(Remark: The proof presented in this post is a reorganization and interpretation of that given by James Munkres in his book "Topology".) Theorem 37.3 (Tychonov Theorem) The product of arbitrary number of compact spaces is compact in the product…
Source: wiki: Parseval's theorem As for signal processing, the power within certain frequency band = the sum of (power spectrum at all frequencies within the frequency band)^2.…
Stat2.2x Probability(概率)课程由加州大学伯克利分校(University of California, Berkeley)于2014年在edX平台讲授. PDF笔记下载(Academia.edu) Summary Standard Error The standard error of a random variable $X$ is defined by $$SE(X)=\sqrt{E((X-E(X))^2)}$$ $SE$ measures the rough size…
http://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=2119 11178 - Morley's Theorem Time limit: 3.000 seconds Problem DMorley’s TheoremInput: Standard Input Output: Standard Output Morley’s theorem stat…
Dirichlet's Theorem on Arithmetic Progressions Time Limit: 1000MS Memory Limit: 65536K Total Submissions: 16733 Accepted: 8427 Description If a and d are relatively prime positive integers, the arithmetic sequence beginning with a and increasing…
Kaushik Sathupadi Programmer. Creator. Co-Founder. Dad. See all my projects and blogs → A plain english introduction to CAP Theorem You’ll often hear about the CAP theorem which specifies some kind of an upper limit when designing distributed systems…
