23
votes
1answer
359 views

How to extract a list of available Method-s

The option Methodapplies for several functions, such as NDSolve, FindRoot, ...
22
votes
3answers
1k views

Does parallel programming use up large quantities of memory in Mathematica?

When I start Mathematica with a fresh kernel and load a program I am developing to analyze biology data, the amount of used system memory is 1.9 GB (free memory is 14.5 GB). These memory values are ...
19
votes
1answer
432 views

How to write Morse code into Plot Dashing?

How can we define a dashing pattern in a plot such that it reads arbitrary text in Morse code? For instance Graphics[{DotDashed, Line[{{0, 0}, {5, 0}}]}] ...
19
votes
2answers
768 views

Why does ImageData need four times more memory?

Background We are dealing with very large TIFF image files that are imported, processed and exported using Mathematica 9.0.1. Many of our algorithms only work with an array representation of the ...
19
votes
1answer
300 views

What does “EquationalLogic`FindCounterexample[]” do?

I found the undocumented EquationalLogic`FindCounterexample[] by browsing the lists of available symbols, but I have no clue about its purpose. The name is ...
18
votes
3answers
1k views

Finding a function that fits the shape of an image

How can I find a function that fits the given shape of an image? Or instead extract a point set from the shape and then find an interpolating function fits the shape. An example image is attached.
18
votes
2answers
525 views

Most influential and/or disrupting features introduced with new versions of Mathematica

This is something that has been bugging me for ages. With every upgrade, Mathematica has added new functionalities and amended some of its bugs. In the process, though, some older functionality has ...
18
votes
3answers
1k views

Monotone, periodic 1d-interpolation with continuous 1st order derivative

Lately, we had this thread about interpolation where J. M. linked two interpolation methods. The background for my question is that I estimated a parameter in polar coordinates with dependence on the ...
17
votes
2answers
717 views

Schedule programing problem with integer linear programming

I know how to model this question on paper, but I don't know how doing it in Mathematica. Imagine , there is a university student who want to choose courses for this semester and he got the ...
15
votes
4answers
596 views

Exclude data from a list

Let's create some random sample data data = Table[{RandomReal[{-10, 10}], RandomReal[{-10, 10}]}, {i, 1, 300}]; Then we plot them using ...
14
votes
3answers
190 views

What does `: Hold[$IterationLimit]` mean?

In this answer, what does the : Hold[$IterationLimit] part of the following construct do? ...
13
votes
4answers
500 views

How to make a function with its own options as well as passing options to other functions [duplicate]

I have a function with many of its own options, but I would also like to pass options to subfunctions using the FilterRules function. Here's a simple example: ...
10
votes
4answers
1k views

Axis/Angle from rotation matrix

With r=RotationMatrix[a,{x,y,z}] I can compute a 3D rotation matrix from axis/angle representation. Given a 3D rotation matrix ...
31
votes
3answers
776 views

Is there a Mathematica API for the functions.wolfram site?

Is there a Mathematica API for the functions.wolfram site? If there's not, has anyone implemented a web scraper for it? For example it would be nice to be able to access ...
26
votes
7answers
961 views

Graphical representation of a moving sound source

Some explanation since I have got a specific and another more open-ended question: I used two microphones in a 90° arrangement (see picture below) to capture sound from a source moving around the room ...
21
votes
3answers
691 views

Computing polynomial eigenvalues in Mathematica

MATLAB offers a function polyeig for computing polynomial eigenvalues, which appear, for instance in quadratic eigenvalue problems (see here for some applications) such as: \begin{equation} ...
20
votes
1answer
520 views

How to visualize large graphs with directed edge bundling

I'm wondering if anyone has implemented edge bundled graph plotting? http://www.win.tue.nl/~dholten/papers/forcebundles_eurovis.pdf
19
votes
3answers
936 views

How to extract the edge from a set of points

I have an accumulation of points representing a body as you can see in the image below. From this data I want to generate a list of points or a curve, which is the envelope. The first idea was a ...
19
votes
1answer
812 views

Peirce's quincuncial projection

The Peirce quincuncial projection is the cartographic projection of a sphere onto a square. In short, I would like to see it implemented in Mathematica. Here is my code: ...
17
votes
2answers
789 views

How to measure segment length and branch angle

I am trying to measure segment length and branch angle or bifurcation angle between each pair of segments. My image after thinning looks like this: ...
17
votes
3answers
1k views

Creating diagrams for category theory

Lately I've been doing algebra and I have found myself drawing a bunch of diagrams when I attempt to solve a problem. Most of the diagrams are very simple so I thought, I bet I can do this in ...
16
votes
5answers
460 views

Plot a partition of the sphere given vertices of polygons

I saw in this question that Mathematica can draw spherical triangles. I guess something similar can be done to plot a spherical polygon. I am interested in something similar: I have a set of ...
16
votes
3answers
888 views

Approximating an ornamental curve

How do I go about approximating this ornamental curve? Note variable thickness typical in calligraphy. Handbook and Atlas of Curves by E.V. Shikin (1995) contains many directions, including curve ...
14
votes
0answers
1k 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 ...
14
votes
1answer
629 views

How do I remove Wolfram Branding in a CDF?

