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What do all these formulae mean

I got a physics tie and was wondering what the following formulae meant

I_A = I_G + m(AG)²

\Sigma

\dfrac {1}{x^5} = \pi \dfrac {p}{1-p^5}

Reply 1

Dirac Spinor

Original post by ilovemath

I got a physics tie and was wondering what the following formulae meant

I_A = I_G + m(AG)²

\Sigma

\dfrac {1}{x^5} = \pi \dfrac {p}{1-p^5}

the first one is the parallel axis theorem.

Reply 2

Rishabh95

This is what I found on wikipedia.

P-series

A generalization of the harmonic series is the p-series (or hyperharmonic series), defined as:

\sum_{n=1}^{\infty}\frac{1}{n^p},\!

for any positive real number p. When p = 1, the p-series is the harmonic series, which diverges. Either the integral test or the Cauchy condensation test shows that the p-series converges for all p > 1 (in which case it is called the over-harmonic series) and diverges for all p ≤ 1. If p > 1 then the sum of the p-series is ζ(p), i.e., the Riemann zeta function evaluated at p.

http://en.wikipedia.org/wiki/Harmonic_series_%28mathematics%29

Reply 3

3nTr0pY

Rishabh95's right. Here's more info:

http://en.wikipedia.org/wiki/Riemann_zeta_function#Euler_product_formula

In all honesty the equation has more to do with mathematics than physics, although I guess it can crop up on occasion.