7.33.2 Greatest hits from previous weeks

7.33.2.1 How to calculate scalar curvature, Ricci tensor and Christoffel symbols in Mathematica?
7.33.2.2 What does "Tag Integer is Protected" message mean?
7.33.2.3 How to create animated snowfall?
7.33.2.4 How can I plot the direction field for a differential equation?
7.33.2.5 Is it possible to export the equations from Mathematica to MATLAB?
7.33.2.6 Mathematica vs. Python - how does Mathematica compare to Python's scientific computing suite?
7.33.2.7 How to tell Mathematica that certain variables are real/imaginary, integer-valued, etc
7.33.2.1 How to calculate scalar curvature, Ricci tensor and Christoffel symbols in Mathematica?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=8895

I am seeking a convenient and effective way to calculate such geometric quantities. I've used packages like  TensoriaCalc , but they don't work at all time. Sometimes,... 
[symbolic] [physics] [tensors] [differential-geometry]
 
asked by Zoe Rowa https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1713 45 votes
answered by Yi-Zen Chu https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=4869 21 votes
7.33.2.2 What does "Tag Integer is Protected" message mean?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=6738

(Newbie question) 
 
For every function I define I get this message: 
When I close and reopen Mathematica, and re-enter the function definition, I don't get the message anymore. What does it mean? 
[warning-messages]
 
asked by stevenvh https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1450 12 votes
answered by J. M.'s torpor https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=50 14 votes
7.33.2.3 How to create animated snowfall?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=16881

Well, the title is self-explanatory. What sorts of snowfall can we generate using Mathematica? There are two options I suggest to consider: 
 
1) Continuous GIF animations with smallest possible number ... 
[dynamic] [random] [animation] [generative-art]
 
asked by faleichik https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=219 40 votes
answered by Simon Woods https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=862 54 votes
7.33.2.4 How can I plot the direction field for a differential equation?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=8841

I'd like to plot the graph of the direction field for a differential equation, to get a feel for it.  I'm a novice, right now, when it comes to plotting in Mathematica, so I'm hoping that someone can ... 
[plotting] [differential-equations]
 
asked by Matt Groff https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1735 36 votes
answered by Peter Breitfeld https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=307 28 votes
7.33.2.5 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 44 votes
answered by rm -rf https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5 49 votes
7.33.2.6 Mathematica vs. Python - how does Mathematica compare to Python's scientific computing suite?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=86058

Python's family of packages for scientific computing has matured rapidly. I can pretty much replicate all of Mathematica's functionalities, but with production level and open-source code using the ... 
[python] [system-performance]
 
asked by M.R. https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=403 60 votes
answered by Jens https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=245 38 votes
7.33.2.7 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 44 votes
answered by SquareOne https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=19960 27 votes