Solving Divide And Conquer recurrences with Generating Functions Today we will show how to solve recurrences that arise from analyzing divide and conquer algorithms by using Generating Functions.

Combinatorics is the modern mathematics that studies discrete objects, and the problems studied include counting problems, existential problems, enumeration, algorithm problems and optimization ...

Description: The course covers mathematics useful in analyzing computer algorithms. Topics include recurrence relations; evaluation of sums; integer functions; elementary number theory; binomial ...

We characterize the maximal class of functions that generates such a metric. Further, we show how some interesting properties of these probability metrics arise directly from conditions on the ...