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Questions on creating visualizations from functions or data using high-level constructors such as Plot, ListPlot, Histogram, etc.

2 votes
2 answers
103 views

Plotting asymptotically constant functions

Can anyone explain why Mathematica struggles with the following (equivalent) plots? Plot[x Abs[Sqrt[0.0002^2 - x^2] - Sqrt[0.0001^2 - x^2]], {x, 1000, 10000}] Plot[x^2 Abs[Sqrt[0.0002^2/x^2 - 1] - …
Chris's user avatar
  • 1,043
0 votes
0 answers
154 views

Is there a periodic color scale?

When I want to plot the phase of the wave as follows: DensityPlot[Arg[Exp[I x]], {x, -10, 10}, {y, -10, 10}] I get a plot with a sharp boundary when the phase reaches pi or minus pi. Is there a way o …
Chris's user avatar
  • 1,043
1 vote
2 answers
202 views

How to plot several plots of numerical solutions on one graph

I have a coupled first order system of differential equations which I'm solving numerically (my actual system is more complicated so I use this simple example). I'm trying to plot the solutions for di …
Chris's user avatar
  • 1,043
1 vote
1 answer
93 views

Flatten for ListDensityPlot [closed]

How do I flatten a list of the form {{{1, 2}, 3}, {{4, 5}, 6}, {{7, 8}, 9},...} to put it in the form {{1, 2, 3}, {4, 5, 6}, {7, 8, 9},...} required to use ListDensityPlot? Thanks in advance for any …
Chris's user avatar
  • 1,043
3 votes
4 answers
210 views

Automated use of PlotLegends

Is there a way I can sensibly automate the PlotLegends expressions within plot so as to correctly label each curve even when I change some of the initial parameter values? For example, consider the pl …
Chris's user avatar
  • 1,043
1 vote
3 answers
214 views

Variable subscript in AxesLabel [closed]

I am calling $y_{n}=x^{n}$ and I want to plot $ln(y_{n})$ for a number of different integer values of $n$ (I know this is very simple- it's actually a much simpler version of what I'm actually trying …
Chris's user avatar
  • 1,043
6 votes
3 answers
299 views

How to manipulate the colours when joining points in ListPlot

Suppose I plot out two sets of data on the same graph as follows: ListPlot[{{{1, 1}, {2, 2}, {4, 4}}, {{3, 3}, {5, 5}, {6, 6}}}] The colours of the points change based on which data set it belongs in …
Chris's user avatar
  • 1,043