Calculating π by hand: the Chudnovsky algorithm

Рет қаралды 479,271

6 жыл бұрын

For Pi Day 2018 I calculated π by hand using the Chudnovsky algorithm.
en.wikipedia.org/wiki/Chudnov...
k = 0
42698672/13591409 = 3.141592|751...
k = 0 and k = 1
42698670.666333435968/13591408.9999997446 = 3.14159265358979|619...
Watch me do the second term working out on my second channel:
• Calculating π by hand:...
See me do the entire final calculation again (without a mistake) on Patreon:
/ 17542566
Proof that I did actually do it properly:
www.dropbox.com/s/64vc5iz7yt4...
This was my attempt two years ago. Look at how much hair I had!
• Calculating π by hand
The Chudnovsky Brothers used their algorithm to be the champion pi calculators of the early 1990s: going from half a billion to four billion digits of pi.
en.wikipedia.org/wiki/Chronol...
This video was filmed at Queen Mary University of London.
CORRECTIONS
- None yet. Let me know if you spot anything!
Thanks to my Patreon supporters who enable me to spend a day doing a lot of maths by hand. Here is a random subset:
Christopher Samples
Sean Dempsey-Gregory
Emily Dingwell
Kenny Hutchings
Rick de Bruijne
Support my channel and I can make more videos:
/ standupmaths
Music by Howard Carter
Filming and editing by Trunkman Productions
Audio mastering by Peter Doggart
Design by Simon Wright
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
Maths book: makeanddo4D.com/
Nerdy maths toys: mathsgear.co.uk/

Пікірлер: 1 100

@TheApple176 6 жыл бұрын

The accuracy on the first term was brilliant, especially considering that you used the Parker Square root of 10005.

@oscarsmith3942 6 жыл бұрын

Given that the actual is 10.024996, I don't think that broke things too badly.

@skepticmoderate5790 6 жыл бұрын

Oscar Smith I think you mean 100.024997.

@mfhasler 6 жыл бұрын

Well, the continued fraction [3, 7, 15, 1, 292] = 103993 / 33102 also yields 3.141592653... with less effort. BTW, the way he subtracts numbers seems quite complicated to me O_o.

@ChiefStyn 6 жыл бұрын

ROFL

@benjaminwilkin2960 6 жыл бұрын

I think you mean ~100

@musikSkool 6 жыл бұрын

"I am going to calculate pi by hand again..." All I could think was; "You must have a really big, and really round hand."

@davidplayzyt3338 2 жыл бұрын

And he copied all the numbers in a big, round hand!

@Awaclus 6 жыл бұрын

That was a real Parker Square of a division.

@alcesmir 6 жыл бұрын

The division was correct though. The subtraction however...

@davidgould9431 6 жыл бұрын

What seemed wrong to me about the division was Matt's statement at 9:11 "If I need extra bits on the end, I just put zeroes". Surely you have to bring down *exactly* one zero each time. Otherwise, you'll never have a zero in the answer - you'll have invisibly skipped them. Luckily for Matt, (as calculated by calc, see www.isthe.com/chongo/tech/comp/calc/ ): 42698672 / 13591409 ~3.14159275171544024611 and Matt didn't get anywhere near the first 0 of the answer.

@blackmephistopheles2273 6 жыл бұрын

Taking more piss than a racetrack of thoroughbreds....

@tehyonglip9203 6 жыл бұрын

it’s not a parker square, it’s extremely accurate, more accurate than you ever meed

@emilchandran546 6 жыл бұрын

David Gould mate you would get a zero when the two numbers subtracted at the end are equal 0. He just didn’t go that far. The method was perfectly valid. You’re just confused.

@johnchessant3012 6 жыл бұрын

Pi Day is now both Einstein's birthday and Hawking's deathday. :(

@U014B 6 жыл бұрын

It's also Karl Marx's deathday, so it evens out.

@blackmephistopheles2273 6 жыл бұрын

Fun odd fact, Dr Hawking was born 300 years to the day after Galileo Galilei's death. So, come March 14, 2318 we should have an awesome astrophysicist come back around, kind-of like a Halley's Comet of brains! We can only wait in hope, now.

