The infinite life of pi - Reynaldo Lopes
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- Опубліковано 9 лип 2013
- View full lesson: ed.ted.com/lessons/the-infinit...
The ratio of a circle's circumference to its diameter is always the same: 3.14159... and on and on (literally!) forever. This irrational number, pi, has an infinite number of digits, so we'll never figure out its exact value no matter how close we seem to get. Reynaldo Lopes explains pi's vast applications to the study of music, financial models, and even the density of the universe.
Lesson by Reynaldo Lopes, animation by Igor Coric.
Doctor: On a scale of 1 to 10, how would you rate your pain?
Patient: Pi.
Doctor: Pi?
Patient: Yes, low level, but never ending.
ctrl c
ctrl v
Great comment
@@mundane3809 😂
So basically your rating it close to 3
Perfect
Why didn't they just make the video 3:14 long
Steven Gip nice Pun
Great pun bro
Hahahhahaahhahahahahhahahahha
:)) LOL
Or a 3.14159....69420.......... long minutes
" My son is Pi years old!"
"Wow! That can't be real! Pi is infinite
"He's three..."
"Wow! That can't be real!" So he's i years old.
Nice
ohad the king and nevo123123 nice
It's a common mistake many people make.
it last for 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If I wrote a random string of numbers, would it be some part of pi, somewhere? For example:
675385898439108439
+Still Just-Me yes it would, theoretically
+Still Just-Me not theoretically. It definitely would happen eventually.
+Still Just-Me
Nobody knows
*****
Not necessarily.
+Still Just-Me yes, it would appear because of entropy
you're telling me I can eat an infinite amount of pie? what a world we live in
no... you can eat infinite pieces of pie! hooray! (flies away on golden skateboard)
TheUnknownBlock I'll trade you pi number of dollars if you give me that skateboard
You can eat an infinite number of pieces but those pieces get smaller and smaller and smaller and smaller. So you'll never be able to eat more than 3.2 pies.
According to Vsauce's video called "Supertasks", You can cut and then stack a normal pie infinitly, But every piece will be half of the previous piece, So the pie itself isn't infinite.
Would it be crazy if someone tries to calculate π to the power of googolplex!!!!?
I love how these videos are ad free
I'm guessing u aren't a great mathematician
Define "Great" and no I'm not a Magician.
ummm
an important or distinguished person.
I'm definitely important.
The real reason why "only the first forty or so" digits of pi are used is because, while a _perfect_ circle has an irrational circumference length, most actual circular shapes are made of ordinary matter, which is, in turn made of a _finite and rational_ amount of _atoms._ This means that, no matter how long the actual number of the circumference is, it _has_ to be rational because the circle can't get smooth enough to become irrational.
So, if you want to be romantic and authentic, you just need to say: "I love you till pi ends"
so, technically 3.2 is greater than pi
Yes.
XD
3.142 is greater than phi
Jaeden Vaithianathan
Yeah I heard about that, and the guy wanted to patent it but would’ve let Indiana have the right to use it for free, real nutcase
Or 3.1415926535897932384626433832795028841972 is great than pi
a ratio that leads to a number that can't be expressed as a ratio of 2 whole numbers. brilliant
***** That's not true. You cannot use percents like that, it's just for countable things.
***** Pal, I'm sorry but you're wrong. You cannot use percents in this case because you cannot talk about "random picking a rational number in the real number pool". That does not make sense because you're talking about a continuous random variable, not a discrete one. You should know that a continuous random variable has a probability density function, not a probability mass function, and the probability for picking one specific value of a continuous random variable is always zero, no matter the cardinality of the infinite. So, random picking a rational number x in the real pool is zero, the same as random picking a irrational number y. You cannot say that y/x=1, that does not make sence because they're both zero. That's to say, you cannot talk about percents or probability here, but you can talk about the cardinality of the irrationals being greater that the cardinality of the rational. That's it.
Ratio then
Guy memorized 67,000 digits
Then fines out he only needed to know 40 for his math test
😶😶
You need only 3 for the test
than also realised it is calculator allow test
I Can Memorize Over 50 Digits
No u need just the 3 or 2 digits
So jealous I can only memorize 25
If Pi is infinite, then somewhere in it there is a 100% chance that there is a long line of 1s and 0s the when put into a computer will show this video.
True
No, pi isn't infinite, it's decimal digits are infinite
Giancarlo D'Agostino Ya, ok. Maybe I should said infinite digits long. However, you are not helping at all.
