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Questions about using complex numbers in Mathematica. This includes basic arithmetic, functions of complex numbers, plotting complex functions, and dealing with branch cuts.
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Plot a line on the complex plane knowing one point and its orientation
I want to draw a line on the complex plane which begins at $0.4+0.1i$, and with an angle of $\frac{\pi}{4}$ with respect to the real axis. Is there a simple way to do this in Mathematica? …
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Plot values of an $m\times n$ matrix on the complex plane with color varying along $m$
Let's say I have a complex valued matrix $\begin{pmatrix}1+I&2+2I&3+3I\\4+4I&5+5I&6+6I\end{pmatrix}$ represented by a list:
list = {{1 + I, 2 + 2 I, 3 + 3 I}, {4 + 4 I, 5 + 5 I, 6 + 6 I}}
I know how … to plot each point of the matrix on the complex plane:
Mlist = Table[Table[{Re[list[[i,j]]], Im[list[[i,j]]]}, {i,1,2}], {j,1,3}];
ListPlot[Mlist, PlotRange -> All]
In my case, I have 1000 rows, and …