The magic of automating counting, "generating functions," introduced in the prologue (Part 0). In this session, we will first confirm the formal definition, and then explain the fundamental principle ...

These are some lecture notes for a 4 1 2 \frac{1}{2}-hour minicourse I’m teaching at the Summer School on Algebra at the Zografou campus of the National Technical University of Athens. To save time, I ...

This study investigated whether performance on a mathematical strategy-generating task showed evidence for a serial order effect (decreasing fluency but increasing originality and creativity of ...

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

Proceedings of the National Academy of Sciences of the United States of America, Vol. 56, No. 6 (Dec. 15, 1966), pp. 1912-1916 (5 pages) ...