11.44.1 Top new questions this week

11.44.1.1 How to write a `Query` that translates to multiple depth `MapAt`?
11.44.1.2 Self-intersecting polygons types and their area
11.44.1.3 Get a nice two-page embedding for a planar graph that contains a Hamiltonian cycle
11.44.1.4 Why is ListPointPlot3D extremely slow when plotting many points with per-point Style colors, and how can this be optimized?
11.44.1.5 NIntegrate convergence issues with high-order derivatives of an interpolated function
11.44.1.6 Calculating $\lim_ n\to\infty \frac 1  n \int_ 1 ^ \infty \frac \psi(x)-x  x^ 2   L_ n-1 ^ (2) (\log x) \, \mathrm d x$
11.44.1.7 $PrePrint for Print[] output
11.44.1.1 How to write a `Query` that translates to multiple depth `MapAt`?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=318328

I know that 
 Normal@Query[All,{1->f}] 
 
produces 
 
MapAt[f,{All,1}] 
 
But if I want to map at a particular position that is more than 1 level deep like: 
 
MapAt[f,{... 
[functional-style] [map] [query]
 
asked by user13892 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=13892 Score of 10
answered by WReach https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=142 Score of 11
11.44.1.2 Self-intersecting polygons types and their area

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=318317

Here we have two polygons - first of type "simple polygon" and second of type "polygon with holes". Everything makes sense and their area is computed correctly - the area of the ... 
[graphics] [geometry] [polygons]
 
asked by azerbajdzan https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=53172 Score of 7
answered by Domen https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=75628 Score of 4
11.44.1.3 Get a nice two-page embedding for a planar graph that contains a Hamiltonian cycle

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=318318

Im working with a planar graph (G) that has a Hamiltonian cycle. I want to draw a 2-page (book) embedding using a Hamiltonian cycle as the spine: 
Question: 
Put the Hamiltonian cycle of the plane ... 
[graphs-and-networks] [drawing]
                                                                                  

                                                                                  
 
asked by licheng https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=67902 Score of 5
answered by A. Kato https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=62063 Score of 8
11.44.1.4 Why is ListPointPlot3D extremely slow when plotting many points with per-point Style colors, and how can this be optimized?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=318311

I am generating a 3D band structure from a slab Hamiltonian and color-coding each eigenvalue by its IPR (defined from the corresponding eignvector, e.g., inverse participation ratio). The numerical ... 
[plotting] [performance-tuning] [style]
 
asked by liu han https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=95225 Score of 4
answered by Craig Carter https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=12461 Score of 7
11.44.1.5 NIntegrate convergence issues with high-order derivatives of an interpolated function

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=318331

I hope you are doing well. I am modeling a non-uniform beam in COMSOL Multiphysics (a finite element software) to obtain the first mode shape (vertical displacement as a function of the 
-position). ... 
[calculus-and-analysis] [numerical-integration] [finite-element-method] [interpolation]
 
asked by AaronTBM https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=115430 Score of 3
answered by Daniel Huber https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=46318 Score of 2
11.44.1.6 Calculating $\lim_ n\to\infty \frac 1  n \int_ 1 ^ \infty \frac \psi(x)-x  x^ 2   L_ n-1 ^ (2) (\log x) \, \mathrm d x$

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=318322

Let $\psi(x)=\sum_{n\leq x} \Lambda(n)$ be the weighted prime counting function/Chebyshev prime counting function. Using Mathematica, I am trying to evaluate the limit $$\lim_{n\to\infty}\frac{1}{n}\... 
[calculus-and-analysis] [special-functions] [number-theory] [prime-numbers]
 
asked by Max https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=91792 Score of 3
answered by Ulrich Neumann https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=53677 Score of 3
11.44.1.7 $PrePrint for Print[] output

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=318324

I have seen Mr.Wizard's solution for printing, e.g., in log base 2: 
 $PrePrint = # /. {Log[n_]/Log[2] :> Defer@Log2[n]} &; 
 
so that: 
... 
[formatting] [printing]
 
asked by Aharon Naiman https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=45626 Score of 3
answered by Michael E2 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=4999 Score of 5