Aw, I was really wanting to see him try to arrange -1 coins.
@matchstickgameplay
5 жыл бұрын
That's 1920s German money
@Ph0n3numb3r
5 жыл бұрын
Money made out of anti matter.
@berwynsigns4115
5 жыл бұрын
There are 1/0 ways to arrange -1 objects.
@thomashan4963
5 жыл бұрын
Acutally, I've been arranging -n dollars every week.
@Xnoob545
5 жыл бұрын
I...I...uhm... **dies**
@tacchinotacchi
9 жыл бұрын
The cover of this video says "0!=1" In computer programming "!=" is a logic operator that returns true when the two numbers are different. In simplier words, it means "is different from". I read "0 != 1" and said "No shit"
@churchmanner
9 жыл бұрын
Find 'N' Frag LOL...so you read it as "zero is not equal to one" that's hilarious
@AnkaaAvarshina
9 жыл бұрын
Programmer jokes. I love you.
@rich1051414
9 жыл бұрын
Sapphire Shard Was it a joke? I am a programmer too, and I did the same thing. More of an observation really :P
@salmjak
9 жыл бұрын
Actually != is written as a = With a dash in it (on paper). I program a lot as a hobby and I still understood what the title ment. Basically because "!=" is only ever used in programming and not in writing.
@rich1051414
9 жыл бұрын
salmjak "As a hobby". If you did it for a living, you would be reading more code, than nearly anything else :P
@thekenmatax18
7 жыл бұрын
Everything was completely fine until the Gamma thing kicked in.
@iamthinking2252_
7 жыл бұрын
thekenmatax at least I have a half baked idea of what γ is... Sort of
@zachn2876
7 жыл бұрын
The lowercase gamma is used for Euler-Mascheroni constant. The gamma function is always denoted by the uppercase gamma.
@RobShmit
7 жыл бұрын
All I know is that it ended WW2, haha
@kgeorgeg7
7 жыл бұрын
he drew/wrote it in his own way of calligraphy... Gamma upercase is that - Γ - you may know it that way.
@rudi-gs2pd
7 жыл бұрын
same here
@paradoxicaloutcome1007
10 жыл бұрын
If anybody is asking "Why, isn't there infinite ways to arrange zero objects?" then you forgot the fact that not arranging something is a way to arrange it, you can't arrange zero objects and that is the only thing you can do about it.
@tsguy-h3q
2 жыл бұрын
Programmers looking at the thumbnail: Yeah, zero is not equal to one.
@lordihlendam3619
7 жыл бұрын
The gamma function looks wrong. It should be integral from 0 to infty of exp[-t]*t^(n-1)*dt
@ffggddss
7 жыл бұрын
Yeah, they goofed; but they caught themselves - Click on "SHOW MORE" under the video windowpane, and you'll see that correction given there.
@bhuvaneshs.k638
6 жыл бұрын
Yup u r ryt...👍
@MikeStoneJapan
3 жыл бұрын
I had the exact same thought when he did 0! I was like "bollocks!"
@petergregory7199
4 жыл бұрын
When you arranged zero objects you accidentally turned nothing upside down.
@kirkham1209
4 жыл бұрын
Based on the graph at the end, does that mean that the factorial of any number between 0 and 1 is 1?
@chriscurtain1816
2 жыл бұрын
The video uses a pattern to establish 0! = 1. But there are other patterns. Another pattern is that every factorial number ends with ..... x 1. And anything x 1 equals itself. 0 x 1 = 0. So 0! = 0. Don't just choose the pattern which gives the answer you are looking for. In my world, 0! = 0. And that works for absolutely every application in my world.
@johnrubensaragi4125
2 жыл бұрын
Then 10! = 10 × 1 = 10. It ends with one!
@cpotisch
2 жыл бұрын
Your world is not the real world, then. In your scenario, 3! would also be 1. And that's obviously not true.
@NeemeVaino
10 жыл бұрын
Here another try of explaining 0! as an empty product. If we look at factorial as infinite product of numbers in power of 1 and 0: 3!=1¹·2¹·3¹·4º·5º...=6 2!=1¹·2¹·3º·4º·5º...=2 1!=1¹·2º·3º·4º·5º...=1 0!=1º·2º·3º·4º·5º...=1 or, other words, log(3!)=log(1)+log(2)+log(3) log(2!)=log(1)+log(2) log(1!)=log(1) log(0!)=0, which also solves as 0! = 1
@berndmayer3984
2 жыл бұрын
Definition ----> n! := 1x (1x2x3x...xn) with n factors in the parenthesis { }. Therefore 0!=1
@r0bw00d
3 жыл бұрын
0:17 - 0:21 Oh come on! You have a blackboard right there behind you!
@jaykay4137
8 жыл бұрын
"You've broken maths, Brady. Stop that." This is why I now love math.
@andrewbell23
8 жыл бұрын
Yeah I cracked up at that part! Lol
@HayTatsuko
8 жыл бұрын
I love the little smirk Dr. Grime gives just before showing the example!
@actuallyasriel
8 жыл бұрын
I love this guy so much. James is my favourite.
