Cunningham's Rule constructions because they tend to average out how many times a variable pivots. It has recently been shown by David Avis and Oliver Friedmann that there is a family of linear programs on which the simplex algorithm equipped with Cunningham's rule requires exponential time. Cunningham's Rule In mathematical optimization, Cunningham's rule (also known as least recently considered rule or round-robin rule) is an algorithmic refinement of the simplex method for linear optimization. The rule was proposed 1979 by W.H. Cunningham to defeat the deformed hypercube constructions by Klee and Minty et. al. (see, e.g. Klee–Minty cube). Cunningham's rule assigns a
Last antecedent rule in fact operates remotely on all the antecedents, binding them to the modifier. Nothing in the general literature on punctuation suggests such a mechanism. The last antecedent rule is also applied to contract interpretation. Last antecedent rule The last antecedent rule is a doctrine of interpretation of a statute, by which "Referential and qualifying phrases, where no contrary intention appears, refer solely to the last antecedent." The rule is typically bound by "common sense" and is flexible enough to avoid application that "would involve an absurdity, do violence to the plain intent of the language, or if the context for