@xf99 6 жыл бұрын

... if the world is still here by then. We live at a time when Hawking is no longer with us and the "most powerful man" on the planet doesn't have a clue.

@alexboltz3081 6 жыл бұрын

Hawking died late yesterday

@xf99 6 жыл бұрын

Hawking died on March 14th in the UK. GMT is named after Greenwich, which is in London, which is in England, ...

@ciahciach 6 жыл бұрын

Mind blown part was the most funny thing I have ever seen

@SchutzmarkeGMBH 6 жыл бұрын

sqrt(10005)=100.025 Parker square root

@sunday87 6 жыл бұрын

More like the first-order Taylor series square root :D

@nikelf1 6 жыл бұрын

It was an approximation, however he was *VERRY* close. Asking Siri (who uses Wolfram Alpha) even she approximate it to 100.025. Using Wolfram Alpha you get the approximation of 100.0249968757810...

@ABaumstumpf 6 жыл бұрын

It is a decent approximation - i think and error of 10^-7 is acceptable to be used in another approximation.

@andrewkepert923 6 жыл бұрын

well, if you use a more accurate sqrt(10005), then you get more π. 426880*sqrt(10005)/13591409 ≈ 3.141592653589734207668453591578

@dzaima4737 6 жыл бұрын

ABaumstumpf he could've has 13 digits of precision on the 1st calculaion if he had used a more precise square root tho

@jimtuv 6 жыл бұрын

The hair, or lack of it, is awesome! I did the same thing last year and it was liberating not to worry about the impending baldness. It's a bit cold in the winter so invest in a cap.

@andy4an 6 жыл бұрын

that converges STUNNINGLY quickly. WOW.

@Gold161803 6 жыл бұрын

weesh It had better: it's hideous!

@41-Haiku 6 жыл бұрын

Gold161803 It's amazing how many interpersonal relationships function more or less in this manner.

@michaelwoodhams7866 5 жыл бұрын

Every iteration gives approximately another 14 decimal places

@marcmaticas 2 жыл бұрын

I find it fascinating that, looking for a good decimal approximation of the number π, you have come up with an extremely accurate approximation of the constant e at 7:25. Although I don't know if it's a coincidence or not.

@adamqazsedc 2 жыл бұрын

Euler number made a cameo!

@Kapomafioso 2 жыл бұрын

:O this blew my mind. Didn't even notice that watching it the first time!

@tanujvishwakarma1395 Жыл бұрын

wow , correct upto 7 decimal places ,nice observations, even this is blowing my mind now

@omaanshkaushal3522 Жыл бұрын

pi and e go hand in hand everywhere.... "Where there's a pi, there's an e"

@dogol284 10 ай бұрын

@@omaanshkaushal3522squares are god's favorite exponents

@deluxeassortment 6 жыл бұрын

Calculating Pi is such an irrational thing to do.....

@VainoOskariAstala81 3 жыл бұрын

Almost transcendental.

@IntergalacticPotato 3 жыл бұрын

approximating it is very rational though

@VainoOskariAstala81 3 жыл бұрын

@@IntergalacticPotato Only in 22/7 cases though.

@rainworldenthusiast 5 жыл бұрын

13:45 the face I make every time I finish a calculation and my answer isnt any of the choices

@__malte 6 жыл бұрын

K= 0 Mind = blown 🤯

@Tomwesstein 6 жыл бұрын

How does my calculator even do it in 0.0001 sec 😂😂😂

@peabrainiac6370 6 жыл бұрын

Your calculator doesn't really calculate it, it's just a predetermined constant.

@heyandy889 6 жыл бұрын

Love it. I want to see him do this with increasingly sophisticated calculation aids. Like if we granted him a slide rule, how much faster could he go?

@convergence9990 5 ай бұрын

Billions must Pi

@Jtking3000 6 жыл бұрын

11:08 It's an older meme but it checks out.

