with my colleagues ♥️
@RSLT
@RSLT Жыл бұрын
@Scriabinfan593
@Scriabinfan593 Жыл бұрын
This is where it all starts, new mathematical discoveries lead to more effective mathematical techniques that will help physicists come up with theories which can lead to new discoveries and inventions in engineering. Mathematicd is supreme.
@MarkCliffeIsGay
@MarkCliffeIsGay Жыл бұрын
Just below this in my feed I have a video from a guy who got famous being the first person to get drunk off of smoke on KZbin. The immediate contrast is astounding.
@folhaverde8298
@folhaverde8298 Жыл бұрын
Divulgando este vídeo em matéria sobre esta matemática e amante da paz, no blog Folha Verde News, go in peace, Maryna, Padinha, Brazil.
@Anna.Bystrik
@Anna.Bystrik 2 жыл бұрын
Happy for you and for Ukraine! Вітаємо зі Сполучених Штатів ! 👏👍🎉🇺🇲💛💙🇺🇦
@AmiroucheKehoul
@AmiroucheKehoul Жыл бұрын
Bravo !
@Arcsinx
@Arcsinx 2 жыл бұрын
Amazing ! Congratz
@henrytoepel4941
@henrytoepel4941 2 жыл бұрын
Herzlichen Glückwunsch!
@sudebmajee3105
@sudebmajee3105 2 жыл бұрын
Congratulations...💐
@dodokwak
@dodokwak Жыл бұрын
Молодец! Поздравляю.
@philippecuenoud2949
@philippecuenoud2949 2 жыл бұрын
Bien joué, enfin une médaille pour un problème que tout le monde peut comprendre.
@Brickolas94700
@Brickolas94700 2 жыл бұрын
😂
@nickel4thoughts
@nickel4thoughts Жыл бұрын
@@Brickolas94700 "tout le monde"?
@philippecuenoud2949
@philippecuenoud2949 Жыл бұрын
@@nickel4thoughts Oui, l'énoncé est facile à comprendre, c'est la preuve qui est difficile.
@AlainNaigeon
@AlainNaigeon 2 жыл бұрын
It's extremely hard for me to imagine a relationship between this sphere packing problem and signal processing !! OMG
@alfhoperaty
@alfhoperaty 2 жыл бұрын
I'm not an expert on this topic but I think there are connections with error correcting codes. You could think of the problem of coding as mapping some words into different points of space, but you want the points to be separate from each other to be able to retreive the signal even if there are small perturbations due to noise. In this setting you would map a word to a sphere in the space and the radius would be how resilient is your signal to noise. Then a question that you may ask yourself is how many words can I code with this method, which is equivalent to a sphere packing problem, i.e., how many balls can I put in the space.
@user-cu9ww9tj4i
@user-cu9ww9tj4i Ай бұрын
저는 세상은 이어져있다고 생각해요.
@mahmudhassan9021
@mahmudhassan9021 Жыл бұрын
Congratulations
@bernardoabreu4910
@bernardoabreu4910 Жыл бұрын
Brilliant!
@poksnee
@poksnee 2 жыл бұрын
Very nice... congratulations.
@purdysanchez
@purdysanchez Жыл бұрын
I wonder if the fact that there are 24 unique 90° degree rotations of an object in 3 dimensions has any relevance to the dimensions that this problem was solved in (8 and 24).
@grimaffiliations3671
@grimaffiliations3671 2 жыл бұрын
Congratulations professor
@locNguyen-jb1vt
@locNguyen-jb1vt Жыл бұрын
Great job
@alec7642
@alec7642 2 жыл бұрын
Amazing!
@SoumilSahu
@SoumilSahu Жыл бұрын
Amazing!! Waiting for the Numberphile interview (I hope she does one)
@mamo987
@mamo987 Жыл бұрын
amazing!!
@deidara_8598
@deidara_8598 Жыл бұрын
This is pretty cool, but what are the practical applications?
@epfl
@epfl Жыл бұрын
Thank you for your comment! At 02:12, she explains that she hopes it could be used to process signals or solve differential equations.
@Stinktierchen
@Stinktierchen Жыл бұрын
Can we replace oranges with apples in this case? Or does the math collapse doing that?
@firstal3799
@firstal3799 Жыл бұрын
Put in lemons
@dominiquetristant4653
@dominiquetristant4653 Жыл бұрын
Congrats👍
@krokenstiv8777
@krokenstiv8777 Жыл бұрын
she is brilliant
@UnathiGX
@UnathiGX 9 ай бұрын
I love Her!
