Pi Day 2019: calculating π with a balancing beam
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5 жыл бұрынwwwh.umble-pi.com
You can buy my book now!
UPDATE: We are out of beam books!
Behind the scenes video is here:
• Humble Pi by Matt Park...
Get it from Maths Gear and be guaranteed a signed first edition hard back.
mathsgear.co.uk/products/humb...
But it is also available on Amazon.
www.amazon.co.uk/Humble-Pi-Co...
For teachers (or anyone who would like some extra maths to do!) we have made an activity sheet about infinite series which give pi.
www.think-maths.co.uk/pi-sums
Celebrate Pi Day this 14 March (the date is written 3.14 in some countries; good enough for me!).
Check out the fantastic chalkdust magazine: chalkdustmagazine.com
CORRECTIONS
- I’m not worrying about the bending of the beam bringing the forces slightly closer to the turning point. Just getting in before anyone brings it up.
- People are upset I said torque instead of moment. I’m sorry.
- People are upset I said “one over a fourth” instead of “one over four”. Technically I was wrong. But am TOTALLY NOT SORRY.
- Let me know if you spot anything!
Thanks to my Patreon supports who do support these videos and make them possible. Here is a random subset:
David Wagner
Bruce Patterson
Andrew Jarvis
Loren Thomas
Thijs Raymakers
Support my channel and I can make more maths videos:
/ standupmaths
The t-shirt I'm wearing is "Woven" by Ugmonk. The discount code STANDUPMATHS should get you 10% off.
shop.ugmonk.com/products/woven
Music by Howard Carter
Filming and editing by Penguin
Design by Simon Wright
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
Maths book: wwwh.umble-pi.com
Nerdy maths toys: mathsgear.co.uk/
@PenguinBooksUK 5 жыл бұрын
Dear Matt, We’re not angry we’re just disappointed, please do not cut up books, especially ones as fantastic as this ❤️
@jaimojtarpan9051 5 жыл бұрын
@maxnullifidian 5 жыл бұрын
Yeah, it was almost physically painful to watch those books being destroyed!
@benjaminnewlon7865 5 жыл бұрын
Hi Penguin Books!
@MrBioloidboy 5 жыл бұрын
honestly another reason to be disappointed is who cares about where pi shows up if its NOT a circle. 2.873454... as an arbitrary value, shows up as many times as one uses it. I would say matt's fallen victim to not understanding puns. Is it weird we use pi a lot? Sure I guess. But i use 1 a lot more cuz I'm in base 10 and furthermore matts not too concerned about the fact that every time he said pi (as the symbol) he vocalized the phonetic index of "pie" which is just as peculiar as seeing a circe constant in a straight line (a line which also passes around a central point kinda a duh problem as to where the 3.14 comes from where the noise comes from is a better question u can see my open solution in comments)
@ChefSalad 5 жыл бұрын
@@MrBioloidboy As far as the pronunciation of pi goes, unfortunately the correct, Greek pronunciation of pi sounds exactly like pee, which is an English word which means urine, usually used only when speaking to, with, about, or as children. While pie is also an English word, its meaning is much nicer and has something to do with roundness. For that reason, I think we'll be sticking with pi pronounced "pie".
@matthewgilbie4087 5 жыл бұрын
pi day: *exist* Matt: *uses slave labour to fuel his pi-themed addiction*
@ThaiNguyen-bl1pi 5 жыл бұрын
MASHMACHINE well he’s tired of calculating pi himself every year, gotta use that free labour right?
@charstringetje 5 жыл бұрын
Yes, this deserves a book burning. /s
@PromptCriticalJello 5 жыл бұрын
Maybe on Pi day he will calculate Pi with PewDiePie
@PromptCriticalJello 5 жыл бұрын
@HaleyHalcyon (FIZZYn8r) you misunderstand, i mean calculate Pi with PewDiePie in the same way that he calculated Pi with pies(the pastry) although if he could get Felix involved it would be a heck of a signal boost.
@leo17921 5 жыл бұрын
he ain't using slave labor, i think these guys actually want to help with that, noone forced them
@Anonarchist 5 жыл бұрын
'people say "don't destroy books", but actually it's really easy!' things the RI would rather not hear you say in their room full of really old books.
