"You've broken maths, Brady. Stop that." This is why I now love math.

@andrewbell23

7 жыл бұрын

Yeah I cracked up at that part! Lol

@HayTatsuko

7 жыл бұрын

I love the little smirk Dr. Grime gives just before showing the example!

@sliceofgarlicbread6868

7 жыл бұрын

+Jay Kay I checked the comments to see if anyone said that.

@actuallyasriel

7 жыл бұрын

I love this guy so much. James is my favourite.

@sliceofgarlicbread6868

7 жыл бұрын

Asriel Dreemurr My favorite is Matt Parker. Except, all the people on Numberphile are great!

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

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

I asked my math teacher why 0!=1 he said "because it's like that"

@gravinboginagis6568

4 жыл бұрын

Teachers are goons

@theblinkingbrownie4654

4 жыл бұрын

@Mr. H We get free education from youtube but teachers be like: That's the law. :/

@gravinboginagis6568

4 жыл бұрын

Mr. H 🖕

@gravinboginagis6568

4 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

4 жыл бұрын

True by definition isn't as satisfying, but it works.

"There's zero objects..." *Zooms in on blank paper*

@abadlydrawnsnowman1648

8 жыл бұрын

That paper is an object... XDDDDDDDD

@watch426

6 жыл бұрын

Is it a bird, is it a plane? A plane.

@aamierulharith5294

6 жыл бұрын

Sarah Boes i laugh when he said it

@CaseyShontz

6 жыл бұрын

XD

@davividal

6 жыл бұрын

It is a birdplane!

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**

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

🤣

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"! 🤣

You've broken maths Brady stop that

@mindspunk

8 жыл бұрын

thats the funniest thing I've ever heard on this channel

@Julio7514

8 жыл бұрын

that was amazing

@erics.451

8 жыл бұрын

+diabolicallink Ikr I told my dad that

@davidjoffe-hunter7016

8 жыл бұрын

That was the best

@jarto10

8 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!

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

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-blow12

3 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

2 жыл бұрын

I like your profile name

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.

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

"there it is, wanna see me do it again? there it is!" xD that made my day

@corpsiecorpsie_the_original

4 жыл бұрын

I like how his extra British accent came out during that 😄

@JassonCordones

4 жыл бұрын

@Lester Meza That's the reference

@EnerJetix

4 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.

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

4:24 you wanna see me arrange these objects? You wanna see me do it again?

@abhinandpaulm8858

2 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

5 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

5 жыл бұрын

@@SpyridonJohn1633 that me made smile :)

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.

“We have zero objects” *zooms in on blank paper*

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

2 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 "".

I liked the cheeky little zoom to get a more detailed shot of the nothing.

2:56 'You've broken maths Brady, STOP THAT!!!'

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.

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

3 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

"Hi, -1 factorial?" "Sorry, mathematics broke" "Understandable, have a nice day"

All of us programmers read "0!=1" as: zero is not equal to one, which also happens to be true.

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

3 жыл бұрын

more like: _the floor isn't made out of doors_

I really like the way you arranged the zero objects. You are a true artist.

I love Dr. Grimes he has such an enthusiasm to him that i absolutely adore

@CONGTHEGUERILLA

3 жыл бұрын

Fr hes not even tryin to teach hes just having a blast

@-enzyme

3 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?

The zoom in on "nothing" just made my day

@halonothing1

6 жыл бұрын

Haha I noticed that too.

@VencottOutdoors

5 жыл бұрын

2:55 1÷0

3:59 I love the dramatic zoom in

@paddy.r.l4791

4 жыл бұрын

Also see 4:13

i could watch videos of James all day, whether i understand what he's talking about or not his enthusiasm is so infectious he makes everything interesting

"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

7 жыл бұрын

read this at the exact moment he said it, and its my first time watching this vid

@ShakilHashmi

6 жыл бұрын

Loved that actually...

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

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!

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.

You've broken math Brady! Stop that.

I hate when math breaks

2:23 I love how you can see the “oh shit” in his eyes when he knows he can’t answer the question

when he says “wanna see me do it again, there it is” gesturing to the empty piece of paper, my day was made

He doesn't do drugs. He does maths. It gets him so high he can graph an exponential function in Cartesian coordinates.

@rewrose2838

7 жыл бұрын

?

@michaelwinter742

7 жыл бұрын

Rew Rose Exponential growth quickly does not fit on a Cartesian coordinate system. We use logarithmic graphing for exponential growth curves.

@rewrose2838

7 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?

2:55 *math.exe has stopped working*

@anandsuralkar2947

4 жыл бұрын

Lol tumbhh Error exception 000xxxxx0x00x

@dr.stephen.strange

4 жыл бұрын

Rather my brain.exe has stopped working

@xxxBradTxxx

4 жыл бұрын

l'hopital's rule

So contagious and engaging the way he carries his argument. ❤️

Love this channel! Opens up my mind to new mathematical ideas and refreshes me on ones I already knew.

"You've broken maths, stop it" I love this channel

"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

@szymongorczynski7621

8 жыл бұрын

Remavas Yes, I know the Americans can't spell.

@flawlessgenius

7 жыл бұрын

+Szymon Gorczynski h!=hs thats why 'stop that' wasnt exclaimed

@szymongorczynski7621

7 жыл бұрын

flawlessgenius And where did I question that?

Everything was going fine. Then came 5:38

@leocharpentier4412

4 жыл бұрын

Really yuh

@blow-by-blow12

3 жыл бұрын

Exactly my experience. I was feeling quite smug up to that point.

@VandroiyIII

3 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.

"There is zero objects" *Zooms in on the paper*

so -1! breaks math and 1! is 1 well that's discrimination!

