8.20.2 Greatest hits from previous weeks

8.20.2.1 $\LaTeX$ and Mathematica
8.20.2.2 How do I plot $x^2+y^2=1$ in 3D?
8.20.2.3 Generate a Unit Circle Trigonometry
8.20.2.4 Calling Correct Function for Plotting DiracDelta
8.20.2.5 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 $W$
8.20.2.6 What does # mean in Mathematica?
8.20.2.7 Plot data from txt file?
8.20.2.1 $\LaTeX$ 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 Score of 135
answered by Simon https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=34 Score of 46
8.20.2.2 How do I plot $x^2+y^2=1$ in 3D?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=10710

How would I plot $x^2+y^2=1$ in 3D (it would form a cylinder)? Since there is no $z$ in the equation, I can't solve for it and use  Plot3D . Or can I just put the ... 
[plotting]
 
asked by diracdeltafunk https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=2282 Score of 7
answered by Mark McClure https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=36 Score of 14
8.20.2.3 Generate a Unit Circle Trigonometry

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=2456

Struggling often with Trigonometry I would like to have some code to generate this Unit Circle Trigonometry. Would be of great help when I need to transform some data : 
[graphics] [trigonometry]
 
asked by 500 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=172 Score of 18
answered by Mark McClure https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=36 Score of 32
8.20.2.4 Calling Correct Function for Plotting DiracDelta

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=3506

I am wondering what is the correct function in Mathematica to plot the true impulse function, better known as the  DiracDelta[]  function. When using this inside of a ... 
[plotting] [functions]
 
asked by night owl https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=116 Score of 18
answered by Heike https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=46 Score of 20
8.20.2.5 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 8
answered by Alexei Boulbitch https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=788 Score of 15
8.20.2.6 What does # mean in Mathematica?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=19035

I asked Mathematica to compute the following 
 
 Solve[c (1-x)^2-x^(1/4) == 0, x] 
 
 
and it returned this: 
x = Root[#1^8 c^4 - 8 #1^7 c^4 + 28 #1^6 c^4 - 56 #1^5 c^4 ... 
[syntax] [core-language]
 
asked by ronanymous https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5730 Score of 44
answered by Dr. belisarius https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=193 Score of 75
8.20.2.7 Plot data from txt file?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=5910

I have data in file.txt which can be expressed by 20000x11 matrix. I do not want to import all of these data. How can I plot graph of the column 1 & column 4? 
[plotting] [import]
 
asked by Gokce https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1297 Score of 21
answered by user1066 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=106 Score of 24