### Questions (88)

 26 Existence of independent and identically distributed random variables. 16 If $A$ an integral domain contains a field $K$ and $A$ over $K$ is a finite-dimensional vector space, then $A$ is a field. [duplicate] 15 On every infinite-dimensional Banach space there exists a discontinuous linear functional. 14 For a graph $G$, why should one expect the ratio $\text{ex} (n;G)/ \binom n2$ to converge? 12 Factorize $(9+11\sqrt{-5})$ as a product of prime ideals in $\mathcal{O}_K$ where $K=\mathbb{Q}(\sqrt{-5})$

### Reputation (4,500)

 +10 What are the irreducible representations of the cyclic group $C_n$ over a real vector space $V$? +10 An infinite subset of the closed unit ball whose elements are more than distance 1 apart +10 A maximal ideal among those avoiding a multiplicative set is prime +10 Borel $\sigma$ algebra on a topological subspace.

 9 Show that an entire function $f$ s.t. $|f(z)|>1$ for $|z|>1$ is a polynomial 8 Show y is odd in the equation $y^3 =x^2 +2$ 8 If the derivative approaches zero then the limit exists 5 Factorial (Proof by Induction) 4 linear transformation and angles?

### Tags (79)

 15 elementary-number-theory × 3 5 logic × 4 9 complex-analysis × 6 5 linear-algebra × 3 9 calculus × 3 5 induction 8 real-analysis × 4 4 transformation 8 analysis × 3 3 abstract-algebra × 11

### Bookmarks (1)

 7 Let $p$ be an odd prime. $p$ and $(1-\zeta_p)^{p-1}$ are associates in $\mathbb{Z}[\zeta_p]$.