10.27.1 Top new questions this week

10.27.1.1 VerificationTest leaks message?
10.27.1.2 Continuously vary tube radius of parametricPlot3D depending on distance from origin
10.27.1.3 Is there a program or built-in function that automatically separates variables for separable ODE?
10.27.1.4 Splitting an infinite sum in two parts results in a different result
10.27.1.5 Sampling orthogonal matrices with eigenvalues in given range?
10.27.1.6 Laplace transform on boundary condition of PDE results in D::ivar warning
10.27.1.7 Fourth order BVP partial differential equation
10.27.1.1 VerificationTest leaks message?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=306265

It seems that in certain cases  VerificationTest  will leak the messages generated when testing. 
For example, 
... 
[warning-messages] [debugging] [testing-and-verification]
 
asked by Lacia https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=86893 Score of 8
answered by Jason B. https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9490 Score of 8
10.27.1.2 Continuously vary tube radius of parametricPlot3D depending on distance from origin

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=306220

I'm doing a project trying to 3D print the stereographic projections of 4D shapes, and I need it so that the lines are thinner towards the origin for structural reasons. I've written functions to do ... 
[plotting] [graphics3d] [parametric-functions]
 
asked by Annabelle Snell https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=101003 Score of 6
answered by cvgmt https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=72111 Score of 7
10.27.1.3 Is there a program or built-in function that automatically separates variables for separable ODE?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=306171

Is there a program or built-in function that automatically separates variables for separable ODE? 
Note: The separable ODE referred to in this question is after variable substitution. Therefore, I hope ... 
[differential-equations]
                                                                                  

                                                                                  
 
asked by lotus2019 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=69835 Score of 6
answered by Nasser https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=70 Score of 8
10.27.1.4 Splitting an infinite sum in two parts results in a different result

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=306155

I am completely puzzled why splitting an infinite sum into two parts, one where the index $i$ is negative, and another where the index $i$ is not negative, leads to a different result. 
I posted the ... 
[bugs] [summation]
 
asked by ThomasJr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=86788 Score of 6
answered by Somos https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=61616 Score of 5
10.27.1.5 Sampling orthogonal matrices with eigenvalues in given range?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=306231

Can anyone see a nice way to sample real orthogonal matrices whose eigenvalues are approximately uniform within a given range on a complex unit circle? 
Below is a heuristic attempt to sample ... 
[probability-or-statistics]
 
asked by Yaroslav Bulatov https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=217 Score of 5
answered by A. Kato https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=62063 Score of 4
10.27.1.6 Laplace transform on boundary condition of PDE results in D::ivar warning

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=306302

Bug introduced in 14.0, persisting through 14.1. 
 
I am trying to convert my boundary condition to its Laplace transform as in this picture: 
 
I have tried to do so using the following code: 
... 
[differential-equations] [bugs] [integral-transforms]
 
asked by Ali Alabdrabulrasul https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=101120 Score of 4
answered by xzczd https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1871 Score of 3
10.27.1.7 Fourth order BVP partial differential equation

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=306249

I am trying to solve fourth order partial differential equation describing a fluid problem, by using Mathematica. The PDE is provided here as: 
$(1/4)f_{yyt} + H^4(ff_{yyy} - f_y f_{yy})=1/{H^2R(yf_{... 
[list-manipulation] [differential-equations] [numerical-integration] [finite-element-method] [boundary-condition-at-infinity]
 
asked by Muhammad Zeeshan khan https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=85324 Score of 4
answered by Alex Trounev https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=58388 Score of 7