Linked Questions

10
votes
2answers
25k views

Plotting complex numbers [duplicate]

Possible Duplicate: Plotting an Argand Diagram How do I plot complex numbers in Mathematica? The following is a part of my data, the eigen values of a 50 by 50 asymmetric matrix: ...
4
votes
1answer
505 views

How do I plot complex numbers as Argand diagram [duplicate]

Given three complex numbers: $a=3+2i=(3,2) $ in $(Re,Im)$ plane. $b=-1-3i=(-1,-3)$ in $(Re,Im)$ plane. $c=a+b=2-i=(2,-1)$ in $(Re,Im)$ plane. Now, I want to plot these three complex numbers like ...
1
vote
1answer
701 views

Plotting region $f(S)$ for given complex function $f$ and $S \subseteq \mathbb{C}$ [duplicate]

I have a function $f: \mathbb{C} \rightarrow \mathbb{C}$ and I want to be able to see the effect of $f$ on any particular region of $\mathbb{C}$ e.g. what happens to the unit disk under this ...
1
vote
1answer
156 views

Image of the horizontal lines in the upper half plane under $f(z)=\frac{i-z}{i+z}$? [duplicate]

I would like to visualize the complex function $f(z)=\dfrac{i-z}{i+z}$ by plotting the images of different horizontal lines in the upper half plane under this map. With the following code ...
1
vote
2answers
198 views

Plotting a list of complex numbers on an argand diagram [duplicate]

I have the following f[z_] = 1/(z + I) Table[{f[z]}, {z, -10, 10}] This produces a list of complex numbers. Is there a way to plot this as a list plot perhaps. ...
9
votes
6answers
3k views

Image of first quadrant under $f(z)=(z+i)/(z-i)$

I'm able to plot the region where Im[z] > 0 and Re[z] > 0: ...
1
vote
1answer
774 views

Plotting solutions of a 4th order polynomial equation

I have a polynomial equation of the fourth order, which has $4$ roots depending on a variable parameter s1. For each s1 I have $...
3
votes
1answer
455 views

Schwarz-Christoffel maps from unit disk to regular polygons visualization

The function $$F(z)=\int_0^{z}(1-\zeta^n)^{-\frac{2}{n}}d\zeta$$ maps the open unit disk $\Bbb{D}=\{z\in\Bbb{C} : |z|\lt 1\}$ conformally on to the interior of a regular polygon with $n$ sides. How ...
-1
votes
1answer
577 views

Image of the unit circle under a complex rational function

Let $$f(z)=\dfrac{z(z-a)}{(z-b)(z-c)(z-d)}$$ be a complex rational function with distinct non zero complex numbers $a,b,c$ and $d.$ I need to plot the image of the unit circle $S=\{z\in\mathbb{C} : ...
1
vote
1answer
253 views

Plot[f,{x,xmin,xmax] is resulting in an empty graph

I am trying to plot this function (FvD) with respect to x. It results in an empty graph. ...
2
votes
1answer
64 views

Plotting Complex Numbers as “Arrows” on the Complex Plane

Given the following complex numbers (defined as the values of two functions f and g defined only on the points ...