@nathanielatkin304 4 жыл бұрын

its never to late for extanded scenes

@naxzed_it 3 жыл бұрын

11:11

@JohnusSmittinis 2 ай бұрын

@@naxzed_it 11:14

@johnchessant3012 6 жыл бұрын

7:25 27182818 (hmm... seems familiar...)

@LightyNourT 6 жыл бұрын

its the e

@xXTomokoKurokiXx 6 жыл бұрын

John Chessant I noticed that too. Coincidence? ...probably.

@Vedvart1 6 жыл бұрын

I wonder if there's any correlation or if its purely a really unlikely coincidence.

@nobiiru 6 жыл бұрын

e = 3 = pi

@je9533 6 жыл бұрын

I dont think it is a coincidense considering that 13591409 is the number from the formula. So when they defined this method of calculating Pi, they probably took the half of e and multiplied it by some power of 10. Or it's really a super (un)lucky coincidense. xD

@NipunChamikaraWeerasiri 6 жыл бұрын

Next year: Calculating pi using the perfect curvature of Matt's bald head. Looking forward to that one.

@placeboantwerp4312 6 жыл бұрын

Love your work Matt! Strangely nice watching this sort of maths done by hand.

@SubhashMirasi 6 жыл бұрын

Your head shaved look is awesome. Is it pi day special

@baguettely 6 жыл бұрын

subhash mirasi it was shaved in a video he did a few weeks ago :)

@peterfireflylund 6 жыл бұрын

It was just Parker hair, anyway.

@littyfam5136 6 жыл бұрын

He was trying to find the surface area of a hemisphere

@Krong 6 жыл бұрын

Pi R Squared Channel rest in peace

@benoucakar4871 6 жыл бұрын

It's called the Parker hair

@jeffirwin7862 6 жыл бұрын

I'm impressed that you did all this working out by hand, and more impressed that you made it that far before making a mistake.

@scottlott3794 6 жыл бұрын

Wow crazy good estimate on sqrt 10,005! The actual answer is 100.02499, getting 100.025 in a handful of seconds off the back of a napkin was impressive.

@ABaumstumpf 6 жыл бұрын

Na, the approximation was incredible simple - still very accurate though.

@Meodoc 6 жыл бұрын

ABaumstumpf What's the point of an approximation if it isnt incredibly simple?

@ABaumstumpf 6 жыл бұрын

KackBon3rdGen .................... Yeah, no. It is to approximate something. This video even is about Pi - a number that needs to be approximated in most scenarios for the simple reason that it is impossible to show it with 100% accuracy as it is transcendental. An approximation can be complicated for many reasons - fast convergance, easy hardware synthesis, easy to program, or interesting effects. In some cases the approximation can be shown to converge to the real value, but when a specific approximation is used it can cancel out with other parts of the equation making it a lot simpler to use the approximation - which you wouldn't see if you used the 'real' value as a symbol.

@slutskystheorem15912 6 жыл бұрын

The method he used is actually equivalent to a differential approximation. The reason that x2 is ignored is because as x tends to zero, d(x2) /dx is zero

@akhileshjadhav8213 6 жыл бұрын

In india, Even grade 6 students can do this approximations so its not like out of the box maths lol. Illiterate foreigners !!

@Czeckie 6 жыл бұрын

Hey Matt, it would be a great video to show (to some extent) why is there e at 7:25. I reckon it's connected with how the algorithm was conceived. j-invariant and all that

@omikronweapon 5 жыл бұрын

"This is why I pay you the (slight pause) medium bucks!" that cracks me up XD

@tomsmith4090 6 жыл бұрын

Hey Matt, quick observation I wanted to run by you. Today I went back and watched your old video about approximating pi by rolling dice. I wanted to see how accurate this method could be, so I wrote up some code in python to automate it. I was messing around with the variables, like # of sides on the dice and number of dice rolled, and I was trying to optimize it to give the best answer possible. Something that I noticed was that when increasing the number of sides on the dice, accuracy didn't improve linearly. Instead, a highly-divisible number of sides like 30 was more accurate than 31-35, and 36 sides were more accurate than 37-39 sides, 40 sided dice were more accurate than dice with 41-45 sides, and so on. I thought this was really interesting, and was curious if you had any insights as to why using highly divisible dice might increase the accuracy of the program's estimate of pi? Great vid as always, thanks for reading!!

