∫ntegrabℓε ∂iﬀerentiαℓs

The best Haskell book I have ever read. Simple and straightforward. Allows the reader to do something useful very quickly, and with enough reference for further study (read: pointers to academic papers in the theory of programming languages). Highly recommended. [more]

Inequalities of Probability

August 21, 2012 blog math

There are several famous inequalities in the theory of probability. The simplest one is the Markov inequality: [more]

Raghavendra (2012) A Randomized Algorithm for Linear Equations over Prime Fields

August 21, 2012 paper

Summary at: [1] http://rjlipton.wordpress.com/2012/08/09/a-new-way-to-solve-linear-equations/ [more]

Proof of Euclid's Formula for Pythagorean Triples

August 9, 2012 blog math

Euclid’s formula says that, \((a,b,c)\) are a Pythagorean triple, i.e., \(a^2+b^2=c^2\) for \(a,b,c\) are integers, if and only if \(a=2mn\), \(b=m^2-n^2\), \(c=m^2+n^2\) for some integers \(m,n\). [more]

Revision: Ito calculus

August 3, 2012 blog math

Stochastic process: \(X(t), t\in[0,\infty)\) [more]

Programming in Haskell

Graham Hutton / 2007

Inequalities of Probability

Raghavendra (2012) A Randomized Algorithm for Linear Equations over Prime Fields

Proof of Euclid's Formula for Pythagorean Triples

Revision: Ito calculus