7.36.3 Can you answer these questions?

7.36.3.1 How to separate these circle based on their pixels mean intensity?
7.36.3.2 Computing Jacobians and Hessians directly for IPOPT optimizer
7.36.3.3 NdSolveValue Freeze sensitive to initial condition
7.36.3.1 How to separate these circle based on their pixels mean intensity?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=257343

I have this image I want to separate green circles from yellow circle in two different images whiteout changing the pixel intensity information. I used the mean intensity 
... 
[image-processing] [image] [filtering] [binary] [microscopy]
 
asked by Del https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=80124 2 votes
answered by Daniel Huber https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=46318 0 votes
7.36.3.2 Computing Jacobians and Hessians directly for IPOPT optimizer

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=257403

I've got a complicated expression for my constraint function $g(x)$, too complicated to let Mathematica compute the derivatives symbolically. By forcing only numeric inputs, IPOPT does (it appears) an ... 
[mathematical-optimization]
                                                                                  

                                                                                  
 
asked by MikeY https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=47314 1 vote
7.36.3.3 NdSolveValue Freeze sensitive to initial condition

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=257298

I am trying to solve the following system of non-linear differential equations: 
... 
[differential-equations] [numerical-integration] [nonlinear] [debugging] [infinite-loop]
 
asked by Andrei https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=82434 2 votes
answered by bbgodfrey https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1063 0 votes