Welcome to Laser Pointer Forums - discuss green laser pointers, blue laser pointers, and all types of lasers

LPF Donation via Stripe | LPF Donation - Other Methods

Links below open in new window

ArcticMyst Security by Avery

Eulers Formula

Xplorer877

Xplorer877

0
Joined
Oct 24, 2008
Messages
1,057
Points
48
I'm a math major and this blows my mind every time I think about it. It links five of the most fundemantal constants together. Rational integers, fundamental transcendental constants, and the imaginary constant all in one formula.

Amazing!!! :p

I'm a nerd
 

Attachments

  • euler.gif
    euler.gif
    2.1 KB · Views: 608





diachi

diachi

0
Joined
Feb 22, 2008
Messages
9,700
Points
113
Xplorer877 said:
I'm a math major and this blows my mind every time I think about it. It links five of the most fundemantal constants together. Rational integers, fundamental transcendental constants, and the imaginary constant all in one formula.

Amazing!!! :p

I'm a nerd
Click to expand...


That confuses one of my friends too, he's doing advanced higher maths :) I'll be doing that stuff in 2 years hopefully !

-Adam
 
Switch

Switch

0
Joined
Dec 9, 2007
Messages
3,327
Points
0
So I'm just gonna say what everybody probably thinks when he sees that: e[sup]i[ch960][/sup]=-1 ;D
 
N

nikokapo

1
Joined
Dec 26, 2007
Messages
6,129
Points
0
VillageIdiot said:
Holy shat.
Click to expand...

when you see longcat, brix will be shat.

sillycats-long-cat-comparision-chart-funny-cat.jpg
 
LRMNmeyer

LRMNmeyer

0
Joined
Jul 25, 2008
Messages
504
Points
0
So this is so cool because e to the i*pi power=-1, with pi and e (don't know what "i" is >.<) being infinite, non repeating decimals, right? Sorry if this is really ignorent, I don't know too much about math. (7th grade education sucks >.< even if you're in the advanced classes and other stuff.)
 
VillageIdiot

VillageIdiot

0
Joined
Mar 14, 2008
Messages
1,402
Points
0
I showed this to my dad. He did Extension 4 Maths in high school, and was an engineer for ten years. His response was 'wtf omg'
 
pullbangdead

pullbangdead

0
Joined
Aug 25, 2007
Messages
2,007
Points
63
^Except for some people, like electrical engineers, the imaginary number -1^(1/2) is j.  I mean, I understand why they do that wiht electrical current being represented by i already, but still, WHY DO THEY DO THAT?!?? Ugh.

--------------------------------------------------

You get into some crazy variable assignments when you get into advanced topics.  The more advanced you get, the more letters you need, and there just aren't enough.  With the classes I have now, we literally have used most of all of the following letters: lower case english, script lower case english, upper case english, script uppercase english, lowercase greek, and uppercase greek.  You know how hard it is to tell the difference between a lowercase greek "eta" and a lowercase script english letter "n" in my handwriting?  And keeping a single formula going in a derivation which includes multiple cases of each of uppercase greek sigma, uppercase english E, and uppercase script english E.  Not to mention variables can all have subscripts, superscripts, bars on top, tildas on top (this---> ~), or multiple of those.  Just reading notes makes my head hurt these days.

I've had a class previously where one of our main formulas we had to remember how to use and expand multiple ways was literally x[sup]x[/sup] = X.  All of them being the letter x: one lowercase, one lowercase script, and one uppercase, and all meaning VERY different things.
 
Switch

Switch

0
Joined
Dec 9, 2007
Messages
3,327
Points
0
OMG we just got to Taylor's formula.And Taylor and MacLaurin's series for functions with up to 2 variables. I think Euler's formula will be mentioned. ;D
 
Crossfire

Crossfire

0
Joined
May 22, 2007
Messages
351
Points
0
Xplorer877 said:
I'm a math major and this blows my mind every time I think about it. It links five of the most fundemantal constants together. Rational integers, fundamental transcendental constants, and the imaginary constant all in one formula.

Amazing!!! :p

I'm a nerd
Click to expand...

Euler's formula == mathematical awesomeness

I remember this from Calc 2 a looong time ago.
 
FrothyChimp

FrothyChimp

0
Joined
Sep 22, 2007
Messages
977
Points
0
I've always been a fan of e. Take the derivative of e and what do you get? e The proof is elegant. e is one of those absolutely fundamental numbers that finds it's way into everything. The world would be a different place without it.
 
chopper

chopper

0
Joined
Sep 21, 2008
Messages
119
Points
18
A trick I've had to use a few times in college involves the derivative of e and the geometric series.  After studying the geometric series we know it's sum.  You can find a sum of a geometric series with R^n=e^-(a*n*x).  You can also find the sum of the series n*e^(-a*n*x).
This only works with geometric series of e.
 

Attachments

  • sum_of_derivative_of_geo_series_001.gif
    sum_of_derivative_of_geo_series_001.gif
    7.4 KB · Views: 8,389
N

nikokapo

1
Joined
Dec 26, 2007
Messages
6,129
Points
0
pullbangdead said:
^Except for some people, like electrical engineers, the imaginary number -1^(1/2) is j.  I mean, I understand why they do that wiht electrical current being represented by i already, but still, WHY DO THEY DO THAT?!??  Ugh.

--------------------------------------------------

You get into some crazy variable assignments when you get into advanced topics.  The more advanced you get, the more letters you need, and there just aren't enough.  With the classes I have now, we literally have used most of all of the following letters: lower case english, script lower case english, upper case english, script uppercase english, lowercase greek, and uppercase greek.  You know how hard it is to tell the difference between a lowercase greek "eta" and a lowercase script english letter "n" in my handwriting?  And keeping a single formula going in a derivation which includes multiple cases of each of uppercase greek sigma, uppercase english E, and uppercase script english E.  Not to mention variables can all have subscripts, superscripts, bars on top, tildas on top (this---> ~), or multiple of those.  Just reading notes makes my head hurt these days.

I've had a class previously where one of our main formulas we had to remember how to use and expand multiple ways was literally x[sup]x[/sup] = X.  All of them being the letter x: one lowercase, one lowercase script, and one uppercase, and all meaning VERY different things.
Click to expand...

Dude, -1^1/2 is the same as sqrt (-1)

the thing is that when working with electronics you call it 'j' because you call 'i' the current intensity and it could create confusion.



i've never seen that formula, not even in college....i went past thru taylor, maclaurin, series, etc... but never seen euler =(
 
rocketparrotlet

rocketparrotlet

0
Joined
Aug 17, 2008
Messages
1,368
Points
0
That's a pretty cool formula. We're nowhere near that yet. (Then again, I am only in Precalculus...)

-Mark
 
You must log in or register to reply here.




Top