11.11.2 Greatest hits from previous weeks

11.11.2.1 How to make the digits of  go around in a spiral like this?
11.11.2.2 Plot, extract data to a file
11.11.2.3 How to tell Mathematica that certain variables are real/imaginary, integer-valued, etc
11.11.2.4 Help find a bright object on Mars!
11.11.2.5 Is it possible to export the equations from Mathematica to MATLAB?
11.11.2.6 Solving $L=\frac 3  2  \sqrt 4 \pi ^2 A^2+W^2 -\frac \sqrt 5 W \sqrt 4 \pi ^2 A^2+W^2 +6 \pi ^2 A^2+3 W^2   \sqrt 2  +\frac 3 W  2 $ for $W$
11.11.2.7 How to find integer solutions?
11.11.2.1 How to make the digits of  go around in a spiral like this?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=109982

Here is a start. 
 
 MapIndexed[Text[Reverse[First[RealDigits[Pi,10,252]]][[Tr@#2]],#]&, 
Table[{t Cos[t],t Sin[t]},{t,0,16Pi,0.2}]]//Graphics 
 
[graphics] [formatting] [generative-art]
 
asked by matrix42 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5379 Score of 62
answered by Martin Ender https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=2305 Score of 77
11.11.2.2 Plot, extract data to a file

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=19859

I need to save data that Mathematica uses inside the  Plot  command. The format that I would like to have is: 
 
 x1 y1 
x2 y2 
..... 
 
 
... 
[plotting] [export]
 
asked by molkee https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5097 Score of 37
answered by Mr.Wizard https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=121 Score of 55
11.11.2.3 How to tell Mathematica that certain variables are real/imaginary, integer-valued, etc

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=66273

I'm trying to expedite some quantum mechanical calculations (expectation values etc.) by running them through Mathematica. When I say, for example, 
... 
[functions] [complex] [assumptions] [variable-definitions]
 
asked by Matthew Brunetti https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=22304 Score of 56
answered by SquareOne https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=19960 Score of 41
11.11.2.4 Help find a bright object on Mars!

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=11819

In today's news, scientists found a bright object on one of Curiosity's photos (it's near the bottom of the picture below). It's a bit tricky to find - I actually spent quite some time staring at the ... 
[image-processing]
 
asked by Victor K. https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1351 Score of 210
answered by Niki Estner https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=242 Score of 271
11.11.2.5 Is it possible to export the equations from Mathematica to MATLAB?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=14035

Is it possible to export the output expressions from Mathematica computations (e.g., equations) in valid MATLAB syntax? 
[export] [matlab]
 
asked by Seyhmus Güngören https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=4256 Score of 47
answered by rm -rf https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5 Score of 51
11.11.2.6 Solving $L=\frac 3  2  \sqrt 4 \pi ^2 A^2+W^2 -\frac \sqrt 5 W \sqrt 4 \pi ^2 A^2+W^2 +6 \pi ^2 A^2+3 W^2   \sqrt 2  +\frac 3 W  2 $ for $W$

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=57763

When I solve the aforementioned equation for $W$ or $A$ on Mathematica I get a long and ugly equation in return, namely one of the solutions for $W$ is: (attempt to read at your own health) 
 
... 
[equation-solving] [functions] [approximation]
 
asked by J.D'Almbert https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=19257 Score of 7
answered by Alexei Boulbitch https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=788 Score of 15
11.11.2.7 How to find integer solutions?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=42359

Following is the equation: 
Need to solve for integer values of x,y when a,b lies between -1000 and 1000. 
Problem is to find the number of integer values of pair (x,y) that satisfy it. 
[equation-solving]
 
asked by Sahil Sareen https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=12396 Score of 2
answered by bill s https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1783 Score of 4