By Gary L. Wise,Eric B. Hall

ISBN-10: 0195070682

ISBN-13: 9780195070682

A counterexample is any instance or outcome that's the contrary of one's instinct or to generally held ideals. Counterexamples could have nice academic price in illuminating complicated subject matters which are tricky to give an explanation for in a rigidly logical, written presentation. for instance, principles in mathematical sciences that would look intuitively seen will be proved unsuitable with using a counterexample. This monograph concentrates on counterexamples to be used on the intersection of likelihood and genuine research, which makes it particular between such remedies. The authors argue convincingly that likelihood concept can't be separated from genuine research, and this booklet comprises over three hundred examples with regards to either the speculation and alertness of arithmetic. some of the examples during this assortment are new, and plenty of outdated ones, formerly buried within the literature, at the moment are available for the 1st time. unlike a number of different collections, the entire examples during this booklet are thoroughly self-contained--no info are took place to vague outdoor references. scholars and theorists throughout fields as different as genuine research, likelihood, information, and engineering will need a replica of this book.

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