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@eliotbehr2542
A legendary, humble individual...
Комментарий от : @eliotbehr2542


@elonmusk3073
Can we not think of the partition as an object and permute the now n +1 objects ?
Комментарий от : @elonmusk3073


@MultiDman2011
I’m a little unclear as to what the x variable represents in the coefficient sum. Does it correspond to the original input?
Комментарий от : @MultiDman2011


@eddie5484
Tetritions?
Комментарий от : @eddie5484


@yogothecutie6862
It was really mean of them to say he had -1/12 friends.
Комментарий от : @yogothecutie6862


@ankitbisht470
0.5 added 8 times also result in 4, and the list goes very long when decimal enters the chat
Комментарий от : @ankitbisht470


@GoodbyeMrChips-do2fl
whether we like it or not, knowledge comes from india. not only their mathematical knowledge inspired penrose, schroedinger, heisenberg, einstein... etc. but even more did their thoughts inspire western understanding of quantum mechanics ( UPANISHADS ).
Respect from IRAN

Комментарий от : @GoodbyeMrChips-do2fl


@lorenzbroll0101
It is one of those things in mathematics that is so bizarre as it intuitively seems straightforward, but is anything but straightforward and very complex!
Комментарий от : @lorenzbroll0101


@leeyenherngcalebpeircess6121
Poland: Flashbacks to mid 1800s
Комментарий от : @leeyenherngcalebpeircess6121


@SleepyLizard
I see that prime number generator in the background 🤣
Комментарий от : @SleepyLizard


@Mike-lx9qn
0:52
2:02: so u shift it, and it gets easier?
2:22: The french way is redundant and more complicated.
2:57
3:34: gimme now.
3:57-4:43: Euler's method
5:23
6:50

Комментарий от : @Mike-lx9qn


@Ana-mv7of
i dont understand what k represent, anyone can help me ?
Комментарий от : @Ana-mv7of


@laszloszabo556
Köszönjük!
Комментарий от : @laszloszabo556


@PC_Simo
I hope the ”x” in those formulas doesn’t stand for the number of partitions of ”n”. That would be circular logic, having a formula that uses the answer, and relies on you to already know the answer. If you already knew the answer, why would you be using the formula, in the first place? If you didn’t already know the answer, then you couldn’t use the formula, anyway. 🤯
Комментарий от : @PC_Simo


@PC_Simo
That partition-sequence also seems to have lots of Fibonacci numbers, lots of primes, and lots of Fibonacci primes; at least, in the beginning. 🤔
Комментарий от : @PC_Simo


@carlsloane9504
RamanUjan or RamAnujan?
Комментарий от : @carlsloane9504


@carlosalexandreFAT
Ramanujan number: 1,729
Earth's equatorial radius: 6,378 km.
Golden number: 1.61803...
• (1,729 x 6,378 x (10^-3)) ^1.61803 x (10^-3) = 3,474.18
Moon's diameter: 3,474 km.

Ramanujan number: 1,729
Speed of light: 299,792,458 m/s
Earth's Equatorial Diameter: 12,756 km. Earth's Equatorial Radius: 6,378 km.
• (1,729 x 299,792,458) / 12,756 / 6,378) = 6,371
Earth's average radius: 6,371 km.

Book: Orion: The Connection between Heaven and Earth

Комментарий от : @carlosalexandreFAT


@alexanderberan77
So there is a (kind of vague) theory about the universe where a number of elements ~10^183 needs to be compressed into a number of ~10^124 elements to Work... Which would be quite a crazy compression algorithm... However I have the feeling, that partitions would make that possible 🤔
Комментарий от : @alexanderberan77


@erobed21
I wonder if there is a way to determine: partitions with unique non-zero positive values in the combination - e.g. 4 can only be 3&1, 5 can be 2&3 or 1&4, 6 can be 1&5, 2&4, or 1&2&3 - and whether it is possible to determine the options for a specific number of parts in the partition - e.g. specifically splitting a number into 2 or 3 segments.

Asking as a Killer Sudoku enthusiast...

Комментарий от : @erobed21


@venkybabu8140
Light circles the earth 80 times before reaching surface ground of earth. So 1000 days ahead of earth days. What is 8 power 8 power 8 power 8 power 8 power 8 power 8. Partitions.
Комментарий от : @venkybabu8140


@brockobama257
What are the other terms!!!
Комментарий от : @brockobama257


@DrDeuteron
what is freaky is that you draw those boxes, say the partitions of N, and then count how many ways you fill them with 1,2,3,...,N so that the number increase left to right and top to bottom....each of those correspond to a subspace of rank-N tensors that is closed under rotations. Moreover, if you take the number permutations in rows times the signed permutations in columns, that tells you how to mix the tensor's indices.

