1.3.2 Greatest hits from previous weeks

1.3.2.1 What is the equation to plot a vertical line?
1.3.2.2 How do I identify the source of a "Tag times protected" error?
1.3.2.3 How can I draw the Olympic rings with Mathematica?
1.3.2.4 What does # mean in Mathematica?
1.3.2.5 Finding Limits in several variables
1.3.2.6 How to calculate contour integrals with Mathematica?
1.3.2.7 How to manipulate 2D plots?
1.3.2.1 What is the equation to plot a vertical line?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=59476

Please help. Trying to find area between three curves, e^-x, x = 2, y = 1. Can’t find out how to plot x = 2. Don’t want to use ...

asked by Cory https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=19717 6 votes

1.3.2.2 How do I identify the source of a "Tag times protected" error?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=11982

I have some code that looks like

Table[ 
    a = 1; 
    b = {2, 3} 
    c = i;, 
    {i, 2} 
]

which gives an error: Set::write: Tag Times in c {2,3} is Protected....

asked by dearN https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=204 30 votes

answered by Mr.Wizard https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=121 36 votes

1.3.2.3 How can I draw the Olympic rings with Mathematica?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=8885

How can I draw the 5 interlocking Olympic rings with Mathematica? (SVG version)

Edit

Hard choice, but some pretty cool answers here. I didn’t have 3D answers in mind when I posted the question, but ...

asked by Mike Honeychurch https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=77 44 votes

answered by cormullion https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=61 23 votes

1.3.2.4 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 ...

asked by ronanymous https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5730 43 votes

answered by Dr. belisarius https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=193 71 votes

1.3.2.5 Finding Limits in several variables

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=21544

Is there a way to find a limit of a multivariable function, like

\[\lim _{(x,y)\to (0,0)} f(x,y)\]
with Mathematica?

When \(f\) is continuous, we can use

\[\lim _{(x,y)\to (0,0)} f(x,y)=\lim _{(x,0)}\]
...

asked by Dominic Michaelis https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5899 31 votes

answered by whuber https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=91 42 votes

1.3.2.6 How to calculate contour integrals with Mathematica?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=34073

How to calculate the integral of \(\frac {1}{\sqrt {4 z^2 + 4 z + 3}}\) over the unit circle counterclockwise for each branch of the integrand?

asked by user64494 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=7152 42 votes

answered by Artes https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=184 64 votes

1.3.2.7 How to manipulate 2D plots?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=7142

When it comes to visual analysis, large datasets or data with intricate internal details often makes plotting in 2D useless, as the outcome is either just a fraction of the full dataset, or no details ...

asked by István Zachar https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=89 137 votes

answered by István Zachar https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=184 155 votes