cool song, but i think, the 1. proof shoul be reversed because first there was "sin" and "cos" taylor serie and than subsequently Euler found out his identity
I like it how you have all put in the effort to make the graph of total views over time (click next to the number of views to see it) look something like an exponential curve. That's awesome. Thanks!
Great song. But it would be even better and more matching if you would have made the song i the key of e-major or e-minor, and sing the decimals of e as a melody, for example in e-major: f#, d#, e, e, f# etc. :)
The most general statement possible regarding the transcendence of e
Lindemann-Weierstrass Theorem (proof runs about 5 or 6 pages in Algebra I by Jacobson)
a finite number of exponentials of algebraic numbers, which are not 0 or 1, are algebraic independent over the rationals if and only if the algebraic numbers are linearly independent over rationals. Something like that. I'm too lazy to look it up, even though the book is sitting on a shelf 2 feet from me at this time.
The error about the exponent I think has already been said to you. I love the song and indeed the music and at the end I would say "2.7183 to 5 sig. figureeees...." to show the approximating.
On a special note, when you're writing out the general form of a polynomial differential equation with roots involving i (sprt(-1)), you can (via euler's formula) reduce the equation to e^(alpha * x) (C1 * Cos( beta * x) + C2 * sin (beta * x)) where alpha is the real number calculated and beta is the variable multiplied by i. For instance the roots of x^2 + 1 is 0 +/- i. 0 in that case would be alpha, and 1 would be beta (1 being the multiplier of i in this case).
"I have discovered a truly marvelous proof that demonstrates that e is a normal number for all bases. However, this video is too short to contain it."
Hell, now we are going to spend another 358 years to do a proof...
euler number > all numbers. btw the song lack the explanation that e emerged as the number of the base of natural logarythm which is the integral of 1/x. being tought of the number of the inverse function of natural logarythmg when x = 1
Two point seven one eight two eight one eight three is approximately the value of the constant "e". The sum for n ranging from nought to infinity, of 1 on n factorial is e. With compound interest, the more frequently the compounding's performed you'll watch your balance grow to e. As the number of periods approaches infinity the limit of (one plus (one on n)) all to the n is e. Two point seven one eight two eight one eight three is approximately the value of the constant "e". It's one of five
Two point seven one eight two eight one eight three is approximately the value of the constant "e". The sum for n ranging from nought to infinity, of 1 on n factorial is e. With compound interest, the more frequently the compounding's performed you'll watch your balance grow to e. As the number of periods approaches infinity the limit of (one plus (one on n)) all to the n is e. Two point seven one eight two eight one eight three is approximately the value of the constant "e". It's one...
I used to be a mathematician like you, but then i took e to the x...
lluvank 4 days ago
don't uderstand
Mrchibirobin 1 week ago
this should looop
Kevin123Kevber 1 week ago in playlist e
i tried 3,14 / 0 on my computer calculator, it crashed...
Kevin123Kevber 1 week ago
Pi is Chuck Norris's phone number. But e is The Stig's phone number.
insaniac747 4 days ago in playlist Liked videos
cool song, but i think, the 1. proof shoul be reversed because first there was "sin" and "cos" taylor serie and than subsequently Euler found out his identity
MrZajoxxx 1 week ago
I like it how you have all put in the effort to make the graph of total views over time (click next to the number of views to see it) look something like an exponential curve. That's awesome. Thanks!
danielwedge 2 weeks ago 4
Great song. But it would be even better and more matching if you would have made the song i the key of e-major or e-minor, and sing the decimals of e as a melody, for example in e-major: f#, d#, e, e, f# etc. :)
Tobbe999999999999999 2 weeks ago
@Tobbe999999999999999 I know :((( I guess this should have been the speed of light song instead.
danielwedge 2 weeks ago
at 0:33 i tested:
(1+r/n)^n=e^r
my numbers i used:
(1+2/3)^3=4,62963
but e^2=7,389056
97liroy 3 weeks ago
@97liroy of course. but the expression [(1+2/n)^n = e^2] is valid as [n->oo]
lluvank 2 weeks ago
i love math
YUSOpoop456 3 weeks ago
lol my professor thought i was cheating cause i sung this under my breathe during his exam
hippietwinkie 3 weeks ago
e + Pi = eπc ! :D
3komma1415926535897 3 weeks ago
This has been flagged as spam show
The most general statement possible regarding the transcendence of e
Lindemann-Weierstrass Theorem (proof runs about 5 or 6 pages in Algebra I by Jacobson)
a finite number of exponentials of algebraic numbers, which are not 0 or 1, are algebraic independent over the rationals if and only if the algebraic numbers are linearly independent over rationals. Something like that. I'm too lazy to look it up, even though the book is sitting on a shelf 2 feet from me at this time.
