40 The Convergence of Jacobi and Gauss-Seidel methods 25 Ways to write "50" 14 Why does this integral diverge: $\int_1^{\infty}\frac{x^6}{6x^6 − 1} dx$? 11 Ways to write "50" 10 Value of $\sum \limits_{k=1}^{81} \frac{1}{\sqrt{k} + \sqrt{k+1}} = \frac{1}{\sqrt{1} + \sqrt{2}} + \cdots + \frac{1}{\sqrt{80} + \sqrt{81}}$?

### Reputation (4,123)

 +10 absolute stability / inequality +10 The Convergence of Jacobi and Gauss-Seidel methods +10 How can I show that $f$ must be zero if $\int fg$ is always zero? +10 Why study linear algebra?

### Questions (19)

 65 How much Math do you REALLY do in your job? 11 Evaluate derivative of Lagrange polynomials at construction points 7 Book request: Mathematical Finance, Stochastic PDEs 5 Taylor expansion of a function on the unit sphere 3 Clustering elements according to covariance matrix

### Tags (121)

 92 numerical-methods × 39 15 derivatives × 7 43 calculus × 19 14 linear-algebra × 8 28 ordinary-differential-equations × 16 14 multivariable-calculus × 6 27 integration × 8 14 improper-integrals 17 sequences-and-series × 9 14 convergence-divergence

### Bookmarks (12)

 94 Prove elementarily that $\sqrt[n+1] {(n+1)!} - \sqrt[n] {n!}$ is strictly decreasing 40 Ways to write "50" [closed] 37 Closed form of $\mathscr{R}=\int_0^{\pi/2}\sin^2x\,\ln\big(\sin^2(\tan x)\big)\,\,dx$ 9 How to evaluate the integral $e^{-(c\ln(\frac{1}{x}))^s} dx$? 7 How to prove $\prod_{i=1}^{r}\left(1+\frac{1}{x_{i}}\right)\le \frac{2^{2^r}-1}{2^{2^r-1}}$?