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35
votes
1answer
896 views

DumpsterDoofus's captivating generative art

How can I render these beautiful images that DumpsterDoofus posted?
32
votes
2answers
6k views

Image Shadow Removal in Mathematica

The task is: Image shadow removal is an important topic in image processing. If you feel curious about it, you may take a look here, or just google for it image shadow removal There are also a ...
27
votes
2answers
2k views

Playing with Matrix falling code in Mathematica

I was trying to create a Matrix falling code image with Mathematica. Here is my code: ...
23
votes
4answers
3k views

How to create effect like Van Gogh's stroke brush?

I need to apply Van Gogh's stroke brush effect to a random image Take the following image as an example: Thank you so much if you could help!
17
votes
2answers
885 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. ...
14
votes
5answers
3k views

3D surface that looks like a virus

I have been recently using Mathematica for composing animations that are part of the supplementary information of my papers. I am currently trying to build an animation that involves a viral ...
14
votes
2answers
680 views

Convert spectral distribution to RGB color

Presume I have a spectrum as a function of wavelength (an example being the blackbody spectrum): I want to convert that to a single RGB color to display on-screen, i.e. the "color" of that object ...
14
votes
2answers
611 views

How to perform fuzzy lookup between lists?

I have two big lists with 10,000 lines each, with product names from different databases. They have a lot of common products (50%), but they are not typed in the same way. For example there is one ...
11
votes
4answers
755 views

List comprehension in Mathematica

Python supports a concept called "list comprehensions". Following is sample example ...
10
votes
3answers
840 views

Extract connected components from PNG image file and write to individual PNG files

Given the PNG image below with the three leaves in it, I'd like to extract each individual leaf and write it to its own PNG file, using Mathematica 9. Note that in the original image, the box bounding ...
7
votes
5answers
291 views

Making a table with elements like {10i+j, i, j}

Table[10i+j,{i,4},{j,3}] will generate a table that looks like this: {{11,12,13},{21,22,23},{31,32,33},{41,42,43}} I would like ...
7
votes
4answers
461 views

How to set Block local variables by code?

I need to create a user-defined Block function where the Block variables' values are defined by code. For example, imagine I ...
7
votes
3answers
345 views

Composition of mappings not working as expected

I have two functions $f,g:\mathbb{R}^2 \to \mathbb{R}^2$ and I define a third one $h:\mathbb{R}^2 \to \mathbb{R}^2$ as the composition $$h(x,y) = g(f(x,y))$$ I'm trying to get this function into ...
7
votes
1answer
603 views

How can this type of optical illusion be created in Mathematica?

I see these around the web and would like to make them in Mathematica. Combining them in an array is actually quite mesmerizing!
7
votes
1answer
256 views

How to generate nonperiodic tilings?

I need to generate nonperiodic tilings which are similar to the attached figure (kite-domino tiling). I was thinking the code is similar to the code for the Penrose tiling. However, that code is too ...
7
votes
1answer
6k views

Mathematica code for Bifurcation Diagram

At the moment I am trying to construct a bifurcation diagram of the iterative function $f(x)=$ $ax-1.1975x^3$. I've scoured the internet for pre-made bifurcation diagrams and found many (mostly of the ...
6
votes
2answers
663 views

Distribution of 10 points within a unit square

Related to some packing problems, following problem arose: Distribute 10 points within a square of sides 1, so that minimal distance between them is maximized. With the help of random simulation, or ...
5
votes
4answers
142 views

Functional way to Climb an Association Decision Tree

Associations are nice tool to create decision trees. Here is a toy example of how I'm starting to use it: ...
5
votes
2answers
298 views
4
votes
3answers
2k views

Lyapunov Exponent

Does anyone know a (simple) Mathematica code for computing the Lyuponov Exponent for the Rossler System? Thank you Rossler System: ...
4
votes
1answer
434 views

Tooltip for a ListPlot3D

I am getting stuck with figuring out how to use Tooltip for a ListPlot3D. Basically I have a list of values for the 3D plot (no ...
4
votes
3answers
123 views

Help with coding triangular nodes/elements

I'm trying to write a program where it will shoot out the triangle node numbers. For example, in the picture, if we choose to divide this triangle by 5 points, then the program will return out the ...
4
votes
1answer
481 views

How to implement Kemeny-Young method? (rank aggregation problem)

Prehistory I am trying to make some statistical analysis of some experimental data, arises from measurements made ​​on an ordinal scale. I faced with the problem of rank aggregation: to get from ...
3
votes
6answers
1k views

Getting a String from a list of strings

Is there a way to write down Mathematica with a string such as: {"M","a","t","h","e","m","a","t","i","c","a"}?
3
votes
3answers
158 views

Code for (a,b) with gcd(a,b)=1?

I am trying to make a big table that includes all ordered pairs (a,b) with a (1,2) (1,3) (2,3) (1,4) (3,4) (1,5) (2,5) (3,5) (4,5) (1,6) (5,6) ... Any ideas? Thanks!
3
votes
2answers
135 views

How to set up a simple Monte Carlo Simulation

there is a 1% chance that there will be a scattering event, if there is a scattering event the direction of scattering will be determined by a random sample of the custom[a_] function and if there is ...
3
votes
0answers
75 views

Is there a way to do a symbolic PLUR decomposition of a matrix?

