Clinical care consists of processes.  Examining patients, prescribing medications, mailing bills, reviewing charts–they are all processes.   Fortunately, there exists a perfectly good way of describing processes mathematically using graphs.  Graph theory originated when Leonhard Euler attempted to solve a simple problem mathematically.  The town of Konigsberg, where he lived, hadContinue Reading

Until I began studying discrete math, my idea of a function was something along the lines of formulae such as f(x) = x3, e=mc2, or F=ma.  Very likely, this is true for most people.   Math education from elementary algebra to differential equations focuses on functions that return a real number value.  Continue Reading

Everything can be expressed as a set—the rooms in a building, the providers in a practice, penicillins—everything.  When one studies the basics of set theory – unions, intersections, subsets and the like—the concepts seem so simple, even obvious, that it is difficult to believe that Georg Cantor  had to dreamContinue Reading

In the last post, I pointed out two limitations of propositional logic– namely, its inability to handle variables and quantifiers.  Let’s take a look at how these limitations affect one’s ability to use logic to solve specific types of problems. Remember, propositional logic deals solely with declarative statements. Atlanta isContinue Reading