"BUT, if I am naughty..." Oh baby, talk nerdy to me~

@karlcorrz

8 жыл бұрын

LOL

@yard2010

8 жыл бұрын

+James Lynn Savage

@f1f1s

8 жыл бұрын

+James Lynn Rounding to the first decimal place also counts as naughty. Computing ∫e^x dx makes one horny.

@stonecat676

8 жыл бұрын

+James Lynn oh my lord

@Closeuplogic

8 жыл бұрын

pearl you're smart, what's the real answer here to 1/0

Matt is very smart for a guy who writes infinity as double zeroes instead of a laying eight

@marzi_kat

2 жыл бұрын

What if he writes eight the same way?

@rorschak47

2 жыл бұрын

And X as two C having each other's back

@OrangeC7

2 жыл бұрын

@@marzi_kat It's treason, then.

@TabooGroundhog

2 жыл бұрын

@@rorschak47 Well that’s cause it’s a cursive x

@lonestarr1490

2 жыл бұрын

@JZ's Best Friend They would put him in a room with a quadratic floor and call it the Parker Square.

"glorified adding" is the best description of multiplying ever

@BasicEndjo

3 жыл бұрын

would that mean exponents are extra glorified adding?

@shnob4916

3 жыл бұрын

@@BasicEndjo glorified multiplication

@BasicEndjo

3 жыл бұрын

@@shnob4916 yeah and multiplication is glorified adding. then exponent is *extra* glorified adding

@TnseWlms

3 жыл бұрын

An article in the Onion from 1907 reported that a record breaking number of American children are staying in school beyond third grade. They are learning advanced skills such as multiplication, which we are told, is a powerful form of adding, resulting in numbers so large that three or even sometimes four figures are required to write them.

@rishabhnitc

3 жыл бұрын

This is what I told my 2 grader. “Fast addition”

My 7th grade algebra teacher would only whisper of dividing by zero because it would “upset the calculator gods”. He was one of my favorite teachers ever.

@DaDonElChulo

2 жыл бұрын

Great anecdote

@malteepmeier

2 жыл бұрын

My math teacher said he could taste numbers

@ditian6234

2 жыл бұрын

@@malteepmeier Ah, Synesthesia!

@cones914

2 жыл бұрын

@@malteepmeier mine snorted cocaine in class and offered some to us.

@pxlbits6442

2 жыл бұрын

@@cones914 Disgusting! Where is that teacher located? So I can avoid it

I suggest we define 1/0 = blue

@blue9139

5 жыл бұрын

Jonathan Tanner Look at me

@CaseyShontz

5 жыл бұрын

Jonathan Tanner make a petition

@nataliaborys1554

5 жыл бұрын

1÷0=blue. The newest axiom in mathematics.

@bsm239

5 жыл бұрын

x/0 = blue(x+1)

@XnoobSpeakable

5 жыл бұрын

@@bsm239 1÷0=Blue×1+1=Blue×2=2Blue

"Only a nerd would tell you differently." *cuts to Parker* - Sooo, first of all [...]

@dackid2831

5 жыл бұрын

Even better "... and that's when you cut to Matt telling them differently."

@Exploshi

4 жыл бұрын

i clicked the [...] in ur comment wtf wrong with me lol

@avi8aviate

4 жыл бұрын

"And then we cut to a nerd telling you differently."

@dontmd4158

4 жыл бұрын

exploshi I clicked the [...] on yours😂

@Kavafy

4 жыл бұрын

thatsthejoke.jpg

A video featuring both Matt and James is such a lovely treat. They are infinitely different.

@anushkadas9267

2 жыл бұрын

i see what you did there hahah

@gddanielk8491

2 жыл бұрын

Gosh you can’t say that

"The problem is it's a dangerous number and a lot of things can go horribly wrong with 0" "Mom I got 0 in maths" *UH OH*

@savitharao7283

2 жыл бұрын

Lol

@tenplusten1116

2 жыл бұрын

if it was art, it would’ve been better

@mmmmmmmmmmmmmm5866

Жыл бұрын

@@boncoderz1430 you mean nice zero?

@leyyes

Жыл бұрын

@@tenplusten1116 Especially if you're from Austria...

@annxu8219

6 ай бұрын

@@leyyesuh oh…

1/0 = blue the secret is out

@georgeabreu6392

7 жыл бұрын

Lol.

@ChrisBandyJazz

7 жыл бұрын

Oh deah, it's a poblem

@blackice7317

7 жыл бұрын

He used a 1/0 Sharpie.

@head_snapss7587

7 жыл бұрын

Shhh, You're not supposed to tell anybody

@gheorghegeorgescu3171

7 жыл бұрын

Are you talking to Blue the Dog about the secret?

For the "why does it return Error in a computer" question, the division assembly instructions (at least for x86) are designed to generate an interrupt when the divisor is zero. In other words, they are told to error out.

@XnoobSpeakable

4 жыл бұрын

What would happen if they werent?

@y-ax2-bx-c5

4 жыл бұрын

@@XnoobSpeakable Presumably it would attempt that forever. It'd never find its result, and the part that tells it to stop has been chopped off, so it'll just never stop

@Suicidekings_

3 жыл бұрын

@@XnoobSpeakable setcomputeronfire.exe would initiate and well... You get the idea.

@XnoobSpeakable

3 жыл бұрын

@@y-ax2-bx-c5 its like a minecraft world made out of sand Just falls fprever amd uses exponentaially more power

@seushimarejikaze1337

3 жыл бұрын

@@XnoobSpeakable cpu would hang at 100% usage trying to compute the result of what cant be computed, until you restarted it. therefore safety instruction/lock was added to prevent such.

12:49 "we could make it anything we want it to be depending on the angle we come at it from" sound life advice right there

"Divide" -No "GlOriFieD SuBsTrAcTioN" - *YES*

@debblez

3 жыл бұрын

Substraction?

@wobblyorbee279

3 жыл бұрын

That is like roblox ad...

@niccolopaganini1782

3 жыл бұрын

Thank me for i was the 69th to like Jk

@wobblyorbee279

3 жыл бұрын

@@niccolopaganini1782 hello paganini

@xuly3129

3 жыл бұрын

0/0 = calculus

"We have to slide it in, from both directions." - Phwoar........