@daniellittle7846
8 жыл бұрын
It's not math it is maths this is a British channel
@trashcan4798
8 жыл бұрын
I keep finding you on KZitem lol
@Purendrakingoytb
3 жыл бұрын
Computer Engineers looking at the thumbnail - "Ah! yes. That's true."
@PianOG
2 жыл бұрын
😂😂😂
@madladdie7069
2 жыл бұрын
Lol, I got that joke mainly due to messing around with Minecraft commands.
@legendaryhacker9910
2 жыл бұрын
For the peoples who are dont understand the joke: != means in programming lang. "Not equal" so 0 is not equal to 1
@aseanidmiller1238
2 жыл бұрын
😭😂😂😂
@lukasbeyer2649
2 жыл бұрын
yep yep
@cydar
4 жыл бұрын
4:21 when my teacher asks where my homework is
@samuelthecamel
4 жыл бұрын
"You wanna see me do it again?" XD
@leddaudet2350
4 жыл бұрын
😂
@strickersniper7909
4 жыл бұрын
Lol
@vai_-cn9br
4 жыл бұрын
🤣😭
@mjfanankit
4 жыл бұрын
🤣
@sarahboes6829
8 жыл бұрын
"There's zero objects..." *Zooms in on blank paper*
@abadlydrawnsnowman1648
8 жыл бұрын
That paper is an object... XDDDDDDDD
@watch426
7 жыл бұрын
Is it a bird, is it a plane? A plane.
@aamierulharith5294
7 жыл бұрын
Sarah Boes i laugh when he said it
@CaseyShontz
7 жыл бұрын
XD
@davividal
6 жыл бұрын
It is a birdplane!
@chunchun8241
5 жыл бұрын
I asked my math teacher why 0!=1 he said "because it's like that"
@gravinboginagis6568
5 жыл бұрын
Teachers are goons
@theblinkingbrownie4654
5 жыл бұрын
@Mr. H We get free education from youtube but teachers be like: That's the law. :/
@gravinboginagis6568
5 жыл бұрын
Mr. H 🖕
@gravinboginagis6568
5 жыл бұрын
Mr. H because you are implying that private education is superior and that normal people people get nothing because they didn’t “pay”
@NoActuallyGo-KCUF-Yourself
5 жыл бұрын
True by definition isn't as satisfying, but it works.
@B3Band
7 жыл бұрын
If you shout 0 loudly enough, it becomes 1. *0!*
@kirikouwepeutihmecemonami4219
7 жыл бұрын
Nice one
@Music-ij1uu
7 жыл бұрын
i dont get it :(
@soulenoid6701
7 жыл бұрын
Its an exclamation mark
@averyshaham1697
7 жыл бұрын
George Washington +Pyrrhic Victory it's 0 factorial which is 1.
@averyshaham1697
7 жыл бұрын
Pyrrhic Victory oh but if george watched the video he should've known anyway
@oldveins
4 жыл бұрын
The moment starting at 4:14 looks like it was taken straight out of some kind of math version of The Office.
@gobucbabu1583
4 жыл бұрын
I thought the exact same thing 😂.
@dicktsui1818
4 жыл бұрын
I can't see it but don't do anything rash and stay healthy.
@blow-by-blowtrumpet
4 жыл бұрын
Omg you are spot on! Never struck me the first time but now it's even funnier.
@Peter_1986
3 жыл бұрын
I couldn't see that. But maybe that is because I have never watched "The Office".
@LSC69
3 жыл бұрын
I like your profile name
@sanokk3439
5 жыл бұрын
"there it is, wanna see me do it again? there it is!" xD that made my day
@corpsiecorpsie_the_original
5 жыл бұрын
I like how his extra British accent came out during that 😄
@JassonCordones
5 жыл бұрын
@Lester Meza That's the reference
@EnerJetix
5 жыл бұрын
Same :)
@EnerJetix
4 жыл бұрын
griffin tucker no there’s only one.
@hardnrg8000
4 жыл бұрын
@griffin tucker you don't get it. There is only one way to arrange it. By having it empty.
@laurel8831
9 жыл бұрын
I wish he was my math teacher ..
@numberphile
9 жыл бұрын
Joshua Rage well today he was!
@laurel8831
9 жыл бұрын
Numberphile I'm sure this wasn't the last time! :)
@Zenovarse
9 жыл бұрын
-1!=?
@SteveMcRae
9 жыл бұрын
Zenovarse -1!= -1Remember, you always do factorials first then apply the unary operator for the negation.
@thatoneguy9582
9 жыл бұрын
Zenovarse -1!=-1 because -5!=-120 since -5 times -4 times -3 times -2 times -1=-120. You would think -5 times -4 times -3 times -2=-120 but it equals 120 since -1 in multiplication makes the answer negative.
@hugodesrosiers-plaisance3156
2 жыл бұрын
When he says "there's zero objects" and the camera zooms in on the blank paper, it really shows the capacity for the human mind to conceptualize things which aren't material. I love this.
@paulsingh1165
Жыл бұрын
I laughed so hard when he was like "here watch me do it again"! 🤣
@TheLycanDragon
8 жыл бұрын
We need t-shirts saying "You've broken maths brady!"
