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

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3
votes
2answers
307 views

Transparency rendering problems in Mathematica 10 (Mac)

For some weird reason, they apparently changed the styling of contours in ContourPlot for 10.0. Here is a comparison of the results for V9 and V10 (first 9, then 10): ...
3
votes
2answers
126 views

Problem with Poincare section

these are equations for some double oscillators: $x'(t)=p, p'(t)=-x-3y, y'(t)=q, q'(t)=-y-3x$ I would like to plot the Poincare section for collection of $(y,q)$ when $x=0$ and $x'(t)>0$ (or for ...
0
votes
0answers
43 views

Help to plot Poincare section for a system of delay differential equations

I'am trying to plot Poincare section for a 4-dimentional system of Delay differential equations. I don't know how to specify initial conditions. Can I use each of the code in the following ? Also how ...
0
votes
2answers
90 views

Solve differential equation with 3 variables and plotting contour

Suppose we have this equation: $$ 2 - x g(z) f \left(x, \frac{\partial y}{\partial x}\right) = 3y $$ using initial condition $y = 2$ where $g = \left| \frac{3}{2-iz} \right|$ and $f = ...
3
votes
3answers
256 views

ArrayPlot and non-integer PlotRange

There seems to weird bug regarding non-integer PlotRange in ArrayPlot. For example... ...
11
votes
4answers
388 views

Plot the minimum of a list of functions

This is my first question on any stack-exchange site and I'm also very new to using Mathematica software so please excuse/correct me if I mess up. I would like to take a list of functions of a single ...
8
votes
2answers
351 views

What are the standard colors for plots in Mathematica 10? [duplicate]

Mathematica 10 release appears to have changed the default styling of plots: the most visible changes are thicker lines and different default colors. Thus, answers to this stackoverflow question are ...
20
votes
5answers
451 views

Compiling ColorFunction for faster complex phase-amplitude plots

I have gotten into the habit of plotting complex-valued functions on a plane using a color-function along the lines of ...
1
vote
3answers
84 views

Initial Image Size of dynamic plot

I have a dynamic plot. I want to set an initial image size and then be able to resize it by dragging with the mouse. When the image is updated, I want to maintain the "dragged" size. A naive attempt ...
1
vote
2answers
112 views

Rough mesh lines in partially opaque 3D plots

If I plot a surface with mesh lines, they show up fine (of course). However, if the surface is even just a little transparent, they get quite rough. Compare this to setting the Opacity to 1: ...
-1
votes
2answers
106 views
1
vote
1answer
69 views

geometric construct in GeoRegionValuePlot doesn't work?

As stated in the documentation of GeoRegionValuePlot: The reg can be Entity objects such as countries corresponding to extended geographic regions, or geometric ...
6
votes
1answer
104 views

How to get grid lines at all (log) tick marks in Version 10?

In Version 7 using GridLines -> Automatic (or All) would put a grid line at every log-spaced tick mark: ...
0
votes
1answer
77 views

Density map strange mapping of color

I tried to convince Mathematica 8 to plot a density map of a function: $$f(x,y) = \frac{2(x^2 - y^2)-1}{(x^2 + y^2)^2}$$ with color scheme called "TemperatureMap". At $x = \pm 1$, $y = 0$ it's ...
0
votes
0answers
29 views

To write an array by varying two variables

I have a equation G=2X+Y, Now i changed X and Y together from 1 to 10 . I got various values Of G. I have done this by using Table command ,Now I want to plot a graph between G and X, i could not find ...
4
votes
1answer
67 views
16
votes
1answer
270 views

Specifying non-conflicting PlotTheme options

I am trying out Mathematica 10 on https://programming.wolframcloud.com. $PlotTheme interested me a lot because it finally produces nice plots (probably) without the ...
21
votes
1answer
253 views

Is it possible to define new PlotTheme?

In version 10 one can define, say, $PlotTheme = "Scientific" Which changes the appearance of all plots. This is fantastic because on the one hand, I can have ...
6
votes
4answers
161 views

PlotLegend disappears if Plot is used with ColorFunction

Working some charts on V10, I discovered that PlotLegends disappears if used together with ColorFunction inside ...
4
votes
0answers
67 views

Why does GridLines option fail with Function?

The Plot option GridLines can be specified either as a list of explicit values at which to draw the lines, or as a function that ...
1
vote
2answers
64 views

ParametricPlot - Problem with ColorFunction

I am unhappy with the following mapping: ...
12
votes
1answer
278 views

What is wrong with triangle PlotMarkers in v.10.0.0?

In Mathematica 10.0.0 we have built-in graphical triangle PlotMarkers. Let us look closer on them: ...
0
votes
0answers
31 views

complicated color function and color bar legend (summary of the results from previous relevant posts)

At first let me apologize. I should have read the policies of this forum before attempting a post. I was more accustomed to a moderated forum like MathGroup than such an active one like the ...
35
votes
4answers
2k views
0
votes
0answers
83 views

Timing: how make a program to work faster using built in functions and tables

I want to improve my code to make it working faster even for very large numbers. ...
10
votes
1answer
98 views

BaseStyle ->AbsoluteThickness[somenumber] doesn't work in version 10?

