>>11978948>So basically they're piecewise functions over different domains?well, it's the same domain but you have a sort of "piecewise" assigning of the function's value depending on whether it's the "principle value" or if it's on one of the other "branches" of the riemann surface. like for example,
on the principle branch (0 is the principle value of ln(1), but on another "branch" of the riemann surface and on another branch .
> What's a Riemann surface? I never studied analysisthey're basically a generalization of the complex plane formed by taking multiple copies of the complex plane and gluing them together. an example is in this picture, the riemann surface for ln. the branch cuts are the white lines where the different different planes are glued together. (actually the riemann surface for ln is an infinite "spiral" but this picture just shows a few branches)