Seriously. How did anyone figure that out?

Комментарий от : @DrDeuteron


@vlahobukovac3417
This man is a hack! Reall scientists use legos!
Комментарий от : @vlahobukovac3417


@widmo2068
Numberphile: makes video about partitions
the Polish kid: The expert

Комментарий от : @widmo2068


@benjamingarrido5494
I am a normal man: I did not understand anything of this Hindu genius, but I really liked your enthusiasm, congratulations.
Комментарий от : @benjamingarrido5494


@abhijeetroy_me_001d2
Salute Ramanujan sir and his imagination
Комментарий от : @abhijeetroy_me_001d2


@hedger0w
What is this exp()?
Комментарий от : @hedger0w


@wiwbiz2
8:04 I think it should be 17k +7 , divisible by 17
Комментарий от : @wiwbiz2


@arupratan1978
Ramanujan said it's Goddess who in his dreams used to continuously write those formulas or results (without proof) and when he woke up he used to write those.

But since he does not have mathematical training he gave those formulas to Hardy and Littlewood to prove it.

What a poor fellow those Hardy and Littlewood were. They probably went mad and half lunatic with those formulas which are direct revelation from Goddess through Ramanujan!!!!

Комментарий от : @arupratan1978


@AMITTIWARI-ly8pv
Proud Indian and Proud to be the Land From where Sri Ramanujan Belong.
🇮🇳🙏

Комментарий от : @AMITTIWARI-ly8pv


@surajsaini6578
Next time when you withdraw money from ATM, don't forget to thank Ramanujan
Комментарий от : @surajsaini6578


@BT_DaddyOP
Today is his birth anniversary..
Комментарий от : @BT_DaddyOP


@mayankgoel8317
Happy national maths day 🥳
From India

Комментарий от : @mayankgoel8317


@luukderuijter1332
upside down in a mirror is just in a mirror but oriented differently. smh i thought you guys were real mathematicians
Комментарий от : @luukderuijter1332


@pramu_dithawickrama_tunga1672
Uni eke dena qadk kran ewa dan mata lawata pisu wage 😑
Sita boken olwa plggdegggghjjuy
Sara ashne ene😣🤔😊😊👍😂😂😏😏😂👍😊😯👍😯🤣😐🤔😊😂😕🙄😑😑😑😑😑😑😑😑😑😑😑😑😑😑😑😑😑😑😑

Комментарий от : @pramu_dithawickrama_tunga1672


@danuttall
1:55 As he is drawing out the various partitions of 4, I start hearing the Tetris theme going through my head.
Комментарий от : @danuttall


@waterbird2686
Why do mathmatitians restrict themselves to the greek and latin alphabet
There are plenty of other symbols out there

Комментарий от : @waterbird2686


@d4slaimless
5:30 I wonder how exactly you do this calculation as both the sum and product are from 1 to inf. So how do you find p(n) from this?
Комментарий от : @d4slaimless


@MrYaroslav210
amazing
Комментарий от : @MrYaroslav210


@uzair3690
Coming here after reading group isomorphism.
Комментарий от : @uzair3690


@brendawilliams8062
On 2 and 19? You could make circles with 818.1 plus .81
Комментарий от : @brendawilliams8062


@HarshavardhanPonnada
It's a shame he lived for only 33 years. This is and will be one of the biggest disappointments in my life.
Комментарий от : @HarshavardhanPonnada


@syedmdabid7191
Would you dare in how many ways the positive integer 100 can be partitioned into 4 parts? ( 3 min.)
Комментарий от : @syedmdabid7191


@arturslunga3415
Duplo was invented in 1969.
People before 1969:

Комментарий от : @arturslunga3415


@EdwardChan.999
I thought this is a Computerphile video talking about the history of hard drive partitioning...
Комментарий от : @EdwardChan.999


@newperve
"... which go back to Euler."
Of course they do.