@Treviisolion 2 жыл бұрын

It could be related to floating point errors. The highly divisible numbers have a lot of factors of 2, which are more accurately represented by floating point numbers.

@yoursleepparalysisdemon1828 2 жыл бұрын

Damn both this and the comment are both smart. I’d feel bad not leaving anything smart. My 10 cents are that code isn’t perfect when doing physical things like dice or even doing anything random. Simulations aren’t perfect with it. Or that could be completely off topic.

@jimmysyar889 Жыл бұрын

@@Treviisolion wonder if he used an arbitrary precision module what it would be

@spoperty4940 Жыл бұрын

considering your using the "math" library, thats the problem it can have more errors deviding more. the true way to simulate this is expressing it in a geometrical manner, you can start with an axis and find your way into a circle(which is what we are looking for anyways), this might be the case of the light beam reflection calculating pi(if you dont know what this means, there is a great video about by 3blue1brown i think), but again i might be wrong as im not familiar with this concept. well you commented 4 years ago, so i guess you alrdy solved this so yea gday

@sadhlife 6 жыл бұрын

Well let's just call it parker pi

@ItsJustKorbin 6 жыл бұрын

Always love these Pi day videos

@Prospitfox 6 жыл бұрын

Happy pi day!! I’ve only just discovered this channel and I’ve been binge watching everything up to now. It’s so nice to have math be fun again ^u^

@UltraCboy 6 жыл бұрын

There’s a reason why you’re my favorite mathematician, Parker.

@tristanridley1601 6 жыл бұрын

I see why they used this for a computer. They are especially amazing at division and subtraction. Binary makes it easier.

@vibaj16 3 жыл бұрын

Tristan Ridley mainly because it’s pretty much the fastest converging equation for pi (about 14 digits per iteration!)

@SledgerFromTDS. 4 жыл бұрын

Thanks for the exact 2 year anniversary of the last video that we did or you did to be exact exact exact about this pi calculating video

@kevwang0712 5 жыл бұрын

Compared to that first infinite series video done a few years back, this is a wonderful demonstration of how two different series converge on the same constant at different speeds. Incredible how the Chudnovsky gives you that many digits in just two terms!

@MichaelBerthelsen 6 жыл бұрын

Love the new haircut. Looks great! ;-)

@ronraisch510 6 жыл бұрын

7:25 WTF?? y is e on the board?????

@nachiketagrawal5154 6 жыл бұрын

ron raisch woah, nice observation

@IceMetalPunk 6 жыл бұрын

I've learned enough mathematics to know that it's probably not at all a coincidence, and there's a valid reason that one of the "magic numbers" used in the series work out to a multiple of e/2. But I haven't learned enough mathematics to know what that reason is XD

@ButzPunk 6 жыл бұрын

I think it has something to do with the fact that e ^ (pi * √163) ≈ 262537412640768000 + 744. Someone smarter and less lazy than me can probably figure out why.

@photonicpizza1466 6 жыл бұрын

I'm... pretty sure that's an 8. Unless you're not talking about the glyph on the top row, 4th from the right.

@benjaminv3748 6 жыл бұрын

Naturally it's there ;)

@Hawkeyeblock 6 жыл бұрын

OH YES BEEN WAITING ALL YEAR FOR THIS

@jchandler 6 жыл бұрын

This is good stuff! Keep up the good work!

@broddestrand 6 жыл бұрын

10:53 What you have written down id the correct aproximation of pi to 7 decimal places as the next digit is a 5...

@Jannfndnanakid Жыл бұрын

Chud bros we won

@Robi2009 6 жыл бұрын

Matt's Pi day video - 90% of comments about his hair :) But seriously - whay happened?

@MikkelHojbak 6 жыл бұрын

He noticed a trend and decided to extrapolate.