@yettameter 5 жыл бұрын
"We're going to calculate po to *incredible* precision... and maybe accuracy." Ha that's great
@halonothing1 5 жыл бұрын
Pobody's nerfect.
@masheroz 5 жыл бұрын
@@laurendoe168 um, they are totally different...
@creamofbotulismsoup9900 5 жыл бұрын
@@laurendoe168 Agreed, far to many people conflate the two.
@Xeridanus 5 жыл бұрын
@@laurendoe168 implied was the wrong word then.
@jackmandu 3 жыл бұрын
Can you even calculate the precision, as CV, from an n of 1?
@matthewbennett558 5 жыл бұрын
8:15 "Now that's not a problem because... we've decided not to worry about it" LOL, true science/math in action. At some point you have to have the intellectual integrity to admit that there's only so much you can do to make the experiment "perfect" and be okay with that.
@letao12 5 жыл бұрын
The turning point from being a mathematician to being an engineer.
@MichaelMantion 5 жыл бұрын
really wish they would upload with out music.
@ThatLazyyGuy 5 жыл бұрын
Where’s the Parker Square joke?
@KyleJMitchell 5 жыл бұрын
@@ThatLazyyGuy Not here. Where it belongs.
@RanEncounter 5 жыл бұрын
I think it is more like what is the error rate I am happy with, which is mathematically calculatable.
@pony_OwO 5 жыл бұрын
you're a week early, is this a Parker pi day?
@sinom 5 жыл бұрын
Well he did say next week
@Vokabre 5 жыл бұрын
Would be appropriate if the balancing beam calculation was 3.7
@sebastianjost 5 жыл бұрын
@@Vokabre or 3.07
@burgersnchips 5 жыл бұрын
11th of March is this year's Parker Pi Day
@JNCressey 5 жыл бұрын
Piker day
@Wise_That 5 жыл бұрын
The down-curve of your 6.5 book end means that the mass is closer to the pivot, and so imparts less torque. Looks like maybe 10 degrees more curve on that side, so you're only at cos(10deg) or 98.5% of the distance. If we divide 3.11791 by sqrt(0.985) we get: 3.141561 Which is not so bad.
@zacozacoify 5 жыл бұрын
Glen Simkus Also then the beam is imparting less torque too though right?
@Xeridanus 5 жыл бұрын
There's also the fact that the expected result after 12 iteration should be 3.06428781783.
@bca_4321 2 жыл бұрын
@@Xeridanus but the string was perfectly calculated to offset that. remember. /s
@Xeridanus 2 жыл бұрын
@@bca_4321 Honestly, no. This was 2 years ago.
@leov4751 5 жыл бұрын
Pure maths and no engineering = bent beams :-)
@GeodesicBruh 5 жыл бұрын
Leo Vanderdonckt nobody needs engineers
@GeodesicBruh 5 жыл бұрын
Leo Vanderdonckt except for the real world maybe
@V-for-Vendetta01 3 жыл бұрын
@@GeodesicBruh lmao
@force10guy26 3 жыл бұрын
They just forgot to do the math on the beam. Engineers def need maths
@TheTwick 5 жыл бұрын
The string is a ‘massless, one dimensional, Newtonian string’? ;-)
@juweinert 5 жыл бұрын
Why don't you reduce the error to exactly 0.0% by simply redefining π using your books?
@GamerBugsTwitch 5 жыл бұрын
I just did this for my comment. He was missing just 54g of book
@mikewilliams6025 5 жыл бұрын
Ah, the old Parker Estimate.
@hodegetisch 5 жыл бұрын
@@GamerBugsTwitch yes exactly 54.35494707g :)
@Colopty 5 жыл бұрын
Because that would introduce error to a bunch of other experiments.
@MrSealion59 5 жыл бұрын
or blaming the string?
@klobiforpresident2254 5 жыл бұрын
It's been two years since I watched hours of you just tossing a coin? I'm getting old.
