e (Euler's Number) - Numberphile 

no he didn't

@@terrariaman8454 wooosh

Terraria Man r/woooosh

@@tipstyx1867 r/ihavereddit

You fool. The man made the oldest shitpost

e's decimal expansion is random, so the likelyhood of finding a four integer sequence in it that coincides with the year of the attack by the Spanish Armada is equal to 1.

@@hammerth1421 WRONG There's no proof of e being a normal number So, unless you prove that or find the year itself, you can't say that

@@chanderule605 Even though e is not a normal number, it's digits are still random. While you can't find any sequence of any length in it, you are pretty much guaranteed to find every four digit sequence, also the year of the Spanish Armada.

@@hammerth1421 There's no proof of that other than "it's kinda likely" And I dont think it's proven to be random either

HammerTh its digits are not random. Now I'll have to wait and see if you reply with what I expect you'll reply with.

The football team at one of my hometown high schools was the “Oilers.”

I have a tattoo of Euler’s identity and just now found out it’s pronounced “Oy-ler”

the edmonton hockey team is called the oilers (don't even ask me about hockey alr)

Germans: You dare challenge us mortals

@@PMT17 fax

they had ONE job

absolute M A D L A D

+HalcyonSerenade Kinda reminds me of that scene in Monty Python And The Holy Grail, where King Arthur got annoyed by a scene and then ran in front of the camera and screamed "Cut that out! Cut that out!".

r/madlads

Savage

No one cares

Sari Masu yea haha I look in subscriptions and was uploaded 3 second ago :D

e

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Liwo Jima you forgot a couple digits

Wow

What about e^e?

Today on February 71st,1828, 1:82 e'clock

01/01/2020 15:45pm.

@@HenryTheTodd hahahahahah

"Everybody knows this anyway. If you don't, now you do."

not knowing the values of it to a few decimal points is crazy anyway😭 or just using a calculator but i presume it was a non calculator paper

Main Theme - e

Main Theme - e

YTSunny Main Theme - e

Main Theme - e

Main Theme - e

xD

Zahlenteufel1 I mean, maybe in sarcasm...

That was hillarious, I'm dying lol

Republican$ and Democrat$ in Congress say that all-the-time...

No, _everyone_ said this... in a sarcastic manner.

yea

5:50 Do you add 1 to the denominator and then divide by 2 or do you add 1+1/2? I'm confused to as to how the sequence of the operations is with such a fraction. Can anyone help me?

@@EbonyPope It's an infitie fraction so there is no end. It's more like the 2nd option you have. You would basically say when you want to stop writing down the fractions and then solve for it going backwards from down up.

What?

I don't get it

Lol

@@sticks9757 e , π and i(√-1 if you don't know) are the most iconic constants (except i) in Math. So in this equation they powered e to the power of π multiplied by i and added them with 1 which is equal to 0 (bizzare actually. How e, π and i are really complex numbers in math somehow combine into making a simple number which is -1) So in summary all the iconic constants(except i) in 1 equation.

@@78anurag That's literally not what I asked

Nice

I tried to eyeball what the y=1/x -like function might be, and the closest I can seem to get is y=((e-1)^2)/(x-1) + 1. It matches the asymptotic behavior of x^y = y^x and passes through (e,e), but it doesn't perfectly match. The true function has something to do with the fact that ln(x)/x has two different x values that give the same y value for any positive y less than about 0.368, but for the life of me I can't figure it out.

@@adamkotter6174similarly the graphs a^x and loga(x) intersect at coordinates (e,e) when a = e^1/e not really sure why that is but it’s neat.

@@adamkotter6174 that "about 0.368" number is actually 1/e. I don't know why though.

@@davidiv4915 it's pretty satisfying if you sub in x=e to both equations. a^x = (e^(1/e))^e = e^(e^e) = e^1 = e loga(x) = log(e^(1/e))(e) = e (because of the line above)

uh huh

GHOST AND PALS FAN?! Rare find!!

yep@@Alexizhereee

@@Xavier13epic Eyyy bro whats ur fav ghost song lemmie guess distortionist. Frl frl.

yes, ong no cap fr fr no joke@@Alexizhereee

If they stop making math videos they would stop making videos, the channel is numberphile

BA in Maths I presume.

eeeeeeeeeeeeeeeeeeeeeeeeeeeeee

@@granvillebarraclough8846 Why though? because at day 1 MA he'd be bound to be sick of it already or have moved on to another area of studies altogether? hehehe :D Sorry, I had to reply, even 2 years late :P I love the videos as well, gotta say.

