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Timeline for Keeping Phase Factors in Sqrt

Current License: CC BY-SA 4.0

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Jan 11, 2021 at 22:38 vote accept El Rafu
Jan 6, 2021 at 22:45 comment added Dominic The function f(z,w)=w^2-z^8=0 is an algebraic curve and we could even plot the solution contours, the solutions to the DEs, over the branches of this curve to clearly show how the DE solutions provide an analytically-continuous route over the sheets of the curve.
Jan 6, 2021 at 22:35 history edited Dominic CC BY-SA 4.0
make more clear
Jan 6, 2021 at 20:51 comment added El Rafu Very nice, thanks a lot! From the reformulation $0=f(z,w)$ I guess one could express these graphs as affine algebraic plane curves, such that the two components are defined through real polynomials $0=P_1(x,y)P_2(x,y)$ with $w=x+iy$?
Jan 6, 2021 at 19:53 history edited Dominic CC BY-SA 4.0
correct typos
Jan 6, 2021 at 19:38 history answered Dominic CC BY-SA 4.0