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### Questions (107)

 13 Filtration and measure change 12 Choose 100 numbers from 1~200 (one less than 16) - prove one is divisible by another! 8 How can $\left({1\over1}-{1\over2}\right)+\left({1\over3}-{1\over4}\right)+\cdots+\left({1\over2n-1}-{1\over2n}\right)+\cdots$ equal $0$? 7 A question on “Linear Algebra” by Kenneth Hoffman 7 How to prove tr AB = tr BA?

### Reputation (438)

 +10 Biggest furniture that can go through a door sized 1 into a room 3 $\times$ 3? +5 How to prove tr AB = tr BA? +5 Difference between Euclidean space and inner product space? +5 Is there a definition of matrix power of a matrix?

 1 How to solve $U_{n+1}=U_n+\frac{2}{n(n+2)}D_n, D_{n+1}=U_{n+1}+D_n$ 0 Why a form is positive only if its matrix in some ordered basis is a positive matrix? 0 Proof Verification of the Primitive Element Theorem 0 Proving that the generator of $U$ is normal if $\forall u \in U, g\in G$ $gug^{-1} \in U$ 0 Rate of convergence for 'Law of large numbers'

### Tags (81)

 1 sequences-and-series × 5 0 elementary-set-theory × 6 0 linear-algebra × 16 0 brownian-motion × 6 0 abstract-algebra × 14 0 complex-analysis × 5 0 stochastic-processes × 13 0 measure-theory × 4 0 elementary-number-theory × 7 0 combinatorics × 3

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