@anonymousaubergine4455

8 жыл бұрын

stop. lets keep it PG

@rlrsk8r1

8 жыл бұрын

+Sarah Cartwright Hi Sarah!

@MagisterMalleus

8 жыл бұрын

+John Yyc zero ain't PG mate. Zero is a dirty boy.

@matrixphijr

8 жыл бұрын

+Sarah Cartwright "So you say, 'Well, if it doesn't matter which side we're coming in from... surely we can just call it one.'"

@matrixphijr

8 жыл бұрын

+John Yyc Even PG movies are allowed brief adult moments.

Plot twist; the entire Numberphile series is a promotion for Sharpie.

@KungFuPanda1223

4 жыл бұрын

vihart???

@NoahSpurrier

4 жыл бұрын

Andrew Jones - And brown paper.

@past12799

4 жыл бұрын

I can smell the sharpies.

@cadespaulding3837

4 жыл бұрын

And the brown paper

@EnerJetix

4 жыл бұрын

DUN DUN DUN

Now, I had always been taught that X/0 was "undefined", while 0/0 was "indeterminate". The logic behind this is that the denominator (or "divisor") should always be able to be made equal to the numerator, by multiplication with some factor. So, for example, 1/2 = .5, thus 2 can be made equal to 1 by multiplication with.5. However, in the case of X/0, there is no factor that can make 0 = X, since 0 times ANYthing is always 0. So, there is no correct answer, therefore, the problem is "undefned". On the other hand, in the case of 0/0, literally ANY factor will make 0 equal to itself, so there is no INcorrect answer. Thus, in essence, any value is equal to any OTHER value, which is impossible. Therefore, the problem is called "indeterminate", since one cannot determine what value best solves the problem.

@Firefly256

2 жыл бұрын

@Vikas Bhardwaj what if we define 0/0 as equal to 0

@angelmendez-rivera351

2 жыл бұрын

I know you said this is what you were taught, but it bears mentioning that this is just incorrect. There is no such a thing as "indeterminate" in mathematics, and people need to stop using this word forever. 0/0 does not exist. Period. That is all there is to it. And there is a very simple reason it does not, but it just has to do with what division itself is. Division is just multiplication: multiplication by the reciprocal, to be exact. 0 has no reciprocal. So one cannot divide by 0.

@Firefly256

2 жыл бұрын

@@angelmendez-rivera351 because in calculus, 0 is not exactly 0, 0 can be 0.0002 or -0.00001, numbers are not exactly their values. That’s why there is indeterminate

@OptimusPhillip

Жыл бұрын

​@deaf I fail to see how those points connect. 0*x = 0 for all values of x is a true statement. I don't see how this implies that 0/0 = 1 any more than it does any arbitrary number.

@OptimusPhillip

Жыл бұрын

​@@angelmendez-rivera351 Yes, in terms of numerical value, indeterminate forms are considered undefined. But they are very useful in calculus because of how they affect limits. (f(x+h) - f(x))/h = 0/0 when h=0, so it's undefined. But the limit as h approaches 0 is very much defined (when f(x) is continuous), and is in fact the definition of the derivative. If 0/0 is just undefined, derivatives don't exist, and calculus doesn't work. That's why we have indeterminate forms, at least when working with limits

There's a video around of an old mechanical calculator which gets stuck in a loop when trying to divide by zero, and the operator has to press the abort button to stop it running. Nothing bad happens - it just keeps subtracting zero and counting how many times it subtracts zero and it never finishes.

I love these numberphile videos because you can litterally notice how they get high on math as the video goes 😂

@Halolaloo

5 жыл бұрын

i see much enthusiasm :D I suggest "a hole in a hole in a hole" :D

@emilyreynolds9206

5 жыл бұрын

Math makes me horny

@randomaccessfemale

5 жыл бұрын

It's the only way to fly.

@stargazer7644

4 жыл бұрын

That's what happens when you inhale sharpies.

@xexpaguette

4 жыл бұрын

*Meth

*Santa:* You don't get presents this year because you were naughty *Mathematician:* What! Why? *Santa:* You used infinity as an answer

@marilynman

4 жыл бұрын

in high school I was doing a problem on the blackboard in an algebra class and I was finishing it fast so I was writing both sides of the equation (my way of doing it) and the teacher saw it and yelled "algebraic sacrilege!!!!" and that scared me lol and everyone else in the classroom. I swear that we almost hear thunders falling on us. Sufficient to say that I never had the opportunity to explain to him that I was still writing my answer, so I just completed the answer as a "correction".

@circuit10

4 жыл бұрын

@@marilynman You're supposed to write both sides?

@marilynman

4 жыл бұрын

@@circuit10 I meant that when you start writing it, you begin with the right side, you finish writing that side and then move on to the right side. I was doing both sides at the same time.

@AKM-vo9lw

4 жыл бұрын

X/0 = santa

@caringheart34

4 жыл бұрын

@Eero Naughty boy. Now you cannot wish to Santa anymore. Even finding out the meaning of life and solutions to infinity.

A decade later and still a fantastic video!

@oz_jones

Жыл бұрын

Ten, meaning one, zero. Coincidence? I think not!

There's some great footage on KZread of mechanical calculators, oldschool ones, dividing by zero. No programmed-in "Math Error" there, the things just spin forever making a racket, they're probably subtracting zero over and over but maybe some of them are failing in a more clever way.

@SharpAssKnittingNeedles

Ай бұрын

Error; task completed successfully 😂

The way he smiles when he brings in the complex numbers...

@looxluthor802

6 жыл бұрын

And that all the while glossing over X^X for negative X looking really strange (it's jumping all over the complex plane and is basically discontinous everywhere). That is not a function for which you want to find a limit. The complex version must be just as bizarre.

I divided 1/0 in my calculator and now it runs Super Mario 64.

@farisakmal2722

5 жыл бұрын

if I divide by 0 on my smartphone, can my smartphone calculate a rocket launch?

