Monthly Archives: September 2010

Some facts about matrices 一些关于矩阵的知识

People who went through basic linear algebra might think they know everything there is to know about determinant, rank, etc. But consider the following three propositions: 1. any rank 1 matrix can be represented as , where are column vectors. … Continue reading

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Some fact about matrices j矩阵知识

For latex rendered version, please visithttps://aquazorcarson.wordpress.com/2010/09/17/some-facts-about-matrices-%E4%B8%80%E4%BA%9B%E5%85%B3%E4%BA%8E%E7%9F%A9%E9%98%B5%E7%9A%84%E7%9F%A5%E8%AF%86/ People who went through basic linear algebra might think they know everything there is to know about determinant, rank, etc. But consider the following three propositions: 1. any rank 1 matrix can be represented … Continue reading

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central limit theorem for dependent variables 互扰变量的中值定理

People always talk about CLT for dependent random variables, but among the probability graduate students, probably not too many know the exact research frontier of conditions under which CLT is guaranteed to hold. Well I am not here to push … Continue reading

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central limit theorem for dependent variables 互扰变量的中值定理

For a latex rendered version, please go to my new blog: https://aquazorcarson.wordpress.com/2010/09/09/central-limit-theorem-for-dependent-variables-%e4%ba%92%e6%89%b0%e5%8f%98%e9%87%8f%e7%9a%84%e4%b8%ad%e5%80%bc%e5%ae%9a%e7%90%86/?preview=true&preview_id=4&preview_nonce=3b8977bb9c   People always talk about CLT for dependent random variables, but among the probability graduate students, probably not too many know the exact research frontier of conditions under … Continue reading

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为什么被动态和现在完成时态都用过去分词/ why passive voice and present complete tense both require past participle?

  I  just realized through inner cerebration the link between passive voice and present complete tense. Consider the following sentence: I have finished my homework. A standard inversion yields: I have my homework finished. If this is not yet revealing … Continue reading

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