8.38.2 Greatest hits from previous weeks

8.38.2.1 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 65

answered by Niki Estner https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=242 Score of 60

8.38.2.2 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

8.38.2.3 Finding unit tangent, normal, and binormal vectors for a given r(t)

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=18598

For my Calc III class, I need to find $T(t), N(t)$, and $B(t)$ for $t=1, 2$, and $-1$, given $r(t)=\{t,t^2,t^3\}$. 
 
I've got Mathematica, but I've never used it before and I'm not sure how to coerce ... 
[equation-solving] [calculus-and-analysis] [geometry] [vector-calculus] [homework]
 

asked by a98 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5605 Score of 32

answered by Artes https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=184 Score of 47

8.38.2.4 Assign the results from a Solve to variable(s)

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=6669

I understand Mathematica can't assign the results of a Solve to the unknowns because there may be more than 1 solution. How can I assign the 4 values of following result to variables? 
... 
[equation-solving] [assignment] [faq]
 

asked by stevenvh https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1450 Score of 60

answered by Artes https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=184 Score of 36

8.38.2.5 Extract real part of a complex expression better than Re does

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=3306

I have a complex expression with real positive variables only. 
 
Mathematica Input Style: 
 
... 
[symbolic] [trigonometry]
 

asked by max https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=796 Score of 38

answered by nixeagle https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=814 Score of 58

8.38.2.6 How can I create an empty JSON object?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=50727

For creating non-empty object, I use following syntax 
 
 ExportString[{"key" -> "value"}, "JSON"] 
(*{"key" : "value"}*) 
 
 
But how can I create an empty object? ... 
[export] [conversion] [json-format]
 

asked by molekyla777 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=11981 Score of 10

answered by jkuczm https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=14303 Score of 11

8.38.2.7 Even Fibonacci numbers

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=37266

Today, I found the Euler Project. Problem #2 is 
 
Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be: 
... 
[number-theory] [project-euler]
 

asked by xyz https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9627 Score of 34

answered by rcollyer https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=52 Score of 47