where we reduce a problem of size $n$ into $a$ problems of size $n/b$ and $a$ and $b$ are integers (1,2,3....). We will show how to solve such recurrences when $g$ is ...

Presents propositional logic, combinatorics, methods of proof, mathematical systems, algebra of sets, matrix algebra, relations and functions, recursion and generating functions, applications to ...

Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...