10/10/2010, 12:58 AM

(10/09/2010, 03:13 PM)Ansus Wrote: The same is true for integrals: if you take

you can get different functions wich differ not only by a constant. The convention here is to count the solution as but this is only one of possible solutions. Another for example is

However, I have an eye toward the complex plane, with holomorphic functions (or multi-functions). It is true that, say, could equal , which is akin to the whole thing for the sum, but this function analytically continues in the complex plane to what is, essentially, just another branch of , just shifted by a constant shift of . When continued to a multifunction, there is no difference between and except a constant shift.