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8h
comment Modeling, Measuring, and Maximizing “Mixedness”
@Tad Though you refer to them as standard combinatorial optimization techniques, I have no familiarity with simulated annealing or genetic algorithms. A similar post analysis here, if you have the time and energy, would be great! (As far as the number at each table: It would be best if the students who were at the 4-table changed a fair amount, too...)
12h
revised Modeling, Measuring, and Maximizing “Mixedness”
deleted 2 characters in body; edited title
Jul
1
revised Modeling, Measuring, and Maximizing “Mixedness”
altered title slightly, and clarified where the actual Question is
Jul
1
comment Is there an alternative intuition for solving the probability of having one ace card in every bridge player's hand?
@GTonyJacobs Agreed; see, in particular, Chapter 4 Problem 21 here in Grinstead and Snell's Introduction to Probability.
Jul
1
comment Cardinality of the set of all field automorphisms of $\mathbb C$
See MSE 412010...
Jul
1
comment Is there an alternative intuition for solving the probability of having one ace card in every bridge player's hand?
(Clearly "ace of space" is a typo for ace of spades, $A \spadesuit$!)
Jul
1
answered Is there an alternative intuition for solving the probability of having one ace card in every bridge player's hand?
Jul
1
asked Modeling, Measuring, and Maximizing “Mixedness”
Jun
18
revised Probability that a stick randomly broken in five places can form a tetrahedron
Updated MSE to correspond with updated MO
Jun
12
comment Maximum number of Sylow subgroups
Possibly the problem can be traced back one [small] step to AoPS. You may have to ask there to find out its original source.
May
27
revised Self Teaching Theory for Olympiad. Need advice for books.
xp
May
27
comment What branch of Mathematics does the study of Algebraic/Transcendental Numbers lie in?
You may wish to check the wikipage on transcendence theory, which begins: "Transcendence theory is a branch of number theory that investigates transcendental numbers, in both qualitative and quantitative ways."
May
2
comment Probability that a stick randomly broken in five places can form a tetrahedron
... Still running???
Apr
18
revised Advice on finding counterexamples
Alternative counterexamples briefly expanded upon in a final comment
Apr
3
comment Advice on finding counterexamples
The only thing I might add is that, at least for me, I try to contradict set size or closure. In this case, you can union any two $2$-element subgroups of the Klein $4$-group, multiply the non-identity elements together, and show that closure fails for the set. (Your answer, quite reasonably, took the set size route instead...)
Apr
2
comment Advice on finding counterexamples
Very nice answer!
Apr
2
awarded  Revival
Apr
1
comment how to show that when an edge is removed from K5, the resluting subgraph is planar.
@Mathemagician1234 Thanks; I expect most would solve it this way (and really it is just Kelvin Soh's comment depicted).
Apr
1
revised how to show that when an edge is removed from K5, the resluting subgraph is planar.
added 281 characters in body
Apr
1
answered how to show that when an edge is removed from K5, the resluting subgraph is planar.