+Kwertiop Sorry, I compulsively correct people even if it's the slightest detail.
+Kwertiop A long line of 1´s and 0´s remember me of the book "Contact" from Carls Sagan
The really irrational thing about Pi is that the notion is predicted on their existing somewhere a perfect circle. Most circles themselves do not actually represent Pi, as they are not a seamless line down to an infinitely infinitesimal sub subatomic scale. The closest any circumference anywhere in the universe comes to this is the event horizon of a super massive black hole, and only when it's surface is not disturbed by feeding. So do true circles really exist?
+Ryan Schneider I'm betting you don't have a girlfriend.....................
a cross section of the brane of the theoretical strings in string theory
all Geography would be relative by that logic,which it might be but it still has practical uses
+Snaiper Suji Mayne i love how you're talking about a circle and have a triangle over your head lol
Perfect circles can't exist in our three dimensional world. An untouched supermassive black hole would be a perfect sphere. If we took a picture of it, would it be a perfect circle? Remember that pixels in the photo are squares, so maybe circles don't even exist here.
1:24 R.I.P. Green guy
1:38 R.I.P. Scooter
i love TED its better then School ...iam not saying i understand everything but well i can always play the video more than once and it makes me think and question more than School...and for me someone with visual memory and imagination these videos are amazing :) sometimes help !e to understand better because i can see it actually :)
Ya ! exactly.
Yes,me too
"It's better THAN school." I respectfully disagree. Signed, A Teacher.
yses
when i was kid in school my teacher didnt explain what Pi is, they just tell us" its a formula for a circle", and when i ask "why 3,14?" they said "Pi is just how it be, just remember it"
The evolution of this mans narration is awesome
Considering the amount of work that went into computing pi in the pre-computer days, it is amazing how fast even low-end computers can compute it. My iPad Air 2 has an app that can compute 25,000 digits of pi in less than 1.5 seconds. The app can compute more, up to 500,000 digits, but the length of time required goes up roughly as the square of the number of digits requested.
The last one really f*cked my mind good.
all my orifices are gaping wide open
Niraj Gupta All of them?
Not really.
but it's not true.
Reza Rizaldy a
I've learned a lot,Thank TED-Ed ! Great teaching methods !
The music at the end gives me goosebumps and makes me feel enlightened.
Awesome content, TEDEducation don't ever go away!
2:31 i came in like a wrecking ballllll
Valentino Ryu, LOL YEAH XD
The Alchemist lol
Licks hammer
Your videos are so interesting that I didn't realized when did it finished!
3:02 gotemmmmmmm
I guess you could call this one, "Life of Pi"
Oscar Jiro, Nope it's Life of Pi Chapter 3.14
I like how simple and creative these animations are. Really helps one understand the idea and concepts of the video. Great work!🖤
Your endings, I love. So fitting everytime.
원둘레와 지름의 비율이 같다는것을 바탕으로 만든 원주율에 대하여 알아보는 시간이 되었습니다. 원주율의 쓰임이 생각보다 많다는것을 배웠습니다. 수학이나 다른 학문들은 더 배울수록 더 배울것이 많아지는것 같습니다. 수학은 참으로 아름다운것 같습니다. 좋은 시간이 되었습니다. 감사합니다. 응원합니다.
That is pretty intense that Pi is bigger than the universe.
It's longer, but bigger, since pi is only 3.1415926536...
Karmiangod no its not even 4 is bigger than pi ._.