@sam08g16 6 жыл бұрын

Parker Cancer, it is harmless

@EchoHeo 6 жыл бұрын

Pi R Squared Channel RIP....

@PokeDude1995 6 жыл бұрын

Ivan Mazeppa congratulations, you're the first person in history to make a Parker Square joke that's actually funny

@ElagabalusRex 6 жыл бұрын

He's powering his brain using performance-enhancing radium injections

@alwebbraham8463 6 жыл бұрын

This needs more likes. Love this dude. Thanks for the mind blow

@CsongorVarady 6 жыл бұрын

The mindblow and the sound of silence bits are the quality Standup(maths) this channel is worth watching

@gummansgubbe6225 6 жыл бұрын

And now I know the Parker sphere.

@srgpepper42 6 жыл бұрын

why is he writing decimal points like dot multiplication and dot multiplication like decimal points?

@user-xd5ho5dd1k 6 жыл бұрын

It's a british thing, I know sometimes it may be confusing

@dharsonohartono7992 6 жыл бұрын

@user-xd5ho5dd1k 6 жыл бұрын

Dharsono Hartono, well in my country we use a comma as decimal separator, so 8·56 would be 8,56 (or 8.56) for example. And for multiplying we commonly write this symbol (·), for instance 5.6=30 would become 5·6=30.

@morganmitchell4017 6 жыл бұрын

I'm British and that's not a thing. Multiplication dot is in the middle and decimal point is at the bottom. Also, he's from Australia so that may be why.

@user-xd5ho5dd1k 6 жыл бұрын

Morgan Mitchell hmm, weird, not sure about multiplication sign but middle dot is still used as a decimal separator, usually when handwritten. Source: www.quora.com/Whats-this-punctuation-·-How-can-I-type-it-on-my-computer-What-is-it-used-to-do

@saulysw 6 жыл бұрын

Great vid, as usual. A few genuine LOL moments, like your approximating a sphere.

@Hirudin 6 жыл бұрын

Matt, that was awesome!

@katlin8474 6 жыл бұрын

So sad Stephen Hawking died on Pi day. RIP a great mind :'(

@janSimiman 6 жыл бұрын

WazzupKMS Einstein was born on pi day.

@darknessthebrown1818 6 жыл бұрын

RIP Stephen Hawking, hold one fist in the air tonight :(

@rebelli65 6 жыл бұрын

Yeah, he died today 😪

@TomatoBreadOrgasm 6 жыл бұрын

A damn good run for a sufferer of ALS. He provided us with such tremendous advances in physics that we must be forever grateful, but let it not be said that he was hindered from his goals by his horrible disease. The man will be a legend from now to the end of our species, like Archimedes before him!

@Hamster-vs2wn 6 жыл бұрын

@edmn 6 жыл бұрын

MIND ≈ BLOWN

@Henkecool15 6 жыл бұрын

This video holds surprisingly high value in the meme economy, good work!

@kyleMcBurnett 6 жыл бұрын

Thanks for the ridiculous and ridiculously amazingly pi day video

@DaveScottAggie 6 жыл бұрын

How long did it actually take for the working out? I was impressed with the 3.1415927 on the very first term. That is on the order of 1 millionth of a percent error, which is well within enough precision for many practical applications. The square root approximation was great, too.

@skyscraperfan 6 жыл бұрын

PS: It would be interesting, if it has even one more digit of accuracy, if you used a more exact estimation of the square route of 10005.

@ekinseyjr 6 жыл бұрын

Nicely done!

@reverendmothercheryl2276 6 жыл бұрын

It's not a "brand new hair do." It's a "brand new hair undo!" I love the calculation sequence. It explains the process very well, even with the mistakes!

@wynautvideos4263 6 жыл бұрын

6:22 "42... 69..." and then it cuts away lol 😂

@nberedim 5 жыл бұрын

k=0 is probably good enough to get you to the moon within a few yards of error.

@vibaj16 3 жыл бұрын

nberedim I heard somewhere that 30 digits is more than enough for any practical purpose we will ever need. If I remember correctly, this is because it is approximate enough to be precise down to an atom’s width for the circumference of the observable universe...

