Inequalities of Probability
There are several famous inequalities in the theory of probability. The simplest one is the Markov inequality:
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Raghavendra (2012) A Randomized Algorithm for Linear Equations over Prime Fields
Summary at: [1] http://rjlipton.wordpress.com/2012/08/09/a-new-way-to-solve-linear-equations/
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Proof of Euclid's Formula for Pythagorean Triples
Euclid’s formula says that, are a Pythagorean triple, i.e.,
for are integers, if and only if , ,
for some integers .
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Revision: Ito calculus
Stochastic process:
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Integer Reciprocal and Geometric Series
Note that
In fact, we have
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