### Questions (114)

 20 Why: A holomorphic function with constant magnitude must be constant. 17 Prove: The positive integers cannot be partitioned into arithmetic sequences (using Complex Analysis) 17 Why do injective holomorphic functions have nonzero derivative 14 Sum of Independent Folded-Normal distributions 12 Irrationality of $\sqrt 2$ using induction

### Reputation (4,365)

 +10 Random walk on $n$-cycle +10 The product of a paracompact space and a compact space is paracompact. (Why?) +10 Irreducible elements in a PID are prime +10 Ash's construction of the Lebesgue-Stieltjes Measure from a distribution function

 11 Algebra: Prove inequality $\sum_{n=1}^{2015} \frac1{n^3} < \frac 54$ 8 Random walk on $n$-cycle 7 Why can a circle be described by an equation but not by a function? 6 Is there a coordinate system where a point is defined with two angles? 5 Intuition for Conditional Expectation

### Tags (164)

 18 probability-theory × 5 12 linear-algebra × 21 18 algebra-precalculus × 3 11 functions × 3 17 inequality × 7 11 arithmetic 16 probability × 15 10 stochastic-processes × 2 15 real-analysis × 12 8 measure-theory × 5

### Bookmarks (57)

 710 Different methods to compute $\sum\limits_{k=1}^\infty \frac{1}{k^2}$ (Basel problem) 379 Fourier transform for dummies 81 Why is a circle in a plane surrounded by 6 other circles? 51 Bijection $f\colon\mathbb{N}\to\mathbb{N}$ with $f(0)=0$ and $|f(n)-f(n-1)|=n$ 39 Prove this inequality with $xyz\le 1$