@Lunaeyes8
@Lunaeyes8 Жыл бұрын
Divina ♡
@charlesfgrx6076
@charlesfgrx6076 Жыл бұрын
Congratulations to her. Fields’medal is amazing and what amazes me more is her voice: sounds like Gru in despicable me
@user-cu9ww9tj4i
@user-cu9ww9tj4i Ай бұрын
적어도 우주의 모든 것들이 저의 가능성이라는 사실을 이해했습니다.그걸을 체감할때 괴로움과 기쁨 그 이상이 감정이 저의 내면과 자아를 죽이고 고문시킬지라도 가야할 길이라는 사실을 알았어요.
@___xyz___
@___xyz___ Жыл бұрын
Jamcaillet did a great job on this one.
@yinghuafan7251
@yinghuafan7251 2 жыл бұрын
这个视频的拍的好有创意!恭喜!
@nasnagachannel
@nasnagachannel 2 жыл бұрын
Пишаємось!
@coomservative
@coomservative Жыл бұрын
this could be a scene from Brave New World - “genetically engineered to have highest IQ and optimized for spacial reasoning, she is limited to this campus space and this uniform to keep her free from distractions …”
@its_violet
@its_violet Жыл бұрын
Go girl
@militaryandemergencyservic3286
@militaryandemergencyservic3286 Жыл бұрын
would i be correct in saying the only reason such problems are solved these days (as opposed to hundreds of years ago) is because there are now super-powerful calculators?
@absolutezero6190
@absolutezero6190 Жыл бұрын
You would be incorrect. Computers are extremely useful, no doubt, but most of the real work is done in the abstract. Notice that many open problems didn’t suddenly get solved when computers were invented.
@militaryandemergencyservic3286
@militaryandemergencyservic3286 Жыл бұрын
@@absolutezero6190thank you - that's a thought-provoking reply. However, as with anything I hear - I'll take it with a pinch of salt.
@GrifGrey
@GrifGrey Жыл бұрын
how in the what does someone do this
@serega4087
@serega4087 Жыл бұрын
Очень приятно, молодец
@berraiscomputerengineerig396
@berraiscomputerengineerig396 2 жыл бұрын
Bravo pour cette jeune femme !
@rootbuild2028
@rootbuild2028 2 жыл бұрын
Cette Médaille Fields 2022 et purement politique comme la précédente, le niveau de mathématique est malheureusement en décadence; est cette ukranienne mérite cette médailles pour la résolution d'un problème de boule la réponse est non
@grzegorzlach8581
@grzegorzlach8581 2 жыл бұрын
@@rootbuild2028 Salem Prize (2016) Clay Research Award (2017) SASTRA Ramanujan Prize (2017) European Prize in Combinatorics (2017) New Horizons in Mathematics Prize (2018) Ruth Lyttle Satter Prize in Mathematics (2019) Fermat Prize (2019) EMS Prize (2020)...
@rootbuild2028
@rootbuild2028 2 жыл бұрын
@@grzegorzlach8581 La decernation de tout ces prix relèvent plutôt de décision politique que d'autres choses. Le prix Nobel est un exemple. Comme l'occident tous ensemble pour l’Ukraine. Son parlé de l'utilité de sa résolution des problèmes de 8 sphère. Avec le temps cette médaille perdra tous sa valeur
@VideoFusco
@VideoFusco Жыл бұрын
@@rootbuild2028 Quelles sont vos compétences en mathématiques pour pouvoir vous interroger sur la valeur et la qualité du travail de ce chercheur en mathématiques ? Je parie que vous ne pouvez même pas résoudre une équation différentielle linéaire. Et de toute façon, pour mémoire, les nominations pour la médaille Fields sont décidées dans l'année précédant le prix, les attributions sont décidées en janvier de l'année du prix et communiquées en février aux lauréats (qui doivent garder le secret). Au moment où la guerre a éclaté, tout était déjà décidé. La médaille Fields n'est pas décernée tous les ans, mais seulement tous les 4 ans, et uniquement aux mathématiciens de moins de 40 ans au moment de l'attribution. Le travail pour lequel ces mathématiques ont été récompensées, en 2017 (lorsque les nominations pour les médailles 2018 ont été décidées) était toujours en cours d'examen par la communauté mathématique internationale. C'était donc la première et la dernière occasion (elle avait 38 ans) de la récompenser pour son résultat exceptionnel qui, pour le dire, fait partie d'une question de géométrie ouverte depuis environ 400 ans (et pas encore complètement close car elle n'a pas encore été résolu. pour chaque taille). Enfin, je vous rappelle qu'en 2014 un mathématicien iranien a été récompensé (qui nous a malheureusement quitté peu de temps après), et l'Iran ne me semble pas un pays qui jouit des faveurs médiatiques. À la lumière de tous ces faits objectifs, prétendre que ce prix a été décerné pour des raisons politiques est une idiotie colossale. What are your mathematical skills to be able to question the value and quality of the work of this researcher in mathematics? I bet you can't even solve a linear differential equation. And anyway, for the record, the nominations for the Fields medal are decided in the year preceding the award, the attributions are decided in January of the award year and communicated in February to the winners (who must keep the secret). So by the time the war broke out, everything had already been decided. The Fields Medal is not awarded every year, but only every 4 years, and only to mathematicians under 40 at the time of the award. The work for which this math was awarded, in 2017 (when nominations for the 2018 medals were decided) was still under review by the international math community. Therefore this was the first and last opportunity (being she 38 years old) to reward her for her exceptional result which, just to say, is part of a geometry question that has been open for about 400 years (and not yet completely closed because it has not yet been solved. for each size). Finally, I remind you that in 2014 an Iranian mathematician was awarded (which unfortunately left us shortly after), and Iran does not seem to me a country that enjoys media favor. In light of all these objective facts, to argue that this prize was awarded for political reasons is colossal idiocy.