@nberedim 3 жыл бұрын

@@vibaj16 I don't know if it's 30 or 40 digits, but yes that's the idea.

@Leyrann 3 жыл бұрын

@@vibaj16 37, if I remember correctly. And that's quite a bit more than any practical purpose will ever need.

@dickjohnson4447 6 жыл бұрын

Great effort, nice work

@Deutschebahn 6 жыл бұрын

re: the approximation, that IS stunningly fast; re: the hair, I just thought "oh thank god he finally bit the bullet and did it" but sounds like you thought "thank god I finally got to do it" haha :). and it looks good!

@SwiftGames_ 6 жыл бұрын

Parker hair

@aarondavis5386 6 жыл бұрын

Do your long division in binary, you can avoid all this "how many times does x go into y" and just have "does x go into y"

@msmyrk 6 жыл бұрын

I've never seen that way of doing division before. And I'm glad we can fairly call it Parker Division after that little off-by-one..

@giulia.accaputo 6 жыл бұрын

Meeting you at the “Curious Incident” was such an amazing day- how can you make maths so much fun?!

@Hepad_ 6 жыл бұрын

So he finally shaved his hair.

@trollwitchdoctor 6 жыл бұрын

This is the stuff. I would love to see (maybe I have to try?) what kind of accuracy you would get by using a slide rule to do the division (and square root).

@MitchBurns 3 жыл бұрын

So I spent a few hours working it out, but I discovered that if you take a regular polygon of N sides with a perimeter of 2pi the percentage of the way from the verticy to the midpoint so that you have a distance of 1 from the center very very quickly approaches about 18.35%. I find it very interesting that not only does this number converge, but it also converges very quickly! It took a while because I had to use the COH trig identity, the law of cosines, and the quadratic formula, in addition to a fair amount of algebra.

@numbr6 6 жыл бұрын

355/113 is about as good as this first term. Probably easier to divide by hand as well. :)

@cringeSpeedrunner 4 ай бұрын

That isn’t part of the chudnovsky algorithm, so yeah a little irrelevant

@doppled 4 ай бұрын

@@cringeSpeedrunner bro replied to a 5 year old comment trying to correct something that didn't need to be corrected

@cringeSpeedrunner 4 ай бұрын

@@doppled Bro tried to correct a correction to a 5 year old comment

@yuvalne 6 жыл бұрын

Is there a GIF version of 11:12 yet, and if not, can I make one?

@DadSkool 6 жыл бұрын

not sure of an equivalent phrase but you shouldn't have a problem using it. Im austalian and it just means that the preceding statement is very straight forward and easy,

@NearCry91 6 жыл бұрын

"Bob's your uncle is an expression of unknown origin, that means "and there it is" or "and there you have it.""

@DadSkool 6 жыл бұрын

Thats a better definition

@Vic-vq4og 5 жыл бұрын

i feel like this would be an AMAZING way to practice reducing mistakes

@zabotheother423 5 жыл бұрын

Next year, calculate pi using the packing fill ratio of a bcc structure (sqrt(3)pi/8). Pack a box with oranges in a bcc structure and calculate the fill ratio. Basically, calculate pi using some fruits and a box

@goose300183 5 жыл бұрын

11:05 - 11:20 - I want to certify this section as an official dank meme.

@stephenmellor5394 6 жыл бұрын

Anyone notice e at 7:25?

@littlebigphil 6 жыл бұрын

[Mind Blown Clip]

@MikeOxolong 6 жыл бұрын

Is it a coincidence?

@stephenmellor5394 6 жыл бұрын

Tazer I would tend to say probably as e and pi appear in lots of places, however, on the second iteration, it doesn't go to e (although it could after lots of iterations)

@MikeOxolong 6 жыл бұрын

@aeden_jacob 3 жыл бұрын

Where is the e?

@alanturingtesla 5 жыл бұрын

The great thing is I always get a present from Matt for my birthday, can't wait for the next one. :D

@G_Milstein 6 жыл бұрын

Happy Half Tau Day Matt!

