6.31.1 Top new questions this week

6.31.1.1 Find the equidistance curve between two curves
6.31.1.2 Confused by results of FunctionDomain
6.31.1.3 Cannot reproduce well-known summation result
6.31.1.4 Is there a way to get tooltip for parts of a string?
6.31.1.5 Nice use case for symbolic tensors?
6.31.1.6 Drawing hollow disks in 3D with an sphere in center and small spheres on the rings
6.31.1.7 Solve`DirInf[]  Meaningful value or just a bug?
6.31.1.1 Find the equidistance curve between two curves

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=235971

I have three function $f(x)=x^x$, $g(x)=\ln(x)^{\ln(x)}$, $h(x)=\ln(x)^2$ and I want to find (numerically) $C$ the center of the circle tangent to the three curves. 
 
I think that one way is to find ... 
[equation-solving] [mathematical-optimization] [intersection] [distance]
 
asked by Domenico Modica https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=76121 14 votes
answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 14 votes
6.31.1.2 Confused by results of FunctionDomain

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=236138

Why does Mathematica give me the function domain of $$f(x)=(2x-3)^{\frac{1}{5}}-(2x+1)^{\frac{1}{5}}-(x - 3)^{\frac{1}{5}}$$ as $x\geq3$? 
I used this command: 
... 
[calculus-and-analysis]
 
asked by Ramez Hindi https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=76160 7 votes
answered by Roderic https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=76085 8 votes
6.31.1.3 Cannot reproduce well-known summation result

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=236149

Bug introduced in 4.2 or 5.0, persisting through 12.2.0. 
 
Note: this is a repost of my OP on math.SE. I am posting it here because multiple users with different Mathematica versions have given me the ... 
[bugs] [summation]
 
asked by Klangen https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=49819 7 votes
answered by Bob Hanlon https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9362 3 votes
6.31.1.4 Is there a way to get tooltip for parts of a string?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=235911

Is there a way to get the tooltip to appear for parts of a string? 
... 
[string-manipulation] [dataset]
 
asked by user13892 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=13892 7 votes
answered by kglr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=125 9 votes
6.31.1.5 Nice use case for symbolic tensors?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=236188

I come from before the times of symbolic tensors in Mathematica, and am used to working with concrete tensors and custom commands to contract them using Transpose, Dot, etc. 
I recently realized that ... 
[symbolic] [tensors]
 
asked by Stijn https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=69486 6 votes
answered by jose https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=10552 2 votes
6.31.1.6 Drawing hollow disks in 3D with an sphere in center and small spheres on the rings

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=236161

I was trying to draw the following logo of an atom using Mathematica, but I could only figure out how to draw intersecting ellipses, not a nice logo like below. Do you have any idea? And is ... 
[plotting] [graphics] [graphics3d] [drawing]
 
asked by Saeid https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=35814 6 votes
answered by Michael E2 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=4999 7 votes
6.31.1.7 Solve`DirInf[]  Meaningful value or just a bug?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=236077

Bug introduced in 4.1 or earlier and persisting through 12.2.0. or later 
 
To the problem below, I get four independent, incomplete solutions, three in terms of ... 
[differential-equations] [equation-solving] [bugs] [special-functions]
 
asked by Michael E2 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=4999 6 votes
answered by Akku14 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=34287 0 votes