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| -rw-r--r-- | Problem Set 1.page | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/Problem Set 1.page b/Problem Set 1.page index b545fd4..91d2a30 100644 --- a/Problem Set 1.page +++ b/Problem Set 1.page @@ -4,9 +4,9 @@ - Show that every nonzero complex number has exactly $3$ cube roots. What are the cube roots of $i$? Draw them in the complex plane. -- Show that the Cauchy-Riemann equations are equivalent to the following PDE: +- Show that the Cauchy-Riemann equations for $f=u+iv$ are equivalent to the following PDE: - $df/dx + i df/dy = 0$ + $\frac{\partial f}{\partial x} + i \frac{\partial f}{\partial y} = 0$ You might want to use this fact in the problems below, though it's not necessary. |