14 Incredible Blackjack Hand 8 Integrate cos (lnx) dx 8 Exercise books in analysis 6 Prove A ∩ B = empty set iff A ⊆ B complement 5 Computing eigenvalues of related matrices

### Reputation (3,709)

 +10 Showing a Borel-Cantelli-esque result for not necessarily independent random variables +10 The supremum of rationals that are less than a given number is equal to that number +20 Complement of the complete bipartite graph +10 Showing $\text{Aut}(\mathbb{Q})$ is the trivial group and calculating $\text{Aut}(\mathbb{Q}(\sqrt{2}))$

### Questions (24)

 7 Showing a Borel-Cantelli-esque result for not necessarily independent random variables 5 How to show that $p$th moment being finite is equivalent to a limit existing 5 Uniform convergence of a sequence of functions 4 Showing a set is nowhere dense in $C([0,1])$ 3 Applying the Law of Large Numbers?

### Tags (80)

 56 combinatorics × 19 14 discrete-mathematics × 7 49 probability × 23 13 probability-distributions × 7 41 calculus × 15 12 soft-question × 2 24 real-analysis × 15 11 elementary-set-theory × 5 15 permutations × 5 11 induction × 4

### Bookmarks (1)

 34 Trig sum: $\tan ^21^\circ+\tan ^22^\circ+\cdots+\tan^2 89^\circ = \text{?}$