@redredroze
8 жыл бұрын
-stop that
@zatoichiMiyamoto
8 жыл бұрын
Shut up and take my money!
@anonymous071985
8 жыл бұрын
I'd buy one. At least consider it.
@grantmacdonald3904
8 жыл бұрын
I bid $100
@084surajrao6
8 жыл бұрын
I second that
@uuu12343
7 жыл бұрын
"See who says mathematicians don't make a lot of money, there's literally 50p here" Your sense of humour satisfies me
@ethangoldsmith9332
6 жыл бұрын
What is 'p'? is it pound?
@kedymera6164
6 жыл бұрын
no, it's "pence" (one pence = 1p = £0.01)
@ninajoyce9906
6 жыл бұрын
Ethan Goldsmith you uncultured swine!! -(joke)
@SpyridonJohn1633
6 жыл бұрын
Eternia Dr. James has an awesome sense of humour. "How many way of arranging 0 objects. There it is. Wanna see me do it again? There it is!"
@RMate-bu7se
6 жыл бұрын
@@SpyridonJohn1633 that me made smile :)
@MisterBones2910
8 жыл бұрын
I liked the cheeky little zoom to get a more detailed shot of the nothing.
@commenturthegreat2915
5 жыл бұрын
Programmers: "Well yeah obviously 0 isn't equal to 1..."
@kiroo886
4 жыл бұрын
"quantum computer say hello"
@joelschama1735
4 жыл бұрын
Code monkeys: 0≠1, but 0!=1.
@leetfukk
4 жыл бұрын
@@joelschama1735 In a lot of common programming languages, != means "does not equal"
@joelschama1735
4 жыл бұрын
@@leetfukk It also means factorial. And 0!=1. I've done a lot of programming, and ! checks to see if two operands are equal or not as in "(A!=B) true" and if they are not equal the function runs. My only point was that as a codemonkey in binary 0≠1, yet in pure mathematics 0!=1.
@Missiletainn
4 жыл бұрын
Well, most programming languages count from 0, so the 1st object in a list is 0
@yoloswaggins2161
5 жыл бұрын
I hate it when people flex their overflowing wealth like that.
@DoneWN
4 жыл бұрын
@Lo Po I think you missed the joke my friend
@lindakan9809
4 жыл бұрын
@Lo Po r/woosh
@wellshit9489
4 жыл бұрын
@Lo Po james ain't rich I'm guessing
@manw3bttcks
4 жыл бұрын
I was more upset with the idea of coins in a wallet, do many people do that?
@earthtoashlyn
4 жыл бұрын
manw3bttcks where else would you put them
@diabolicallink
9 жыл бұрын
You've broken maths Brady stop that
@mindspunk
9 жыл бұрын
thats the funniest thing I've ever heard on this channel
@Julio7514
9 жыл бұрын
that was amazing
@erics.451
9 жыл бұрын
+diabolicallink Ikr I told my dad that
@davidjoffe-hunter7016
9 жыл бұрын
That was the best
@jarto10
9 жыл бұрын
+diabolicallink I went to the comments just after hearing that sentence convinced that it had not gone unnoticed, and I wasn't dissapointed!
@hlynurgumundsson6979
8 жыл бұрын
2:56 'You've broken maths Brady, STOP THAT!!!'
@ArcanusEst
4 жыл бұрын
ME (NOT A MATHEMATICIAN): "But I don't get it, how do you arrange nothing?" JAMES: "Would you like to see it?" ME: "Yes." JAMES: "There it is." ME: "...oh." JAMES: "Would you like to see it again?" ME: "...maybe." JAMES: "There it is." ME: "...okay."
@louisrobitaille5810
Жыл бұрын
"How do you arrange nothing" in maths is the same thing as asking "How many different ways can you arrange 0 objects?" The answer is then simple to see. There's only one way to arrange 0 objects, i.e. the one you're looking at: no arrangement. Therefore, you can arrange 0 objects 1 way.
@crazygamelover1651
7 жыл бұрын
"Hi, -1 factorial?" "Sorry, mathematics broke" "Understandable, have a nice day"
@ariadumler410
6 жыл бұрын
I love Dr. Grimes he has such an enthusiasm to him that i absolutely adore
@CONGTHEGUERILLA
4 жыл бұрын
Fr hes not even tryin to teach hes just having a blast
@-enzyme
4 жыл бұрын
Big facks
@jlew92xx
3 жыл бұрын
Love him too
@tionier9312
3 жыл бұрын
@@-enzyme Bbbb Bbfff
@yvaskhmir
3 жыл бұрын
Isn't it like a common thing on this channel?
@davidgalindez4856
8 жыл бұрын
"there it is, wanna see me do it again? there it is!" xD
@daviddlamini4290
8 жыл бұрын
+Dave Galindez hahahaa that killed m
@maccyio1327
8 жыл бұрын
Damn AHAHAHAHAEHEAHEHEAHEIHIHIHEHIEHII
@Alishah189
8 жыл бұрын
haha, made my day
@MegaMGstudios
8 жыл бұрын
read this at the exact moment he said it, and its my first time watching this vid
@ShakilHashmi
7 жыл бұрын
Loved that actually...
