Perlmutter (1970) argued that the indefinite article is categorically different from the definite article and proposed that it is a clitic version of the numeral "one". But there are, as Perlmutter himself pointed out, instances of "a" as well as of "one" that don't seem to have the semantics of the numeral. Hence a divorce of "a" (and of "one") from "numeral"-hood is called for. Furthermore, t...

Copyright © 2006, Idea Group Inc., distributing in print or electronic forms without written permission of IGI is prohibited. This article (further referred to as Math-I), and the next one (further referred to as Math-II, see p. 359), form a mathematical companion to the article in this encyclopedia on Generic Model Management (further referred to as GenMMt, see p.258 ). Articles Math-I and II ...

Copyright © 2006, Idea Group Inc., distributing in print or electronic forms without written permission of IGI is prohibited. This article (further referred to as Math-I), and the next one (further referred to as Math-II, see p. 359), form a mathematical companion to the article in this encyclopedia on Generic Model Management (further referred to as GenMMt, see p.258 ). Articles Math-I and II ...

The purpose of this article is to show that when a smooth manifold is given a generic metric, prime minimal two-spheres and prime minimal tori within the manifold do not have branch points. This is an analog within Riemannian geometry of a well-known theorem of Böhme and Tromba which states that solutions to the classical Plateau problem in R have no branch points for generic choice of boundary...

Definite phrases are often used to introduce new entities into discourse but the conditions under which this is possible are not well understood. Evans (2005) argued that the definite article may be used to introduce an entity if it is the most relevant of its type in its local frame of reference, dubbing this the “Small world hypothesis.” Additional arguments will be given in support of the Sm...