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Monthly Archives: February 2012
Thermodynamics for Mathematicians (I)
“Every mathematician knows it is impossible to understand an elementary course in thermodynamics.” – V. I. Arnold. The following is the culmination of at least three attempts to understand thermodynamics at various times during the last two years. Why’s it … Continue reading
Power Series and Generating Functions (II): Formal Power Series
For today’s post, we shall first talk about the Catalan numbers. The question we seek to answer is the following. Let n be a positive integer. Given a nonassociative operation *, find the number of ways to bracket the expression … Continue reading
Posted in Notes
Tagged catalan numbers, combinatorics, formal power series, intermediate, power series
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