### Some articles on *adic, adics*:

0.999... - In Alternative Number Systems -

... The p-

*p*-adic Numbers... The p-

**adic**numbers are an alternative number system of interest in number theory ... Like the real numbers, the p-**adic**numbers can be built from the rational numbers via Cauchy sequences the construction uses a different metric in which 0 is closer to p, and much closer to pn ... The p-**adic**numbers form a field for prime p and a ring for other p, including 10 ...Hasse Principle - Intuition

... solution, then this also yields a real solution and a p-

... solution, then this also yields a real solution and a p-

**adic**solution, as the rationals embed in the reals and p-**adics**a global solution yields local solutions at each prime ... or rather, asks what the obstruction is when can you patch together solutions over the reals and p-**adics**to yield a solution over the rationals when can ... For number fields, rather than reals and p-**adics**, one uses complex embeddings and -**adics**, for prime ideals ...