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

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33
votes
4answers
5k views

Creating legends for plots with multiple lines?

So I have a graph with multiple lists, for e.g. data = {{1,2}, {3,4}, {3,5}, {2,3} . . .} If I then do ...
21
votes
3answers
669 views

Difference in Plot when using Evaluate vs when not using Evaluate

This example comes from the Mathematica documentation for Plot under Basic Examples. Can someone please explain why these are each plotted as a different color in ...
19
votes
3answers
2k views

ShowLegend values

How do I get ShowLegend to put the max and min values that a plot produces. for example, when using ListDensityPlot, with ...
58
votes
4answers
6k views

1 Plot, 2 Scale/Axis

I would like to plot those two datasets on top of each other. But they have very different range on the $y$ axis. How can I have two different axis? I found the following on the help menu but quite ...
26
votes
4answers
1k views

How to change the default ColorData used in Mathematica's Plot?

This question leads on from the recent question What are the standard colors for plots in Mathematica? There it was determined that the default color palette used by ...
19
votes
2answers
754 views

Generating a broken or snipped axis in ListPlot

I have two data sets, data1 and data2. For example: ...
11
votes
3answers
572 views

Why is ContourPlot not displaying this curve?

I am using the general form of a second-degree plane curve: $$Ax^2+2Bxy + Cy^2+2Dx + 2Ey + F = 0$$ I want to randomly generate plane curves of this form, so I am using ...
376
votes
6answers
142k views

xkcd-style graphs

I received an email to which I wanted to respond with a xkcd-style graph, but I couldn't manage it. Everything I drew looked perfect, and I don't have enough command over Plot Legends to have these ...
16
votes
2answers
404 views

Do I have to code each case of this Grid full of plots separately?

I have written some custom functions to draw multi-panel graphs like this one: It's done by passing a matrix of (custom) plotting functions to a MultiPanelGraph ...
21
votes
3answers
2k views

ListPlot with each point a different color and a legend bar

I would like to generate a ListPlot with the color for each point in the plot corresponding to a particular value (not associated with the position in the plot). I'd then like to add a legend ...
22
votes
6answers
5k views

Labeling individual curves in Mathematica

I need to create a plot for export and inclusion in a report. Is there a better way to label curves than PlotLegends? From what I've read and my personal ...
9
votes
4answers
3k views

Plotting Complex Quantity Functions

Trying to plot with complex quantities seems not to work properly in what I want to accomplish. I would like to know if there is a general rule/way of plotting when you have complex counterparts in ...
18
votes
3answers
2k views

Computing and plotting a spectrogram in Mathematica

How can I compute and plot the spectrogram of a signal/time series/data in Mathematica? I have a WAV file, sampled at 44100 samples/second and I want to generate a spectrogram of that data. Something ...
16
votes
3answers
499 views

Scale Insetted Characters to Plot

I am trying to place a curly brace within a plot such that the top/bottom of the curly brace line up with two horizontal lines in the plot: I have not been able to find a way to make the curly ...
12
votes
3answers
716 views

I'd like to display field lines for a point charge in 3 dimensions

I'd like to display field lines for a point charge in 3 dimensions. Not a force field (short arrows) but continuous field lines that start on the charge.
18
votes
4answers
938 views

Can 2D and 3D plots be combined so that the 2D plot is the bottom surface of the 3D plot boundary?

I have a ListlinePlot function, that I would like to combine with both a Graphics3D plot and a ...
7
votes
3answers
520 views

Given a Table of Plots with some parameter, how would I mark each of the plots with that parameter

I've got a two variable function that I'm plotting against one axis for a few different values of a parameter ...
27
votes
4answers
690 views

Point Renderings Slightly Off in Mathematica

The Mathematica code ...
16
votes
3answers
1k views

Plotting piecewise function with distinct colors in each section

I have a piecewise function that I would like to plot but I was wondering if it is possible that each part of the function that is plotted when its corresponding condition is true be plotted with a ...
8
votes
3answers
406 views

Problem with ParametricPlot

I'm ploting gear curves (http://mathworld.wolfram.com/GearCurve.html), and I observe that for some parameter values ParametricPlot[] does not plot all the teeth: ...
48
votes
2answers
2k views

How to manipulate 2D plots?

When it comes to visual analysis, large datasets or data with intricate internal details often makes plotting in 2D useless, as the outcome is either just a fraction of the full dataset, or no details ...
21
votes
2answers
438 views

Aligning plot axes in a graphics object

I need to align the y-axes in the plots below. I think I'm going to have to do some rasterizing and searching for vertical lines, then vary x and ...
21
votes
3answers
402 views

Consistent Plot Styles across multiple MMA files and data sets

I am starting to write a thesis for which I want to use MMA for all my plotting needs, mostly because a lot of the basic analysis has been done there. To ensure that I am applying styles consistently ...
18
votes
3answers
887 views

Avoiding white lines inside filled area in RegionPlot exported as PDF or PS

When doing a RegionPlotand then exporting (or saving from the front end) as PDF or EPS, there are small white lines in the filling of the region. Here's an example ...
17
votes
5answers
2k views

Using PlotLegends with Show messes up the graphics

I have already obtained the plot that I want but am having trouble legending the graph correctly. ...
6
votes
1answer
405 views

Vertically aligning two separate plots

How do I vertically align plots so that the two plots are displayed in a way that lines up with respect to the axes? The code I have so far is: ...
7
votes
4answers
964 views

Coloring Points in a List Plot [duplicate]

Possible Duplicate: ListPlot with each point a different color and a legend bar I want to color the points in a list plot using a function of the (x,y) values. I tried this (example with ...
4
votes
1answer
1k views

More on combining 2d and 3d plots

This is a spin off/follow up to Can 2D and 3D plots be combined so that the 2D plot is the bottom surface of the 3D plot boundary? ... Following Sjoerd's method, I did this: ...
8
votes
3answers
370 views

How do I use Map for a function with two arguments?

