10.31.3 Can you answer these questions?

10.31.3.1 How to derive this vector analysis equation?
10.31.3.2 Replacement of strings within lists
10.31.3.3 Poincare section using Hamiltonian formalism
10.31.3.1 How to derive this vector analysis equation?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=306920

How to use mathematica to derive this vector equation: 
\begin{equation} 
\nabla \times (\mathbf{A} \times \mathbf{B}) = (\mathbf{B} \cdot \nabla) \mathbf{A} - (\mathbf{A} \cdot \nabla) \mathbf{B} + \... 
[simplifying-expressions] [vector-calculus]
 
asked by Toboraton https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=101790 Score of 1
answered by Roland F https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=92018 Score of 0
10.31.3.2 Replacement of strings within lists

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=306948

i have a string list: 
 lis = {"a",{"b","c"},"d"} 
 
...and would like to replace "c" with "Q", to give 
<... 
[string-manipulation]
 
asked by Suite401 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=42475 Score of 1
10.31.3.3 Poincare section using Hamiltonian formalism

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=306982

I'm trying to plot Poincaré surface of sections, using Hamiltonian formalism, for a system with 3 degrees of freedom. I have written a code for this. The code provides results for the integration of ... 
[differential-equations] [numerical-integration] [physics] [nonlinear] [sow-reap]
 
asked by MMS https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=63380 Score of 1