Landon Carter

### Questions (217)

 32 Can you completely permute the elements of a matrix by applying permutation matrices? 19 Proving the sum of two independent Cauchy Random Variables is Cauchy 18 Show rigorously that the sum of integrals of $f$ and of its inverse is $bf(b)-af(a)$ 11 What are some modern books on Markov Chains with plenty of good exercises? 9 Show that $f(x) = x$ if $f(f(f(x))) = x$.

### Reputation (7,555)

 +10 Show rigorously that the sum of integrals of $f$ and of its inverse is $bf(b)-af(a)$ +5 Find the distribution of the random variable given probability generating function +5 How should one prepare for graduate studies in probability? +5 Can the Cauchy Schwarz be reversed, having $\|a\|^2\|b\|^2\le K \langle a,b\rangle^2$?

 14 Prove that $\sqrt {2^n-1}$ is irrational for every integer $n>1$ 13 How do I tell if I am able to go to graduate school in math? 10 Eigenvalue of a linear operator 9 Prove that, $f'(0) \ge -\sqrt{2}$ for a function $f$ satisfying some conditions on $(-1,1)$. 8 Prove that $N = \frac{(d_1 + d_2 + … + d_n)}{\frac{1}{d_1} + \frac{1}{d_2} + … + \frac{1}{d_n })}$?

### Tags (200)

 91 probability × 106 32 elementary-number-theory × 7 61 probability-theory × 125 31 sequences-and-series × 24 40 real-analysis × 52 31 inequality × 15 35 statistics × 26 30 random-variables × 30 33 probability-distributions × 46 26 limits × 22