@mpekim
4 жыл бұрын
4:24 you wanna see me arrange these objects? You wanna see me do it again?
@abhinandpaulm8858
2 жыл бұрын
😆
@serendipity9defined
10 жыл бұрын
You've broken math Brady! Stop that.
@CarstenSvendsen
7 жыл бұрын
The zoom in on "nothing" just made my day
@VoidHalo
6 жыл бұрын
Haha I noticed that too.
@VencottOutdoors
5 жыл бұрын
2:55 1÷0
@therealepicguy
11 жыл бұрын
so -1! breaks math and 1! is 1 well that's discrimination!
@zmanitee1664
4 жыл бұрын
Mathematicians: Does 0 !=1? Programmers: Well yes, but actually yes
@JonathanMandrake
3 жыл бұрын
Well, the only thing in the factorials programmers have a problem with: 1!=1
@oenrn
3 жыл бұрын
@@JonathanMandrake 2!=2
@geryz7549
3 жыл бұрын
and that's why you use spaces...
@LSC69
3 жыл бұрын
@@geryz7549 programming languages that use white space are considered bad
@MrAlRats
2 жыл бұрын
The very first programming language that I was introduced to in school used the symbols "" for "not equal to", which makes more sense because it means "greater than or less than". It's unfortunate that not all languages use "".
@JohnOh0701
10 жыл бұрын
I hate when math breaks
@anuj8825
5 жыл бұрын
2:55 *math.exe has stopped working*
@anandsuralkar2947
5 жыл бұрын
Lol tumbhh Error exception 000xxxxx0x00x
@dr.stephen.strange
5 жыл бұрын
Rather my brain.exe has stopped working
@xxxBradTxxx
4 жыл бұрын
l'hopital's rule
@HyperSpify
10 жыл бұрын
All of us programmers read "0!=1" as: zero is not equal to one, which also happens to be true.
@Azulmine
4 жыл бұрын
“We have zero objects” *zooms in on blank paper*
@ashishjog
7 жыл бұрын
"0!=1" well that's quite obvious for Programmers!!!
@bowel_movement
5 жыл бұрын
!0 == 1 but, !0 !== 1
@fractionofstuff
5 жыл бұрын
@@bowel_movement 0!=1
@TheMegaxPlus
5 жыл бұрын
@@bowel_movement you forgot the semicolons. That's going to explode
@pheonix3862
5 жыл бұрын
@@TheMegaxPlus that's only if it's c#
@Xnoob545
5 жыл бұрын
!0. Not 0 = 1 *BINARY QUCK MAFFS*
@MrTaeyyy
10 жыл бұрын
that's the most ugly gamma I've ever seen
@JuniorBloxHD
4 жыл бұрын
Me seeing the thumbnail as a programmer: *hmm yes the floor is made out of floor*
@jhon5916
4 жыл бұрын
Junior roblox
@enzoqueijao
4 жыл бұрын
I'm not a programmer what do you mean
@linobigatti
4 жыл бұрын
!= is the difference operator 0 != 1 means "zero is different from one"
@ontley
4 жыл бұрын
@@KieranHelix heh? What
@zoklev
4 жыл бұрын
more like: _the floor isn't made out of doors_
@speedyguy8
9 жыл бұрын
You've broken maths, stop that! lol
@t0k4m4k7
9 жыл бұрын
xD
@HeroRaze
8 жыл бұрын
I read the thumbnail as "zero is not equal to one". lol
@Lucifer00011
8 жыл бұрын
the struggles R real!
@Lucifer00011
8 жыл бұрын
the struggles R real!
@pkermen
8 жыл бұрын
+Ryan G-P return true;
@jursamaj
8 жыл бұрын
+JusesCrustes Unless the struggles are integer or complex. :)
@ikasu00
8 жыл бұрын
>>>print 0!=1 True
@Rauz11
8 жыл бұрын
You broken math Brady! stop that! :D :D :D :D :D
@debajyotidas655
4 жыл бұрын
In 6:04 min the Gamma function had a little bit of mistake. The gamma function is written as: Gamma fn(n)= Integral of t^(n-1)*exp(-t) dt NOT Gamma fn(n)= Integral of t^(n-1)*exp(-n) dn
@sunandinighosh6037
4 жыл бұрын
I was looking for this cause n is a number where as t was the variable...thanx
@williamcoles5149
3 жыл бұрын
@@sunandinighosh6037 i was thinking "how can you differentiate with respect to a constant?" I am learning calc and thought i missed something
@shoutitallloud
3 жыл бұрын
I don't uderstand quite what is "t" here. Could you explain please?
@derenglander7995
3 жыл бұрын
@@shoutitallloud t is just a variable here, without deeper meaning behind it. It can take values between 0 and infinity. The function is then integrated over t, and the solution of that happens to be (n-1)! It's quite interesting, and you can show that this relation is true, but that requires knowledge of integration, and is quite complicated.
@williamcoles5149
3 жыл бұрын
@@shoutitallloud the variable of integration
@odycmboden3580
8 жыл бұрын
"youve broken math! stop that"
@szymongorczynski7621
8 жыл бұрын
Maths***
@remavas5470
8 жыл бұрын
+Szymon Gorczynski It's an UK and US thing: US uses math and UK uses maths
I was sort of expecting the paper to burst into flames when they tried (-1)!