VSeve I know right, they didn't even put the thumbnail in the video. Fockin clickbaiters😂😂😂

VSeve they need more arrows and circles

How is it clickbait? The video is about... e.

Andrew anon its an ironic comment

ApplicationBot Technically, since he obviously knew what he was talking about, it wasn't ironic, it was just a joke.

Your story is interesting

Is not it such a treat? It is analogous to discovering classical music later on in life, when you were once exposed to it as a child, but strayed from it to listen to contemporary music in the interim.

The complete Euler formula tho for every angle, not just the Euler identity everyone knows

You can thank Laplace and Fourier for that too!

It’s also used in Controls engineering, and vibrations

Also useful in digital signal processing.

It's also used in computer science for writing various algorithms and making them efficient wrt complexity

I can relate... I was 13 when I watched it... Now I'm 16 and I understand this lol. This is what I study loool

One might say you had continuous interest

@@MrInsideEye Underrated comment.

You said the same thing on the Cardano's formula video

I’ve recommended Numberphile to various young students having trouble with maths. It is an excellent motivator for cultivating an interest in maths.

It also happens to be a complex number.

Thomas Eding um, no it isnt.

Complex numbers encompass the reals. It is complex with imaginary part = 0.

Thomas Eding e is totally on the complex plane.

All real numbers are in the set of complex numbers. If that seems odd, just consider also that all integers are in the set of reals...etc.

2.7182818284/2.7182818284

i r8 e/e

e/π

A solid 5/7.

And is the most tatooed formula among maths nerds.

Yet it works only because of some semi arbitrary definitions, such as the extension of powers of e along the imaginary axis.

@Clumsy Jester Exactly 👌🏻🎯😌.

EEEEEEEEEEEEEEEE EEEEEEEEEEEEEEEE EEEEEE EEEEEE EEEEEEEEEEEEEEEE EEEEEEEEEEEEEEEE EEEEEE EEEEEE EEEEEEEEEEEEEEE EEEEEEEEEEEEEEE

. eeeeeee eeeeeeeeeee eeee eeeee eeeeeeeeeeeeeee eeee eeee eeee eeeee eeee eeeeeeeee

E and e is not the same

domjanabi yeah, one is capital, the other is lowercase

EEEEEEEEEEEEEEEEEEEEEEE EEEEEEEEEEEEEEEEEEEEEEE EEEEE EEEEE EEEEE EEEEE EEEEEEEEEEEEEEEEEEEEEEE EEEEEEEEEEEEEEEEEEEEEEE EEEEE EEEEE EEEEE EEEEE EEEEEEEEEEEEEEEEEEEEEEE EEEEEEEEEEEEEEEEEEEEEEE EEEEEEEEEEEEEEEEEEEEEEE EEEEEEEEEEEEEEEEEEEEEEE EEEEE EEEEE EEEEE EEEEE EEEEEEEEEEEEEEEEEEEEEEE EEEEEEEEEEEEEEEEEEEEEEE EEEEE EEEEE EEEEE EEERE EEEEEEEEEEEEEEEEEEEEEEE EEEEEEEEEEEEEEEEEEEEEEE VVV VVV VVV VVV VVV VVV VVV VVVVVV

Heckk yea

Owen Lewis you mean Lord MARKquad

Markiplier wants to know your location.

uhh...

Lord Farquad *E*

I can switch this between 2k likes and 2.1k likes imao

He's having a break now. Stay tuned for the next iteration of the Universe.

Does he even lift bro

He skipped everything but head day ... wait, that sounded kind of dirty!

@@Raptorman0909 It did didn't it?

@@Raptorman0909Calling it brain day would work

John Thimakis no vsauce holds that title with no title

John Thimakis yet it doesn't terminate

there's a vsauce3 video with an infinity symbol as the title... so no, not quite

e

John Thimakis Vsauce also has a video with no title, its about nothingness

+picknikbasket ;)

A U.S. dime, as well :)

?H$lllllaaA

clik bait title

badman jones how tf is 'e' clickbait?

Prediator X makes ya curious. "what the heck? its just an e?? gotta look at this" not enough to classify as clickbait though!

Merlin Brennt But this is a mathematical channel. As soon as I saw the title, I knew that they were going to do something with Euler's constant. :) But I suppose the logarithmic graph and James Grime on the thumbnail helped too :)

Victor Tran oh you must be very smart!

What about 27 January?

Woowowowowowowowowowowowowowowowowowoeowowowow

I late. Waiting for 27/18/28

The next is 2718-2-8

Oh my gosh... there can only be one e day a century🤤

309 likes and still no answers

e

Nice mix.

