26 views

### plot function on complex plane region with contours for absolute value and colors for its argument [duplicate]

I have the following example function ...
718 views

### How to create a checkerboard pattern?

I would like to write a generalized function to create a checkerboard pattern of any size (width of each square and frequency of repetition). How can I do so? Edit 1 This is what I tried. ...
811 views

### Implementing a compilable Faddeeva function of complex argument

For those, who are looking at Halirutan's answer and thinking "gee, I wish I was that good at LibraryLink, then I could really speed up my code!" I leave here the ...
388 views

### ColorFunction -> Hue not respected?

I am encountering a bizarre problem. I'm trying to generate the complex phase plot of the (principal branch of) the square root function by using DensityPlot on ...
284 views

### Custom color function in ListContourPlot?

I have a resource-consuming function of a complex variable, and I would like to make a contour plot of it with contours level curves of the modulus and the color coding the phase. If I just use ...
2k views

### Visualizing the Riemann zeta function

How to visualize in a nice geometric way (e.g., like in this YT video) the Riemann zeta function, $\zeta (z)$?
169 views

### IRR Plot on Complex Plane

How do I plot the solutions of Sum[cf1[[i, 2]] E^(-r cf1[[i, 1]]), {i, Length@cf1}] == 0 where ...
1k views

### Fractal basins of attraction in a Magnetic Pendulum

I am trying to write a Mathematica program that realizes a graphical approximation of the basins of attraction in a Magnetic pendulum subject to friction and gravity, in which the three magnets are ...
187 views

### ContourPlot code that worked in 9 does not work in Mathematica 10

I updated to Mathematica 10 from Mathematica 9. I am trying to create contour plots. I have a saved file with some output that I made using Mathematica 9, with the following equation ...
1k views

### Making an application based on user input

I purchased Mathematica a few days ago, and although I am a mathematician, my programming and Mathematica knowledge is close to zero. So please help and point me to some resources for the following ...
544 views

### How to draw the plot of a function in the complex plane? [duplicate]

I'm new to Mathematica, and I was wondering how to plot $x^n$ in the complex plane. Is there a dedicated function for this purpose?
2k views

### Draw the image of a complex region

I'm working on a complex question that asks that I determine a function that maps the complement of the region $D=\{z:|z+1|\le 1\}\cup\{z: |z-1|\le 1\}$ onto the upper half plane. That is, $f$ must ...
4k views

### How do I draw a Circular Graph colored like this in Mathematica?

I must plot some data in radians and would like to use this image as a background to that graph. Although it looks good, the lines are degraded in image form; thus, the reason for this question. Can ...