user398843

### Questions (119)

 4 Does $z^4+2z^2+z=0$ have complex roots? 4 Prove that $||x+y|| \leq ||x|| +||y||$ 4 How do I know if I'm well-prepared for a real analysis exam? Or more generally, proof-based exams? 3 Evaluate $\int_\gamma \frac{dz}{z-1}$, where $\gamma$ is the unit circle. 3 Why is it true that $\int\int f(x-t)g(t)dtdx = \int f(x)dx \int g(x)dx$?

### Reputation (722)

 +5 How to prove $1 \leq ||f||^p_p ||g||^p_p$? +8 Orbit of a matrix under conjugation +5 A topological proof of that $\int_{-\infty}^a f(x)dx$ is continuous +5 Existence of a single-valued indefinite integral (a necessary and sufficient condition)

 1 A sequence $\{x_n\}$ is convergent in $\prod X_\alpha$ iff the projection sequence $\{\pi_\alpha(x_n)\}$ converges in $X_\alpha$ for any $\alpha$ 0 How to show that $f_1(z) = -f_2(z)$, where $f_1$ and $f_2$ are the square root functions with different branches?

### Tags (56)

 1 proof-explanation × 28 0 complex-analysis × 28 1 proof-verification × 19 0 analysis × 25 1 general-topology × 11 0 measure-theory × 21 1 infinite-product × 3 0 complex-numbers × 14 0 real-analysis × 41 0 calculus × 13

### Accounts (9)

 Mathematics 722 rep 316 Stack Overflow 112 rep 5 Physics 103 rep 2 Ask Ubuntu 101 rep Academia 101 rep 2