@Woodside235
10 жыл бұрын
Technically you can do negative factorials. It's undefined at negative integers, though.
@Woodside235
9 жыл бұрын
***** The factorial function can be extended to be Γ(x+1), so.
@Sylocat
9 жыл бұрын
Well, I just typed "This sentence is false" and my keyboard didn't explode, so...
@manmanman784
9 жыл бұрын
dt!
@robertojarrin3634
9 жыл бұрын
0!/0=-1! 0!=1 1/0=-1! -1! is undefined
@andrewkoper9170
2 жыл бұрын
I really like the way you arranged the zero objects. You are a true artist.
@MarineNinja
9 жыл бұрын
philosophically i think there are infinite ways to order 0 objects.
@EmperorZelos
9 жыл бұрын
+sharon f Okey, present 2 different ways.
@victorfeltes
9 жыл бұрын
+sharon f Or alternatively, there are zero ways to order 0 objects.
@EmperorZelos
9 жыл бұрын
Fr. Victor Feltes But there is at least one way, namelyin no order.
@victorfeltes
9 жыл бұрын
***** It's like asking the question, "How many times can you divide by zero?" I could see the answer being 0, 1, or ∞ but, as it is, the answer remains "undefined."
@EmperorZelos
9 жыл бұрын
Except that question is malformed as it assumes an inverse of 0 exists which it doesn't
@Sdawkminn
8 жыл бұрын
What's pi factorial?
@leonthethird7494
8 жыл бұрын
Decimal factorial makes no sense because there's an infinite amount of space between any number so what numbers are you so posed to choose?
@gnouveli
8 жыл бұрын
0
@leonthethird7494
8 жыл бұрын
***** O
@gnouveli
8 жыл бұрын
Leon the third no.. seriously i got it now. Pi = 3.14 so, the comment actually ask what's 3.14 factorial. the answer is 7.17
@fuish6391
8 жыл бұрын
7.1880827...
@michaelwinter742
8 жыл бұрын
He doesn't do drugs. He does maths. It gets him so high he can graph an exponential function in Cartesian coordinates.
@rewrose2838
8 жыл бұрын
?
@michaelwinter742
8 жыл бұрын
Rew Rose Exponential growth quickly does not fit on a Cartesian coordinate system. We use logarithmic graphing for exponential growth curves.
@rewrose2838
8 жыл бұрын
Michael Winter ok . . . ( why though? )
@oivanhoi2249
7 жыл бұрын
Michael Winter
@michaelwinter742
7 жыл бұрын
Rew Rose there is only a small usable range of exponential growth in Cartesian space. Here is an example of exponential growth: 2,4,8,16,32,64,128,256,512,1024,2048 What do you think is the best range to understand and use that data?
@gulshantiwari722
4 жыл бұрын
This is the most satisfying explanation I have come across about the zero factorial. On top of the technical, division proof, you made it very easy to understand in practical terms.
@attilamagyar91
8 жыл бұрын
0 != 1. Zero is not one. Programmers..?
@Savageboi506
8 жыл бұрын
That's what I imagined when I saw the thumbnail xD
@hussainattai4638
8 жыл бұрын
Hahahaha!
@cptshinigami
8 жыл бұрын
I was coding in C# just few minutes ago. Then I saw it, that was my first thought.
@Savageboi506
8 жыл бұрын
***** You know you were able to write that comment because of JS, right?
@harambe4686
8 жыл бұрын
Magyar Attila Eyyyy
@nanoic2964
9 жыл бұрын
In C and C++ != is the not equal to operator so 0 != 1 would be True.
@stevenvanhulle7242
9 жыл бұрын
Fester Blats It's a valid mathematical statement. Mathematical statements can be true or false, and this one is false. It's because of this ambiguity that Niklaus Wirth chose ":=" for assignment when he designed the language Pascal: "a := a + 1" and used "=" to test for equality: "if a = b then ..."
@jerrytang3047
9 жыл бұрын
Isnt that a function where its "a = (a1 +(a2 +(a3...+ainfinity)) +1
@BaeFell
9 жыл бұрын
Fester Blats You do the same thing for whatever these are called (bad example): 5x + 2 = 4 - 3x
@muhrtanitokrates7223
9 жыл бұрын
Manga max hahaha funny
@0EEVV0
9 жыл бұрын
wow i wish i knew that. Oh wait i do...
@cluckendip
5 жыл бұрын
"You've broken maths, stop it" I love this channel
@_t03r
4 жыл бұрын
6:04 No one noticed, that it should be the integral of t^(n-1) e^(-t) dt instead?
@chaktr466
4 жыл бұрын
I was going through the comments to check that too
@colinn4239
4 жыл бұрын
yeah really bothers me
@mikeyn7778
3 жыл бұрын
It was a human error
@Nimanames
3 жыл бұрын
THANK YOU! I had to scroll down A LOT to find your comment, it was driving me crazy!
@mariafe7050
3 жыл бұрын
He said that in the description.
@ashenold
10 жыл бұрын
You've broken maths, Brady, stop that...
