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Derivations

Derivations
Author: Juan Uriagereka
Publisher: Routledge
Total Pages: 377
Release: 2005-08-11
Genre: Language Arts & Disciplines
ISBN: 1134538480

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This book presents an analysis of a variety of central linguistic notions, such as case agreement, obviation, and rigidity, from a derivational perspective.


Elementary Operations and Optimal Derivations

Elementary Operations and Optimal Derivations
Author: Hisatsugu Kitahara
Publisher: MIT Press
Total Pages: 164
Release: 1997
Genre: Education
ISBN: 9780262611299

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Hisatsugu Kitahara advances Noam Chomsky's Minimalist Program (1995) with a number of innovative proposals.


Derivation and Explanation in the Minimalist Program

Derivation and Explanation in the Minimalist Program
Author: Samuel Epstein
Publisher: John Wiley & Sons
Total Pages: 336
Release: 2008-04-15
Genre: Language Arts & Disciplines
ISBN: 0470754699

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Derivation and Explanation in the Minimalist Program presents accessible, cutting edge research on an enduring and fundamental question confronting all linguistic inquiry – the respective roles of derivation and representation. Presents accessible, cutting edge research on the respective roles of derivation and representation in syntactic inquiry. Discusses a wide range of phenomena and also includes alternative, representational perspectives. Features papers by M. Brody, C. Collins, S. Epstein, J. Frampton, S. Gutmann, N. Hornstein, R. Kayne, H. Kitahara, J. McCloskey, N. Richards, D. Seely, E. Torrego, J. Uriagereka, C.J.W. Zwart.


Algebraic Theory of Locally Nilpotent Derivations

Algebraic Theory of Locally Nilpotent Derivations
Author: Gene Freudenburg
Publisher: Springer Science & Business Media
Total Pages: 266
Release: 2007-07-18
Genre: Mathematics
ISBN: 3540295232

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This book explores the theory and application of locally nilpotent derivations. It provides a unified treatment of the subject, beginning with sixteen First Principles on which the entire theory is based. These are used to establish classical results, such as Rentschler’s Theorem for the plane, right up to the most recent results, such as Makar-Limanov’s Theorem for locally nilpotent derivations of polynomial rings. The book also includes a wealth of pexamples and open problems.


Heron Derivation Dictionary

Heron Derivation Dictionary
Author: Heron Books
Publisher:
Total Pages: 356
Release: 2020-12-14
Genre: Language Arts & Disciplines
ISBN: 9780897392068

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Written as a tool for students ages 12-14. Derivations for 11,450 commonly used words. A brief history of the English language, common symbols and terms found in dictionary derivations, a glossary of terms.


Geometry of Derivation with Applications

Geometry of Derivation with Applications
Author: Norman L. Johnson
Publisher: CRC Press
Total Pages: 372
Release: 2023-06-06
Genre: Mathematics
ISBN: 1000883817

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Geometry of Derivation with Applications is the fifth work in a longstanding series of books on combinatorial geometry (Subplane Covered Nets, Foundations of Translation Planes, Handbook of Finite Translation Planes, and Combinatorics of Spreads and Parallelisms). Like its predecessors, this book will primarily deal with connections to the theory of derivable nets and translation planes in both the finite and infinite cases. Translation planes over non-commutative skewfields have not traditionally had a significant representation in incidence geometry, and derivable nets over skewfields have only been marginally understood. Both are deeply examined in this volume, while ideas of non-commutative algebra are also described in detail, with all the necessary background given a geometric treatment. The book builds upon over twenty years of work concerning combinatorial geometry, charted across four previous books and is suitable as a reference text for graduate students and researchers. It contains a variety of new ideas and generalizations of established work in finite affine geometry and is replete with examples and applications.


Derivation and Computation

Derivation and Computation
Author: H. Simmons
Publisher: Cambridge University Press
Total Pages: 414
Release: 2000-05-18
Genre: Computers
ISBN: 9780521771733

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An introduction to simple type theory, containing 200 exercises with complete solutions.


The Derivation of Anaphoric Relations

The Derivation of Anaphoric Relations
Author: Glyn Hicks
Publisher: John Benjamins Publishing
Total Pages: 330
Release: 2009-03-11
Genre: Language Arts & Disciplines
ISBN: 9027290008

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The Derivation of Anaphoric Relations resolves a conspicuous problem for Minimalist theory, the apparently representational nature of the binding conditions. Hicks adduces a broad variety of evidence against the binding conditions applying at LF and builds upon the insights of recent proposals by Hornstein, Kayne, and Reuland by reducing them to the core narrow-syntactic operations (specifically, Agree and Merge). Several novel and independently motivated claims about syntactic features and phases are made, not only explaining the previously stipulated roles played by c-command, reference, and locality, but furnishing the dervational binding theory with sufficient flexibility to capture some long-problematic empirical phenomena: These include connectivity effects, ‘picture-noun’ reflexives in English, and anaphor/pronoun non-complementarity. Specific proposals are also made for extending the derivational approach to accommodate structured crosslinguistic variation in binding, with thorough expositions and analyses of the Dutch, Norwegian, and Icelandic pronominal systems.


Hasse-Schmidt Derivations on Grassmann Algebras

Hasse-Schmidt Derivations on Grassmann Algebras
Author: Letterio Gatto
Publisher: Springer
Total Pages: 195
Release: 2016-07-08
Genre: Mathematics
ISBN: 331931842X

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This book provides a comprehensive advanced multi-linear algebra course based on the concept of Hasse-Schmidt derivations on a Grassmann algebra (an analogue of the Taylor expansion for real-valued functions), and shows how this notion provides a natural framework for many ostensibly unrelated subjects: traces of an endomorphism and the Cayley-Hamilton theorem, generic linear ODEs and their Wronskians, the exponential of a matrix with indeterminate entries (Putzer's method revisited), universal decomposition of a polynomial in the product of two monic polynomials of fixed smaller degree, Schubert calculus for Grassmannian varieties, and vertex operators obtained with the help of Schubert calculus tools (Giambelli's formula). Significant emphasis is placed on the characterization of decomposable tensors of an exterior power of a free abelian group of possibly infinite rank, which then leads to the celebrated Hirota bilinear form of the Kadomtsev-Petviashvili (KP) hierarchy describing the Plücker embedding of an infinite-dimensional Grassmannian. By gathering ostensibly disparate issues together under a unified perspective, the book reveals how even the most advanced topics can be discovered at the elementary level.