Linked Questions

527
votes
19answers
131k views

Where can I find examples of good Mathematica programming practice?

I consider myself a pretty good Mathematica programmer, but I'm always looking out for ways to either improve my way of doing things in Mathematica, or to see if there's something nifty that I haven't ...
65
votes
6answers
8k views

How can this image (optical illusion) be created with Mathematica?

I came across this image the other day: and liked the sensation of it pulsing. I was wondering if anyone would know how to create something similar with Mathematica (without the Pink Floyd Dark Side ...
29
votes
7answers
3k 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 ...
8
votes
5answers
12k views

How can I plot the complex graph of $x^x$ in Mathematica?

For example, this Wolfram Alpha query shows this graph: But it does not show the code for plotting it in Mathematica. Plot[x^x, {x, -1, 1}] only plots the real ...
17
votes
4answers
2k views

Domain Coloring

My next project I'd like to start working on is Domain Coloring. I am aware of the beautiful discussion at: How can I generate this "domain coloring" plot? And I am studying it. However, a ...
13
votes
4answers
639 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 ...
19
votes
2answers
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 ...
15
votes
2answers
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 ...
8
votes
4answers
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, $\zeta (z)$?
7
votes
2answers
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 ...
1
vote
5answers
460 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. ...
7
votes
1answer
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 ...
0
votes
1answer
533 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?
1
vote
1answer
307 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 ...
4
votes
3answers
152 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 ...

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