mphello 3 weeks ago
uhhhhh,,,, F*ck Math :|
Monti3395 1 month ago
How can you do the TeX stuff?
forallpurposesonly 1 month ago
@forallpurposesonly It was all just normal TeX output that I cut together and rotated/zoomed etc using Avisynth :)
danielwedge 2 weeks ago
lyric, plese :D i wanna sing this <3
mdebowskamo 1 month ago
The error about the exponent I think has already been said to you. I love the song and indeed the music and at the end I would say "2.7183 to 5 sig. figureeees...." to show the approximating.
^ __ ^
SuperStudying 1 month ago
give me the lyric please.,.,.!!!! im standing in awe watching this.,.!!!!!
sinakpapua 1 month ago
Comment removed
MathPhysChemSkyNerd 2 months ago
FABULOUS!
MathPhysChemSkyNerd 2 months ago
e is not a number i asked my math teacher.
Cheetows78 2 months ago
@Cheetows78 e is a constant it was sung very clearly in the song
Ipen77cp 2 months ago
@Cheetows78 e is a number. if your maths teacher said it isn't, not only is he wrong but he's a complete twat too. tell him i said that.
Moneymuch13 2 months ago
@Cheetows78 please, I asked my english teacher!
funofsk8ing 2 months ago
@funofsk8ing sorry my friend has a password to my account and he said that
Cheetows78 2 months ago
@Cheetows78
they probably didnt want to explain it.
ben1996123 2 months ago
whoevever wrote this song is a freaking genius
bsn913 2 months ago in playlist Liked videos
The way it works is so beautiful it make me cry tears of joy. :,)
MathPhysChemSkyNerd 2 months ago
MATH GIVES ME A HARDON.
MathPhysChemSkyNerd 2 months ago
einstein couldnt understand this
bsn913 2 months ago
@bsn913 its rather simple you see...ok not really
elflordbob1 2 months ago in playlist Favorite videos
@elflordbob1 math goves me an rb (random boner)
bsn913 2 months ago in playlist Liked videos
@bsn913 where did u get rb? because i made that up
bsn913 2 months ago
@bsn913
...me to
its kinda embaressing when im in math class but luckly i sit next to a hot chick so i can say its her fault
elflordbob1 2 months ago
i love this number
bsn913 2 months ago
1:04 finely someone who pronounces it like me.
laputahayom 3 months ago
@laputahayom yay! how do others pronounce it? "you-ler"?
danielwedge 2 months ago
@danielwedge oyy-ler
Withless92 1 month ago
0:56
arand plane
i think thats how its spelt anyway
elflordbob1 3 months ago in playlist Favorite videos
Pi is better.
Fishmr1 3 months ago
@Fishmr1
YOU ARE WRONG
ben1996123 3 months ago
idk but i keep wanting to watch this...
i have a to take the barbra nunn test wedsday(math competition) but this song is so damn edicting
elflordbob1 3 months ago
@elflordbob1 what state is that in
bsn913 2 months ago
@bsn913
Florida
algebra 2/geomtry is the barbra nunn
algebra 1 is the hiller
precal/cal/mixed varibales/trig Dostal
elflordbob1 2 months ago
On a special note, when you're writing out the general form of a polynomial differential equation with roots involving i (sprt(-1)), you can (via euler's formula) reduce the equation to e^(alpha * x) (C1 * Cos( beta * x) + C2 * sin (beta * x)) where alpha is the real number calculated and beta is the variable multiplied by i. For instance the roots of x^2 + 1 is 0 +/- i. 0 in that case would be alpha, and 1 would be beta (1 being the multiplier of i in this case).
Civix1320 3 months ago
@Civix1320 that is amazing but stupid
bsn913 2 months ago
Great now all I need to do is upload this to my ephod/ipod and listen to it on loop as I sleep each night for 28 days.
AndrewRaimonSavage 4 months ago
Sounds like School House Rock....