@Danilego 5 жыл бұрын
And yet the most accurate one so far was when he just compared the weigh of a cardboard square and a cardboard circle
@Jesse-cw5pv 5 жыл бұрын
The older you get the faster time seems to fly. When you're 10 a year is 10% of your life. When you're 30 a year is only 3.3% of your life so looking back it seems like it didn't take as long as a year when you're 10.
@klobiforpresident2254 5 жыл бұрын
@@Jesse-cw5pv I'd rather chalk it up to the fact that so much is routine.
@christiandevey3898 5 жыл бұрын
Oh my gosh. Has it been that long!?
@GvinahGui 5 жыл бұрын
9:15 Perfectly balanc... no, wait. Parkertly balanced, as all thing should be. That's better.
@NoNameAtAll2 5 жыл бұрын
Almost balanced, but isn't
@Roescoe 5 жыл бұрын
@@NoNameAtAll2 He gave it a go
@SirPhysics 5 жыл бұрын
My thoughts as Matt describes his plan. Matt: For that unit mass we're going to use copies of my new book. Me: Wait. If the book is the unit mass then you'd have to... No. You wouldn't. Matt: *does* Me: You monster. We've gained knowledge, but at what cost?
@johnbennett1465 5 жыл бұрын
My thought path was a little different. When he says he is using the books, my first thought is how freaking many books are you going to use and what the bleep are you going to use as the beam. Then he shows the beam, reality sets, oh he is going to do that 😨.
@erefront 5 жыл бұрын
the book plus shipping costs more than 15% my monthly income, and I would love to have it, which makes seeing the destruction even more painful.
@Ameto 5 жыл бұрын
Seems like Pi Day came early this year
@hOREP245 5 жыл бұрын
Parker Pi Day
@Agirmetal 5 жыл бұрын
Of course, pi = 3.11 in the video
@Plloi 5 жыл бұрын
"That's not a problem because we have decided to not worry about it" What a Parker solution to the problem
@joekoop 5 жыл бұрын
Instead of a calculator, you should use a slide rule.
@guitoo1918 5 жыл бұрын
It was kind of a lucky result. The first 12 terms of the series only gives pi=3.0643
@nienke7713 5 жыл бұрын
So his error to the true value of half tau (a.k.a. Parker tau, a.k.a. pi) was smaller than his error to the theoretical answer of his setup...
@JochemKuijpers 5 жыл бұрын
@@nienke7713 The chance of that happening is 50%
@Ricocossa1 5 жыл бұрын
So it really did weigh more on one side than the other. Flexible beam is to blame (or to thank in this case)
@nienke7713 5 жыл бұрын
@@JochemKuijpers if you'd assume any error equally likely, then yes (except maybe for the case of the error to both being exactly the same which makes both other cases ever so slightly less than 50%, but it is negligible) but if it were normally distributed (and if so we'd expect the peak to be around the theoretical value from the setup) then we'd expect it to be more likely that the difference to the set up is larger than the difference to half tau
@fredovits 5 жыл бұрын
The string adds extra mass on the fraction side, which therefore makes the approximation better
@wuketuke6601 5 жыл бұрын
Yes, they released a week earlier, but 7/365=1.92% so they have actually gotten pretty close
@drakedbz 5 жыл бұрын
So what you're saying is it was a Parker Release.
@misslolitapink 5 жыл бұрын
I preordered Humble Pi already... I hope I will receive it on Tuesday (3.12) which is #ParkerPiDay
@iainwalker8701 5 жыл бұрын
i got mine today
@misslolitapink 5 жыл бұрын
I live abroad. It may help :)
@ReinhardLins 5 жыл бұрын
I LOLed. Thank you \o/
@Prometheus-ow1zx 5 жыл бұрын
You Sir just won the Comment of the Day Award!
@MrSealion59 5 жыл бұрын
I had it brought for me for Christmas. so those of us that got in early don't get this extra, oh well.
@flamebeard10339 5 жыл бұрын
"That's not a problem... because we have decided not to worry about it." :D
@whiz8569 5 жыл бұрын
"I wrote it; I can destroy it." -George Lucas
@leonardovergara5620 3 жыл бұрын
Wasn't it the studio that did the Sequels?