it's false
3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420198938095257201065485863278865936153381827968230301952035301852968995773622599413891249721775283479131515574857242454150695950829533116861727855889075098381754637464939319255060400927701671139009848824012858361603563707660104710181942955596198946767837449448255379774726847104047534646208046684259069491293313677028989152104752162056966024058038150193511253382430035587640247496473263914199272604269922796782354781636009341721641219924586315030286182974555706749838505494588586926995690927210797509302955321165344987202755960236480665499119881834797753566369807426542527862551818417574672890977772793800081647060016145249192173217214772350141441973568548161361157352552133475741849468438523323907394143334547762416862518983569485562099219222184272550254256887671790494601653466804988627232791786085784383827967976681454100953883786360950680064225125205117392984896084128488626945604241965285022210661186306744278622039194945047123713786960956364371917287467764657573962413890865832645995813390478027590099465764078951269468398352595709825822620522489407726719478268482601476990902640136394437455305068203496252451749399651431429809190659250937221696461515709858387410597885959772975498930161753928468138268683868942774155991855925245953959431049972524680845987273644695848653836736222626099124608051243884390451244136549762780797715691435997700129616089441694868555848406353422072225828488648158456028506016842739452267467678895252138522549954666727823986456596116354886230577456498035593634568174324112515076069479451096596094025228879710893145669136867228748940560101503308617928680920874760917824938589009714909675985261365549781893129784821682998948722658804857564014270477555132379641451523746234364542858444795265867821051141354735739523113427166102135969536231442952484937187110145765403590279934403742007310578539062198387447808478489683321445713868751943506430218453191048481005370614680674919278191197939952061419663428754440643745123718192179998391015919561814675142691239748940907186494231961567945208095146550225231603881930142093762137855956638937787083039069792077346722182562599661501421503068038447734549202605414665925201497442850732518666002132434088190710486331734649651453905796268561005508106658796998163574736384052571459102897064140110971206280439039759515677157700420337869936007230558763176359421873125147120532928191826186125867321579198414848829164470609575270695722091756711672291098169091528017350671274858322287183520935396572512108357915136988209144421006751033467110314126711136990865851639831501970165151168517143765761835155650884909989859982387345528331635507647918535893226185489632132933089857064204675259070915481416549859461637180270981994309924488957571282890592323326097299712084433573265489382391193259746366730583604142813883032038249037589852437441702913276561809377344403070746921120191302033038019762110110044929321516084244485963766983895228684783123552658213144957685726243344189303968642624341077322697802807318915441101044682325271620105265227211166039666557309254711055785376346682065310989652691862056476931257058635662018558100729360659876486117910453348850346113657686753249441668039626579787718556084552965412665408530614344431858676975145661406800700237877659134401712749470420562230538994561314071127000407854733269939081454664645880797270826683063432858785698305235808933065757406795457163775254202114955761581400250126228594130216471550979259230990796547376125517656751357517829666454779174501129961489030463994713296210734043751895735961458901938971311179042978285647503203198691514028708085990480109412147221317947647772622414254854540332157185306142288137585043063321751829798662237172159160771669254748738986654949450114654062843366393790039769265672146385306736096571209180763832716641627488880078692560290228472104031721186082041900042296617119637792133757511495950156604963186294726547364252308177036751590673502350728354056704038674351362222477158915049530984448933309634087807693259939780541934144737744184263129860809988868741326047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is all I remember (I'm *NOT* a robot)
Karmiangod the numbers of pi is infinite
*Finally! Always wondered what this narrator looked like.*
lol
why is this channel more educational than any school ?
That sounds very tasty.
My teacher: how much is pi?
Me: £1.99 buy two get one half price
1:57 Actually, I saw someone on Scratch (a programming website) make a program to test the speed of your computer by timing how long it takes for it to calculate 1,000 9-digit numbers. I tried it out, it's cool.
i was literally pie years old for a infinitesmaly short time when i was 3.1415... years old.
1:13 "So, when did they finally figure out the exact value instead of just estimating? Actually, never."
It's clear from the rest of the video that you meant no exact fraction or finite decimal representation, but finding a formula for pi is really finding an exact value, and this was also done in the 14th century.
I read the title as "The infinite ... - Reynaldo Loop" btw, Good video
Even though it says in the video that for scientific purposes you only need the first 40 digits or so, i highly doubt anyone has use for more than the first 5. When you calculate something using pi with a computer, it will use 10 or so digits, but you will probably throw away all but the first 4-5 digits from your result anyways.
He means to say that when you need extreme accuracy, you can take the value of pi till 40 decimal place which almost give close practical purpose results in calculations.I know that in high school or even in graduate level courses you don't need that much accuracy in results so you use pi value till 4-5 digits after the decimal .you can compare it with the numericals in high school physics for calculating the mass of proton and neutron in which we take the values like 0.000000000000000000000000000000091 kg in approx while in usual calculation we take such numbers as 0 or 1.or even the planks value is so small but we take it in calculations ,don't we.
***** it's not really the same thing. There a difference between taking into account a number like 5*10^(-20) and a number like 5.0000001*10^(-20). Take a radius of your choice and calculate the circumference using pi to the 5th digit, then using pi to the 20th digit, and see the % error. I am fairly confident it's below 1%.
