8.13.2 Greatest hits from previous weeks

8.13.2.1 How to manipulate 2D plots?
8.13.2.2 How to perform a multi-peak fitting?
8.13.2.3 Image processing: Floor plan - detecting rooms' borders (area) and room names' texts
8.13.2.4 Plotting the frequency spectrum of a data series using Fourier
8.13.2.5 How to generate a random snowflake
8.13.2.6 Multivariable Taylor expansion does not work as expected
8.13.2.7 Finding unit tangent, normal, and binormal vectors for a given r(t)
8.13.2.1 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 ... 
[plotting] [graphics] [dynamic] [gui-construction]
 
asked by István Zachar https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=89 Score of 141
answered by István Zachar https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=89 Score of 160
8.13.2.2 How to perform a multi-peak fitting?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=26336

I am wondering how to implement the multi-peak detecting and fitting in Mathematica. Following is an example of fitting the data using three peaks (such that the data ~ peak1 + peak2 + peak3). 
The ... 
[fitting] [data] [peak-detection]
 
asked by Everett You https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1389 Score of 56
answered by Silvia https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=17 Score of 55
8.13.2.3 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
8.13.2.4 Plotting the frequency spectrum of a data series using Fourier

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=18082

 testData = Table[N@Sin[500 x], {x, 0, 100}]; 
ListLinePlot[Abs[Fourier[testData]], PlotRange -> Full] 
 
 
Gives me 
Which I do not expect because the Fourier ... 
[fourier-analysis]
 
asked by C. E. https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=731 Score of 14
answered by KennyColnago https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=3246 Score of 16
8.13.2.5 How to generate a random snowflake

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=39361

'Tis the season... 
And it's about time I posed my first question on Mathematica Stack Exchange. 
So, here's an holiday quest for you Graphics (and P-Chem?) gurus. 
 
What is your best code for generating ... 
[graphics] [random] [simulation] [generative-art]
 
asked by Peltio https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=6745 Score of 145
answered by Silvia https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=17 Score of 183
8.13.2.6 Multivariable Taylor expansion does not work as expected

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=15023

The basic multivariable Taylor expansion formula around a point is as follows: 
 
$$ 
f(\mathbf r + \mathbf a) = f(\mathbf r) + (\mathbf a \cdot \nabla )f(\mathbf r) + \frac{1}{2!}(\mathbf a \cdot \nabla)... 
[calculus-and-analysis] [series-expansion]
 
asked by matheorem https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=4742 Score of 71
answered by Jens https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=245 Score of 78
8.13.2.7 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