@firstal3799
@firstal3799 Жыл бұрын
Civilized language please
@SilhSe
@SilhSe Жыл бұрын
🥳🥳🥳
@none_of_your_business
@none_of_your_business Жыл бұрын
Is an additional square left bracket a valid notation for an open interval or is that just a typo? 2:12
@ThomasKundera
@ThomasKundera Жыл бұрын
It is It's the standard way to say "open set". Like the set [2,3[ is "all numbers between 2 and 3 including 2 but excluding 3" (so 3 is not part of the set but 2.9999999... (any finite number of 9) is. ]2,3] would be same excluding 2 and including 3, etc. As ∞ is by definition not closed you'll always (at least for simple maths) find an open for ∞, like ]-∞,+∞[ which would be "all Real numbers".
@TranquilSeaOfMath
@TranquilSeaOfMath Жыл бұрын
The notation [ at the end of an interval is equivalent to ). The prongs of the square bracket face away from the number. This, in my experience, is a regional notation variety. If you read over mathematics papers from different regions you might notice these variations. Mathematics is an international endeavor, we have variations that show up but mean the same thing. Cheerful Calculations!
@bali2633
@bali2633 Жыл бұрын
She looks like an older version of Gretha Thunberg (I don't remember her name exactly)
@YawnGod
@YawnGod Жыл бұрын
This woman has a very beautiful voice.
@GopaiCheems
@GopaiCheems Жыл бұрын
I'm just proud of myself that I even understood what result she proved🤣 Never mind the proof itself
@Keepedia99
@Keepedia99 Жыл бұрын
Can somebody please help me understand why the sphere packing problem, or the solution approach to it is so important? It is impressive, but I do not understand why it is valued. There are plenty of such simple questions we could ask that would be difficult to tackle, but I am unable to see any reason beyond legacy (the way history happened and communities formed) for this and a handful of other theoretical problems to be valued. I can't help but wonder, why don't mathematicians just move on if a puzzle is unsolved for a 100 years?
@michaelkuian2002
@michaelkuian2002 Жыл бұрын
you probably not a mathematician. It is hard to explain it to you.
@vdeligmavdeligma3004
@vdeligmavdeligma3004 Жыл бұрын
There are not many questions that are so simple and so difficult at the same time, they are rare jewels and i think it is that what give value to it.
@AquaWeiner
@AquaWeiner Жыл бұрын
Sphère packing in dimension 3 is very important to consider when u r trying to maximize the amount of cannonballs u can stack in a given space inside ur ship. At least this was relevant in the old days when cannons still shot spheres.
@ondraszstasiak5015
@ondraszstasiak5015 Жыл бұрын
We can easily show how maths impact our world, being the tools needed for most of recents technologicals inventions. However most mathématician aren't solving problem because their are usefull or have a concrete application, but because they enjoy it, maths are for mathematicians no different from poesy, it is an art itself. Moreover, a lot of results which seems purely theoritical and useless found concrete applications decades later, and even if not, to solve a difficult problem, mathematicians have to introduce some new stuff, new smaller results, which are often even more importent than the result itself.
@kayodeoyedele1594
@kayodeoyedele1594 Жыл бұрын
Solving problems like this lay the foundation for other works. It also reminds us about the capabilities of the human mind and further reaffirms our long-held belief that no problem is too difficult for mankind to solve.
@theogonia
@theogonia Жыл бұрын
helal olsun
@peeper2070
@peeper2070 Жыл бұрын
I can’t count to 4
@nan9180
@nan9180 2 жыл бұрын
Неймовірна!
@fazueli13
@fazueli13 Жыл бұрын
Nice
@user-cu9ww9tj4i
@user-cu9ww9tj4i Ай бұрын
우리는 이미 모든 정보를 무의식적으로 알고 있어요.
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