U = 0, where U is the unworldliness, obtained by summing the absolute values (or the squares) of the difference of the two sides of every physics equation.
But seriously, Moebius inversion is pretty cool:
\prod_{n | m} {(\prod_{d | n} {g(d)})^{\mu (\frac{m}{n})} = g(m)
Alternatively,
\sum_{n | m} {(\mu (\frac{m}{n}) \sum_{d | n}{f(d)})} = f(m),
which true for any function from the positive integers to any commutative ring, where \mu is the Moebius function, mu(d) = (-1)^(number of prime factors of d) if d is squarefree, 0 otherwise.
Each person could just share an.mp3 called "ftp://login:pass@hostname". Then, when a person sees that someone has the mp3 they want, they just connect to their ftp site and get the real thing. Napster is just a service for finding mp3s anyway; the actual transfer is peer to peer.
For a minute there I thought he was talking about dynamix.net.
U = 0, where U is the unworldliness, obtained by summing the absolute values (or the squares) of the difference of the two sides of every physics equation.
But seriously, Moebius inversion is pretty cool:
\prod_{n | m} {(\prod_{d | n} {g(d)})^{\mu (\frac{m}{n})} = g(m)
Alternatively,
\sum_{n | m} {(\mu (\frac{m}{n}) \sum_{d | n}{f(d)})} = f(m),
which true for any function from the positive integers to any commutative ring, where \mu is the Moebius function, mu(d) = (-1)^(number of prime factors of d) if d is squarefree, 0 otherwise.
Last post.
Hi
Each person could just share an .mp3 called "ftp://login:pass@hostname". Then, when a person sees that someone has the mp3 they want, they just connect to their ftp site and get the real thing. Napster is just a service for finding mp3s anyway; the actual transfer is peer to peer.
Are you talking about COPA or COPPA?