MrPipeBomb11 4 months ago
@MrPipeBomb11 totally
Daddyosaccount 4 months ago
e = 2.7182818284590452353602874713526624977572470936999595749669676277240766303535 47594571382178525166427427466391932003059921817413596629043572900334295260595630 73813232862794349076323382988075319525101901157383418793070215408914993488416750 92447614606680822648001684774118537423454424371075390777449920695517027618386062 61331384583000752044933826560297606737113200709328709127443747047230696977209310 14169283681902551510865746377211125238978442505695369677078544996996794686445490
mrbubbles551 4 months ago 12
@mrbubbles551 how do you know my password on my computer?
Kevin123Kevber 1 week ago in playlist e
i bet u to
kurstinreaves33 4 months ago
i bet u that my teacher could not understand that
kurstinreaves33 4 months ago
that was stupied who does that
kurstinreaves33 4 months ago
you are such a loser
bsn913 2 months ago
"I have discovered a truly marvelous proof that demonstrates that e is a normal number for all bases. However, this video is too short to contain it."
Hell, now we are going to spend another 358 years to do a proof...
ElectroMagneticWeak 5 months ago 3
"I have discovered a truly marvellous proof..." which, no doubt, is too long to fit into this video :)
mittfh 5 months ago
God bless autism, this was as easy as pi (pun) to absorb.
MrSkeleton16 5 months ago
this is my favourite song
ben1996123 5 months ago
@ben1996123 I love it how ben says favourite. lolben
CubesOfTheWorld 5 months ago
@CubesOfTheWorld
colour hayche zed favourite centre flavour rumour theatre litre paralyse defence licence analogue dialogue fibre organize recognize aluminium metre grey
lol.
ben1996123 5 months ago
Comment removed
ben1996123 5 months ago
Reasons why e is better than pi
pi ~= 3.14 while e ~=2.718281828459045.
The character for e can be found on a keyboard, but pi sure can't.
Everybody fights for their piece of the pie.
ln(pi^1) is a really nasty number, but ln(e^1) = 1.
e is used in calculus while pi is used in baby geometry.
e stands for Euler's Number, pi doesn't stand for squat.
You don't need to know Greek to be able to use e.
You can't confuse e with a food product.
seeheers 5 months ago 3
@seeheers i like it
bsn913 2 months ago
i = sqrt(-1)?
coong7777 6 months ago
Comment removed
coong7777 6 months ago
e^(i*pi) + 1 not equal 0?
coong7777 6 months ago
a way of remembering e:
1. remember 2.7
2. remember andrew jackson was elected in 1828
3. remember andrew jackson was elected twice
4. remember your 45-90-45 triangle
Voila, you have e= 2.718281828459045 memorized :)
soterios11 6 months ago 10
2.71828183 < e?
coong7777 6 months ago
euler number > all numbers. btw the song lack the explanation that e emerged as the number of the base of natural logarythm which is the integral of 1/x. being tought of the number of the inverse function of natural logarythmg when x = 1
conectado2 11 months ago
"Also, I have discovered a truly marvelous proof that demonstrates that e is a normal number for all bases"
NO YOU HAVEN'T!!!
anticorncob6 11 months ago
This has been flagged as spam show
Sallygwizz37 11 months ago
Sallygwizz37 11 months ago
omg. i can see my teacher dancing to this song..
kotnikd3 1 year ago 46
at 1.21 it says x²/7! shouldn't that be x^7/7! ?
(on the right side 4th line)
uut0 1 year ago 16
@uut0 correct :( well spotted! (exclamation mark, not factorial.)
danielwedge 1 year ago 17
@danielwedge hehe
uut0 1 year ago
@danielwedge exclamation mark is factorial
squillyify 4 months ago
@danielwedge
(w*v*u*t*s*r...ect)*(e*d*c*b*a)*(l*k*j*i*h*g*...ect)^2
wait i was only spopsed to do that to spotted...i hat myself
lol jk
elflordbob1 3 months ago
@uut0 i like it
bsn913 2 months ago in playlist Liked videos
@uut0 you... you actually went through to check the equation? dear lord...
funofsk8ing 2 months ago
@funofsk8ing I wanted to know what it said and couldn't not notice that 2, sorry for that
uut0 2 months ago
now do i
MrSeanMDickinson 1 year ago
Cool.
Can someone supply a proof that (1+1/n)^n as n approaches infinity is the same as 1 + 1 + 1/2! + 1/3!..., other than the fact that they both equal e?
anticorncob6 1 year ago
Nice video. Euler's formula - one of the most elegant math equation ever.
KH2083 1 year ago
Most underrated mathematical constant.
MrCalhoun 1 year ago 57
@MrCalhoun underrated? it is used almost everywhere, how could you call it underrated?
Horrrrrrrrst 2 months ago