I was sort of expecting the paper to burst into flames when they tried (-1)!

@Woodside235

9 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

Has a huge blackboard Wastes sharpie and cardboard

@RoKishDubbz

4 жыл бұрын

They hoard chalk, mate

@shambosaha9727

4 жыл бұрын

It is brown paper

@demonking86420

3 жыл бұрын

@n a they do lines of chalk

@NoriMori1992

3 жыл бұрын

This is their brand, man.

*zero objects* _INTENSE ZOOMING_ *Nothingness intensifies*

You've broken maths, Brady, stop that...

philosophically i think there are infinite ways to order 0 objects.

@EmperorZelos

8 жыл бұрын

+sharon f Okey, present 2 different ways.

@victorfeltes

8 жыл бұрын

+sharon f Or alternatively, there are zero ways to order 0 objects.

@EmperorZelos

8 жыл бұрын

Fr. Victor Feltes But there is at least one way, namelyin no order.

@victorfeltes

8 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

8 жыл бұрын

Except that question is malformed as it assumes an inverse of 0 exists which it doesn't

I literally know almost nothing about math beyond multiplication and division but this kind of stuff makes me want to know math.

@yosefmacgruber1920

5 ай бұрын

You seriously need to understand algebra if you want to write computer programs or do spreadsheets. But I figure you need to know some serious advanced mathematics, if you want to balance the field equations to levitate the flying cars of the future.

Brilliant and concise explanations for O! and the so useful Gamma function. Thanks a lot Dr James!!

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

You've broken maths, stop that! lol

@t0k4m4k7

9 жыл бұрын

xD

I love this channel, and 2:54 is such a perfect moment to encapsulate the whole thing.

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

2 жыл бұрын

He said that in the description.

"You've broken maths, Brady stop that"

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

6 жыл бұрын

Put 0! In a calculator, nurd.

The camera work during the arranging of one coin is amazing. Loving the zoom - made me laugh.

"Slightly philosophical" Ok that's the part I've been waiting for.

3:12 *pulls out his entire life savings*

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

The moment you say "there isn't" is so insightful and comical, thanks!

It was cool to see him go into continuous factorials at the end, as a math major, I haven’t learned that yet

@yosefmacgruber1920

5 ай бұрын

Yeah, I loved that he at least mentioned continuous factorials. Although I was looking for a video that much better explained that. I would like to know how I could calculate the exact value of (1/2)! by hand.

"0!=1" well that's quite obvious for Programmers!!!

@bowel_movement

5 жыл бұрын

!0 == 1 but, !0 !== 1

@hachikouji1850

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*

2:53 is the funniest part of any video I've seen

"Who says mathematicians don't make any money? There's literally ***50 p*** here!" I've never laughed so hard in a numberphile video

tremendous explanation. I owe to you for providing us with such a crucial lesson

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.

@corklleen2505

6 жыл бұрын

its like hes bullying math

@demonstalker7925

6 жыл бұрын

I laughed to at that XD

@aaronjuarez7470

5 жыл бұрын

Hahahahahah, sameeee

"You broken maths Braidy. Stop that!" 😂 I love numberphile.

The zoom in at 4:13 is just legendary at this point

My favourite reasoning is that it is an _empty product_ and 1 is the multiplicative identity - it _is_ the empty product - the product with no terms. Similarly, a^0 is an empty product. In the same way, an empty sum is 0 - if you use ∑ notation and put the limits as n=0 to n=-1, there are no elements of the sum and it is 0.

@angelmendez-rivera351

2 жыл бұрын

Exactly! This is also my favorite reasoning. More precisely, you can think of n! as being defined as the product of (1, 2, ..., n). Hence 3! is the product of (1, 2, 3), 2! is the product of (1, 2), 1! is the product of (1), and 0! is the product of (). Since the product of () is 1, 0! = 1.

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)

I completely lost it when when he started Gamma

Thank you for correcting the formula for gamma(n) in the description.

so basically the factorial function is defined such that it works how we want it to work.

I love the way the camera zooms in on the zero objects.

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

This reminds me of my favourite quote " If you change nothing, nothing will change"

@arunabhganodwale1022

3 жыл бұрын

That's written on my shirt while I am reading this ' If nothing changes, nothing changes'

Mathematics is a spirit and I’ve been impacted very much. I’m really appreciating your goodness

"You've broken Maths, Brady, stop that!"

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...

10 years ago and this stil hits hard

Brilliant. Great teacher. 0! = 1! = 1. Very tempting drop off the factorial notation and we get 0 = 1.

@boogathon

2 жыл бұрын

You've broken the maths!

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."

0 != 1. Zero is not one. Programmers..?

@Savageboi506

7 жыл бұрын

That's what I imagined when I saw the thumbnail xD

@hussainattai4638

7 жыл бұрын

Hahahaha!

@cptshinigami

7 жыл бұрын

I was coding in C# just few minutes ago. Then I saw it, that was my first thought.

@Savageboi506

7 жыл бұрын

***** You know you were able to write that comment because of JS, right?

@harambe4686

7 жыл бұрын

Magyar Attila Eyyyy

I liked how he fast zoomed to an emtpy space

If you are arranging zero objects, there is one way to do it. Call a psychiatrist.

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

5 жыл бұрын

Both are true

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.

4:12 : “We have zero objects” Camera : *zooms in for a closer look*

2:22 So many things in math are just declarations of axioms. Thank you for asking that question.

You broken math Brady! stop that! :D :D :D :D :D

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.

for the people who say that 0! is undefined because you can only take the factorial of a positive integer, Euler's very broken up about your revelation.

This is a great lesson in the difference between what a mathematical operation is and how to compute it.