7.34.1 Top new questions this week

7.34.1.1 Getting rid of the horrible Times x in Mathematica 12.3
7.34.1.2 Definition of a ResourceFunction
7.34.1.3 Generating random sequence of integers with ordering constraints
7.34.1.4 Library for FEAST method is missing
7.34.1.5 Simplify radical expression (a + b - Sqrt[a^2 - b^2])/Sqrt[a + b]
7.34.1.6 How to visualize overtones in Mathematica?
7.34.1.7 Real-valued integral gives large imaginary part
7.34.1.1 Getting rid of the horrible Times x in Mathematica 12.3

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=256682

Revised question to reflect new issues pertinent to Mma 12.3 and that are unresolved by the linked question - this is NOT a DUPLICATE and should not be reflected as such 
 
As of Mathematica 12.3, if I ... 
[formatting] [notation]
 
asked by wolfies https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=898 16 votes
answered by Domen https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=75628 23 votes
7.34.1.2 Definition of a ResourceFunction

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=256787

There is a feature called  ResourceFunction  in Mathematica. For example you can color a string with rainbow style. 
https://resources.wolframcloud.com/... 
[functions] [documentation] [resourcefunction]
 
asked by imida k https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=34532 11 votes
answered by Domen https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=75628 13 votes
7.34.1.3 Generating random sequence of integers with ordering constraints

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=256836

I would like to write a Mathematica routine for generating random musical melodies that obey (some of) the constraints of traditional tonal harmony. For simplicity's sake, I'm interested only in ... 
[random] [sound] [modeling] [random-process]
 
asked by Kim Fierens https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5015 10 votes
answered by George Varnavides https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=41179 14 votes
7.34.1.4 Library for FEAST method is missing

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=256740

Mathematica (V 12.3.1, Native Mac M1 version) is not letting me use the FEAST method for solving eigenvalue problems. For example, 
... 
[linear-algebra] [eigenvalues] [mac-os-x] [system-limitations]
 
asked by user99x https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=82200 9 votes
answered by user99x https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=82200 8 votes
7.34.1.5 Simplify radical expression (a + b - Sqrt[a^2 - b^2])/Sqrt[a + b]

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=256864

I have the following expansions: 
$\frac{a+b-\sqrt{a^2-b^2}}{\sqrt{a+b}}$ and $a>b>0$ 
Obviously we can simplify it further by hand $\sqrt{a+b}-\sqrt{a-b}$, but Mathematica doesn't know how to ... 
[simplifying-expressions] [expression-manipulation] [algebraic-manipulation] [radicals]
 
asked by expression https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=7339 9 votes
answered by Akku14 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=34287 5 votes
7.34.1.6 How to visualize overtones in Mathematica?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=256655

I would like to visualize the difference in sounds extracted by different musical instruments, which is due to different overtones. In order to do this, I define the following samples: 
... 
[syntax] [fourier-analysis] [sound]
 
asked by John Taylor https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=41058 8 votes
answered by Bob Hanlon https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9362 9 votes
7.34.1.7 Real-valued integral gives large imaginary part

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=256849

I found a very strange result in  Integrate  command. I numerically integrated 
$$\int_{-1}^1  \int_{-1}^1 \frac{1}{|x|^{2/5}|y|^{3/10}|x-y|^{7/10}} dx dy.$$ 
... 
[numerical-integration]
 
asked by eigenvalue https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=77295 6 votes
answered by Akku14 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=34287 7 votes