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

1 vote

Color coded background of a 2d Plot and a density plot

workInProgress... lines = Table[{{x, 0}, {x, 1}}, {x, -2, 2, 0.01}]; > Show[ Graphics[{Hue[LogisticSigmoid[#[[1, 1]]]], Line[#]}] & /@ lines, Plot[E^-x^2, {x, -5, 5}, PlotStyle -> Black], …
Conor Cosnett's user avatar
0 votes
Accepted

Show ready-made plots with different style

I recommend adding a PlotStyle to each plot and being patient Show[MapIndexed[#1 /. {{a__, Line[b__]} :> {a, ColorData[97, First@#2], Line[b]}} &, {plot1, plot2, plot3}]] but here is a way to do i …
Conor Cosnett's user avatar
4 votes

Plotting vector field in polar coordinates

Mathematica needs a coordinate-system option in VectorPlot. For now a nice way to plot non-Cartesian fields is to use TransformedField which handles scalar, vector and even tensor fields. Consider t …
Conor Cosnett's user avatar
3 votes
2 answers
187 views

How to make columns different colors in an ArrayPlot?

Consider an ArrayPlot of some arbitrary matrix with values between zero and one. matrix = { {0.1, 0.1, 0.1} , {0.3, 0.3, 0.3} , {0.5, 0.5, 0.5} }; I want to plot this …
Conor Cosnett's user avatar
3 votes

How to make columns different colors in an ArrayPlot?

Apparently ArrayPlot accepts a matrix of color swatches. So one way of achieving the desired result is to replace all of the elements of the matrix with corresponding swatches. This can be done using …
Conor Cosnett's user avatar
8 votes

Why is this plot drawn so poorly? Can I draw a better image?

How about a ContourPlot ? ContourPlot[ { y == 4 , y == 4 - 4 ((1 - x^4)^(1/4)) } , {x, -1, 1} , {y, -1, 5} , PlotPoints -> …
Conor Cosnett's user avatar
5 votes
Accepted

The white line on DensityPlot

Try adding a PlotPoints option to increase the quality of the plot. For instance, PlotPoints->100: Note: You didn't supply a value for x0 so I set x0=0 below. x0=0; y0=1/Sqrt[2]; ga=1; theta=Pi/2; J= …
Conor Cosnett's user avatar
5 votes

How to plot a sphere with Cartesian coordinate axes?

Show[ Graphics3D@{Arrow[{{0, 0, 0}, {1, 0, 0}}]}, Graphics3D@{Arrow[{{0, 0, 0}, {0, 1, 0}}]}, Graphics3D@{Arrow[{{0, 0, 0}, {0, 0, 1}}]}, ContourPlot3D[ x^2 + y^2 + z …
Conor Cosnett's user avatar
3 votes
Accepted

Iterate over days of year to make a list/graph

solution with DateListPlot Clear[f,g] f = Function[x, DateObject[{2016, 1, 1}] + Quantity[(x-1), "Days"]] g[d_] := (DateValue[d, "Month"] + DateValue[d, "Day"]) listOfDates = Table[{f[d], g[f[d]]}, { …
Conor Cosnett's user avatar
11 votes
5 answers
6k views

Polar contour plot in Mathematica?

I am following a text on fluid mechanics with MAPLE examples. I want to do the following ContourPlot in Mathematica in Polar coordinates: $$ (r^2-\frac{a^3}{r}) \sin^{2}\theta$$ where $a=1$ cValues = …
Conor Cosnett's user avatar
0 votes

calculate missing values, Interpolation

Machine Learning some vanilla classics: Neural Network Decision Tree Gaussian Process Nearest Neighbors Borrowing the formatting from @kglr 's answer above: gasprices = {{{"Year", "EUR05/GJ"}, {2000 …
Conor Cosnett's user avatar
6 votes

How to visualise the area between polar curves using filling option?

You can use ParametricRegion and overlay it on your original plot using Show: Show[ Region[ParametricRegion[(w*θ + (1 - w)* Exp[θ]) {Cos[θ], Sin[θ]}, {{θ, 1, 1.2}, {w, 0, 1}}]] , PolarPlot[{ …
Conor Cosnett's user avatar
2 votes
2 answers
6k views

How to make a bifurcation diagram of the Lorenz system under a varying parameter value?

I'm trying to represent the behaviour of the system $\color{red}{r}$ varies from $\color{red}{1}$ to $\color{red}{100}$ statically (for instance something similar to a bifurcation graph)? \begin{alig …
Conor Cosnett's user avatar
4 votes

3D scatter plot with crosses

InputForm[ChemicalData["Methane", "MoleculePlot"]] moleculePlot[poiints_] := Show[Graphics3D[ { Translate[ GraphicsComplex[ { {0.0115361, -0.00644059, -0.0023318}, …
Conor Cosnett's user avatar
5 votes
Accepted

Is Mathematica capable of producing 2d contour plots from .txt files with the contour levels...

I would approach this by experimenting with a tiny version of the problem. Here is a 5 column .txt file I made: http://pastebin.com/wCPxdvQB Download it and Import it into your session with: data …
Conor Cosnett's user avatar

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