@bob123789456
10 жыл бұрын
if you go by the logic he uses then 0! should be 0. there's no "one" way to arrange something that's not there. there's no way to arrange them.
@marioisawesome8218
7 жыл бұрын
Put 0! In a calculator, nurd.
@aryanagrawal9103
4 жыл бұрын
Everything was going fine. Then came 5:38
@leocharpentier4412
4 жыл бұрын
Really yuh
@blow-by-blowtrumpet
4 жыл бұрын
Exactly my experience. I was feeling quite smug up to that point.
@VandroiyIII
4 жыл бұрын
Yea lol, but they fixed it, see "show more" t isn't even defined, nor is he integrating over it. Bit of a derp there. Replace t with n and... EDIT: WAIT, no. This still makes no sense lol. Just look up the actual gamma function haha.
@lin4cba
9 жыл бұрын
3:14 "who says Mathematician don't make a lot of money? See I got 50p here" I feel so sorry for them already :( p.s.... nice timing when you says that tho. lol pi
@RedInferno112
9 жыл бұрын
"3:14, lol pi" - You need some fresh air....
@gustavmardby9364
9 жыл бұрын
im sorry but that´s not even close to pi. In fact that is infinitly far away from pi since pi has an infinite amount of decimals. It is the three first number of pi though..
@churchmanner
9 жыл бұрын
Zain Burney I agree with you.
@ForwardBias
9 жыл бұрын
***** To my knowledge, no coding language has pi as a native constant value...... So you would have to manually type in 3.14 each time, or define it in the program for repeated use, Variable=(Value of pi, to however many decimals you are willing to type). Of course, I have yet to actually study programming enough , so this comment could be completely wrong.... it is merely just a speculation.
@ForwardBias
9 жыл бұрын
aiklarung "Of course, I have yet to actually study programming enough , so this comment could be completely wrong.... it is merely just a speculation."
@videoswithmax7188
6 жыл бұрын
2:53 is the funniest part of any video I've seen
@pedroheck3667
7 жыл бұрын
2:56 I don't know why but I laughed so hard
@NotQuiteFirst
7 жыл бұрын
i know why
@explosu
7 жыл бұрын
I can't believe you've done this.
@Golha2505
6 жыл бұрын
its like hes bullying math
@demonstalker7925
6 жыл бұрын
I laughed to at that XD
@aaronjuarez7470
6 жыл бұрын
Hahahahahah, sameeee
@MattMcIrvin
3 жыл бұрын
The way I would say it is: when presented with these situations that sort of break the assumptions of a naive formula (like raising something to the power of zero, or finding zero factorial, or figuring whether or not 1 is prime), it's convenient for mathematicians to just decide on a consistent *convention*. They can leave the answer undefined, or they can assign a value, and what generally happens is that the value is assigned in such a way as to make general calculations easier, without having to add some extra specifications about special cases all the time. In this case, saying 0! = 1 is the least awkward choice for general formulae. It means that n! = n *(n-1)! is true even for n=1. It means that you can write the Taylor series expansion for a function using factorials in a consistent way, without having a special case for n=0. And there are a lot of other areas where this is the most convenient choice.
@Kpac_
2 жыл бұрын
I appreciate this explanation more than the one in the video. Thank you.
@HoD999x
9 жыл бұрын
let me try this 3! = 3*2*1 2! = 2*1 1! = 1 0! = broken :( it didn't work
@DanielKierkegaardAndersen
8 жыл бұрын
+Dennis Haupt 404: 0! not found
@ETan-sg5mz
8 жыл бұрын
+Dennis Haupt Well, since the ''emptiness'' in 1! is 0, 0! is 0x0x0x0... so Its pretty much 0, I think he's just being weird.
@equilateral1532
8 жыл бұрын
+Dennis Haupt But don't forget every number is the same with a series of multiplying ones. 3!=3*2*1*1*1*1*1... 2!=2*1*1*1*1*1*1... 1!=1*1*1*1*1*1*1... 0!=1*1*1*1*1*1*1... 0!=1
@Pandopolous
8 жыл бұрын
+Joseph Caruso LOL. I wrote a full-page response in denoucement. You found a faster way. Humor is the way to go. LOL thanks. :>
@JooJingleTHISISLEGIT
8 жыл бұрын
+Joseph Caruso Em... That makes no sense. n! = n x (n-1)... (down to 1 yes?) 0! = ... (There is no 1. Only zeros) How can we assume there is a 1 that comes *after* zero?
@filoteo
8 жыл бұрын
*divides by zero* you've broken math, Brady, stop that!
@tchitchouan
8 жыл бұрын
Dr James Grime - 2013
@kalokal5812
7 жыл бұрын
0! = 1 0 != 1 There's a difference
@RabbiShekelGrabbersixgorrilion
7 жыл бұрын
yeah one is used in programming and the other one is not.
@ethangoldsmith9332
6 жыл бұрын
The difference is a space
@manjunathhegde3146
6 жыл бұрын
n-1!=n!÷n .take n=1gives0!=1!=1÷1=1
@human3507
6 жыл бұрын
Kalokal 0!=1 0 !≠1 because: 0(0)!=0(1)=0 (Nothing means 0, and also multiplication)
@alexrr9264
6 жыл бұрын
Both are true
@lachlanokeefe8020
Жыл бұрын
so basically the factorial function is defined such that it works how we want it to work.
