7.15.2 Greatest hits from previous weeks

7.15.2.1 How to graph a sphere with cartesian equations?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=24169

I'm new to Mathematica and I need to ask how to graph a sphere, cylinder, etc.. using cartesian equations. 
 
For example in sphere's case $x^2+y^2+z^2=1$ 
 
I tried to use ... 
[plotting]
 

asked by German https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=7145 8 votes

answered by Dr. belisarius https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=193 14 votes

7.15.2.2 Parallel and perpendicular symbol from Mathematica to $\LaTeX$

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=46538

I want to get the following expression from Mathematica to $\LaTeX$: 
 
\begin{bmatrix} 
E_{\parallel} \\ E_{\perp} 
\end{bmatrix} 
 
I have tried to use inbuilt 'symbol' character from the special ... 
[latex]
 

asked by Steve Hatcher https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=13314 20 votes

answered by Sjoerd C. de Vries https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=57 27 votes

7.15.2.3 How do I make a 3DPlot using cylindrical coordinates?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=19076

I'm trying to plot a function of the form $z(r,\theta)$ where $r \in [0, R]$ for a finite R, $\theta \in [0,2\pi[$, and z is the third coordinate, a function of the first two. I couldn't find anything ... 
[plotting]
 

asked by Learning is a mess https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5643 19 votes

answered by whuber https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=91 26 votes

7.15.2.4 What does Compile[] do to make code run so much faster?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=237175

I am looking for an ELI5 explanation of what Compile[] in the Wolfram Language context does and why it works so much faster than uncompiled code in certain cases. I am trying to get more insight to ... 
[compile]
 

asked by anon248 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=66458 20 votes

answered by chasly - supports Monicahttps://mathematica.stackexchange.com/landing/r/digest?cta=user&id=34024 9 votes

7.15.2.5 How do I clear all user defined symbols?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=850

Is there some way to do this other than going to  Evaluation -> Quit kernel  and firing a new one up? 
[variable-definitions] [symbols] [faq] [clear] [persistence]
 

asked by niklasfi https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=82 99 votes

answered by Artes https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=184 98 votes

7.15.2.6 Formatting legend text font

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=3433

I am using this code to plot a graph, and I am trying to make the font of the legend bigger. 
 
... 
[plotting] [legending] [labeling]
 

asked by Julia https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=525 20 votes

answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 25 votes

7.15.2.7 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 33 votes

answered by Peter Breitfeld https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=307 26 votes