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11162008, 10:23 AM  #1  
 
Class 3R Laser Join Date: Oct 2008 Location: So. Cal.
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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
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11162008, 10:43 AM  #2  
 
Class 4 Laser  Quote:
That confuses one of my friends too, he's doing advanced higher maths I'll be doing that stuff in 2 years hopefully ! Adam
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11162008, 11:34 AM  #3  
 
Class 3B Laser Join Date: Dec 2007
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So I'm just gonna say what everybody probably thinks when he sees that: e[sup]i[ch960][/sup]=1 ;D
 
11182008, 12:06 PM  #4  
 
Banned Join Date: Mar 2008
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Holy shat.
 
11192008, 03:25 AM  #5  
 
Cereal Eater  Quote:
 
11192008, 03:35 AM  #6  
 
Class 2M Laser Join Date: Jul 2008 Location: Central Minnesota
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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.)
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11192008, 05:54 AM  #7  
 
Banned Join Date: Mar 2008
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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'
 
11192008, 05:56 AM  #8  
 
Class 2M Laser Join Date: Sep 2007
Posts: 977
Rep Power: 81  i represents imaginary numbers. Take sqrt (1).
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11192008, 08:14 AM  #9  
 
Class 3R Laser Join Date: Aug 2007
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^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.  
11192008, 10:41 AM  #10  
 
Class 3R Laser Join Date: Oct 2008 Location: So. Cal.
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If you have taken Calc 2 you should be able to fallow the Taylor Series proof. http://en.wikipedia.org/wiki/Euler%27s_formula Also see http://www.youtube.com/watch?v=zELiwFCQa1Y I'm a engineering major = LOTS OF MATH!! There are number people and letter people. What would you rather do, a 4 page essay or 50 math problems?
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11192008, 01:52 PM  #11  
 
Class 3B Laser Join Date: Dec 2007
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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
 
11192008, 03:34 PM  #12  
 
Class 2 Laser Join Date: May 2007 Location: South Florida
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I remember this from Calc 2 a looong time ago.  
11192008, 04:11 PM  #13  
 
Class 2M Laser Join Date: Sep 2007
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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.
__________________ The Frothy Chimp Cynic Extraordinaire Why yes, I am a rocket scientist Good whiskey, fine cigars, long legged women and blues guitar. That's what I like. The strong shall stand, the weak shall fall by the wayside.  
11192008, 05:03 PM  #14  
 
Class 1M Laser Join Date: Sep 2008
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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.  
11222008, 05:59 PM  #15  
 
Cereal Eater  Quote:
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 =(  
11232008, 10:49 PM  #16  
 
Class 3R Laser Join Date: Aug 2008 Location: Washington
Posts: 1,368
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That's a pretty cool formula. We're nowhere near that yet. (Then again, I am only in Precalculus...) Mark  
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