11.17.3 Can you answer these questions?

11.17.3.1 Seeking Mathematica experts for collaboration
11.17.3.2 Getting Series coefficients of an expression involving r-Lambert function
11.17.3.3 Changing the sequence of variables in the `Reduce` makes it impossible to solve inequalities (or a system of inequalities)
11.17.3.1 Seeking Mathematica experts for collaboration

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=312657

I have developed a Mathematica prototype to simulate a physical system, but I have reached the limits of my expertise in tuning its performance and overall design. The code includes many compiled ... 
[performance-tuning]
 
asked by John Taylor https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=41058 Score of 1
11.17.3.2 Getting Series coefficients of an expression involving r-Lambert function

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=312627

I'm interested in  g[n] , the $n$th moment of the sequence with the following generating function for $a=1/2,1,3/2$ 
... 
[probability-or-statistics]
 
asked by Yaroslav Bulatov https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=217 Score of 3
11.17.3.3 Changing the sequence of variables in the `Reduce` makes it impossible to solve inequalities (or a system of inequalities)

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=312670

Take the inequality $-\sin(x-z)+\sin(y-z)>0$ 
When I set the order of the variables $x,y,z$, Mathematica finds a solution: 
... 
[bugs] [inequalities] [letter-makes-difference]
 
asked by ayr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=67019 Score of 1