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
Punctuation two styles differ mainly in the way in which they handle quotation marks, particularly in conjunction with other punctuation marks. In British English, punctuation such as periods and commas are placed outside the closing quotation mark; in American English, however, punctuation is placed inside the closing quotation mark. This rule varies for other punctuation marks; for example, American English follows the British English rule when it comes to semicolons, colons, question marks, and exclamation points. Other languages of Europe use much the same punctuation as English. The similarity is so strong that the few variations may confuse a native English