Three Variable Boole - Mobius Transform - N J Wildberger

Explore the extension of the Boole-Mobius transform to three variables in this mathematics lecture. Delve into the correspondence between binary counting from 0 to 7 and subsets of a three-element variable set. Discover the emergence of a remarkable 8x8 matrix, T_3, and examine its intriguing inverse. Gain insights into advanced mathematical concepts through careful bookkeeping and analysis of Boolean functions and polynumbers.

Introduction
Two variables
Binary indexing
Corresponding relation
Main slide
Boole Mobius matrix