Linked Questions

602 votes
19 answers
156k 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 ...
70 votes
6 answers
10k 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 ...
Mike Honeychurch's user avatar
30 votes
7 answers
5k 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 ...
Nothingtoseehere's user avatar
27 votes
4 answers
3k 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 ...
Lonidard's user avatar
  • 645
17 votes
4 answers
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 ...
David's user avatar
  • 14.9k
15 votes
2 answers
2k 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 ...
Adrian Manea's user avatar
14 votes
4 answers
1k 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 ...
LLlAMnYP's user avatar
  • 11.5k
10 votes
5 answers
15k 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 ...
Faisal Vali's user avatar
8 votes
4 answers
4k 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, $\zeta (z)$?
corey979's user avatar
  • 23.9k
7 votes
2 answers
3k 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 ...
David's user avatar
  • 14.9k
7 votes
1 answer
193 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 ...
nonameswereavailable's user avatar
4 votes
3 answers
206 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 ...
Nicholas G's user avatar
  • 1,971
2 votes
0 answers
105 views

Evaluating and Plotting 3F2 is very slow

I am interested in certain hypergeometric functions $ G_p(z) = \frac{1}{2} {}_3F_2 \left( \begin{matrix} p & p + 1 & \frac{1}{2} \\ 1 + i & 1 - i & \end{matrix} ;z \right) $ and would ...
Robin Ekman's user avatar
1 vote
5 answers
2k 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. ...
user36426's user avatar
  • 3,325
1 vote
1 answer
685 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 ...
José Figueroa-O'Farrill's user avatar

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