@chaoticwaffle5487

5 жыл бұрын

@@farisakmal2722 Probably

@blue9139

5 жыл бұрын

I divided zero on my table and now it can shoot lasers and fly

@harleylequin3987

5 жыл бұрын

ok............

@namechangelol9815

5 жыл бұрын

I inputted 1/0 into a sideways 8 and now every time I draw an 8, it Runs fortnite

11:23 Even the painting is interested in mathematics.

@lombridious

2 жыл бұрын

lOL

The way he writes Infinite Haunts me 3:07

Don’t expose them to sunlight, don’t let them eat after midnight, don’t get them wet, and never divide by zero

@mistercherno

5 жыл бұрын

I understood that reference!

@jerry3790

5 жыл бұрын

But it’s always after midnight...

@rosuav

4 жыл бұрын

Do not touch the operational end of The Device. Do not submerge The Device in liquid, even partially. Most importantly, under no circumstances should you divide The Device by zero.

@steveheist6426

4 жыл бұрын

AND NEVER EAT PEARS!

@myownmeadow1320

4 жыл бұрын

… And those are the rules for math gremlins.

1÷0= infinity 2÷0= Double infinity There I Fixed it

@coulombicdistortion1814

4 жыл бұрын

@Interesting Numbers Wait a minute, then you can multiply both sides by 0 and get 1=2. I think the Illuminati must be at work here. -lol

@annoyinglyfast5972

4 жыл бұрын

@@coulombicdistortion1814 Here's the thing about multiplying by zero: anything multiplied by zero is zero. So 0(1/0=2/0) (1*0)/(0*0)=(2*0)/(0*0) 0/0=0/0

@neelamshroff

4 жыл бұрын

Travis Ryno I have been stuck on this since last evening. My 13 yr old told me exactly this, and then used Banach-Tarski model to say that 1+1=1 is mathematically possible. I don’t know right now whether to believe his hypothesis or continue to say x/0 is undefined.

@heathc148

4 жыл бұрын

@@annoyinglyfast5972 He is saying that the logic is wrong

@joshuapinkham4631

4 жыл бұрын

@Travis Ryno therefore 0/0=0

6:10 Yes, computers are taught not to divide by 0. The reason is because bitwise math operations are only add and subtract. Multiplication is just repeated adding, while division is repeated subtracting. If you divide by 0, you are telling the computer to subtract 0 from the original until the value of the original is

@keonscorner516

2 жыл бұрын

≤ not

@mdsharfuddinmd5710

Жыл бұрын

Happy New year sir

@jathebest2835

Жыл бұрын

But Javascript gives back Infinity..

@puppergump4117

Жыл бұрын

@@jathebest2835 That doesn't matter since the sign of the quotient is determined by the dividend. So are you going to get it as infinity or negative infinity? Since the answer is undefined anyways, is there a point in computing it?

@puppergump4117

Жыл бұрын

@@mdsharfuddinmd5710 hi you too

2:25Mathematicians definition if “naughty” and “evil” - “Ooh, what if I said 1/0 = infinity? Ooooooh”

÷0 looks like a screaming person

@IntergalacticPotato

5 жыл бұрын

Yep

@soulubilityofficial6635

5 жыл бұрын

Fitting

@digitalfootballer9032

5 жыл бұрын

It's screaming at you for trying to destroy the universe.

@blue9139

5 жыл бұрын

Thats the reason you cant devide by zero. But you can devide zero.

@michelllozano6214

5 жыл бұрын

Or like a key

Joke's on you, I divided by zero and got an answer. I put 1/0 in my calculator, and got "Error". So, 1/0=Error.

@modvind

7 жыл бұрын

Jude Pelaez makes sense lol

@domantasbronusas

7 жыл бұрын

basically, you get something, what programmer wrote. And of course he lies.

@jospehas7850

7 жыл бұрын

Jude Pelaez 0 divided by 0=error

@U014B

7 жыл бұрын

Jude Pelaez So 1/0 is the guy from Zelda 2? Brilliant!

@Niom_Music

7 жыл бұрын

Jude Pelaez but what about 0 divided with 'error'?

Multiplication and division are the next iteration of addition and subtraction. The iterations beyond those are exponents and roots. When you get beyond that, it gets really hairy. Layered exponents (also known as "towers") and roots (just the reciprocal of towers) are as far as most people dare to go. But you can technically go as far as you want, and Knuth invented a special notation to explain the weird realm beyond layered exponents/roots. It was used to create one of the largest numbers ever conceived, Graham's number.

Software developer here: We don't try to solve it by any method... we throw error for situations like this 😂

@AbhiMule404

2 жыл бұрын

@@ForeverStill_Fan1 start with C or C++ Understand the basics of programming... Don't directly jump to python... Python is a high level language doesn't help too much for building logic... For frameworks- depends on your interest

Everybody in this comment section is a math genius....

@Commievn

9 жыл бұрын

welcome to the *light side* of KZread, buddy. Literally, it was such a culture shock for me when i 1st came here XD!

@borilboyanov5544

9 жыл бұрын

Chris Griffin Hah! MY EYES! Yes... YT is changing :)

@junofall

9 жыл бұрын

Except from me :(

@Wild4lon

9 жыл бұрын

'Maths genius?' Ohnhon this is stuff which, if you ever paid attention in school, should be logical. I don't understand why people believe that worked out concepts are so hard. You just gotta puzzle over it until you understand.

@ArticulateDuck

9 жыл бұрын

The word "everybody" is actually conjugated in the singular, as in "everybody was Kung Fu fighting", and not "everybody were". Genii is acceptable, however.

When i was a child. I thought 0 and -0 were different numbers, and i kept counting wrong when going from positive to negative or negative to positive

@digitig

4 жыл бұрын

In IEEE 754 format they *are* different numbers. They behave very much alike, though.

@p.as.in.pterodactyl1024

4 жыл бұрын

What's bigger, zero minus zero, or zero minus negative zero? Lol just kidding.

@DrunkenUFOPilot

4 жыл бұрын

@@p.as.in.pterodactyl1024 Who is bigger, Mr. Bigger or Mr. Bigger's baby? The baby, because he's a little bigger.

