davidh

### Questions (45)

 5 Intuition for $\lim\sup$ and $\lim\inf$ 2 Let $X_1,X_2,…$ be i.i.d. RVs and let N be another independent RV which takes values from nonnegative integers. Let $Y=\sum_{k=1}^N X_k$ 2 Let R be UFD. Consider $R[[x]]$ 2 Ideal generated by homogeneous polynomials 2 Consider $R=k[x_1,x_2,…x_n]$. Difference between $(f_1,..,f_k)$ and $k[f_1,…f_k]$

### Reputation (344)

 +5 Derive the curvature in terms of a parametrization in the complex plane $z=z(t)$ +5 Laplace transform of the function $f_\epsilon (x)$ +5 Suppose $X_i\sim \text{Geom}(q)$ for $i\geq 1$, and $N\sim \text{Geom}(p)$. Let $Y=\sum_{k=1}^N X_k$. Show that $Y\sim \text{Geom}(pq)$ +5 Let $X_1,X_2,…$ be i.i.d. RVs and let N be another independent RV which takes values from nonnegative integers. Let $Y=\sum_{k=1}^N X_k$

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### Tags (20)

 0 abstract-algebra × 22 0 probability × 4 0 real-analysis × 10 0 noetherian × 2 0 ring-theory × 8 0 unique-factorization-domains × 2 0 modules × 6 0 ideals × 2 0 complex-analysis × 5 0 exact-sequence

### Accounts (2)

 Mathematics 344 rep 9 Meta Stack Exchange 101 rep