The theory provides a large and elaborate basis for linguistic description and, due to its formal character, lends itself particularly well to computer applications, including machine translation, phraseology, and lexicography.
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Analogical modeling (hereafter AM) is a formal theory of exemplar-based analogical reasoning, proposed by Royal Skousen, professor of Linguistics and English language at Brigham Young University in Provo, Utah.
Generative Anthropology originated with Professor Eric Gans of UCLA who developed his ideas in a series of books and articles beginning with The Origin of Language: A Formal Theory of Representation (1981).
Still others, notably Peter Blau, follow Simmel in attempting to base a formal theory of social structure on numerical patterns in relationships—analyzing, for example, the ways in which factors like group size shape intergroup relations.
A key result in the formal theory of Lorentz violation, published by Kostelecký in 2004, is that explicit Lorentz violation leads to incompatibility of the Bianchi identities with the covariant conservation laws for the energy-momentum and spin-density tensors, whereas spontaneous Lorentz breaking evades this difficulty.