6.2.2 Greatest hits from previous weeks

6.2.2.1 How to make Jacobian automatically in Mathematica

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=5790

If we have two vectors, $a$ and $b$, how can I make Jacobian matrix automatically in Mathematica? 
 
$$ a=\left( 
\begin{array}{c} 
x_1^3+2x_2^2 \\ 
3x_1^4+7x_2 
\end{array} 
\right);b=\left( 
... 
[vector-calculus]
 

asked by George Mills https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1012 37 votes

answered by Jens https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=245 49 votes

6.2.2.2 $\LaTeX$ and Mathematica

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=736

I quite often would like to draw graphics in my $\LaTeX$ documents using Mathematica. I have encountered three problems. I would like to know if there are any workarounds to these problems 
 
I would  ... 
[graphics] [export] [latex]
 

asked by Thomas Rot https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=227 124 votes

answered by Simon https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=34 45 votes

6.2.2.3 Where can I find examples of good Mathematica programming practice?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=18

I consider myself a pretty good Mathematica programmer, but I'm always looking out for ways to either improve my way of doing things in Mathematica, or to see if there's something nifty that I haven't  ... 
[reference-request] [programming]
 

asked by J. M.'s technical difficultieshttps://mathematica.stackexchange.com/landing/r/digest?cta=user&id=50 536 votes

answered by faysou https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=66 473 votes

6.2.2.4 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 29 votes

answered by Peter Breitfeld https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=307 24 votes

6.2.2.5 Mathematica command that allows it to read my intentions

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=194384

In version 2.0 of Mathematica there was a command, ReadProgrammerIntentions[ ] which allowed it rapidly compose code that could solve problems simple to complex, based on my requirements. Understand  ... 
[machine-learning] [date-and-time] [neural-networks]
 

asked by MikeY https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=47314 52 votes

answered by MarcoB https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=27951 38 votes

6.2.2.6 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 18 votes

answered by Sjoerd C. de Vries https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=57 25 votes

6.2.2.7 Is there any algorithm that runs faster in Mathematica than in C or Fortran?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=208045

I'm just curious. My friend just told me that Mathematica is mostly for symbolic calculation and not efficient for Numerical computations. He told me that's the reason most of the people don't use  ... 
[performance-tuning] [function-construction]
 

asked by Gummala Navneeth https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=66938 44 votes

answered by Szabolcs https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=12 73 votes