Can someone provide an example of different branch cut for the complex square root functioning than the classic one along the negative real axis? I'm a little hazy on the full purpose of branch cuts, is it to ensure a continuous domain is sent to a continuous range? So if we made a cut on the positive real axis, would we have to change out domain?
Asked
Active
Viewed 183 times
2
-
1Any simple curve starting from (0,0) and going to infinity would do. – Did Jul 24 '14 at 17:15
-
But is that the point? To send continuous domains to continuous ranges? – Jul 24 '14 at 17:29
-
??? The point of what? With respect to what? – Did Jul 24 '14 at 17:54