Комментарий от : @newperve


@nabyly7283
The thing I don’t like, is this idea «  it’s getting more accurate with bigger numbers » are you serious ? It’s getting worst ! The only reason why you say that is because of the percentage, and this is very wrong to me !
Комментарий от : @nabyly7283


@ankit619
How they calculated e^x without calculator?
Комментарий от : @ankit619


@higherbeingX
That Product pi is Capital lettrr Pi while the 3.14..value is denoted by small lettrr pi
Комментарий от : @higherbeingX


@kundankumari2487
The Duplo counting Is a problem which can be solved using Permutation and combination.
Комментарий от : @kundankumari2487


@Divinemakyr
Probably my favourite story of Ramanujan is when G. H. Hardy went to see him, and I'll let Hardy tell the story: "I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one and that I hoped it was not an unfavourable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways.
Комментарий от : @Divinemakyr


@user-vh2pn2ty4d
Driver roll up the partition please. 🎶🎵
Комментарий от : @user-vh2pn2ty4d


@nugboy420
33 years old give or take.... damn imagine if he lived longer
Комментарий от : @nugboy420


@santiagoruvira4827
2:28 I actually do have a favorite footnote from a textbook 😂 it was an economics textbook discussing the concept of “willingness to pay.” The authors used the Minnesota Vikings as an example, saying that each household in Minnesota would be willing to pay a certain amount to keep the team in Minnesota. The footnote said “imagine how much more they would be willing to pay if the Vikings could actually win a Super Bowl”
Комментарий от : @santiagoruvira4827


@ramanujansdevotee2333
The man who infinity is just unpredictable and contains the mind at the level more than the infinity....

Respect Shri Shrinivasan Ramanujan

Комментарий от : @ramanujansdevotee2333


@potatoheadpokemario1931
7:46 let me guess, p(3k + 3) are divisible by 3?
Комментарий от : @potatoheadpokemario1931


@shawn980
Here’s another application for partitions, dividing groups of people into smaller groups.
Комментарий от : @shawn980


@sergodobro2569
Why isn't this video upside down and mirrored?
Комментарий от : @sergodobro2569


@Rudra-go6us
Ramanujan
Комментарий от : @Rudra-go6us


@tombrady7390
okay so Duplo is Lego in USA and Lego is Duplo in UK
Комментарий от : @tombrady7390


@prathyushprathyush7011
He says number, I cry earl grey tea
Комментарий от : @prathyushprathyush7011


@nishantintouch
How many ways we can partition Pakistan ?
Комментарий от : @nishantintouch


@cold_blooded_7998
intuitively, i would have thought, that the pattern would look like this : 5 -> 7 is +2, 7 -> 11 is+4 and then either it would be 11 -> 17, because we always add 2 or it would be 11 -> 19 because we always multiple by 2 of what we add, so the next one in pattern should look like: P(19k +7). Thats what i would think, but of course it does not works, but i still wanted to share this ;)
Комментарий от : @cold_blooded_7998


@ParkeWithoutReverse
Wtf is duplo
Комментарий от : @ParkeWithoutReverse


@drrobotnik5376
Why was Ramanujan a failure? he had no intractable compute by the time he died.
Комментарий от : @drrobotnik5376


@rafaeldacosta8581
I believe Einstein once said something like "If you can't explain it simple, then you don't understand it well enough" - YOU just nailed my friend 👍
Комментарий от : @rafaeldacosta8581


@Mswordx23
Having a favorite textbook footnote is so unbelievably nerdy and I love it.
Комментарий от : @Mswordx23


@peterslattery9581
When you realize if you find p(ń) where ń is the number of atoms in the universe you can find out many different ways the universe can be arraigned
I wonder if a computer will ever be able to figure this out interesting idea

Комментарий от : @peterslattery9581


@piyushdeshmukh4944
How did you calculated accurated value of P(100)?
Комментарий от : @piyushdeshmukh4944


@sohee7597
1:54
Mathematicians: Partitions 😎
Normal people: Tetris :v

Комментарий от : @sohee7597


@TheMgoska
I get it, math is a form of describing our reality, but what’s the practical use of the partition quotation in our daily life? I’m obviously not a mathematician 🙈
Комментарий от : @TheMgoska


@chungus478
Another pretty thing about -1/12 is that it's equal to the gas constant -R
Комментарий от : @chungus478


@kriidy
The French just want to see that "L" that they have been taking in history
Комментарий от : @kriidy


@saidelhilali2486
Right on d do 1
Комментарий от : @saidelhilali2486


@saidelhilali2486
I like do way by do way yu explaeye
Комментарий от : @saidelhilali2486


