Editing P-adic analysis (section)

===Local–global principle===
{{main article|Local–global principle}}
[[Helmut Hasse]]'s local–global principle, also known as the Hasse principle, is the idea that one can find an [[diophantine equation|integer solution to an equation]] by using the [[Chinese remainder theorem]] to piece together solutions [[modular arithmetic|modulo]] powers of each different [[prime number]]. This is handled by examining the equation in the [[Completion (ring theory)|completions]] of the [[rational number]]s: the [[real number]]s and the [[p-adic number|''p''-adic numbers]]. A more formal version of the Hasse principle states that certain types of equations have a rational solution [[if and only if]] they have a solution in the [[real number]]s ''and'' in the ''p''-adic numbers for each prime ''p''.