@chrismofer 3 жыл бұрын
im not sure he actually said that but sounds like it's in reference to the prequels, he did say 'you can ruin these things you know' or something like that in a prequel doc. he was very involved with em.
@wecx2375 3 жыл бұрын
Funny
@totheknee 2 жыл бұрын
Low blow. XD
@AbhinavSingh-qk4so 5 жыл бұрын
This is why you always be mine favourite ''a insane physical approach to define a theoretical mathematics which others generally approximate''
@briantaylor9266 5 жыл бұрын
Penguin's approximation of pi (day) is approximately 2% less than the true pi (day). [1 week / 52 weeks ~ 2%] Matt's beam approximation is better!
@macronencer 5 жыл бұрын
I prefer to think of it in terms of percentage of pi day itself, rather than a whole year. Since pi day is 73 days into this year, I make that about a 9.6% error. Far less forgivable!
@macronencer 5 жыл бұрын
@Sebastian Henkins Not sure what you're getting at. 31 + 28 + 14 = 73. Jan, Feb, Mar.
@Houshalter 5 жыл бұрын
@@macronencer March 7th = 3.07 = 23% error
@Houshalter 5 жыл бұрын
Sorry it should be 2.3% error. Original comment was pretty close actually.
@macronencer 5 жыл бұрын
@@Houshalter I hadn't spotted that! Anyway, in case anyone missed this point, I want to reiterate that I was offering a second approach, not trying to correct Brian!
@ianmair6610 5 жыл бұрын
"On Brand". Penguin gets it.
@X_Baron 5 жыл бұрын
You could probably also burn the books, observe how the smoke spreads and calculate pi from that using Monte Carlo...
@bentoth9555 5 жыл бұрын
So Penguin decided to go for a Parker release date and put it out a week early?
@omikronweapon 5 жыл бұрын
I guess they figured people would rather RECEIVE it on pi-day than ORDER it on pi-day? go figure.
@filipengstrom790 5 жыл бұрын
I love your passion for what you do, always fun to watch! Thanks Matt!
@llKirosll 5 жыл бұрын
A book about math errors has to come out on the wrong day, of course.
@_rlb 5 жыл бұрын
Guess I should go back in time to when I ordered your book so I can write Beam on the order form :)
@eaterdrinker000 5 жыл бұрын
I WANT THE BOOK HE WAS SITTING ON.
@pauloandre5901 5 жыл бұрын
That Idea to use a beam was genius lmao
@ASOUE 5 жыл бұрын
I’m glad you addressed the string, that’s immediately what I was thinking when I saw how precariously you were weighing the books.
@msaadnadeem 5 жыл бұрын
Those are some interesting ways to use the power of knowledge. Matt never disappoints.
@Project_Kritical 5 жыл бұрын
I think I've spotted an other problem- Torque= Force*Perpendicular distance. So when the beam bends, suddenly your previous markings in it are now incorrect, which probably messed up the calculation a bit. Either way, loved the vid! And also the maths behind it XD
@parkerlee8071 5 жыл бұрын
I thought about this too! Maybe one of us should redo it! Maybe using a beam with non-uniform mass?
@Project_Kritical 5 жыл бұрын
The only problem would be getting those books...
@DacuberTM 5 жыл бұрын
You don't actually need books. I think this would be better with less mass, as the square cube rule applies.
@moshe778950101 4 жыл бұрын
8:15 Golden phrase for every Engineer ever Maths are beautiful and perfect but usually can’t be applied to the full extent practically.
@JanStrojil 5 жыл бұрын
This is surprisingly precise! Well done. :) Looking forward to reading Humble Pi. :)
@KevinJacks 5 жыл бұрын
I love the pi day videos! Can't wait to get mine in the mail soon
@mrtnsnp 5 жыл бұрын
A slightly smaller pi, an excellent humble pi.
@velikiradojica 5 жыл бұрын
pi squared over 6? You mean 3/2?
@mathpin 5 жыл бұрын
Are you an engineer?
