11.40.2 Greatest hits from previous weeks

11.40.2.1 How can I transpose x and y axis on a Plot?
11.40.2.2 Mathematica code for Bifurcation Diagram
11.40.2.3 Elegant operations on matrix rows and columns
11.40.2.4 Calculating the normalization constant for a wavefunction
11.40.2.5 How can I plot a graph of an integral?
11.40.2.6 Creating a table/Matrix during a For loop
11.40.2.7 Finding Limits in several variables
11.40.2.1 How can I transpose x and y axis on a Plot?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=18655

This question has appeared in various forms online, but I have not yet seen a complete answer, so I am posting it here. 
 
More specifically, suppose I have a function 
 
... 
[plotting] [graphics]
 
asked by merlin2011 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5619 Score of 20
11.40.2.2 Mathematica code for Bifurcation Diagram

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=13277

At the moment I am trying to construct a bifurcation diagram of the iterative function $f(x)=$ $ax-1.1975x^3$. I've scoured the internet for pre-made bifurcation diagrams and found many (mostly of the ... 
[plotting] [graphics] [code-request]
 
asked by Mel https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=3249 Score of 33
answered by Mark McClure https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=36 Score of 59
11.40.2.3 Elegant operations on matrix rows and columns

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=3069

Question 
 
The Mathematica tutorial has a section 'Basic Matrix Operations', describing operations like transpose, inverse and determinant. These operations all work on entire matrices. I am missing a ... 
[matrix] [list-manipulation] [faq]
 
asked by sjdh https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=515 Score of 208
answered by Mr.Wizard https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=121 Score of 70
11.40.2.4 Calculating the normalization constant for a wavefunction

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=99248

How can I compute the normalization constant for a quantum mechanics wave-function, like $\Psi(x) = N \exp(-\lambda x^2/2)$ by using Mathematica? (The normalization constant is $N$). 
[physics]
 
asked by infiniteNOP https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=35524 Score of 2
answered by Jason B. https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9490 Score of 5
11.40.2.5 How can I plot a graph of an integral?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=78451

I want to plot the following function: 
 
$$\int \left(\frac{\Gamma (x+1)}{2}-\frac{\Gamma (x-1)}{2}\right) \, dx$$ 
[plotting]
 
asked by Anixx https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=651 Score of 5
answered by k_v https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=24727 Score of 11
11.40.2.6 Creating a table/Matrix during a For loop

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=2930

I have a  For  loop (with  i  as a counter), which calculates different values ( y1 , ... 
[matrix]
 
asked by Solarboy https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=727 Score of 12
answered by Mr.Wizard https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=121 Score of 16
11.40.2.7 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)\... 
[functions] [calculus-and-analysis]
 
asked by Dominic Michaelis https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5899 Score of 35
answered by whuber https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=91 Score of 44