@zainplan 6 жыл бұрын

Bald Parker square 😎

@san_5726 6 жыл бұрын

Can someone tell me what discovery show does Matt parker do?

@Theraot 6 жыл бұрын

Outrageous Acts of Science, wikipedia says and imdb confirms it

@RyanFlee 6 жыл бұрын

As someone who's also follicly challenged and had to get rid of it's hair roughly one year ago, I commend you to your desicion to approximate the sphere-shape a little bit quicker. It's a tough step but you"ll have to admit that you look so much better afterwards!

@leoniresquim541 2 жыл бұрын

i'm 15 and i'm impressed that i understood the whole video (and the k=2 one in the second channel)

@yoursleepparalysisdemon1828 2 жыл бұрын

It hurts that he puts his decimal in the middle.

@unknown360ful 6 жыл бұрын

HAPPY PI DAY!!! But let's face it, it's no longer happy... RIP Stephen Hawking T_T

@mholber 6 жыл бұрын

so much worth it for the 'mind blow' scene

@HorzaPanda 6 жыл бұрын

The actual square root of 10005 being 100.0249969, so really quite a good approximation. Considering you got 6 digits of pi and your only difference is at the 6th digit that's a really fantastic sequence!

@Cr42yguy 6 жыл бұрын

happy π-day!

@quantumintellect7261 6 жыл бұрын

Cr42yguy Stephen hawking has died (RIP his soul) so it is a day of mourning

@Cr42yguy 6 жыл бұрын

Mythic IQ I know, I just didn't want to mention it in my post. I think the whole scientific community is quite sad about his passing.

@hooyunzhe 6 жыл бұрын

Hello there. Happy (sad) π day! We'll remember you, Stephen Hawking.

@bairdmccarthy3148 6 жыл бұрын

Hoo yun zhe also those kids from Florida

@hooyunzhe 6 жыл бұрын

Yeah:(

@ScottMyersOfTheEarth 6 жыл бұрын

A treat, as every year, sir.

@fasfan 6 жыл бұрын

Well done Matt

@paoloclp3286 4 ай бұрын

lets chud it up rq

@no1brittbarbiefan 3 ай бұрын

sharty rise up

@CrushOfSiel 6 жыл бұрын

Should be the Bloodnovsky algorithm, sounds scarier.

@dirkovic2112 6 жыл бұрын

You look so much better with your new hair(less) style! Strangely enough I think your shaved head accentuates the hair you still have while your unshaven head accentuates the thinning hair/bold spot.

@iTzBullseye 6 жыл бұрын

I would never have guessed that my best laugh of the week would come from a bald british guy filling several whiteboards with long division! Great work matt. Even... if its just a parker square of an approximation...

@fqidz 6 жыл бұрын

I can guess any number you are thinking! 1) Choose any number 2) +1 3) minus the number you chose! 4) BOOM!! The answer is 1.

@harjitsingh7308 5 жыл бұрын

*cries in spanish*

@BarneyKB 6 жыл бұрын

how can you calculate how many digits are certainly right without already knowing pi? is that possible?

@jonsverredyrkolbotn2978 6 жыл бұрын

Assuming you know it goes to pi, but you didn't know pi's value. If the difference between the approximation of pi including the k'th and (k+1)'th term is less than 0,000 000 000 5 (5 at the end as you might round up), you know the k'th term has 10 correct digits

@Zalied 6 жыл бұрын

the easiest way is keep going and going. so if say first run we get 3 second 3.15 third 3.14159...... you start seeing which numbers stay the same farther and farther. and those must be accurate. thats the easiest way but of course means your last calculation you wont know how many digits are correct but youll know most. it also helps when you prove your formula actually gets pi

@bernice_anders Ай бұрын

i never saw your videos with hair so you look great

@AnssiArpiainen 6 жыл бұрын

Fantastic hair and the best possible way to celebrate pi day!

@cinnion 6 жыл бұрын

Matt... great to see you using the same tricks I have been using for decades, including the massive division... And yes, it is sad that it is both Einstein's birthday and Hawking's event-horizon day. Yet another tie between two great individuals.