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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.

2 votes
2 answers
161 views

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? …
Julien Roussillon's user avatar
1 vote
2 answers
158 views

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 …
Julien Roussillon's user avatar