@user-yv1qs7sy9d

3 жыл бұрын

Original commenter: You were born with what is called "Ones' complement"! I guess you were upgraded to "Twos' complement" since then.

@sennahoj9332

3 жыл бұрын

@@user-yv1qs7sy9d What is that?

5:50 The look you get, when you're on a date with a mathematician

I recently learned what the actual name for 0/0 is in Calculus. It's called an indeterminant, because it can give any answer. If we want to solve it, we need to know the function that created the 0/0, as they show. Then we take the derivative of the top and the bottom (separately), and try to divide again. We repeat until we don't get a 0/0

@maddoxmayo

2 жыл бұрын

L'Hopital's!

@cpotisch

2 жыл бұрын

That’s not quite accurate. An indeterminate form like 0/0 is entirely meaningless on its own and fundamentally can not be “solved” unless you’re talking about in terms of a limit. Furthermore, 0/0 isn’t the only such form, so your use of L’hopital often isn’t applicable.

@gamerdio2503

2 жыл бұрын

@@cpotisch All the other indeterminate forms can be turned into a 0/0 or inf/inf form, in which L'H can then be applicable

@cpotisch

2 жыл бұрын

@@gamerdio2503 e^x-x as x goes to infinity?

@gamerdio2503

2 жыл бұрын

@@cpotisch Fair enough. Most of the time, the indeterminate form can be converted into a form usable with L'H. Although, you can just use the fact that e^x grows faster than x to get a quick answer

"We can no more say that 1 divided by 0 is equal to blue" I lost it

@meta04

5 жыл бұрын

"we can no more say that *than* [that] one divided by zero is equal to blue" you missed a "than"

@matrixarsmusicworkshop561

5 жыл бұрын

@@meta04 ?

7:44 "We're gonna slide it in and, in fact, we're gonna have to do it from both directions" O___0

@thatoneguy9582

5 жыл бұрын

Liam Dienemann “more than a numberphile”

@Rudxain

4 жыл бұрын

An Infinityphile XDXDXDXD

@caringheart34

4 жыл бұрын

There's a reason why infinity is drawn as two circles.

@brunnomenxa

6 ай бұрын

Nice

6:25 totally agree with that. I know that when I do a really intense calculation on Desmos, the calculator displays to me a message saying "definitions are nested too deeply"

I still remember that day when I was in the middle school. Our math teacher, let us use 1 divide some positive numbers smaller and smaller, than we found the results bigger and bigger. Then we use negative numbers bigger and bigger, and the results were smaller and smaller. On that day all of us remembered we cannot use some numbers simply to divide 0.

When you asked the old Sinclair calculator from the 70s to divide by zero, it actually tried! It would give you multiple answers one after the other until eventually it spat the dummy, showed all the decimal points and locked the screen.

@benp9793

5 жыл бұрын

spat the dummy? that isn't a phrase

@toodsf1

5 жыл бұрын

Ben P it is in Straya

"Maybe this line goes all the way around and wraps around the entire universe and things come back up here" I'm having vertigo

@digitig

4 жыл бұрын

Not surprising if you know the history of the projective plane...

@nanigopalsaha2408

3 жыл бұрын

@@digitig *flashbacks

@StevenAyre1

3 жыл бұрын

I've always interpreted it as being positive and negative infinity and every possible number in-between. Not sure if that's valid though.

@oerlikon20mm29

3 жыл бұрын

@@StevenAyre1 yes, 1/0 is every number ever to be thought of at the same time...

Also, it can’t be infinity, because even if you subtract it an infinite amount of times your still going to have the number you started with.

@Vespyr_

2 жыл бұрын

But all division does is count the subtractions that took place to reach the number. Therefore, it isn't infinity or the number you started with. It's 0. 20 / 4 = 5 (Five Subtractions) 20 - 0 = 20. No subtraction took place. 20 / 0 = 0 (Zero Subtractions)

@angelmendez-rivera351

2 жыл бұрын

@@Vespyr_ No, that is horribly incorrect. Firstly, that is not how division actually works: division is not repated subtraction, and multiplication is not repeated addition. Secondly, even if division did work that way, your answer is still wrong, becaue 20/0 would be equal, by your definition, to the number of times you have to subtract 0 from 20 to achieve 0. The problem is that, even if you subtract 0 an infinite amount of times from 20, you still do not achieve 0. The answer is not 0, nor is it an infinite number. It is just impossible to achieve 0 via such repeated subtractions, hence 20/0 is undefined. Nevermind this, because as I explained firstly, division is not repeated subtraction. The reason division by 0 is problematic is because, in order for division by a quantity A to be possible, you need to have the following property: if A·x = A·y, then x = y. This does not occur with 0. 0·1 = 0·(1 + 1), but 1 = 1 + 1 is false, in general. So division by 0 is hopeless.

@aaykat6078

2 жыл бұрын

The answer is super existence, a level above every number

@thefloormat3297

2 жыл бұрын

@@angelmendez-rivera351 I think you missed the point of glorified subtraction but that idea does work, 28 divided by 4 is just 28 minus 4 over and over till its 0, which is when it's been subracted 7 times

@angelmendez-rivera351

2 жыл бұрын

@@thefloormat3297 No, dude, I literally addressed it within my first sentence. Maybe you do not know how to read. Also, I already explained how subtraction does not work. You cannot subtract 0 over and over from 20 until you get 0. It is impossible.

Dude who makes the infinity sign like that 3:09

@aweebthatlovesmath4220

2 жыл бұрын

Who cares how it looks only what it means matter

An accountant, an engineer, and a mathematician are asked how much is 1 + 1: Mathematician: "1 + 1 is 2 and I can prove it" Engineer: "Well, 1 + 1 is anything between 1.8 & 2.1" Accountant: "It depends. How much do you want 1 + 1 to equal?"

@JoeLinux2000

5 жыл бұрын

Democrat: 1 x 0 = transgender Republican: 1 + 1 = homophobe

@crackedemerald4930

5 жыл бұрын

Quantum physicist: i don't know until i actually calculate it Surrealist: yes Communist: 1/2 for me, 1/2 for you, and 1 whole for the state

@DeadJDona

4 жыл бұрын

It depends whether we sell or buy.

