What is the difference between the Ham sandwich theorem and the sandwich theorem?
In calculus, the squeeze theorem (known also as the pinching theorem, the sandwich theorem, the sandwich rule and sometimes the squeeze lemma) is a theorem regarding the limit of a function. http://en.wikipedia.org/wiki/Squeeze_theorem It has no connection to the Ham sandwich theorem, which is… In measure theory, a branch of mathematics, the ham sandwich theorem, also called the Stone?Tukey theorem after Arthur H. Stone and John Tukey, states that given n measurable “objects” in n-dimensional space, it is possible to divide all of them in half (according to volume) with a single (n − 1)-dimensional hyperplane. Here the “objects” should be sets of finite measure (or, in fact, just of finite outer measure) for the notion of “dividing the volume in half” to make sense. http://en.wikipedia.org/wiki/Ham_sandwich_theorem I haven’t the foggiest notion what all that is about!
