9.2.1 Top new questions this week

9.2.1.1 Optimize search for rational numbers on unit circle?
9.2.1.2 FEM doesn't output exactly the same solution for exactly the same code?
9.2.1.3 Compare values in two lists and assign new value to index if entries match
9.2.1.4 How to do integer interval arithmetic?
9.2.1.5 2D cross-section of ParametricPlot3D
9.2.1.6 How to Obtain Complete List of Properties
9.2.1.7 Most convenient way to visualize the internal structure of a three-dimensional manifold
9.2.1.1 Optimize search for rational numbers on unit circle?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=278250

Crossposted:https://community.wolfram.com/groups/-/m/t/2763509 
 
I'd like to classify rational numbers on a unit circle by the following property: number of digits in the denominator. It relates to an ... 
[performance-tuning] [diophantine-equations]
 
asked by Vitaliy Kaurov https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=13 Score of 18
answered by Henrik Schumacher https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=38178 Score of 18
9.2.1.2 FEM doesn't output exactly the same solution for exactly the same code?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=278227

Consider this toy example: 
... 
[differential-equations] [finite-element-method] [implementation-details]
 
asked by xzczd https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1871 Score of 12
answered by xzczd https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1871 Score of 10
9.2.1.3 Compare values in two lists and assign new value to index if entries match

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=278431

Assume I have two lists, for example the following: 
 list1 = {1, 2, 1, 3, 2}; 
list2 = {{1, a}, {3, c}, {2, b}}; 
 
I would like to compare each element of ... 
[list-manipulation]
 
asked by mrkhlavkalash https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=89925 Score of 9
answered by bmf https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=85558 Score of 11
9.2.1.4 How to do integer interval arithmetic?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=278243

How to calculate union, intersection and complement of integer intervals without actually generating all integers in the range and perform set-arithmetic ( Union , <... 
[sets] [intervals] [discrete]
 
asked by István Zachar https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=89 Score of 8
answered by rhermans https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=10397 Score of 2
9.2.1.5 2D cross-section of ParametricPlot3D

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=278408

Now I'm trying to get the two-dimensional cross-section from ParametricPlot3D, the details of this question are as follows 
As an example, here is a parametric equation: x=x(u,v)    y=y(u,v)     z=z(u,... 
[plotting] [parametric-functions]
 
asked by zhongwt https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=89873 Score of 7
answered by Greg Hurst https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=4346 Score of 11
9.2.1.6 How to Obtain Complete List of Properties

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=278409

I am working with Matrix Market matrices in Mathematica (specifically GEMAT12), and I saw from other posts that you call properties of a variable exemplified below: 
... 
[variable]
 
asked by Chloe https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=82544 Score of 7
answered by rhermans https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=10397 Score of 9
9.2.1.7 Most convenient way to visualize the internal structure of a three-dimensional manifold

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=278445

Let's say we have a 3D spherical shell specified by the command: 
 Regionplot3D[1/2<x^2+y^2+z^2<1,{x,-2,2},{y,-2,2},{z,-2,2},BoxRatios->Automatic] 
 
When ... 
[plotting] [graphics3d] [projection]
 
asked by dtn https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=67019 Score of 6
answered by Daniel Huber https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=46318 Score of 8