@jjjjj2220

4 жыл бұрын

How to make a million dollours on paper with 50

@naimy4511

4 жыл бұрын

Numberphile: Imma head out

The computer is actually taught to not divide by zero. There are many situations in software where dividing by zero is caught and protected against. My brother used to work in a hardware store and he had a computer that gave a 'divided by 0' blue screen. According to the story, he laughed insanely laud at that blue screen. Usually that doesn't happen but the computer had a defect RAM which fed corrupted data into the processor as it fetched the information to execute the micro programs. The processor actually had a build in protection to prevent dividing by zero, it stopped the operation and 'breached' away from its micro instruction to the error handling of windows which on its term showed the blue screen. In short, the computer doesn't even attempt to divide by zero. If you were to try and do it it would probably try to apply a form of implemented long devision which would obviously fail and I have no clue what it would return.

@htmlguy88

8 жыл бұрын

Robert sorry KZread isn't letting me post my own comments one thing I would note for the people at number phile is it's as easy as defining 0*y=0 y in the complex plane but not =0 so 0 divided by 0 makes no sense since you can turn it into y*0/y1*0 the 0's can be seen to cancel and then you get y/y1 for any values y,y1 and therefore can take on any of any infinite values.

@vitor.araujo25

8 жыл бұрын

***** Actually, I think that algorithm doesn't quite simulate a division by zero because, for any value you insert as a divisor (if you swapped "int(n) - 0" for ,say, "int(n) - 3", for example), you'd still have an infinite loop (because the condition for the while loop will always be true and there is no condition for it to actually stop). A true general algorithm for a division of integers would be something like that: ----------------------------------------------------------------------------------------------- n = int(raw_input("Insert the dividend: ")) m = int(raw_input("Insert the divisor: ")) c = 0 result = n while True: result -= m if result remainder = result + m break c += 1 print c print "%d/%d = %d with a remainder of %d"%(n,m,c,remainder) -------------------------------------------------------------------------------------------------- If you insert 0 as the divisor, the "c" values will explode into infinity on the screen until you hit that close button, however, inserting other positive integer values would return normal division results. :D (also written in Python, because screw it, i'm on that lazy train too \o/)

@szlomajosif2711

8 жыл бұрын

Robert Dividng is reverse of multiplyin so: 4/3 is 4 * (1/3) and a proof of this is that: (4/3) * 3 = 4 (a/b) * b = a so: if b = 0 and a is any N then a =/= a which as answer is not in set N because any a in this set is equal to itself (4/0) * 0 = 0 ==> 4=0 The result of this nonsene came from the set. Any result on the corpus of N must result in the corpus of N and 0 is not in even in the set of N.

@robertfennis6088

8 жыл бұрын

Szloma Josif Point being?

@szlomajosif2711

8 жыл бұрын

Robert Fennis Set dosent include result. Need a larger set with algebra over biger corpus with a diferent ring and more dimensions. And of course problem is solved, directX is working perfectly without gimbal lock on this wee issue of dividing by zero.

Zero: Oh you’re approaching me?

If I understand my computer science right, computers' physical arithmetic processing units throw errors when they're ordered to divide by zero, which would cause horrible breakage. In practice, though, the command to divide by zero is intercepted by stuff like the operating system long before it actually manages to reach the hardware.

0 is my favorite number because it has no value, just like me.

@jsbaasi

7 жыл бұрын

I read this and I laughed. Thank you very much for that laugh. :)

@spinn4ntier487

6 жыл бұрын

ᎢᎻᎬᎠᎾᎠᎾ ᎬNᎢᎻᏌᏚᏆᎪᏚᎢ jokes on you, our numbers don't work without a concept of zero

@fredericofp

6 жыл бұрын

ᎢᎻᎬᎠᎾᎠᎾ ᎬNᎢᎻᏌᏚᏆᎪᏚᎢ CRAWLING IN MY CRAWL

@lukelouis4034

6 жыл бұрын

Bad day?

@chhavigupta2802

6 жыл бұрын

Ooh ..hope that was limited to being a joke.

3:05 Noooooooooo!!! Draw infinity as a continuous loop not two circles!!!

@coconoisette

4 жыл бұрын

It's ugly

@disappointedcucumber

4 жыл бұрын

@Al Gee Writing it as a continuous loop has a more comfortable flow than two separate circles

@toniokettner4821

4 жыл бұрын

two circles are not a lemniscate!

@CubyChrisAnimations

4 жыл бұрын

Yeah, the entire point of the symbol is being a literal neverending loop

@reinhardtsanchez7952

4 жыл бұрын

haha infinity go oo

This is my favorite video on this channel. Makes me chuckle every time.

0 *exists* Numberphile: It's free real estate.

Most CPU's have a specific return code for "Divide by Zero Error", meaning it doesn't attempt to calculate as the error is handled at the CPU level.

@yvesisnotaname2813

5 жыл бұрын

Number_055 return 0;

@DanCojocaru2000

5 жыл бұрын

I think it's implemented at OS level. And older operating system just tried to subtract 0 from the number forever, forcing you to turn off the power and turn it on again.

@owlstead

5 жыл бұрын

@@DanCojocaru2000 If you actually think that applications call the OS to perform calculations then you haven't got a clue what an operating system actually does and doesn't do. Division is not a system task, it can be performed by any application that is directly using the processor (CPU) at user level. Actually, most CPU's have division build right into them...sometimes incorrectly, check the Pentium bug (for floating point division).

@majormalfunction0071

5 жыл бұрын

Specifically, it's a hardware trap (ie. hardware exception) generated by the CPU at the time of division, at least on x86 / x86-64.

