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Mathematics
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Richard Clare

B.S: Pure Mathematics (minor in Computer Sciences) - University of Puerto Rico. (Magnacumlaude)

M.Sc: Applied Math (Major in Probability and Statistics) - University of Puerto Rico (Rio Piedras). (Sumacumlaude)

Master Thesis: Model selection for the mass distribution of a star-forming region in the Milky Way using the Expected posterior Prior approach.

Advisor: Dr. Luis Raul Pericchi

I am currently working on my Ph.D. in Computational Mathematics at the University of Puerto Rico, Rio Piedras Campus. My main interests are Bayesian Statistics, Real & Complex Analysis, and Number Theory. I'm currently working several kinds of research related to Bayesian Analysis and Prime numbers.

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Top Posts (102) All Questions Answers | Votes Newest

9 Let $f$ be continuous on $[-1,1]$, Show that $g_n \to f$ uniformly on $[-1,1]$ Aug 14 '17
8 Let $(p_n)_{n \in \mathbb{N}}$ be the sequence of prime numbers, then $\lim_{n \to \infty}\frac{p_{n+1}}{p_n} = 1$? Apr 15 '17
7 $\int_{0}^{\frac{\pi}{2}}\frac{d\theta}{a + \sin^2(\theta)} = \frac{\pi}{2[a(a+1)]^\frac{1}{2}}$, for $a > 0$ Jul 30 '17
6 Show that if $f: [0,1]\to \mathbb{R}$ is lower semi-continuous then attains its minimum on $[0,1]$ Aug 31 '17
6 How can I compute the discriminant of the field $\mathbb{Q}(\sqrt[3]{28})$? Jun 14 '18
5 Is there any algebraic structure in the set of all continuous pdf's in $\mathbb{R}^n$ under some operation? Mar 28 '17
5 How many roots has the polynomial $z^{2015} + 8z^{12} + 1$ in $\{z \in \mathbb{C}: \Im(z) > 0$ and $\Re(z) > 0\}$? Aug 22 '17
4 Show that $\displaystyle{\lim_{n \to \infty}} \int_{0}^{1}|f_n(x)| \, dx= 0$ if $\int_0^1|f_n(x)|^2 dx < 100$ Aug 19 '17
4 Construct a continuous function such that $\int_{-\infty}^\infty|f(x)|\,dx<\infty$ but $\lim_{x\to \infty}|f(x)|$ does not exists. [duplicate] Aug 22 '17
4 Let $F[[X]]$ be the ring of formal power series over the field $F$. Show that $(X)$ is a maximal ideal. Feb 12 '18
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