7.22.1 Top new questions this week

7.22.1.1 very simple but unexpected aspect of Function[ ]
7.22.1.2 OptionValue doesn't work if a local variable has the same name as the function itself
7.22.1.3 Defining mesh size for NDSolve
7.22.1.4 3D mouse compatibility with Mathematica 12
7.22.1.5 Group terms in a large expression based on their minimum variable dependencies
7.22.1.6 Airy function zeros, conflict (error?) between Wolfram Functions vs. Mathematica
7.22.1.7 Mesh refinement along grain boundaries
7.22.1.1 very simple but unexpected aspect of Function[ ]

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=250254

I've always thought 
 (2#+1)& 
 
and 
 Function[x,2x+1] 
 
are interchangeable in common sense. But, 
... 
[functions] [function-construction] [variable-definitions] [built-in-symbols]
 
asked by imida k https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=34532 7 votes
answered by Lukas Lang https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=36508 13 votes
7.22.1.2 OptionValue doesn't work if a local variable has the same name as the function itself

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=250205

The following innocent-looking code results in error. 
... 
[options] [scoping]
 
asked by felix https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=73581 7 votes
answered by Leonid Shifrin https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=81 11 votes
7.22.1.3 Defining mesh size for NDSolve

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=250264

I want to see the effect of mesh size on the solution curves while simulating convection-diffusion - point sink via NDSolve FEM. 
In the following code (ref also related to this post): 
I'd like to know ... 
[differential-equations] [numerical-integration] [interpolation] [finite-element-method] [mesh]
 
asked by Natasha https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=58343 6 votes
answered by Tim Laska https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=61809 8 votes
7.22.1.4 3D mouse compatibility with Mathematica 12

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=250285

I am interested in a purchasing a 3D mouse to navigate 3d Mathematica graphics.  I am interested in the Spacemouse Wireless (by 3Dconnexion) found here: 
https://3dconnexion.com/us/product/spacemouse-... 
[graphics3d] [compatibility] [controller]
 
asked by Michael McCain https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=33996 6 votes
7.22.1.5 Group terms in a large expression based on their minimum variable dependencies

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=250391

Suppose I have a very large expression,  myEq[x1,x2,x3,x4]  in four variables,  x1 ,  x2 , ... 
[algebra]
 
asked by David G. Stork https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9735 4 votes
answered by Lukas Lang https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=36508 1 vote
7.22.1.6 Airy function zeros, conflict (error?) between Wolfram Functions vs. Mathematica

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=250406

According to functions.wolfram.com, the zeros of the Airy function $\operatorname{Ai}(z)$ occur at $z_k=f\left(\tfrac{3\pi}{8}(4k-1)\right)$ for $k\in \mathbb{N}$ where 
 
$f(d)=-d^{2/3} \left(1 + \frac{... 
[equation-solving] [numerics] [special-functions] [precision-and-accuracy]
 
asked by user47363 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=80814 4 votes
answered by J. M.'s torpor https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=50 5 votes
7.22.1.7 Mesh refinement along grain boundaries

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=250363

I have again a mesh related question. I want to do simulations on a microstructure and therefore I have to mesh it. That works fine, but the refinement of the grain boundaries does not work and let &... 
[finite-element-method] [mesh] [mesh-connectivity]
 
asked by Max https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=68812 4 votes
answered by Tim Laska https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=61809 1 vote