@thatfield977

5 жыл бұрын

Edit: I made a mistake in my original post, and I apologize. A divide-by-zero will return a "not a number" (NaN) result for a floating-point division. I don't know off the top of my head what result an integer division returns - this is something I should either look up or simply test - but the divide-by-zero register is still set, which can be queried to determine if an exception should be thrown. Floating point values may contain infinity and negative infinity as actual values, and if you want, you can treat a divide-by-zero as infinity, and I have in fact seen API's that do this, but generally speaking, you don't want a divide-by-zero to ever be a valid operation. Original post: @@majormalfunction0071 Intel CPU's will happily divide by zero and return either infinity or negative infinity, depending on the sign of the operation - they also differentiate between zero and negative zero; the sign is simply a bit in the return value. They will, however, as Number_055 noted, also set a "divide by zero" register notifying the application requesting the operation that a division by zero occurred, which the application may then treat any way it likes, including treating the operation as an exception and possibly crashing itself. I wholly agree that "infinity" is not a valid return value for a divide-by-zero, but the IEEE standards committee had to settle on something that would work from a technical standpoint.

2:20 - 2:30 But 1/0 is equal to blue.

"anything divided by zero is counting to infinity." Vsauce: *how to count pass infinity*

@gandolph999

Жыл бұрын

Division by non-existence? It makes no sense.

There's something so wierdly soothing about the way matt writes X's

"And people will yell at me if i say its infinitely different" i lost it

If I had numberphile as my math professor, Vsauce as science, I would top the school.

@8megadeth666

7 жыл бұрын

I don't think Vsauce knows curriculum science. He is only interested in the abstract and ambiguous topics of science.

I noticed this many times that 0/0 tends to be anything in different cases but today i understood its real reason

these videos are really interesting, great channel!!!

anything divided by zero = 42 come on people! don't you know your DNA?

@SpectatorAlius

10 жыл бұрын

You must be descended from the telephone sanitizer;)

@ATBPjako

9 жыл бұрын

so zero = life?

@thatonetacobellguy

9 жыл бұрын

ATBPjako Since 0 can be defined as Nothing or None, 0 = 42 could mean "You have no life"

@julekmeister

9 жыл бұрын

If anything divided by 0 = 42 and 42 is the answer to the ultimate question, then anything divided by 0 (x\0) IS the ultimate question. That means that the answer to x\0 is the meaning of life and everything else. Come to think of it, lim x->0 = infinity (positive or negative) but never reaches 0 itself - it's composed of everything in the universe except for a point where there is nothing. Oh man, I don't know, if you catch my drift. I'll call it Caldoon-Adams-Julekmeister's Law of Relative Existence :)

@santerirautamaa9479

9 жыл бұрын

Even the number of likes on your post has been divided by zero

0^0=Spaghetti

@paein9642

8 жыл бұрын

Hm I thought it was banana

@protoxus8186

8 жыл бұрын

+Bearboy03 No, 0^Spaghetti is Banana. You were close, though. :)

@shekharmaela2308

8 жыл бұрын

+Naveek Darkroom 0^0 = 0

@shehabkhan637

8 жыл бұрын

+Marcus Johnson Lol - Unless you are having fun, 0 ^ 0 is not 0 :P it's.............................1

@shehabkhan637

8 жыл бұрын

+Marcus Johnson - You sound like a guy back in the 17th Century, "0 is nothing"??????????? Just...wow... I laughed quite a lot when i read that... You made my day XD

I always hated math and no one I know likes it, but it is nice to see people with a real passion and love for maths/numbers to make it more interesting

"it starts to fall apart when you go to the complex plain" perfectly sums up my brain at this point in the video.

For some reason, the way Matt writes his "x" is deeply unsettling to me.

@taunokekkonen5733

5 жыл бұрын

Shouldn't be allowed to work as a mathematician if you write x like he does LOL

@clarkeysam

5 жыл бұрын

How else would you do it? Like a normal written x?

@taunokekkonen5733

5 жыл бұрын

@@clarkeysam yes, you cross two lines like a respectable human being.

@GeodesicBruh

5 жыл бұрын

Tauno Kekkonen no, that x is anti calculus. You want a nice, curvy and sexy x.

@skylardeslypere9909

5 жыл бұрын

He writes it just like how you learn to write your x in cursive in second grade

Mathematician: "you can't divide by zero" Engineer: "Just watch me!!!"

@JoeLinux2000

5 жыл бұрын

That must be what Denny Pate, the designer of the FIU bridge did, and then the Boeing engineers that designed the 737MAX followed his lead.

@Rashidamin

4 жыл бұрын

Oh c'mon, it's usually the otherway round. Unlike mathematicians, engineers are too boarged down with deadlines and budget constraints that they hardly have any luxury to play with theories and concept. Otherwise the boss would show them the door 😅

2:10, thats one way of drawing an 'x'!

@isavenewspapers8890

Ай бұрын

Common in math, I've heard.

In my grade 12 history class I did a paper about the origins of zero and the teacher had to get a math teacher to grade it. I got a 90% because my writing is dry and transactional like an instruction manual and apparently that counts.

11:50 I see what you did there, NAUGHTy

@poggy9635

6 жыл бұрын

Freaky Fred :)))))

@thomasraahauge5231

6 жыл бұрын

Who said that mathematicians can't be naughty?

I divided by zero and my calculator transformed into Optimus Prime and rolled out

@bsm239

5 жыл бұрын

my calculator prints out the entirety of Romeo & Julie and then splits into several people and performs it.

@matrixarsmusicworkshop561

5 жыл бұрын

@@bsm239 XD

@iexplainjokestomakethemles1560

4 жыл бұрын

So lame

@eboone

4 жыл бұрын

Greetings Mortal So lame

As far as I know, X/0 has possibly 2 applications: Calculating the surface area of a sphere and calculating the density of a singularity.

CompSci here: there is a standard called IEEE which defines mathematics for computers it says that for any positive, non-zero 'x': x/0 = inf, -x/0 = -inf and that 0/0 = nan where inf is not a number, just a representation of infinity (and it also defines operations such as inf + x = inf and so on...) and nan is just 'not a number' I must add that this is just the standard most programming languages uses for mathematical operations, not how it works in actual mathematics computers have hardware limits where mathematics doesn't

If 1/0 equals infinity, the that means infinity times 0 equals 1, which is not possible.

