Recent content by sit.think.solve

Suppose that \alpha_1,...,\alpha_n are positive numbers. Show that \int_{1}^{\infty}...\int_{1}^{\infty}\frac{dx_1...dx_n}{{x_1}^{\alpha_1}+...+{x_n}^{\alpha_n}}<\infty if \frac{1}{\alpha_1}+...+\frac{1}{\alpha_n}<1

Thanks for the tips, having some trouble trying to reduce the sums though: Presumably I should add, \cos(\frac{0}{n}x)+\cos(\frac{n-1}{n}x) \cos(\frac{1}{n}x)+\cos(\frac{n-2}{n}x) and so on, but then what would be the last term in such sum? In fact, can I do sums like this?

Evaluate the following limit: \lim_{n\rightarrow \infty}\frac{1+\cos(\frac{x}{n})+...+\cos(\frac{n-1}{n}x)}{n}

first of all how do you write in latex

How do you find the inverse of following function? p(x)=(cos2pix,sin2pix) where pi means 3.14etc NOT p times i.

Hi, thanks for that info but unfortunately my university doesn't even have such system. For that reason I'm looking for a journal where outsiders(internationallly) can also submit Oh, and perhaps there was misunderstanding, I'm not just looking for it to have a read but I'm intending to...

Loosely speaking or Intuitively how should one understand the difference between Lie Derivative and Covariant derivative? Definitions for both sounds awfully similar...

Hi, I'm looking for a jornal where undergraduate students can publish what they did as part of a research project(not very advanced). It has to be such that anyone around the world can submit. If anyone knows such journal please reply! Oh, by the way I'm talking about mathematics journal