12.11.2 Greatest hits from previous weeks

12.11.2.1 Plotting Complex Quantity Functions
12.11.2.2 How do I get the inverse of a homogeneous transformation matrix?
12.11.2.3 How to find integer solutions?
12.11.2.4 How can I plot the direction field for a differential equation?
12.11.2.5 1 Plot, 2 Scale/Axis
12.11.2.6 Image processing: Floor plan - detecting rooms' borders (area) and room names' texts
12.11.2.7 How can I transpose x and y axis on a Plot?
12.11.2.1 Plotting Complex Quantity Functions

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=3458

Trying to plot with complex quantities seems not to work properly in what I want to accomplish. I would like to know if there is a general rule/way of plotting when you have complex counterparts in ... 
[plotting] [complex] [faq]
 
asked by night owl https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=116 Score of 42
answered by Artes https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=184 Score of 29
12.11.2.2 How do I get the inverse of a homogeneous transformation matrix?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=106257

I want to get the inverse of this homogeneous transformation matrix: 
 
 iab = { 
{1, 0, 0, 0}, 
{0, 0, -1, 0}, 
{0, 1, 0, 3}, 
{0, 0, 0, 1} 
} 
 
 
using the ... 
[matrix] [linear-algebra] [inverse] [geometric-transform] [rotation]
 
asked by andrestoga https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=37677 Score of 7
answered by march https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=29734 Score of 15
12.11.2.3 How to find integer solutions?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=42359

Following is the equation: 
Need to solve for integer values of x,y when a,b lies between -1000 and 1000. 
Problem is to find the number of integer values of pair (x,y) that satisfy it. 
[equation-solving]
 
asked by Sahil Sareen https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=12396 Score of 2
answered by bill s https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1783 Score of 4
12.11.2.4 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 Score of 40
answered by Peter Breitfeld https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=307 Score of 31
12.11.2.5 1 Plot, 2 Scale/Axis

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=627

I would like to plot those two datasets on top of each other. But they have very different range on the $y$ axis. How can I have two different axis? 
 
I found the following on the help menu but quite ... 
[plotting] [customization]
 
asked by 500 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=172 Score of 164
answered by ArgentoSapiens https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=92 Score of 165
12.11.2.6 Image processing: Floor plan - detecting rooms' borders (area) and room names' texts

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=19546

Here is a simple building floor plan. I would like to derive the rooms as (rectangular) components and the names of the rooms. This is very common representation of building floor plans. 
 
The problem 
 
... 
[image-processing]
 
asked by s.s.o https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=840 Score of 67
answered by Niki Estner https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=242 Score of 63
12.11.2.7 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