Data visualization is the study of the visual representation of data, meaning "information that has been abstracted in some schematic form, including attributes or variables for the units of information"

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90 views

Using NIntegrate and DiscretePlot to visualize pseudodifferential operators

In harmonic analysis, pseudodifferential operators are a way to generalize the notions of derivatives, through the use of Fourier transforms. The basic idea being, Let ...
1
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1answer
57 views

StreamPlot use fixed integration time to determine final path length, not fixed path length

I'm plotting velocity fields for fluid flow, and my call to Streamplot looks something like this: ...
5
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0answers
166 views

Visualising a 1-(50,15,15) design

The problem I have is the visualisation of a $1-(50,15,15)$ design. That is a set of $50$ points and $50$ blocks (lines), so that each point is on $15$ lines, and each line contains $15$ points. My ...
0
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1answer
97 views

How to let Mathematica ignore complex values in Plot functions?

Consider the polar coordinates function of a circle centered at $(2,0)$ with a radius of $\sqrt 2$: $$\rho(\theta)=\left\{\quad \begin{array}{c} 2 \cos \theta +\sqrt{2-4 \sin ^2\theta} \\ 2 \cos ...
3
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1answer
126 views
41
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6answers
2k views

ColorData[“VisibleSpectrum”] is wrong?

I am trying to visualize the visible spectrum using the built-in ColorData["VisibleSpectrum"] function which "colors based on light wavelength in nanometers". But I ...
12
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1answer
134 views
47
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1answer
2k views

How to construct a treemap using non-rectangles?

I've written the standard version of a tree map (a graphic that shows nested data) and I'm looking to improve on this layout by switching to different types of polygons or perhaps circles. Can anyone ...
4
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0answers
168 views

Visualizing the Lagrange Multiplier Solution

This question is based on work in Susan Colley's Vector Calculus, 4th ed. The question is to find and classify critical points of $f(x,y,z)=3xy-4yz+5xz$ subject to the constraint ...
6
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2answers
181 views

Visualize scalar field $f(x,y,z)$ in three dimension

I am trying to visualize scalar field in three dimension generated from some simulations with tuples $(x, y, z, w)$ where $w=f (x, y, z)$. Here is my first attempt ...
0
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1answer
33 views

How can I plot a function of imported data that ends up nested in lists four deep? [closed]

I imported a file of data from a model that I am running for my research. It produces the following output in Mathematica: ...
18
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0answers
2k views

How to visualize Riemann surfaces?

In WolframAlpha we can easily visualize Riemann surfaces of arbitrary functions, can we plot the Riemann surface of an arbitrary function using Mathematica and ...
8
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1answer
220 views

How to make a Nebulabrot?

A Nebulabrot is a generalization of the Buddhabrot, a fractal rendering technique related to the Mandelbrot set that sort of looks like a meditating buddha. The Buddhabrot rendering technique was ...
6
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2answers
317 views

How to improve visualisation of trajectories in 3D space

I have a list of trajectories from a bunch of photons that travel inside a scattering medium. Each trajectory is a list of $(x,y,z)$ pairs. I'd like to visualise them in 3D space. I came up with the ...
2
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0answers
73 views

Tree graph showing the orbits under the Collatz map?

ReverseCollatzPaths is a nice demonstration of a radial tree graph showing the orbits under the Collatz map. However, Jason Davies gives, I think, a nicer visulalization using Python, with a ...
2
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1answer
130 views

Visualizing how the zeros for this function change as its input parameter changes?

I'm trying to explore how the zeros of a certain parameterized function change as its parameter changes. ...
2
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2answers
216 views

BarChart3D does not print zeros and odd tick positions

Bug introduced in 9.0 and fixed in 9.0.1 I want to generate a simple 3D view of some frequencies for two variables. I have the counts in a 4x3 matrix, say. This is my bar chart code: ...
6
votes
4answers
216 views

Constructing a grid from a matrix

I would like to construct a grid from a matrix. For example, one possible matrix is $M1$. $$M1= \begin{pmatrix} c2 & a1 & a1 & a1 & a1 & a1\\ a2 & b1 & c2 & a1 & ...
3
votes
2answers
131 views

Problem with old code for a Calabi-Yau manifold

I would like to draw a Calabi-Yau space in Mathematica. From Andrew J. Hanson's paper (page 6) about this topic, I got the following code, which just does not show anything at all in my Mathematica ...
4
votes
2answers
1k views

How to plot the 2-D graph of $|x|+|x+y|=1$?

Problem Description: Today,I am countered with a integral problem that I need visualize a 2D graph of the equation $|x|+|x+y|=1$ I plots it step-by-step by hand: When $x \geq 0, x+|x+y|=1$ ...
25
votes
2answers
2k views

How to build a bvh (a motion capture file format) player in Mathematica?

How to build a bvh player that can be used to visualize human motions in Mathematica? Any idea or sample code would be appreciated. ...
5
votes
1answer
224 views

LabelingFunction in BarChart displays bar-values below x-axis

I'm trying to visualize some data using a BarChart[] in Mathematica. The data should be placed (centered) inside the bars - except the bar is too small. In this ...
0
votes
0answers
32 views

Weighted graph vizualization [duplicate]

Is it possible to visualize a weighted graph, so lines on screen would reflect weight? I.e., be longer, or shorter depending on edge weight? Slight OT: which graph visualising libraries/tools can do ...
3
votes
1answer
280 views

Visualization of Gaussian Curvature

I need to visualize Gaussian Curvature of a parametric surface. There is a solution in this math.SE post. However, I'm not sure its working because when I draw a sphere it's all white, but it should ...
8
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3answers
794 views

Visualization of matrix transformations

I define the "matrix transformation" here as follows: $\left[ \begin{matrix} x_1' \\ x_2' \\ \end{matrix} \right]=\left[ \begin{matrix} a & b \\ c & d \\ \end{matrix} ...
1
vote
2answers
85 views

What is the correct way to assign and use properties of vertices in graphs?

