Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
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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:
iπ
e + 1 = 0
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.
#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.