I'm a newbie who tries to be a good boy, and use Map instead of writing out a list of functions. I have a table I want to Map ...
8
votes
2answers
178 views

Why do I have to put Evaluate[] here

I wanted to draw some contours. I succeeded with this: ...
13
votes
4answers
309 views

How can I turn off SingleLetterItalics in PlotLabels, etc, when the Options Inspector won't do it?

One of the requirements set for the graphing project I am working on is that plot and axis unit labels sometimes need to include superscripts. Here is an approximately minimal example (I have some ...
6
votes
2answers
297 views

Controlling the 2D $x–y$ aspect ratio of a 3D plot

I have some data representing a nested list, each element being composed of 3 real numbers like ...
33
votes
4answers
2k views

How to make a 3D globe?

There are many ways to create a 3D Earth that is rotatable (see here, here, related here), but most of them have some drawbacks. These issues mainly stem from either ...
36
votes
4answers
2k views

How can I generate this “domain coloring” plot?

I found this plot on Wikipedia: Domain coloring of $\sin(z)$ over $(-\pi,\pi)$ on $x$ and $y$ axes. Brightness indicates absolute magnitude, saturation represents imaginary and real magnitude. ...
21
votes
4answers
985 views

Saner alternative to ContourPlot fill

I am producing a large number of ContourPlot objects, which when exported generate notoriously large PDF files because it basically generates lots of little ...
21
votes
4answers
1k views

Density plot on the surface of sphere

I would like to make density plots of a list of (size 2 or 3) spherical harmonics on the surface of a sphere. I'd like to plot it so that each element of that list is using a different color (red ...
21
votes
2answers
1k views

Plotting implicitly-defined space curves

It is known that space curves can either be defined parametrically, $$\begin{align*}x&=f(t)\\y&=g(t)\\z&=h(t)\end{align*}$$ or as the intersection of two surfaces, ...
19
votes
7answers
1k views

Changing the background color of a framed plot

I frequently generate framed plots like this: Plot[Sin[x], {x, 0, 2 \[Pi]}, Frame -> True] Is there an easy way to change the background color of the framed ...
15
votes
4answers
1k views

Spherical density plot of data set

I have a somewhat large number of 3-dimensional unit vectors ( ~ 100 000 unit vectors), and I am trying to visualize their distribution. First thing I tried was ...
10
votes
6answers
2k views

About multi-root search in Mathematica for transcendental equations

I have some questions for multiroot search for transcendental equations. Is there any clever solution to find all the roots for a transcendental equation in a specific range? Perhaps ...
15
votes
5answers
1k views

How do I plot a plane EM wave?

I would like to display an electromagnetic (EM) wave. I have written code that works, but it does not "shade" the area between the graph and the axes. Both the ...
14
votes
4answers
836 views

Plotting several functions

I'd like to plot a function of one real and one integer variable, but I don't want them all shown in the same 2-D plot - I'd like to see them as separate curves so I can see both 'axes', more like ...
10
votes
2answers
528 views

Using a function name instead of its definition in AxesLabel

I seek to use a token as an axis label, but this token, having other meanings, is expanded by Mathematica. If I enclose the token in quotes, it is not expanded, but it is also no longer italicized. ...
15
votes
5answers
2k views

Flipping axis on a plot

I want to make a 2D plot where the x-axis is flipped so the higher numbers are on the right and lower numbers are on the left. I've managed to do it by flipping the data and making new ...
11
votes
4answers
1k views

Remove tick labels, but retain tick marks in RegionPlot (and related functions)

I would like to remove the numbering on the axes of the following RegionPlot. I would like to keep the tick marks but drop the numbering, I haven't figured out how ...
7
votes
3answers
396 views

PolarPlot render oddities

I apologize if this is a obvious question and answer, I don't often use Mathematica to display plots or graphics in general to be honest. So, I was tutoring my cousin yesterday in relation to Polar ...
6
votes
4answers
606 views

SIGSEGV error with 3D Plots

I originally asked this question here but didn't get a satisfactory answer. I am using Mathematica 8.0.1.0 on Ubuntu 11.10. I created a 3D plot from an ...
14
votes
1answer
264 views

Why does Plot3D omit parts of the surface at kinks?

When doing Plot3D[Max[p^2-q^2,0],{p,0,1},{q,-1,1},PlotStyle->White] the result looks like this (with Mathematica 8.0.0.0): As you can easily see, at the ...
14
votes
3answers
767 views

Mathematica envelope for the bottom of a plot, a generic function

I have the following set-up: xaxis = Table[x, {x, 0, 10, 0.01}]; yaxis = Table [Sin[x] + Abs[RandomReal[{-1, 1}]], {x, 0, 10, 0.01}]; ListLinePlot[Transpose[{ xaxis, yaxis}]] My ...
9
votes
1answer
257 views

Plot showing discontinuity where it shouldn't

I was trying to integrate a continuous function with a kink and I did it two ways and both ways the plot of the result shows a discontinuity. I also later want to differentiate the Integrated ...

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