@thanos486

7 жыл бұрын

0χ(+-infinity) is an undefined number so it can be 1 as well

@yoavco246

7 жыл бұрын

You can't just treat infinity as any other number. It is an idea, not a value you can do operations on.

@thanos486

7 жыл бұрын

I did not say that infinity is any number.I said 0x(infinity) is an undefined number so you dont know whether it is equal to 1 or not , therefore you can not say that 0x(infinity)=1 is an impossible equation, it is an undefined equation. And you can do operations on infinity. For example: (1/infinity)=0 and: (+infinity)(-infinity)=-infinity

@yoavco246

7 жыл бұрын

+Tomas Cena I was refering to the main comment :)

@folf

6 жыл бұрын

DrDerp42 This is a dangerous subject

1/0=Blue... i'm going to write that next time i write a calculator program..

In the early 70's the first electronic calculator I got was a Casio, and if you tried to divide any number by 0, it would display all 9's (don't remember how many) and start counting down from that huge number! Entertaining...

Matt: you can’t divide by 0 Little kid: *gasps* James: *draws two circles to mean infinity* Me: *gasps*

6:14 the answer for the calculator is defined by IEEE floating point standards and generally requires that software implement exception handling such that when the processors encounters a divide instruction with a zero operand it generates the divided-by-zero exception so the software can decide what to do.

But if you push too hard...even numbers got LIMITS

@LongNguyen-pv9sm

7 жыл бұрын

that because they set a limit in the first place, they set it to zero, if i don't set any limit, it would go forever

@anoukkadijk1656

7 жыл бұрын

Salvador Allende those limits are "errors" (paradoxes) in the system we made

@ryadachaibou8098

7 жыл бұрын

He's quoting a Mos Def song called Mathematics.

@brendanotoole5871

7 жыл бұрын

If you don't know, now you know...

@andrewmirror4611

6 жыл бұрын

What about odd numbers, they got limits too?

I laughed when you said -- when dealing with the different values towards which 1/x tends when you start with positive vs negative one -- that maybe the value wraps around the entire world, such that positive infinity connects to negative infinity, because that is exactly how my high-school teacher explained tangents.

A number divided by zero lacks an equation. The person asking "What does 5 ÷ 0 = ?" Is like him asking, "What does 5"? See? When zero follows the division symbol then no equation takes place. We've left the realm of mathematics and returned back to language. I'm surprised that I've never seen this explanation offered before. It is however the only one that explains the question. When we attempt to divide by 0 we're no longer dividing. Its like any attempt to divide with zero automatically erases the whole procedure.

@nikkiofthevalley

2 жыл бұрын

This is true for processors and the DIV instruction, when you try to divide by 0 there it fires an interrupt that basically means "Result is undefined". (It basically checks if there's a 0 anywhere in the 'equation', and if there is, it doesn't calculate anything) I'm not sure if that's true for all processors, but the ones I have experience with use the interrupt method.

@riluna3695

2 жыл бұрын

I find I don't understand what you're saying here, which concerns me as you say that it's the only phrasing that successfully answers the question. How is it that you're able to say that "divided by zero equals" is equivalent to saying nothing at all? If math has proven capable of making proper use out of numbers that don't even exist (square root of negative one, an imaginary number), then why does this simple utterance disappear when nothing else does?

I met this channel a while ago, when i was in highschool and used to watch every video. Now, as i'm graduating in mathematics i come back and rewatch the same videos, but now in a different perspective. Numberphile was one of the main reasons i decided to study math in college, despite all flaws.

I divided by 0 and my paper set on fire

@oerlikon20mm29

3 жыл бұрын

Yea, I tried it on my Samsung 8 and it exploded

@memebeans1589

3 жыл бұрын

BEANS

@Lord_Skeptic

2 жыл бұрын

No that is what 2 beans add 2 beans is

@Lord_Skeptic

2 жыл бұрын

That is actually some beans

@Lord_Skeptic

2 жыл бұрын

Or a really small casserole

That was beautifully explained.

An interesting thing r.e. this divide by 0, is how you can handle it on the HP 49 and 50 calculators. They have a flag for divide by zero; you can set it to either produce an error or to result in the largest number the calculator can handle.

Drawing X as two half circles? Classic Parker Square.

@Bignic2008

3 жыл бұрын

Lots of people do this. You pick up handwriting habits like this so you can more easily distinguish between symbols that look the same. x and the symbol for cross products, for example, look similar and will confuse people unless you draw the letter x as half circles.

@smockboy

3 жыл бұрын

This is a relatively common convention tbh. It was specifically adopted so that 'x' would be more readily distinguishable from the multiplication symbol in mathematical proofs and textbooks. A common alternative was to use * as the multiplication symbol, as most scientific calculators do.

@ineednochannelyoutube5384

2 жыл бұрын

That looks more like a khi

@reapinit8777

2 жыл бұрын

@@Bignic2008 thats actually pretty cool. Definetivly reasonable. 👍

@reapinit8777

2 жыл бұрын

@@smockboy makes sense and is smart 👍

I consider 0/0 to be a feature, not a bug. Simple Algebraic Rearrangement tells us: If Anything * 0 = 0, Then 0 / 0 = Anything. Intuitively, 0 / 0 represents the question "what number can you multiply by 0 to get 0", to which the answer is clearly "Anything".

@markkoehr5003

6 жыл бұрын

If 0/0=1 and 0/0=2 then 1=2 by the transitive property. If you allow that, the you can say that every number is equal to each other.

@MumboJ

6 жыл бұрын

The transitive property doesn't always work that way. √1 = 1 and √1 = -1, but 1 ≠ -1

@markkoehr5003

6 жыл бұрын

MumboJ the square root symbol like that that is a function. when you use the square root symbol like that you are taking the principle root which is always positive. You mean to right x^2=1 which has to possible solutions that make that statement true. If you want the negative value you have to put the negative sign in front.

@MumboJ

6 жыл бұрын

Which is exactly how 0/0 works. It is a rearrangement of 0x=0, to which anything is a solution. Function Symbols are often used to represent this concept, and the phrasing I used was not incorrect.