@harshivam208 5 жыл бұрын
@@mathpin i dont get it
@mathpin 5 жыл бұрын
@@harshivam208 it is somewhat of a meme/internet joke to say that engineers overuse approximations (doesnt mean its true, its just a fun joke)...some even jokingly say :"Pi = e = 3"...hope this clarifies my point
@jamierowe8788 5 жыл бұрын
@@mathpin also pi^2 = g
@mathpin 5 жыл бұрын
@@jamierowe8788 also sin (x) = x
@kisaragiayami 5 жыл бұрын
i was working on an animation of the sum of the reciprocal of all natural squares just before you uploaded this video. What a coincidence!
@rishikeshdaoo8255 5 жыл бұрын
You are not just a ray, but a 'beam' of hope for the scientific community. Awesome video :)
@adammullarkey4996 5 жыл бұрын
0:45 One over a ninth? Are you sure? I thought you were supposed to be a mathematician? And, well, you're definitely standing up.
@jamietopp21 5 жыл бұрын
Minor correction! 1 over 2 squared is 1 over 4, not 1 over a quarter. Similarly 1 over 3 squared is 1 over 9, not 1 over a ninth.
@Fingerblasterstudios 5 жыл бұрын
Can always rely on the comments for gold like this that my brain automatically corrected for, thanks
@lunasophia9002 5 жыл бұрын
You are technically correct, the best kind of correct.
@leefisher6366 5 жыл бұрын
Bear in mind that some people would get genuinely confused over this. Matt clearly meant to say 'One over the inverse of a quarter', 'one over the inverse of a ninth', etc.
@gyroninjamodder 5 жыл бұрын
Maybe he meant. 1 over... a quarter
@U014B 5 жыл бұрын
They're Parker Fractions, duh.
@kurotropx1013 5 жыл бұрын
I'm really appreciated in your videos, so I ordered your book - Humble Pi - and got it on Pi Day. 😂😂😂 Thanks, From Thailand🇹🇭
@ronjones4069 5 жыл бұрын
You continue to make math(s) fun
@vann595 5 жыл бұрын
#parkerpiday 3.07
@c.james1 5 жыл бұрын
You mean #humblepiday ...
@janknoblich4129 5 жыл бұрын
12:00
@Xeridanus 5 жыл бұрын
You could also use 3.12
@skyeturner5003 5 жыл бұрын
it's hard not to be precise if you only do it once.
@james78890 5 жыл бұрын
Just been delivered Humble Pi, signed by Matt himself! Love your videos and books and everything Matt!
@standupmaths 5 жыл бұрын
Thanks! Glad you enjoy them!
@james78890 5 жыл бұрын
@@standupmaths no problem! By the way, I think I've found all 3 mistakes in Humble Pi!
@ChavvyChannel 5 жыл бұрын
You can see the production value of your videos have gone way up, good job.
@andykillsu 5 жыл бұрын
At least you posted a video about Pi day this year unlike Numberphile 😕
@he1986 5 жыл бұрын
well, this is a Parker Bok Release, aint it? So it - by definiton -needs to be a little bit off. Just ordered a signed copy, can't wait to read it.
@simonkern8116 5 жыл бұрын
Yeah, BEAM ! Awesome way to calculate Pi!
@cathalmurphy8623 5 жыл бұрын
Always the best bit of the year!!!
@seanc6128 5 жыл бұрын
I was going to ask if the books used in this experiment would be sold for more or less but then Matt went and cut one in twain.
@sinom 5 жыл бұрын
It shows 31 comments. That's about 10 Parker π! (At the same time 666th view... 550th would have been nicer. And 100 likes 1 dislike.)
@sprayingresponsible Жыл бұрын
Just bought your book and reading it know while watching this video. Hilarious!
@OhhhSoooSweet 5 жыл бұрын
Can't wait to read your book
@kalebbruwer 5 жыл бұрын
8:15 Maths has left the chat Physics has entered the chat
@R2Cv1 5 жыл бұрын
0:35 _One over a quarter_ That's four.
@GuidoHaverkort 3 жыл бұрын
You could say this was a humble calculation of pi
@christopherswitzer4685 5 жыл бұрын
just bought a copy! I'm excited to get it
@dr_rich_r 5 жыл бұрын
If everything was done ideally, you should expect an underestimate because you used a finite sum instead of the infinite sum.
@Xeridanus 5 жыл бұрын
3.06428781783 in fact.
