Thursday, September 07, 2006

Beautiful Mathematics Formulae

Mathematics
It is amazing how 2 divergent series and sequence converge to give Euler's constant:
As n goes to infinity we have (1+1/2+1/3+1/4+...+1/n)-log(n)=0.577.

Kuldeep said...

The most beautiful formula in mathematics is
e^(jxPi)+1=0
where j=Sqrt(-1).

Kuldeep said...

Isn't a statement that is a tautology pretty boring because it is always true. What do you think?

Kuldeep said...

Another beautiful formula in complex numbers and in mathematics in general is
j^(j)=e^(-pi/2)
That is j to the power j is a real number e^(-pi/2).

Kuldeep said...

Harmonic series minus the limit of ln(n) as n goes to infinity is equal to Euler's constant.

Kuldeep said...

Integral of x^x between 0 to 1 equals 1-2^2+3^3-4^4+5^5-6^6...

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