@MrSilki2
8 жыл бұрын
i saw thumbnail 0!=1 and i thought he explains why zero isn't equal to one... oh programming.
@nikosv6731
6 жыл бұрын
Feel u m8
@greekfire995
6 жыл бұрын
At least you get a true statement regardless.
@davidwhickox
9 жыл бұрын
3:12 *pulls out his entire life savings*
@Arkalius80
10 жыл бұрын
For all the people unsatisfied with the explanations offered by the video, how about we just rely on the base definition of the factorial? The factorial of a non-negative integer n (n!) is defined as the product of all positive integers less than or equal to n. There are no positive integers less than or equal to 0, so 0! is the empty product, or the product of no numbers. The empty product is defined to be the multiplicative identity, which is 1. (Just like the empty sum is the additive identity, which is 0).
@KarstenOkk
9 жыл бұрын
I wasn't satisfied with the "complete the pattern"-explanation but the coin method makes sense, since that's what factorial is really meant for.
@aunibbww
9 жыл бұрын
Pravat Kiran Timsina or psychological minors? xD
@Acsabi44
9 жыл бұрын
or we could rely on another definition of factorial, which is n!=(something)*n. You multiply all the numbers less than, and equal to, n. Now following this logic, 0! = (something)*0. Anything multiplied by 0 is 0 so 0!=0.
@ivo
9 жыл бұрын
Arkalius80 0 is where the graphs start. Its not on either side of the graphs, its not negative, but its also not positive SO you can't have 0! as 0 is not "non-negative" the same way he decided to stop completing the pattern at -1 since it's wrong. Its equally wrong to do it with 0 !!!!
@sempaid12345
9 жыл бұрын
You can also just use another statement of the definition of a factorial: For whole number n, n! = n(n-1)! Plugging in 1, you end up with 1! = 1(1-1)! = 1(0)! From the very leftmost term, we know 1!= 1, through transitivity, we now know 1=1*0!=0! Therefor, 0! must be 1
@harmenbreedeveld8026
3 жыл бұрын
My lightbulb really went on when you said that n factorial represents the number of ways you can organize n objects. Because I was just wondering about applications for n factorial. Thanks for that remark!
@oren369
10 жыл бұрын
Well , i have a question , if you pick a random number in between 0 and 1, on the paper i can see the "y" value equal to 1, but i cannot see it with the integral that you gave us . Nice proof.
@fakjbf
9 жыл бұрын
Writers say "I would kiss you 100 times!". Mathematicians say "I would kiss you 100! times".
@GabrielConstantinides
9 жыл бұрын
Decent joke, could be manoeuvred
@girv98
9 жыл бұрын
9.33e157. Man that's a lot of kisses...
@Wanderlust1972
9 жыл бұрын
James Girven that's like saying i will kiss you more times than the sum all of the kisses given by every living entity combined throughout the entire lifetime of the universe and the few succeeding it
@b2gills
9 жыл бұрын
93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000 is a lot of kisses
@tyler89557
9 жыл бұрын
Brad Gilbert i think... that is more than the amount of pounds/kilograms earth weighs...
@eagles4christ
10 жыл бұрын
You can arrange zero objects in one way. That's what a factorial is. It's how many ways you can arrange n objects. If I have no objects, then there is only one way to arrange them.
@garrettbrown9857
5 ай бұрын
~Single Multiple rule: 1 whole number multiplied by any other number will be added by 1. Zero multiplied by any number will be discounted by the simple and logical fact it is nothing. ~A Single Multiple: is one whole of many additions to the base description of a single unit to a group Example: a bucket of apples or a storage unit, or even 4/4=1. ~If 1×1 =2 then 100×1 =101. 9×1 =10 ladies and gentlemen. 1×0 =1 The definition of multiplication is multiples however in the instance that there is one, the number is still there. To neglect the Whole number would be giving the single unit a sincere disservice to the equation and practical Real World applications. Now, presuming we are just working with ourselves, why would you even bother putting the digit in the equation in the first place? A Single Multiple still exists. To banish the term would be illegal. You put one individual human being amongst five and you have a multiple of six. As well as one factory among four. You don't multiply one and six apples, maybe a bucket of apples? You add the one. 2 ×100 is 200. Educate ~In the existence of two it will nullify the zero. Two is two. 0×2 =2. To say nothing multiplied by something is nothing is completely irrational immoral and asinine. We need modern professionals in the real world with two tables and one with two objects on it. 1×2 =3. If not a Single Multiple than an addition problem. One box of candy times two boxes of candy. One piece of candy plus two pieces of candy! We took the zero principal to hide the one! ~You simply add additional, Single Multiples.(1) You have three containers full of wood chips, you don't multiply the wood chip containers. You add them If you had eight apples and put five more in a bucket you get thirteen, you add. But if you had three buckets of apples and got another one, you're multiplying it by a Whole bucket. Not adding one. 1×3 =3 is incorrect. It's 4. 🤯
@redtaileddolphin1875
8 жыл бұрын
My favourite part of he video is when James takes away the last coin and Brady zooms in on an empty spot on a table (yes I know it's to show the 0 objects but out of context it's hilarious)
@Tibi1q2wthesecond
11 жыл бұрын
I knew there is something wrong in Gama function... In the integral is t^n-1 * e^-t * dt
Oh my god I can't believe it. I love these videos but for the most part they are real pop-math stuff. But he just explained the gamma function! Thank you! I have encountered that stupid thing for YEARS and I've seen the definition of it a thousand times but no one has ever explained WHAT it is. "Factorial for real numbers" how hard was that to say! Thank you!