***** I just tried it with using pi as 3.14 and pi as 3.141592654. The difference was of 0.051%.
yes you are correct but now think if I was calculating something several light years away that percentage error will offset me by several kilometres.Also at smaller subatomic particle level you may know that even a slightest error results in very big at macroscopic level.so while calculating the values containing pi you take long more accurate values.
***** I was using just 2 fractional digits. In reality, you would probably use 10-12 digits. Any decent calculator can use that. You can calculate the error you would get by using 10 digits as opposed to 20 digits.
And the error is usually calculated in percents. For rough calculations (back of the napkin), 5-10% is acceptable. And for precise calculations, 0.0001% or less is more than acceptable, no matter the scale.
how can we say that one infinity is greater than another ?
+Kabir Pankaj because the universe isn't actually infinite. It has a finite amount of mass, although so stupidly large it's pretty much infinite for all needs. Laws such as the conservation of energy simply wouldn't work if there was infinite mass, because that would imply infinite energy. Now we never know, but someone could theoretically find the next number of pi and find out it ends, irrational numbers can only be proven if it can't be disproved after infinite repetition. No one has found the exact value of pi, however it doesn't necessarily mean that it doesn't end somewhere, because theoretically it could all of a sudden just stop having more digits, we're just not there yet.
Are u a studying physics ?
+DreadKyller The law of conservation of mass doesn't break down, there is a finite amount of mass and an infinite amount of volume to put it in.
Dominus Felis your statement makes no sense. There may be infinite volume to put the mass of the universe in, that doesn't affect the law of conservation of mass, no matter where that mass is in the universe it's still that amount of mass, in absolutely no way does the amount of empty space affect the law of conservation of mass.
Either way this doesn't matter, the video compared the amount of digits in pi to the amount of mass in the universe, not the size of the space to put it in, so I don't get what your comment is trying to do.
+DreadKyller whoa there hold on pi has infinite digits. It won't stop, it's transcendental. There's a drip method for any nth digit.
Thanks for answering my question and recommending that video; it was both interesting and informative. Your english is fine.
Commonly seen in Crop Circles is what's known as "Squaring The Circle" but it can tell us much much more than we ever believed possible
2:52 Bad bank.
May I ask, if someone ever finds the true value for pi, right down to the last decimal point, what will be the consequence of it?(will there be any improvement in technology, space research and such)
I know... I am simply asking a what if statement. What if, we suddenly found out that we can express √2 as a rational number? Will there be any real life consequences?
I love the animation in this video.
The last line just blew my mind !!
how to blow your mind
step 1: watch this video
Actually, at the end it should be entire OBSERVABLE Universe!!
Mathias, how do you know its finite, have you been on the edge? )
***** ummmmm not sure if your right on that, I think I read something some where that the big bang is still outputting energy and matter or something
***** I'm a bit foggy on the subject, but "more stuff doesn't get added just because it expands." is (if my memory serves and humanity's current understanding of the universe is correct. By the way, both are a tad rare!) false. Dark energy allegedly stays at a constant ratio to the size of the universe. Which is expanding. Thus, dark engergy "stuff" is being added just because it is expanding. If my memory continues to serve (if it ever even did) then dark energy also causes the universe to expand faster, so more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more and more is always being added!
Game Documentor I'd be happy of you had literally typed that all
Tethloach Bol Since when is dark energy actually stuff?
It's just an intrinsic property of empty space that causes itself to expand.
***** There is no evidence that there is a finite quantity of matter and energy in the universe. It's still a topic of debate among scientist whether or not the Universe stretches infinitely throughout the spatial dimensions.
I've heard this narrator lots of times in many of these TED-ED videos. Finally I found a character that matches his voice.
I really learnt something new! Thanks.
What does pi look like written in systems other than base 10?
Wow....
EvilEddtheRed imagine what it'll look like in base 2
Base Pi: 1
No Suwin, you cannot make a base out of an irrational number.
Minh niềm
🌋🗻🏟😂
PI is not infinite, It is in between 3 and 4, just irrational, like me
ur wrong buddy
Scootis Pootis pi = 3.143... and all those other Number
*3.141592...
3.1415926535...
Irrational numbers have incident numbers in them
ted cartoons are just pure expression of art
Wow now every time on thanksgiving when I look at the pie I say "it's bigger than our universe!"
They couldn’t make this video 3 minutes and 14 seconds??
Does it mean pi has every possible number combination in it?
