Sums Of Products Or Products Of Sums Neither Mathfoundations 267 N J Wildberger

Summary

In electrical engineering courses, Boolean functions are described by Boolean expressions, which are however not unique. Here we begin to study metrical geometry from the framework of linear algbra, but we do so in a novel, completely algebraic way. There are three planar metrical geometries that fit together beautifully; the usual Euclidean geometry (which we call blue), and two ... Moving from Boolean algebra to the more powerful and direct Algebra of Boole for circuit analysis opens up some unique ... We begin to introduce the Algebra of Boole, starting with the bifield of two elements, namely {0,1}, and using that to build the ... How can you tell whether two given circuits are equivalent? One way is to create a table representing the Boolean function: all ... A key problem in circuit analysis is to associate to a logical circuit, typically made of logic gates such as AND, OR, NOT, XOR, ... We continue to develop a new kind of arithmetic, based on the data structure called a multiset, or mset for short. After a quick ... The Cyclic quadrilateral quadrea (CQQ) theorem is a major re-evaluation of the classical theorem of Brahmagupta on the area of ... We want to explain how to associate algebraic expressions to logic circuits which encode their values on various input values, ... In this video we introduce the projective version of the Quadruple quad formula, which not only controls the relationship between ... Engineers and computer scientists create complicated circuits from the basic logic gates, typically NOT, AND, OR, XOR, NAND, ... We show how to introduce Inference Rules in Propositional Logic in the framework of the Algebra of Boole, which provides a cut ... We continue discussing George Boole's original algebra which can be framed as arithmetic over the bifield B_2={0,1} and vector ...