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

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**mikau****Member**- Registered: 2005-08-22
- Posts: 1,504

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.

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**kylekatarn****Member**- Registered: 2005-07-24
- Posts: 445

here:

iπ

e + 1 = 0

*Last edited by kylekatarn (2005-09-25 08:09:51)*

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**mikau****Member**- Registered: 2005-08-22
- Posts: 1,504

??? e as in the natural logarithm?

A logarithm is just a misspelled algorithm.

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**kylekatarn****Member**- Registered: 2005-07-24
- Posts: 445

yes

e^(i*pi)+1=0

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,579

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

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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