Diego Fonseca

### Questions (144)

 10 Are all bilinear forms identically zero? 9 If $X\sim \mathrm{lognormal}$ then $Y:=(X-d|x\geq d)$ has approximately a Generalized Pareto distribution. 8 There exists polynomial $(P_{n})_{n\in\mathbb{N}}$ such that $P_n(0)=1$, and $\lim_{n\rightarrow \infty}P_{n}(z)=0$.. 6 Define $\rho(f,g):=\int \frac{|f-g|}{1+|f+g|}d\mu.$. Show that $f_{n}\rightarrow f$ in measure $\Longrightarrow$ $\rho(f_{n},f)\rightarrow 0$. 6 If $\mathcal{B}$ is a base of a topology space $\left(X,\tau\right)$, then the Borel $\sigma$-algebra is generated by $\mathcal{B}$?

### Reputation (1,143)

 +5 Calculate $\mathbb{P}[Y=y|X=x]$ where $X$=# claims reported diring firs year, $Y$=# total of claims that will eventually be reported +5 Show that $(c_{0})'$ and $(c)'$ are isometrically isomorphic. +45 If $X\sim \mathrm{lognormal}$ then $Y:=(X-d|x\geq d)$ has approximately a Generalized Pareto distribution. +5 Show that entire function $f$ is a polynomial of degree at most $n$

 8 Suppose that for each $a\in \mathbb{C}$ at least one coefficient of the Taylor's series $f$ about $a$ is zero. Show that $f$ is a polynomial. 5 How can we find geodesics on a one sheet hyperboloid? 2 Prove that a uniformly convergent convergent sequence of $N^\text{th}$ degree polynomials must converge to some $N^\text{th}$ degree polynomial 2 Let $(X,d)$ be a compact metric space and $f:X\rightarrow X$ such that \$d(f(x),f(y))

### Tags (154)

 9 complex-analysis × 32 5 real-analysis × 21 8 complex-integration × 15 5 geodesic 7 differential-geometry × 7 2 measure-theory × 36 6 surfaces × 2 2 probability-theory × 19 5 functional-analysis × 30 2 fixed-point-theorems × 2

### Accounts (10)

 Mathematics 1,143 rep 622 Cross Validated 180 rep 110 Stack Overflow 101 rep 2 TeX - LaTeX 101 rep 1 Stack Overflow en español 101 rep 1