Users of version 9 might be surprised by this outcome: Plot[{Sin[x], Cos[x]}, {x, 0, 5}, BaseStyle -> AbsoluteThickness[5]] It seems that ...
13
votes
2answers
385 views

How can I get LineLegend to pick up my plot's BaseStyle?

The new legends functionality in version 9 really simplifies creating legends, and it automatically picks up the styles of the lines. ...
1
vote
2answers
61 views

Combining Plot and ListPlot in a manipulation [closed]

I have a plot of data points using ListPlot and another plot using a function. I want the function to look like the data points. I am able to use ...
0
votes
1answer
39 views

Using Show to place a ParametricPlot on a LogLog scale

I wish to have a few plots on the same graph: ListLogLogPlot, LogLogPlot and a ParametricPlot drawing lines perpendicular to the x-axis. The problem is however that ParametricPlot doesn't seem to have ...
0
votes
1answer
103 views

Can mathematica rearrange an equation and solve/plot it? [closed]

Suppose we have this equation: $$ sin(x+y+z) = x^2y - wz$$ I want mathematica to plot contours of $x$ with axes of $y$ against $z$ in the limit $w \rightarrow 1$, tried this code but didn't work. ...
0
votes
2answers
56 views

Plot integration curve of a system of ODEs

I'm really n00b in Mathematica, so please bear with me, as this seems to be my only option to learn how to do what I wany to do. I have a system of two differential equations: ...
23
votes
4answers
652 views

How can the opacity of a dense data set be automatically chosen?

The problem In a dense data set plotted with opaque points, data points can pile on top of each other. This can cause serious problems with the interpretation of the plots. I'll use as an example a ...
1
vote
2answers
49 views

Enlarging a contour plot

I just started using Mathematica, and when I entered the following: ...
2
votes
0answers
43 views

Plotting multiple curves with multiple axes (>2) on the same plot

I'm attempting to generate a graph that depicts mulitple time series, measured in different units (but with a common time scale) on the same graph. This is a generalization of the familiar ...
3
votes
1answer
91 views

Wavelength, wavenumber, energy and frequency in a ruler

I would like to generate set of four axis relating wavelength, wavenumber, energy and frequency in an arbitrary range. Like in this image but without the labels such as "RADAR". The selection of ...
2
votes
0answers
18 views

Customizing the distance of plot frame tick labels to frame [duplicate]

How can I customize the distance between the frame tick labels in a plot and the frame of the plot? MWE here —nothing special: ...
3
votes
3answers
103 views

Customizing decimal mark used in plot frame tick labels

I am using the Plot function in a usual way. I use Mathematica 9.0.1.0 in English (I do not know if it is available in other languages, but I do not mind), and as a ...
-3
votes
0answers
47 views

complicated color function (no rescale)

Continue with the same issue of the previous relevant threads. The following is from the replies I got and works as desired. ...
3
votes
1answer
91 views

Arranging and combining multiple plots and graphics

I have 4 plots/schematics. They are either created with ArrayPlot[], ParametricPlot3D[] or Graphics[]. As I play with calculation resolutions their absolute sizes will change. I would like a neat way ...
0
votes
0answers
65 views

puzzled with ColorData

At first let me thank, from this point as well, those that they replied to my previous queries. From a reply I got, I obtained finally the desired graph. ...
0
votes
1answer
56 views

Density plot of asymptotic behaviour of a linear system

Good morning, I have an ODE linear system $\dot{\vec f} = A \vec f$ depending parametrically to two real parameters, s and p. I'd like to get a density map of the solutions of $f_A/(f_A+f_B)$ at ...
2
votes
1answer
61 views

Why Plot3D does not accept Epilog option [closed]

I am trying to visualize 3D points with Plot3D using the option Epilog. If you check the options of Plot3D ( Options[Plot3D] ), it can be seen that Epilog is one of ...
0
votes
1answer
61 views

Find exact value

I want to know exact x'[t] value where z[t]=0 I know approximate x'[t] value is 107 but I cannot find how to find exact x'[t] value ...
-1
votes
1answer
52 views

Plot CPU time vs iteration? [duplicate]

I would like to generate a plot of CPU time vs number of iterations. For example, if I were to calculate the solution of a system of differential equations in state-space form using the summation of ...
3
votes
3answers
219 views

Using a complicated function as color function

I have an ellipsoid with parametric equations lst = {10*Cos[u]*Sin[v], 3*Sin[u]*Sin[v], 2*Cos[v]}; I define a function ...
0
votes
1answer
142 views

Problem with Plot and ParametricNDSolve

This is my first question on this site, I hope it is written in an understandable way. Let's start. My aim is to plot a certain parametric region, with $x$ and $y$ coordinates given by the following ...
1
vote
1answer
66 views

add a color bar legend to a 3D plot

This has a connection to the previous post here: puzzled with a color function Also, a recent post of mine appeared here: Create a color bar plot legend but I should have solved the problem with the ...
-2
votes
1answer
55 views

Plot various functions in different intervals [closed]

I need to do some really easy in WolfarmAlpha online. I want to to plot 2x for {1 to 3} and ...
0
votes
1answer
64 views

Unexpected behaviour plotting a PDE solution

I'm solving some coupled PDEs (Eb1 and Ef1) and what I plot for Eb1 appears to be correct. However, for some reason, when I go to plot Ef1, I get nothing. MWE is below (beginning is constants and ...