Yes it does
+Oliver Tremblay But Pi has a countable infinity of numbers in it, so it only has one combiation of countable infinity numbers. It has every possible FINITE number combination, unless I completely misunderstood that hotel video.
well it seems your right
+Abhinav B
No.
Leksius Yeah, if if goes on infinitely with no repeats then it theoretically should. Idk though it is quite confusing.
Also, When the ratio of lengths of two line segments is irrational, the line segments are also described as being incommensurable, meaning they share no measure in common. Source:
wikipedia/wiki/Irrational_number
Because we cannot know for certain the perimeter of a circle, we can only approximate it by drawing short segment of lines along the circle. Our definition of length is the straight distance between point A and B. A curved line can thus be represented by infinitesimal short lines, which if you make the line shorter and shorter, will be more accurate, but you can never pinpoint that actual distance.
Today is Pi day
3.14.15 9:26'53"
Thank you. I always thought the Pi memorization contests were exercises in lack of intelligence rather than a sign of intelligence. There must be a better way for one to spend their time than to do something that a computer will always be able to do infinitely better and by the way, it is practically useless.
You're totally right. Thanks for the reminder.
The equation of a circle is x^2+y^2=r^2 it is defined by the radius, ploar, cylindrical and spherical coordinates also use the radius as a way to define the circle, we never really use the diameter to work with circles.
Additionaly may physical properties depend on the radius, like gravity it depends on the planet's radius not the diameter.
1:38
He fell so hard ...
DOWN WITH THE TYRANNY OF PI! LONG LIVE TAU
Sigma:I'm better than Pi!
Tau: No, I am!
Rho:Long live Rho!
Ípsilon: C'mon, everybody knows Im the best
Omega:No, you are not
Omicron:Exactly, im tha best
Epsilon:What's happening here!
Tau:Nothing!
Epsilon: Whatever, I'm telling Alfa!
Alfa,Beta,Gamma and Delta:Stop fighting
Rho:No!
Some time later...
π:What did I miss?
Digamma: junt every letter dying. Now we, the obsoletes, remain
Stigma:Yep
SamPI:Hello pi, my brother!
Pi:Hello, I missed you!
No dude, pi shall live on forever.
@@theyoutubewizard1126 nah Phi is better
Now the Voice is this Guy
No matter what you do
Yes the smallest measurable unit is the planck length, but u can still slice a planck in half. Yes it is true that the dimensions are curled up at this length but u can still go smaller. As u said it is the smallest measurable length.
There are no quantum computers yet. I'm starting to doubt the credibility of this channel. Anyone found some other examples? I want to learn, but not learn things that aren't true
+Cas Van Veen There are quite a few quantum computers around nowadays. I couldn't find anything wrong with this video. Quantum computers are not readily available to the general public because of programs we are using are decoded in 2 bit information, using a quantum computer would not be any faster (even slower in some cases). The key to using a quantum computer is, they use 2^n (exponential) comparisons instead, which makes them able to carry out many more comparisons quicker with the number of items increasing(increase n, the number gets increasingly larger).
+snuffles1101 Okay, let me formulate it differently. There are no Quantum Computers as he speaks of. The biggest calculation ever done on a quantum computer is 5 times 3 equals 15 using 5 atoms.
*cough* erm, i don't know how else to say it, so, your just plain wrong. I am a student studying computer engineering at the moment, i don't claim to know everything but.... I recommend you look up on wikipedia, quantum algorithms. You've got Shor's algorithm to start with, which is basically integer factorization, yes it might seem like just numbers, but, it lies at the bedrock of programming and the RSA cryptosystem. RSA cyptosystem is a security method using prime numbers to send secure information around to world. Quantum computers offer code cracking, that of which a classical computer cannot due to the sheer size of the prime numbers used for keys to decode the information.
Research has come a long way in quantum computing.
+snuffles1101 Hey, I do appreciate that you want to start this discussion with me. But a true Quantum computer is far from being developed. A normal computer uses transistors which may be around 15 atoms wide now a days. Anything smaller than that and the Heisenbergs uncertainty principle takes into effect which causes atoms to leak away due to the heat producer by such a system like a quantum computer that uses single atoms as transistors. Atoms or rather particles, due to the the laws of quantum mechanics, can be in two states at once and they'll behave like that. Up until now, there has been no way known to man how to trap multiple of these atoms and do complex calculations with them. I've been to Utrecht University in The Netherlands and they are researching this fenomenon at the very moment. They are trying to make a piece of Bose-Einstein matter by supercooling it so all the Natrium ions become alligned and are "facing" the same way.
