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Operations research, linear programming, control theory, systems theory, optimal control, game theory

2 votes
1 answer
71 views

(A)periodicity and (In)dependence on the boundary condition for optimization problem related...

The question is pair to MO117505 and translates some problem on error-correction codes to similar problem about differential operators. (See also If “force” is periodic does it imply “velocity” is pe …
Alexander Chervov's user avatar
3 votes
1 answer
257 views

If "force" is periodic does it imply "velocity" is periodic ? (or decoding tail-bited conv. ...

I'll try to translate certain problem about convolutional codes to more common language of ODE, hope my translation is correct, but welcome to criticize. Consider two given functions periodic func …
Alexander Chervov's user avatar
3 votes
0 answers
372 views

How to promote a blog?

Math behind might be interesting. Quite recent bloggingg activity might have interesting math model. The point is that bloggers compete for subscribers and at the same time cooperate gaining subscribe …
Alexander Chervov's user avatar
7 votes
1 answer
403 views

Does the plane clustered to minimize sum distances^2 to clusters centers ( inertia / "K-mean...

"K-means" is the most simple and famous clustering algorithm, which has numerous applications. For a given as an input number of clusters it segments set of points in R^n to that given number of clu …
Alexander Chervov's user avatar
53 votes
5 answers
9k views

Why do bees create hexagonal cells ? (Mathematical reasons)

Question 0 Are there any mathematical phenomena which are related to the form of honeycomb cells? Question 1 Maybe hexagonal lattices satisfy certain optimality condition(s) which are related to it? …
Alexander Chervov's user avatar