I am looking for a way to achieve the PLUR decomposition of a maitrx, as given in this paper here. The equivalent syntax in Maple is: ...
2
votes
3answers
430 views

computing gaussian curvature

Can gaussian curvature K be computed from WolframAlpha or any other available Mathematica ...
2
votes
6answers
159 views

Setting the elements of a list equal to elements of a different list

A = {a,b,c,d,e,f,g,h} B = {1,2,3,4,5} How would I go about setting some of the elements in list A equal to the elements in list B and then the left over elements ...
2
votes
2answers
2k views

Faster way to convert real strings into numbers [duplicate]

Working with big files, I have to convert some numbers that are in string format into real MMA numbers. I know that I can use ToExpression but it's slow when ...
2
votes
1answer
1k views

How do I hide some of Input

I have a project with a friend, and we make some work in Mathematica. He is not very good at Mathematica, and I have made some long necessary formulas we need. I would like to show what I've made but ...
2
votes
1answer
54 views

Searching for symbol except within subexpressions with a particular Head

I would like to write a searcher like FreeQ that looks for a Symbol (or Head) in an ...
2
votes
1answer
98 views

How to make hollow Graphics3D?

I keep seeing a notebook to use of Mathematica as a 3D Printing tool (e.g.: this link). In the notebook on slide 8/11, we find these pictures: I'd like to design it as such that, but I don't ...
2
votes
0answers
64 views

Linearised Einstein equations

I need to compute the linearised Einstein Equations around a fixed metric $g_{μν}=\text{Minkowski metric} + h_{μν}$, which is not the flat metric. Does anyone know a Mathematica package or a review ...
1
vote
2answers
238 views

Sum over multiple indices

I would like to be able to enter the following left hand side of an identity. I can write the right hand side (i think) but am not sure about the left. The Left hand side is ...
1
vote
1answer
162 views

How to create a Poincare disk type kaleidoscope in Mathematica?

Creating a Kaleidoscope in Mathematica is not a new topic at all, examples can be found from the links like: Wolfram reference and Wolfram demonstrations. My question is how to create Poincare disk ...
1
vote
2answers
89 views

A cone being intercepted by a slanted plane

I have the 3d cone: Plot3D[-Sqrt[x^2 + y^2], {x, -20, 20}, {y, -20, 20}, Mesh -> None, BoxRatios -> {1, 1, 1}] I need a slanted plane intersecting it. ...
1
vote
1answer
185 views

How to implement the directed Barabasi-Albert algorithm in Mathematica?

Does anyone know how to implement an efficient version of the [directed Barabasi-Albert algorithm][1] in Mathematica that scales until hundred of thousands nodes? The directed network mechanism is ...
1
vote
1answer
134 views

Getting code from the Wolfram Demonstrations Projects [closed]

I saw from mathematica's website, there is a fantastic project about the 2D Riemann Sum. Riemann Sums For Functions of Two Variables I want to see the similar effect in my Mathematica (with ...
1
vote
2answers
93 views

DSolve bvlim error due to Boundary condition at infinity

I am solving an Ode using Mathematica that has boundary condition at infinity which is why Mathematica is showing error message. Please help to tackle this problem. ...
1
vote
3answers
84 views

How to distribute but skipping one level

I would like to write a Rule that mimics built-in Distribute[], but one that distributes ...
1
vote
0answers
44 views

Implementation of Lubaehevsky-Stillinger Algorithm to pack hard spheres

To generate a model of a polycrystalline material with specified grain size distribution (e.g coming from a Monte Carlo Grain Growth simulation) the Paper "Effects of grain size distribution and ...
1
vote
0answers
55 views

Solving System of Equations that are made up of variables

I have a few questions as to how to write some parts of this code. Say I chose, n=1 Then it creates two vectors ...
1
vote
0answers
72 views

Solving for a charge distribution from a dipole moment [closed]

I've been looking around but I haven't been able to find any way of solving this conceptually simple problem. In short I am trying to find the charge density in a dielectric in an external electric ...
0
votes
2answers
49 views

How to stop code from evaluating same thing twice?

I have this code for evaluating some fractions: ...
0
votes
1answer
505 views

Use de Casteljau algorithm to create Bezier Curve in Mathematica [closed]

Is anyone can tell me how to create Bezier Curve with given Bezier polygon and parameter t by using de Casteljau algorithm (not the Bezier function in Mathematica)in Mathematica code? Thanks a lot!
0
votes
1answer
78 views

Sum Over Multiple Indices part 2 [duplicate]

Recently I asked this question as I was trying to see how to write a particular Identity. I asked about how to write the following sum: ...
0
votes
2answers
71 views

How do I tell pattern searcher the order in which to search for patterns given in general form?

I have a really long sequence of Symbols inside a function, say nonCommute[a,b,c,e,e,f,g,b,i,j], and I am implementing a ...
0
votes
1answer
191 views

curve on the surface [closed]

I have a bezier polygon aa=Table[{i^2.5, 2*Sqrt[i]}, {i, 1, 5}],is anyone can give me a example in Mathematica code that how to create another iso parametric curve on this bezier surface?Display the ...
0
votes
1answer
44 views

Any code to add elements of a list to make a new list? [closed]

Is there any code built in to add the numbers in a list sequentially? For example, lets say I have a list B. B has 6 numbers like below. B={0,6,5,4,3,2} I ...