Even look at Moores law, which tells the amount of transistors doubles each decade or so, it is slowing down and it has not yet reached the level of what a quantum computer needs.
In conclusion, there is no such thing as a quantum computer yet, although I do believe that they could calculate at a much faster rate than silicon computers can.
I look forward to your answer, because this has become a very interesting discussion
+Cas Van Veen You are correct about there not being quantum computers able to calculate pi yet. The formula you would need for this was actually just discovered this year (2015) and has not been implemented to any extent. The feat of calculating 2 quadrillion digits actually belongs to a cluster of 1000 classical computers, courtesy of Yahoo's Hadoop cloud.
arxiv.org/pdf/1510.07813.pdf
www.bbc.com/news/technology-11313194
Tau is better!
+Tomasz Rajek I came to the comments just to see tau being mentioned. :)
Just to be funny; -->TauPi
I was trying to put it in base 2, buuuuuut... effort
smh guys it's all about pau. pau = 1.5pi = 0.75tau
This was released 3 days before my birthday!
That last comment you made Lopes, mind=blown
Is it possible to even find the first digit of tau because you would have to infinitely regroup because pi is irrational and 2pi=tau so therefore pi+pi=tau so does that mean that tau does not have a first digit or any for that matter?
we also use the letter tau for the circle constant ^^
Excellent video :)
I like this animation!
i have always loved the irony that pi is a ratio and yet an irrational number...
Is it irrational in all base systems? Or just in base 10? For instance, would a base 12 system give a whole number for PI?
My friend did 100 dodgers of pi for a 5th grade talent show and after that long time he still remembers it
I'm not a fan of Math but this video is soo relaxing
Nice video!
It's just that they should've added "observable" at the end. The observable universe if finite. The entire universe we don't know.
0:50 - That should be a comma, not a decimal point
1:11 - That should be a decimal point, not a comma
i missed it, what flavor was the pie?
Serious question to the one who studies π. Is it at all possible for the two points to overlap at some point in what is referred to, as time and space? A possibility that we just haven't been aware of the algorithm long enough for it to come back together... Like a timer to an event that I sense is about to go off !!!
Great animation
By the formula given, circumference over diameter would eventually give us 22/7 which is in decimal point form 3.142....
The last line was astonishing
Essentially, Pi is the ultimate way of ‘chasing the dragon’ for mathematicians.
Thanks, really needed this, asked my teacher where π came from and he couldn't answer.
How did we find out Pi was infinite? And also I see program get Pi to X decimal points. How do we know this to be true? And if so, what numbers are these programs using?
The Pi Song, sung to 40 decimal places, by Hard N' Phirm (Chris Hardwick and Mike Phirman) or better yet the female who voiced the robot in their video.
3.14159
2653589
7932384
626433
83279
50288
41971
3:20 as Lopes said, so the universe is limited?
Please make a video on calculus!
What about The Golden Mean? Do you have a video covering all of the many types of Crop Circles of Glyphs? Ya Should
Btw, any series of numbers will appear in pi. For example, 171927287718172811811128922011991 will eventually appear in the digits of pi.
Great video
The last bit. You sneaky sneaky TED
People: remembering over 67000 digits of pi
Me: struggling to remember my family's phone numbers
i just realized that that was kinda confusing so here is an example
3.14 3.1415
+3.14 +3.1515
------- -----------
6.28 6.2830
and the farther you regroup into pi the more you have to regroup before it and therefore for all we know tau could = 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997889867643256768909999999999.13465798984387896543218899087654309999999098765666666665464555554444444678999998698877722323222121111 or something
does this mean the only way to write tau is either using the symbol or writing tau
Beacause in "a/b" "a" and "b" have to be integers, while the circumference and diameter will not be integers at the same time, in other words if the diameter is 1, then the circumference will be 3.14...
People: died calculating decimal places for *trillions of digits*
Engineers: we'll take *π=3*
Awesome thank you
1:11 you used comma instead of decimal point. 3.1415926535
There is nothing deep about saying that you cannot represent perfect mathematical concepts above the quantum level.
Just the fact that things jiggle due to heat and quantum mechanics rule out the possibility of a perfect circle made out of multiple parts. It also rules out having and integer number of anything except particles.