I have a Mathematica Enterprise License, which lets me export Pro-feature CDFs. One of the benefits is supposed to be removal of branding and full customization of UI. Does anyone know how to get that ...
12
votes
2answers
1k views

Image Processing: Isolating areas of an image with internal irregularity

I am trying to isolate each of the blue painted fingernails in the image. However, I am not sure what approach should be considered due to the white design on each nail interrupting the otherwise ...
11
votes
1answer
228 views

How can I detect if an image is in or out of focus?

I need to filter out bad (blurry or ) images from a set, with some sort of blur detector.
11
votes
3answers
917 views

How to implement a regular grammar?

What is the most simple, elegant way of implementing a rewrite-system defined as: $$ \begin{aligned} \Sigma &= \{a_1, a_2, a_3, ...\} \\ N &= \{A_1, A_2, A_3, ...\} \\ \{\alpha_1 , ...
28
votes
4answers
1k views

Filtering beat-to-beat heart rate data

From an experiment, I have a dataset of beat-to-beat heart rate data: a list of the time between each heart beat in [ms]. The data is measured using an infrared optic sensor at the finger tip. The ...
22
votes
2answers
1k views

Export to Google Spreadsheet with OAuthAuthentication

Context I'm trying to setup a connection between Mathematica and Google Docs. Specifically, I would like to be able to export data to a Google Spreadsheet (Note: if the spreadsheet is public it's ...
21
votes
4answers
804 views

How to partition a disk into individually spaced bricks?

What I want to do is in any way produce a picture that looks like this Given a set of words, how can I partition a disk into bricks for these words, such that it looks good? Here is my sucky ...
20
votes
4answers
675 views

How can I get the color of overlapping disks to be equal in any order?

When Graphics is used, necessarily the objects come in order. This affects which ones obscure others. When Opacity is not 1, it also affects the color. I would like the color of overlaps to depend ...
20
votes
15answers
1k views

How do I extract the middle element(s) of a given list?

How do I extract the middle element(s) of a given list? Here is some code that works, but seems a little too long: ...
20
votes
1answer
630 views

Can Enterprise Edition really encrypt code for distribution via CDF?

The Wolfram blog post: Using Mathematica Enterprise Edition to Create Professional Apps, Tools, and Reports makes the following statement (emphasis mine): Enterprise Edition allows you to create ...
20
votes
2answers
652 views

How to get shadows in Graphics3D?

It was a shock to me when I found that in Graphics3D a surface is always transparent to the light sources: ...
19
votes
1answer
498 views

Transform Root objects into Trigonometric expressions

Consider the Root objects roots = Table[Root[-1 + 27 #1^2 - 162 #1^4 + 243 #1^6 &, i],{i,1,6}] These can be expressed in terms trigonometric functions as ...
18
votes
1answer
1k views

Faster way to compute the distance from a point to a surface in 3D

I am trying to compute the shortest distance between a point and a triangle in 3D ...
18
votes
1answer
400 views

Unexpected behavior of confidence bands for data presenting two regions with uneven noise

Let's generate some noisy data with uneven noise. ...
18
votes
1answer
2k views

Vectorizing an image like “Trace Bitmap” in Inkscape

Lately, we had a nice question about artistic image vectorization which got very nice answers. As Szabolcs pointed out himself Since "true" vectorization performed by various specialized software ...
18
votes
3answers
1k views

Using Inset[..] to overlay a Graphics3D with its raster version

Preamble First let me explain the why. You can skip this and go directly to the question if want to answer it right away. We had more than one discussion about how to produce nice looking 3d plots ...
17
votes
3answers
1k views

Mathematica color schemes for the colorblind

Does Mathematica have a graphics option that makes plots intelligible for people with colorblindness?
17
votes
5answers
6k views

How to find the domain and range of a function with Mathematica?

I'm studying calculus and in some exercises I am asked to find the domain and range of a function. Does Mathematica have already a built-in function for this? I can imagine some ways of doing so, ...
15
votes
1answer
1k views

2D Heat equation: inconsistent boundary and initial conditions

I'm attempting to use NDSolve on a 2D boundary value problem with initial conditions. Upon running my code, I get the following message: "NDSolve::ibcinc: Warning: Boundary and initial conditions are ...
14
votes
1answer
561 views

Efficient code for tallying entries in very large lists

I am dealing with data sets containing tens of millions of (hashable) entries and simply using the Tally function to count the frequency of each unique list element ...
13
votes
1answer
644 views

Image Processing: Edge detection of the tumor on tomogram. Сalculation area of the tumor

The task is to identify the image region of the tumor. I try to use example from documentation centre: ...
13
votes
3answers
472 views

Visualizing directories

How do I plot the content of a directory and all its subdirectories into infinity using TreeForm? I've tried using a mix of ...
13
votes
1answer
1k views

Reference request for neural network programming in Mathematica

I'm looking for a good reference/book on programming neural networks in mathematica. I've been working through Freeman's "Simulating Neural Networks with Mathematica," but it is from 1994 so is quite ...
12
votes
2answers
3k views

FindRoot Domain restriction

I am solving a system of four non-linear equations in four variables using FindRoot. I have some sense of the relationship between the variables so I don't want Mathematica to do its computations in ...
7
votes
3answers
425 views

Mathematica style guide?

I encountered this site today https://code.google.com/p/google-styleguide/ regarding the programming style in some languages. What would be best programming practices in Mathematica, for small and ...
7
votes
2answers
1k views

Measuring execution time of code

How one can measure the execution time (time that is spent for code to finish) of a program in Mathematica? I understand that there are general timing functions (Timing, AbsoluteTiming, TimeUsed, ...

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