### Answers (32)

 28 Similarity of real matrices over $\mathbb{C}$ 7 common eigenvectors of commuting operators 6 $\lfloor a n\rfloor \lfloor b n\rfloor \lfloor c n\rfloor = \lfloor d n\rfloor \lfloor e n\rfloor \lfloor f n\rfloor$ for all $n$ 5 Is $f+g$ and $fg$ maximum where $f$ and $g$ are maximum? 4 Proving a set is closed

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### Questions (4)

 2 Vector space spanned by $(\{na_1\},\{na_2\},\dots,\{na_k\})_{n\in\mathbb{N}}$ 2 Is there a finite number of solutions to $\mathrm{Re}(a^n)+\mathrm{Im}(a^n)=b^n$, where $a$ is a Gaussian integer and $b \in \Bbb Z$? 0 If $a$ is an irrational number, is it possible $\{u_na\}u_n^k\mapsto 0$? 0 Tower of Brahma (a.k.a. Tower of Hanoi)

### Tags (54)

 38 linear-algebra × 5 7 number-theory × 2 32 matrices × 4 6 derivatives × 2 10 real-analysis × 4 6 functions × 2 9 general-topology × 6 6 group-theory × 2 7 elementary-number-theory × 5 6 irrational-numbers

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 10 $\lfloor a n\rfloor \lfloor b n\rfloor \lfloor c n\rfloor = \lfloor d n\rfloor \lfloor e n\rfloor \lfloor f n\rfloor$ for all $n$ 6 CP(2) = SU(3)/U(2)? 2 Eigenvalue Decomposition of a Triadiagonal Matrix 2 Path to Combinatorics Problem [$1.11$] 2 Density of the canonical embedding $J: E \mapsto E^{**}$

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