And here we are, the letter e used to be a running jokes on siIva’s rips and now a lord farquaad meme. So siIva is now a normie meme?

*TASTE E*

Watch ted ed

It isn't nerdy.

lol that's actually true xD

says person with a pony icon

Yeah but that function is boring and useless :(

Is this for e^x? Or all functions? Both don't work because n^x=0 is undefined except for n=0, and there are plenty of functions where the gradient at y=0 is not 0? or am I misinterpreting the idea? Haha

OriginalPiMan Nevermind, just got it. "f(x)->0". Mind you, this is kinda cheating seeing as the x value has no effect on the gradient anyway ;)

Euler wouldnt be that much of a misleader when it comes to promoting his work, he actually had brains unlike most youtube slaves today.

DatK9 E prank (RU-vid 2016) (GONE WRONG) (GONE SEXUAL) (ALMOST DIED) (COPS CALLED) (HOW MUCH MONEY DO I MAKE FROM YOUTUB?!)

great job!

What about this Y^D=Y So tell me What numbers the letters are ok

e shows up in very interesting places. x^y=y^x is an unusual graph that shows 2 lines, one linear and one curved, intersecting at the point (e,e). the graph of x^x also contains some e-related information; the minimum value for f(x) is at x=e^-1, or decimal 0.3678... so the lowest point in the graph of x^x is (e^-1,(e^-1)^e^-1)) or (0.3678,0.6922). It all has to do with exponential and logarithmic growth.

Nice work bro, I like these types of persons

Just use (1 + 1/x)^x like normal people... Ok it's a joke, don't get offended

we will never know because there can never be recorded evidence, because that would mean putting it in the video

badman jones Perhaps memoirs would recollect how a courteous editor obeyed the request?

Pablo Griswold you could put it in a separate video and thus you wouldn't be putting it in the video the person's telling you not to put it in

Why don't you ask Schrodinger?

Revan Sith'ari ahah imagine like a whole "dont put that in the video" compilation

We can not know how many times they actually say that, and it is actually not in the video. So you can't say if it is really typical.

Koen Looijmans ಠ_ಠ

I gave you 200

Jay Chan isn't the gradient of X=0 infinity?

f(x) = 0 is not synonymous with x=0, but y=0. At any point on the function, the output (y) is equal to 0, the slope is 0, and the area under the curve is 0.

I knew i wasn't alone😂

MOOSEWHISKER so does 2 * e^x :O

That's true of all functrions on the form f(x) = ke^x, where k is a constant. Your is a special case where k = 0

Chrischo1997 finally someone who knows what there on about

That's trivial

+marche45 Here's how I think about your comment. Zero could be considered a trivial multi-variable function, with a well-defined gradient. That gradient is zero. If you say, "0 does not have a gradient", doesn't that mean you're implicitly saying that 'having the value zero' is the same thing as 'not having a value'? Little bit pedantic, but that's the spirit of this thread anyway.

Which of those expressions would be easier to evaluate? I suppose I could plug in some dummy values and figure out myself but im lazy. Personally I think the latter expression but I like how the first expression is more compact.

StupidNedFlander that's what those '...' mean.

I wanted to like this comment but didn't because it has 42 likes.

Ostebrix s and so what, 0.42.. is log5?? no I dont know what is 0.42

StupidNedFlander It's called rounding

two numbers being irrational doesnt guarantee that their sum will be irrational too. You may be correct in this specific case but your explanation isn't correct

Numberphile could you make a video explaining aleph-nul! (Factorial)

As a recently graduated actuarial science major, this video is speaking my language :D. Great stuff, love the content.

Numberphile f 💀

Hooray! New Numberphile! Dr. Grimes is my favorite Numberphile personality. I love the way he pronounces "tortoise."

Random User If only he wasn't so happy. I'm sorry but it makes me feel depressed. Sorry

xrisku yet with inflation that changes

It's still calculated p.a.

Many banks simply hold the partial payment until the complete monthly payment is received.

I don't think a bank gives you any credit for paying multiple times within the month.

Makoren Why does your pic look so familiar

Essem because it's the same pic as in Ur identity card.

Why?

Pythagoreans hated irrational numbers

😂...

@@mace1230 . So does Professor Wildberger.

He seemed high in this video, like he'd just done an e.

*****​ That's pretty neat! I'm a physics student btw

And there's a reason for that too?

A great mathematical reason of course ;) Might there also be a relation like pi^i*e perhaps?

I wish I had such beautiful dreams... But e and pi are some weird numbers indeed. And the fact that they are related in so many ways is even stranger!

i e pi (Weebl and Bob)