@Math5D 5 жыл бұрын
Maybe you should have used an I beam instead of a T beam to avoid the bending.
@elhartzer1639 5 жыл бұрын
I was wondering if you still could use the distance marked on the beam to calculate the torque due to the bending. The bending changes the actual distance to the center of the beam, doesnt it?
@bennylofgren3208 5 жыл бұрын
He should have used a PI beam of course.
@swimfan186000 5 жыл бұрын
Fairly certain I beams aren't available in that size, at least not at a local hardware store. They might have had better luck with square tube stock, but then their slot-in-sawhorse solution would have been way harder. This feels like a good compromise to me.
@aceichner 5 жыл бұрын
@@bennylofgren3208 That would have been, much better, but do they make those as an extrusion?
@aceichner 5 жыл бұрын
Cold rolled steel, ILO aluminium extrusion would have gotten rid of most of the flex.
@andreweberlein1509 5 жыл бұрын
I was reading the corrections in the description, don't worry about calling it torque instead of moment. I have only ever heard engineers call it moment, nearly everyone else in physics calls it torque. Also, can't wait to see what you do on June 28!
@pfish23 5 жыл бұрын
BEAM really liked this method Matt. thanks for the vid
@MarceldeJong 5 жыл бұрын
Where's the link to the Penguin channel? I love behind the scenes footage.
@hansgrettle8240 5 жыл бұрын
1:27 And I thought tau was gonna make a gust appearance...
@wesmatron 5 жыл бұрын
You just tickled my brain. Thanks
@olofandreasson1563 5 жыл бұрын
Can't wait for next year!
@atrumluminarium 5 жыл бұрын
WHAT THE HELL? THAT POOR BOOK 😭😭😭 Edit: those*
@_rlb 5 жыл бұрын
Those poor book? 🤣
@christianbarnay2499 5 жыл бұрын
Those books have died while participating in the calculation of Pi. They have reached transcendence and are now in books' nirvana.
@mspeir 5 жыл бұрын
Children in Africa could have eaten those! 😡
@micahlong2073 5 жыл бұрын
@@mspeir that's dangerously dank for KZfaq
@David__U 5 жыл бұрын
Fun. It looks to me like you had 11 sets of books hanging on the "summation" side. Mathematically, that should have given you 6.232129... instead of the 6.480909... you got. So, the errors you had (due to string, bending, measuring, etc) made you get an answer closer to pi than the theoretical answer (for 11 fractions added together). 1/1^2 + 1/2^2 + ... + 1/11^2 gives 1.558... which corresponds to an estimate of pi of only 3.057, whereas you got 3.118. I'm wondering if you purposely let the "pi" end droop more knowing that you only had 11 sets of books rather than an infinite number of sets.
@JohnDlugosz 5 жыл бұрын
Hmm, does the drooping model a correction factor to some accuracy? Then you can tune the stiffness of the beam to match the number of terms.
@SafetyBoater 5 жыл бұрын
I think there was 12 groups.
@rogercostandi1593 5 жыл бұрын
*** Beam *** Awesome content, Matt, as always!
@trouqe 5 жыл бұрын
Love the video! Got the book!!! Hope I get the signed copy.
@BTElectric 5 жыл бұрын
If that book weighed 314 grams out of 550 grams, then the answer would be rounded to 3.14
@samburnes9389 5 жыл бұрын
He made a joke in the beginning about how he was going to be extremely precise, (having many digits) and maybe accurate
@Imthefake 5 жыл бұрын
actually your result was improved by misure error, the expected result after 12 iteration should be 3.06428781783
@Soulthym 5 жыл бұрын
I love that it is 3:14 in the morning at the time I'm watching this (now 3:15 but still counts)
@larsstampe 5 жыл бұрын
Congratulations. Thanks for being awesome.
@faokie 5 жыл бұрын
Do Patreon subscribers get to see it a week later?
@Ciara_Turner 5 жыл бұрын
Destroying a book, what a glowing endorsement
@abdelrahmanmohamedafifi6879 5 жыл бұрын
Hater
@klvanw 5 жыл бұрын
That's a very useful book Matt!