I'm using Mathematica 10, but I'm having a hard time getting it to do anything useful for network analysis because I'm having a hard time working with node properties and analyzing the graph by its ...
8
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1answer
88 views

Filling Stacked Graph v.10.1

I used a code very similar to the code posted by Kuba stacked line graph with fragmented data ...
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1answer
75 views

How to visualize such PopularCurve entities?

The following command EntityValue["PopularCurve", "Entities"] returns a long list of PopularCurves: {dragon curve, ...
8
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2answers
498 views

How to draw a protractor in Mathematica

I would like to draw a protractor with Mathematica. I hope this is a fun question. Here is some start codes I tried: ...
2
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2answers
137 views

How to plot a quarter disk with specified height?

Kind of important: the solution posted does work, and answers the question in that sense. However, it is very slow, so a faster option would be much appreciated. I'm trying to create the following ...
2
votes
1answer
68 views

Rotating a 3D plot constantly resizes

When I click and drag a 3D plot it rotates and when I release the mouse, the size of the image changes. This is distracting to me, I'd much rather have it look the same when I release the mouse button ...
39
votes
2answers
2k views

Möbius transformations revealed

Möbius Transformations Revealed is a short video that vividly illustrates the simplicity of Möbius transformations when viewed as rigid motions of the Riemann sphere. It was one of the winners in the ...
15
votes
2answers
710 views

How to connect discrete points and make them become continuous curve?

Given that I have two variables $\theta,t$, for the varible $t$, $\theta$ always owns several values. Namely, $$\{t,\theta_1,\theta_2,\theta_3,\theta_4...\}$$ where $t$ in the interval$[0,1]$ and ...
3
votes
1answer
81 views

How to use the edge routing of LayeredDigraphEmbedding when specifying explicit vertex coordinates?

The "LayeredDigraphEmbedding" GraphLayout uses an edge routing algorithm which produces nice and readable diagrams and curved ...
2
votes
2answers
311 views

Using Periodogram to investigate the seasonality of the data

After asking how to get rid of the seasonality of this set of data, I'd like to ask how to investigate the seasonality in data using Mathematica. Which tool would you use to study seasonality? I.e. ...
10
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3answers
1k views
1
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3answers
416 views

Visualizing data on a world map - flexible record format

I have a list of members of a team, and I want to create a visualization on a world map. I want to plot them on a map, to see some clustering. The fields are: ...
1
vote
1answer
380 views

How to plot a 3D surface from an Excel matrix, using column and row headers as axis labels

I am trying to use Mathematica to plot a surface chart similar to the ones that are created from Microsoft Excel. The point is to be able to easily colorize and manipulate the plot by free 3D ...
27
votes
5answers
5k views

Showing the correlation of two variables using a plot

I have a list of $\{x_i,y_i\}$ pairs and I want to show that $x_i$'s and $y_i$'s have positive correlation. The result of ...
7
votes
1answer
225 views

How to set the Y coordinates for a Graph with defined X coordinates to prevent overlap of nodes?

I would like to draw a Graph with defined $x$ coordinates and variable node sizes. If I simply replace the $x$ coordinates of a graph, then nodes can overlap and ...
1
vote
1answer
101 views

Changed appearance of Quantity expressions in v10.1.0

After installing Mathematica v10.1.0 (in Windows 8.1 x64), I noticed a change in appearance of Quantity expressions. For example under Mathematica v10.1.0: while ...
1
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1answer
140 views

Streamline Plot from velocity discrete values

I solved Navier Stokes equation in C for lid driven cavity flow and extracted converged values of u velocity and v velocities in ...
2
votes
1answer
129 views

How do you plot polygons with GeoRegionValuePlot?

How do you plot polygons in GeoRegionValuePlots? I'd like to reproduce what the call (2) (below) does with something like the call to (4). As you can see using GeoDisk(s) (3) works but the call (4) ...
13
votes
3answers
422 views

Graphics3D: Opacity limitations

Trying to make a better-looking globe model, I start off with something like this To enhance the 3D effect, I want the lines further from the eye to be "grayer" than the lines closer to the eye, as ...
10
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1answer
394 views

How to visualize pattern matching process?

I want a function that does the same job like ReplaceRepeated, and can make the matching process visible. I searched the Internet but didn't find any existing code ...
8
votes
1answer
291 views

Visualizing nested lists for easier human understanding

When interacting with Mathematica, I often find myself staring blankly at waves of curly braces, trying to understand how data is organized hierarchically. For example, the beginning of the result to ...
0
votes
0answers
126 views

ListDensityPlot seems to break down for large arrays

(Using Mathematica 10) When using ListDensityPlot to plot 40000 + data points, the produced plot seems to be blurred/incorrect for points occurring later in the list. For instance, in the following ...
6
votes
3answers
129 views

Controlling the size of Histogram in PlotLegends -> Histogram

I stumbled across this in the Mathematica documentation and thought it was pretty nifty except that the Histogram that appears as the plot legend is too small so the numbers on the histogram overwrite ...
3
votes
2answers
99 views

Can GeoLabels be controlled?

I am making maps of stuff like population density and would like to add labels but GeoLabels makes it awfully busy. Here is an example. I would like to be able to control what gets written, the color, ...