9.1.3 Can you answer these questions?

9.1.3.1 how to understand the locality of variables in Mathematica

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=278007

(in the first i should say may be the title is not very accurate) 
how to understand case like the following: 
... 
[replacement] [variable] [rule]
 

asked by Aerterliusi https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=89613 Score of 2

9.1.3.2 How to convert this Root expression in to a normal algebraic form?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=278052

I need to convert this root expression in to a normal form 
... 
[simplifying-expressions]
 

asked by Littlewood https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=51052 Score of 1

9.1.3.3 How to plot root curves from topological changing curves?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=278064

1. Raw data: 
I have a nested list of data (~120M) in the following form: 
... 
[plotting] [list-manipulation]
 

asked by jsxs https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=40024 Score of 2