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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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#1 2005-09-25 14:30:27

mikau
Super Member

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pi: the phantom of mathematics

I saw on numb3rs yesterday that the irrational number "pi" is found in other area's of math, totally unrelated to circles. Is this true? And where else does pi appear?


A logarithm is just a misspelled algorithm.
 

#2 2005-09-25 22:50:21

kylekatarn
Power Member

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Re: pi: the phantom of mathematics

here:


e  + 1 = 0


smile

Last edited by kylekatarn (2005-09-26 06:09:51)

 

#3 2005-09-26 05:01:46

mikau
Super Member

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Re: pi: the phantom of mathematics

??? e as in the natural logarithm?


A logarithm is just a misspelled algorithm.
 

#4 2005-09-26 06:09:17

kylekatarn
Power Member

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Re: pi: the phantom of mathematics

yes
e^(i*pi)+1=0

 

#5 2005-09-27 14:01:36

ganesh
Moderator

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Re: pi: the phantom of mathematics

Euler's equation!
This is because
(Cosθ + iSinθ)^n = Cos(nθ) + iSin(nθ)...DeMoivre's equation
and Cosθ + iSinθ=e^(iθ)
When θ=Pi (radians)
e^(i*pi) = Cos(pi) + iSin(pi)
We known Cos(pi)=-1 and Sin(pi)=0,
Therefore,
e^(i*pi)=-1
or
e^(i*pi) + 1 = 0


Character is who you are when no one is looking.
 

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