@TheMorfra
7 жыл бұрын
as a programmer I couldn't see the problem with "0!=1"
@加州猫主席
6 жыл бұрын
If you're well-versed in mathematics, then you _shouldn't._
@bdcreations7179
6 жыл бұрын
0==1 would have been worse :)
@gNpNct
6 жыл бұрын
that's a JS thing. ( *Usually* ) not found in other languages
@framegrace1
6 жыл бұрын
That's only because you use a really bad language for programming
@okktok
6 жыл бұрын
Compilation warning : Statement always true
@isaacmartinez2623
8 жыл бұрын
"You broken maths Braidy. Stop that!" 😂 I love numberphile.
@abdullahozgur
7 жыл бұрын
You are much better than my math teacher
@B3Band
7 жыл бұрын
He's also much better than you. And so is your math teacher.
@user-kc4oj5vs4v
7 жыл бұрын
Bloodbath and Beyond Well that was rude. no need to put people down because you had a bad day.
@B3Band
7 жыл бұрын
I had a great day, made better by your reaction :)
@Peter_1986
7 жыл бұрын
Peter Xenopoulos I usually just Flag those people nowadays, this at least seems to hide their comments so I don't need to see them. xD
@abdullahozgur
7 жыл бұрын
Laurelindo yeah
@geekjokes8458
9 жыл бұрын
e^-t dt NOT e^-n dn for those on a mobile device
@lifeiseasypeasy
9 жыл бұрын
GeekJokes great..i recognised it from my math class in probability
@Sylocat
10 жыл бұрын
Does that function curve indicate that (1/2)! is the lowest number of any factorial, and that negative factorials are on the same curve as positive factorials but with one added? In other words, "(-n)! = (n+1)!" ?
@zwz.zdenek
11 жыл бұрын
I say that 1/0=+-infinity, more specifically +infinity from the right. So, there is infinitely many ways to cut a hole with a hole punch in your famous brown paper. Put a hole here, cover it. Put it there... See, infinitely many possibilities. And I made this up here now before you introduced the gamma function.
@ryles5069
9 жыл бұрын
"You've broken Maths, Brady, stop that!"
@RichardOpokuEngineer
5 жыл бұрын
Took such a short time to make me understand this. Now I can use it boldly without having to memorize anything.
@nightseer1663
4 жыл бұрын
"There is zero objects" *Zooms in on the paper*
@Julio7514
9 жыл бұрын
"You've broken maths, Brady stop that"
@McMurchie
9 жыл бұрын
There must be like 10000 people screaming at the lap tops saying, if you don't have anything then there are no ways to arrange it...
@rlt152
9 жыл бұрын
I think that is true, there is 1 way to "show" 0 objects but there are 0 ways to "arrange" it since you can't arrange nothing
@SteveMcRae
9 жыл бұрын
Adam -亚当- Factorials are permutations. An empty set has 1 permutation (only one way to arrange) regardless of it being an empty set or a set with only 1 element...which is why 0! = 1 and 1! = 1.
@McMurchie
9 жыл бұрын
Steve McRae permutations of something yes, of nothing....???
@SteveMcRae
9 жыл бұрын
Adam -亚当- You can still have permutation of an empty set, it is basic probability theory. You have to remember that permutations are a bijection of set S to itself as f:S → S. If there are no elements in set S then you can still map an empty set {Ø} to itself in a bijection or one to one correspondence.
@McMurchie
9 жыл бұрын
Steve McRae That sounds reasonable, although I am not sure what you mean by it is a bijection of set S to itself. I think i need to read up more.
@oldgeekaz
10 жыл бұрын
Were there no programmers that thought that this video is about that 0 is NOT = to 1 because of the thumbnail?
@noobmaster31
4 жыл бұрын
Love this channel! Opens up my mind to new mathematical ideas and refreshes me on ones I already knew.
@onesandzeroes
10 жыл бұрын
You could just as well say there are 0 ways to arrange 0 objects
@Geometroid1
10 жыл бұрын
or infinitly many ways of ordering i! numbers of objects.
@hadi96100
10 жыл бұрын
or unlimited ways to arrange 0 objects...
@Peter_1986
10 жыл бұрын
Well, you can think of "no way at all" as one possible way.
@martinshoosterman
10 жыл бұрын
but their is 1 way to arange it. not 0.
@NoActuallyGo-KCUF-Yourself
10 жыл бұрын
But that's not true. Sure you could say that, but you'd be lying. There is one way to arrange 0 objects.
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