4.6 Tuesday, November 14, 2017

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Top new questions this week: 
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[Drawing Clifford Attractors in Mathematica] https://mathematica.stackexchange.com/questions/159668/drawing-clifford-attractors-in-mathematica

I came upon the "Clifford Attractor" today, which are equations of the form: \[x_{n+1}=\sin (a\ y_n) + c \cos (x_n)\] \[y_{n+1}=\sin (b\ x_n) + d \cos (y_n)\]

They create some incredible images by ...

- asked by TreFox (24 votes), answered by Szabolcs (32 votes)

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[Mismatch between Mathematica and COMSOL in 3D FEM problem] https://mathematica.stackexchange.com/questions/159506/mismatch-between-mathematica-and-comsol-in-3d-fem-problem

I would like to solve an advection-diffusion problem on a torus domain. There are three Dirichlet conditions: One at the inlet (concentration \(c=0\)), one at the outlet (\(c=0.5\)) and one at the wall ...

- asked by Alexander Erlich (16 votes)

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[Unexpected behaviors in built-in functions] https://mathematica.stackexchange.com/questions/159895/unexpected-behaviors-in-built-in-functions

Existence of this topic is discussed in this mathematica.meta post.

I’m sure I am not the only non-beginner in WL who from time to time finds themselves not being able to predict an outcome of a ...

- asked by Kuba (14 votes), answered by Kuba (6 votes)

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[How to create a faded image using an existing image file] https://mathematica.stackexchange.com/questions/159662/how-to-create-a-faded-image-using-an-existing-image-file

The question is simple:

How can I take an image of a perfect stamp (load an image file) such as

and make it look old, worn, and faded, with missing arbitrary small bits, like the following stamp

...

- asked by Vaggelis_Z (12 votes), answered by nikie (27 votes)

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[Building a Noisy Function] https://mathematica.stackexchange.com/questions/159614/building-a-noisy-function

Here’s a nice function with a nice plot:

f[t_] := Exp[-Abs[t]] Sin[t]; 
Plot[f[t], {t, -10, 10}, PlotRange -> All]

What I would like to do is to make it noisy... to add something to f[t] so ...

- asked by bill s (10 votes), answered by David G. Stork (9 votes)

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[Inaccurate (non-smooth) boundary of the mesh generated by ToElementMesh] https://mathematica.stackexchange.com/questions/159775/inaccurate-non-smooth-boundary-of-the-mesh-generated-by-toelementmesh

I try to generate a mesh over a region, which has a wavy boundary at its bottom and needs very fine mesh around the bottom.

However, the generated mesh boundary is not as smooth as the specified one. ...

- asked by Wilhelm (8 votes), answered by user21 (4 votes)

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[remove transparency of background Image] https://mathematica.stackexchange.com/questions/159837/remove-transparency-of-background-image

I have the following image:

As you can see the background is kind of white-ish. Now my question is: How can I remove this transperancy of the background image ?

- asked by totyped (8 votes), answered by Coolwater (10 votes)

================================== Greatest hits from previous weeks: ==================================

[Creating Mathematica packages] https://mathematica.stackexchange.com/questions/29324/creating-mathematica-packages

I’m building a package to help me write packages and their documentation. In this post I explained how to make a package and its documentation. In the answer I provided I describe how to build a very ...

- asked by jmlopez (91 votes), answered by Leonid Shifrin (122 votes)

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[Difference between != and =!=] https://mathematica.stackexchange.com/questions/153694/difference-between-and

I (think I) understand the difference between == (semantic) and === (syntactic). So when comparing != and =!= I was expecting a similar difference. So can anyone explain why the third line in this ...

- asked by GambitSquared (6 votes), answered by John Joseph M. Carrasco (12 votes)

================================== Can you answer these? ==================================

[On comparable hardware, is Mathematica known to perform better in one operating system over the others?] https://mathematica.stackexchange.com/questions/159699/on-comparable-hardware-is-mathematica-known-to-perform-better-in-one-operating

Have any benchmarks been published by Wolfram Research to compare the performance of Mathematica in the major operating systems (Windows 10, Linux, MacOS)? If not, has anyone here performed such ...

- asked by Shredderroy (7 votes)

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[Adjusting opacity in map overlays] https://mathematica.stackexchange.com/questions/159843/adjusting-opacity-in-map-overlays

I am currently working with rainfall data from hurricane Harvey in order to better understand how to allocate resources in the event of another disaster. I want to accomplish a few things given this ...

- asked by Harrison Whorf (3 votes)

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[how to count or extract Cases out of list of association that matches pattern] https://mathematica.stackexchange.com/questions/159783/how-to-count-or-extract-cases-out-of-list-of-association-that-matches-pattern

I have list of associations

lr1 = {<|a -> {0,0}, b -> "TRUE"|>, <|b -> "FALSE", a -> {0,1}|>, <|a -> {1,0}, b -> "FALSE"|>, <|b -> "TRUE", a ->  ...

- asked by Dragutin (4 votes)