@saidelhilali2486
You are a genius
Комментарий от : @saidelhilali2486


@smeikandan8507
Proud to be an Indian 🇮🇳🇮🇳🇮🇳
Комментарий от : @smeikandan8507


@benschulz9140
Hardy also taught Freeman Dyson.
Комментарий от : @benschulz9140


@benschulz9140
I wonder what the partition number for the Monster is? 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000 seems a tough one to calculate
Комментарий от : @benschulz9140


@DarkRedman31
I disapponted that there is the newer formula in the video but not explanation about what is x and what is k, because we only want the number of possible permuations, so why two number and which one is the number of blocs?!
Комментарий от : @DarkRedman31


@adespade119
such a fascinating subject...I dont know much about maths, but when I read about Ramanujan I remember thinking this guy was one of, if not the most naturally gifted mathematicians in History. Had very little formal training, and so poor, he couldn't even afford notebooks, so had to use slates to do his calculations on, what mathematical marvels were lost on those slates, though he did of course, keep his best ideas in his three notebooks. Those slates are possibly in landfill somewhere.
Комментарий от : @adespade119


@aceofanimation4325
Duplo is the best way to represent math. Nice 0:56
Комментарий от : @aceofanimation4325


@amruththediscoverer8304
Believe me ,if you discover a correct formula for "partition of any integer(n)" then automatically you discovered a formula for "sum of first 'n' prime numbers ".
Sad reality is upto now(2020) no one discovered it .
Don't worry!!! I cracked partitions and in few years(maybe in 2 years) beast is going to be reveal by me!!!
🙂🙂🙂

Комментарий от : @amruththediscoverer8304


@Kriae
2:00 Tetris!
Комментарий от : @Kriae


@yetanotherchannelyac1434
Thank you. 🙏
Комментарий от : @yetanotherchannelyac1434


@searchmeinyoutube
0:13 Isolated seems new normal now.
Комментарий от : @searchmeinyoutube


@aadityabhattacharya1811
Amazing video even after so many years his work powers the curiosity within me
Комментарий от : @aadityabhattacharya1811


@MrToughbot
second semester of undergrad I started studying partitions and q-series. I've fallen off since major surgeries and the COVID-19 pandemic. This video reminded me of how beautiful they are and how much I loved the maths involved. I swear to get back into it. So much left to be discovered and mulled over
Комментарий от : @MrToughbot


@samchristy6745
Do you have a link to Ramanujan's formula with say the first five terms
Комментарий от : @samchristy6745


@hillaryclinton2415
So in the hunt for big numbers that are consecutive. 123456. P(12power3456789)
Комментарий от : @hillaryclinton2415


@hillaryclinton2415
2:04 tetris
Комментарий от : @hillaryclinton2415


@ADARSHSINGH-iq7bf
At the end of the video I noticed age of this kid.
Комментарий от : @ADARSHSINGH-iq7bf


@golightning291
DUPLOS

Me, an intellectual: It's just large Legos

Комментарий от : @golightning291


@xenolalia
At 10:04 Dr. Grimes says of the classic Hardy-Ramanujan series approximation to the partition function: "in fact it becomes equal [as you include more terms of the series]." However, this is incorrect, as the Hardy-Ramanujan formula is only an asymptotic approximation (i.e., the value of the kth partial sum converges to p(n) only as n --> inf for fixed k, but not as k --> inf for fixed n). It was actually Radamacher who, in 1937 (some twenty years after the publication of H. and R.'s original result), was able to modify their formula to make it absolutely convergent.
Комментарий от : @xenolalia


@ssphotographygurramsriniva5477
caculation of this partition pls show that
Комментарий от : @ssphotographygurramsriniva5477


@davidc5323
what is the difference between probability n! and shuffling?
Комментарий от : @davidc5323


@satishm5260
I still not able to believe that a being on this planet used to live 100 years ago so miraculous that he use to come up with hyper complex equations spontaneously.
Комментарий от : @satishm5260


@Barravian
Any chance there's a video covering the recursive relation summation formula for partitions
Комментарий от : @Barravian


@william2496
How are Partitions different from Factorials?
Комментарий от : @william2496


@KingGrio
I.G. MACDONALD, tu pues, et: tu es moche, même en te regardant à l'envers et dans un miroir !
Signé: les français.

Комментарий от : @KingGrio



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