@awawpogi3036

6 жыл бұрын

MumboJ a square root of a number can be either positive or negative. Its because both positive squared and negative squared are positive. Example: √1=±1 √4=±2 √2≈±1.414

Matt: You cannot divide by zero! Ring with nonzero zero divisors: Hold my beer...

I love how old this video is in terms of how different Matt Parker is

From the software engineering perspective I'd say that I highly doubt that any commonly used calculator uses iterative process to get an answer for X/0. It's just a check in the code: if operation is division and second argument is 0 then print "Error". So, the first guess is much closer to reality

@leechbeen3283

4 жыл бұрын

Definitely more likely. Calculators only really do addition and subtraction so if you tried to divide by zero it would keep subtracting by zero an infinite amount of times, just like they demonstrated in the video. Its gotta be programmed to check for a non zero number to keep it from entering an infinite loop, that seems like the best solution

@Stettafire

2 жыл бұрын

This is how most applications work, most of the time its baked into the compiler (Roslyn)

@patrickvolk7031

2 жыл бұрын

It's normally an exception, stopping your execution. If you have a divide by zero in your equation and you don't stop, you're in la-la land. CPUs handle integer division (which give division by zero and overflow), languages have standard libraries for floating point. The standard is to have zero, NaN (Not a number), Inf, and -Inf as distinct results. Most calculators now have this as well (processors are very cheap). NaN is different than infinity. Infinity normally means it encountered a number which exceeded the maximum value (e.g. 300 factorial), and infinity times zero is zero. Any math operation using NaN gives you NaN as a result. You also can have exceptions for overflow/infinity, and there may be cases where you want to know when you underflow (if you have x and y, which are not zero, but you get zero because the number is too small.. that's not normally one you worry about). A difficult problem in programming is when you have a one-off problem, where it goes into la-la land, and takes a few steps before it dies. Math is one of those things.

@hareecionelson5875

Жыл бұрын

Unless someone forgets to tell the computer not to attempt the subtraction, in which case the computer may crash, which happened to an American warship, computers down for a day

@mdsharfuddinmd5710

Жыл бұрын

Happy New year sir

im surprised they didn't explode

Donald Knuth disagrees about 0° bring undefined. He talks about that in a very interesting article named "Two Notes on Notation". I recommend reading it, it has convinced me that 0°=1 is the best choice. I agree with him and I point out that arguments about limits have at least 3 problems. 1. An operation is nothing but a function and a function has no obligation to be continuous so the possible value of any limits with (x, y) going to (0,0) don't need to have any relation with the value of such operations at (0,0). 2. Operations, like any function, don't have the obligation of being continuous. Add to this the previous point. 3. Before you prove anything in mathematics you must first have clear definitions (or axioms) of everything you are dealing with. Do in order to prove anything (like limit values or inexistence of limits) about the cited operations you must FIRST define them entirely and that means also define their domains and values at any point, including possibly (0,0). So formally speaking you must decide about 0° (and all x^y values) BEFORE saying anything about limits involving x^y. That said, since 0 is a natural number, we should operations involving natural x and 0 in the context of natural numbers before passing to limits. And in the particular case of 0° there are many uses of the identity 0°=1 in discrete contexts and that makes many people decide for adopting it.

The intuitive way I think about division by zero not being infinity: treat division like the number of subtractions from a number to get to zero (like in the video). Keep in mind that there are infinite processes that give sensible answers, like Sum of 1/2^n from 0 to infinity equals 2. However, even if you take away zero from a number an infinite number of times you still wouldn't get to zero. Therefore, there can't be an answer to a number divided by zero. Similarly, 0/0 can be interpreted as any number for the same reason.

5:58 meme material

Dividing by zero is such a Parker Square move.

@M00nSlippers

6 жыл бұрын

lol, only numberphile fans will get this.

Thanks !Happy new year!

Matt, the mad, lad using the whole word ‘anything’ as a variable name @6:55

"You can't treat infinity like a number" - the history of physics would disagree hahahaha

@Sparton646real

8 жыл бұрын

+Felipe Montealegre Bwahahahahahahahaha

@that_one_momo_guy

8 жыл бұрын

Ricky Bobby I mean, I get your point. But no matter how much we elaborate about it, we still had to deal with renormalization/regularisation in pretty sloppy ways for many years, and that's just an example. We also dealt with infinitesimals in a way in which it was not clear that they were even defined for many decades. Actually, an axiomatic description of many of todays QFTs is not known. So yeah, we basically handle infinity as a number until things go wrong and then go back and see why things went wrong. So the history of physics would still disagree with you :D

@thofiktufel8712

8 жыл бұрын

If we subtract 20 infinity times then the answer wont be zero so we also cant say infinity according to me ,if we divide zero with a number,the answer is nothing because if we subtract we wont get zero and in case 0/0 ,if we subtract it by any nomber the a.swer is already zero so it has set of infinity answers That means 0/0=all numbers¿¿

@TomYale

8 жыл бұрын

How? Physics investigates phenomena in the physical world and nothing in the physical world ever approaches an infinite quantity.

@that_one_momo_guy

8 жыл бұрын

TomYale Physics builds mathematical models of the physical world, which don't necessarily perfectly describe it, only approximately. So infinities are commonplace in physics, they just mean "very very big, according to the scale of your model". Or sometimes they mean "you included terms in your sum that are not well described by your model", or it can have many other meanings aswell!

That is the craziest way to write "x"

A long time ago Mr. Talbot, my maths teacher, said that we can't accept dividing by zero because if we do we can 'prove' false things. I can't remember exactly how he did it but he proved that 1 = 0. He then said that if you can 'prove' one false thing you can 'prove' any thing that is in fact false. A quick google found this; x and y are 2 non-zero numbers where x=y. So x^2 = xy. Subtract y^2 from both sides, X^2 - y^2 = xy - y^2. Divide both sides by x-y we get x + y = y which is clearly false. Dividing by x-y when x=y is dividing by zero. which is why this goes wrong.

To divide by two is to take the number and put equal parts in 2 boxes. To divide by 3 and 4 and more is to take the number and place it into that number of boxes. To divide by 1 is to put the number into one box. To divide by zero is to have no box.