@northernepicadvenure 3 жыл бұрын
I feel like Matt has so many of these calculating pi videos that his next one will be "Calculating pi using my calculating pi videos"
@Craznar 5 жыл бұрын
Happy upcoming 14.3159265359 day everyone.
@ZombieTubular 5 жыл бұрын
Why the annoying background music masking what you're saying and distracting from your point?
@smoog 5 жыл бұрын
It was to distract us from his baldness.
@MichaelMantion 5 жыл бұрын
Thank you, I have been complaining about this for a while. We should write a petition to get him to stop.
@sophiophile 5 жыл бұрын
@@MichaelMantion I dont think petitions can prevent hair loss
@MichaelMantion 5 жыл бұрын
@@sophiophile we can try
@billcook4768 5 жыл бұрын
Great video. Two geeky points. First, the sum of the unit reciprocals doesn’t exactly “go racing off.” It diverges, but it diverges incredibly slowly. Second, that sum is Z(1), where Z is the Riemann Zeta function. The sum you calculate Z(2) = pi^2/6. Z(x) is extremely hard for people to intuitively grasp, so always fun to point it out when it comes up.
@DavidRichfield 5 жыл бұрын
Still the channel with the best theme tune on all of KZfaq!
@7x547 5 жыл бұрын
Dont destory books
@raimonwintzer 5 жыл бұрын
Dont destory Englihs
@sophiophile 5 жыл бұрын
@@raimonwintzer Maybe he was asking him not to "de-story" the book by destroying it
@nerdy5999 5 жыл бұрын
I smell the zeta function! I just watched the 3B1B video on the zeta function (for the hundredth time), and now I'm seeing it being used in a stand-up maths video!
@AdrianPardini 4 жыл бұрын
I don't know why I missed this last year. Nice skills for a shibari workshop :)
@braden1edwards 5 жыл бұрын
***BEAM*** This is awesome! Always look forward to your videos, but the pi day ones are always interesting Question: How long will you be signing the books purchased from Mathsgear? Also....I went to try and order from Mathsgear; however, the international shipping was bumping the price up (Why do I have to live in the States?? haha)
@feliciabarker9210 5 жыл бұрын
Love the call back to the Accuracy vs. Precision video! Very different approach to cutting the books than I would have: I'd have cut horizontally through the book with a hacksaw a third of the way down the cover.
@feliciabarker9210 5 жыл бұрын
Also, Matt, you seem to have forgotten the Behind the Scenes link
@RandyJames22 5 жыл бұрын
This will beam eye project for the math challenge this year!
@MichaelMarteens 5 жыл бұрын
That's so cool that you had student volunteers help you with the experiment. If you need any help from college students in Alaska just holler.
@Sharklops 5 жыл бұрын
Damn you, I was all fired up and ready to flame over the atrocity of String-gate.
@Forriedude 5 жыл бұрын
My book shipped today!
@shashwat.P 5 жыл бұрын
0:40 " one over a quarter" is 4 Matt
@vaderplac 5 жыл бұрын
You got it to the ~40th element of the series. Congratulations
@ReneVAndersen 5 жыл бұрын
I have to say this is great!
@coreyburton8 5 жыл бұрын
That was awesome. Very cool ! String was the difference I think but 3.11 is very satisfying
@lart76 5 жыл бұрын
I think that one of the source of error came from the fact that the beam gets heavily deflected. The new distance of the books weights to the center of the beam ('d' terms) are no longer those calculated and drawed on the beam, but rather the projected distance on the horizontal.
@yellowbendyman8275 5 жыл бұрын
I sit through all the ads on this channel to offset all those books. Also, BEAM!
@justinhoffman5339 5 жыл бұрын
Considering all the assumptions (eg. all books weighed the same) and the factors you purposefully ignored (eg. the string), you may as well have guaranteed the safety of all but 1 book by using the fractions 1, 1/2, 1/3, 1/4, 1/6, 1/8, 1/12, 1/24. With a unit of 24 books, you would be hanging 24, 12, 8, 6, 4, 3, 2, and 1 books on the "series" side. On the "pi" side, you would hang however many whole books necessary plus one book that would need to be a fraction.
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