Heron Derivation Dictionary


Book Description

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.




Derivation and Computation


Book Description

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










Derivations in Minimalism


Book Description

A pathbreaking new perspective on derivation, the series of operations by which sentences are formed.




Geometry of Derivation with Applications


Book Description

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.




Algebraic Theory of Locally Nilpotent Derivations


Book Description

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.




Simple Theorems, Proofs, and Derivations in Quantum Chemistry


Book Description

Since 1983 I have been delivering lectures at Budapest University that are mainly attended by chemistry students who have already studied quantum chem istry in the amount required by the (undergraduate) chemistry curriculum of the University, and wish to acquire deeper insight in the field, possibly in prepara tion of a master's or Ph.D. thesis in theoretical chemistry. In such a situation, I have the freedom to discuss, in detail, a limited number of topics which I feel are important for one reason or another. The exact coverage may vary from year to year, but I usually concentrate on the general principles and theorems and other basic theoretical results which I foresee will retain their importance despite the rapid development of quantum chemistry. I commonly organize my lectures by treating the subject from the begin ning, without referring explicitly to any actual previous knowledge in quantum chemistry-only some familiarity with its goals, approaches and, to a lesser ex tent, techniques is supposed. I concentrate on the formulae and their derivation, assuming the audience essentially understands the reasons for deriving these results. This book is basically derived from the material of my lectures. The spe cial feature, distinguishing it from most other textbooks, is that all results are explicitly proved or derived, and the derivations are presented completely, step by step. True understanding of a theoretical result can be achieved only if one has gone through its derivation.




Algebraic Structures as Seen on the Weyl Algebra


Book Description

The book develops some algebraic structure theory based upon properties observed on the Weyl algebra. Filtered and graded rings, finiteness conditions, localizations and rings of fractions, finiteness conditions on rings and modules, homological dimension and the Gelfand-Kirillov dimensions, simple Noetherian algebras and semisimples rings and modules are considered.




Ancient Greek Verb-Initial Compounds


Book Description

This book provides a brand new treatment of Ancient Greek (AG) verb-first (V1) compounds. In AG, the very existence of this type is surprising: its left-oriented structure goes against the right-oriented structure of the compound system, in which there also exists a large class of verb-final (V2) compounds (many of which express the same agentive semantics). While past studies have privileged either the historical dimension or the assessment of semantic and stylistic issues over a systematic analysis of V1 compounds, this book provides a comprehensive corpus of appellative and onomastic forms, which are studied vis-à-vis V2 ones. The diachronic dimension (how these compounds developed from late PIE to AG and then within AG) is combined with the synchronic one (how they are used in specific contexts) in order to show that, far from being anomalous, V1 compounds fill lexical gaps that could not, for specified morphological and semantic reasons, be filled by more ‘regular’ V2 ones. Introductory chapters on compounding in morphological theory and in AG place the multi-faceted approach of this book in a modern perspective, highlighting the importance of AG for linguists debating the properties of the V1 type cross-linguistically.