Extended Notation


Book Description

Most of the extended instrumental playing techniques, as well as electroacoustic music in general, are still deprived of a conventional method of notation. In order to facilitate the utilization of these unconventional musical elements, a coherent and consistent notation system is developed in this work. Numerous extended techniques for playing string instruments, wind instruments, percussion instruments, keyboard instruments and vocal techniques are therefore systematically explained and previous methods of notation discussed.




ZUM '98: The Z Formal Specification Notation


Book Description

1 In a number of recent presentations – most notably at FME’96 –oneofthe foremost scientists in the ?eld of formal methods, C.A.R. Hoare,has highlighted the fact that formal methods are not the only technique for producing reliable software. This seems to have caused some controversy,not least amongst formal methods practitioners. How can one of the founding fathers of formal methods seemingly denounce the ?eld of research after over a quarter of a century of support? This is a question that has been posed recently by some formal methods skeptics. However, Prof. Hoare has not abandoned formal methods. He is reiterating, 2 albeitmoreradically,his1987view thatmorethanonetoolandnotationwillbe requiredinthepractical,industrialdevelopmentoflarge-scalecomplexcomputer systems; and not all of these tools and notations will be, or even need be, formal in nature. Formalmethods arenotasolution,butratheroneofaselectionoftechniques that have proven to be useful in the development of reliable complex systems, and to result in hardware and software systems that can be produced on-time and within a budget, while satisfying the stated requirements. After almostthree decades,the time has come to view formalmethods in the context of overall industrial-scale system development, and their relationship to othertechniquesandmethods.Weshouldnolongerconsidertheissueofwhether we are “pro-formal” or “anti-formal”, but rather the degree of formality (if any) that we need to support in system development. This is a goal of ZUM’98, the 11th International Conference of Z Users, held for the ?rst time within continental Europe in the city of Berlin, Germany.




Extended Techniques for the Horn


Book Description

With the growing interest in hand horn (natural horn) and jazz horn, Extended Techniques for the Horn by Douglas Hill is an important text in horn repertory. Virtually all the sound possibilities of the horn are included in this one book, with clearly and concisely organized descriptions, notation and comments to both performers and composers of horn music.




Dictionary of Music & Staff Notation


Book Description

Dictionary of Music and Staff Notation is about the various definitions of musical terms. Many of them are very difficult to find since they are not available in all music dictionaries. In staff notation section the notation is described in a very simple way and different topics related to music are covered in it. The book will be helpful for students as well as teachers.




Notes on Coxeter Transformations and the McKay Correspondence


Book Description

Here is a key text on the subject of representation theory in finite groups. The pages of this excellent little book, prepared by Rafael Stekolshchik, contain a number of new proofs relating to Coxeter Transformations and the McKay Correspondence. They include ideas and formulae from a number of luminaries including J. N. Bernstein, I. M. Gelfand and V. A. Ponomarev, as well as material from Coxeter and McKay themselves. Many other authors have material published here too.




Specification of Software Systems


Book Description

This book provides an introduction to program specification, illustrating the advantages it confers upon the software development process. Covering all three major specification languages (Larch, VDM, and Z), the book discusses specification in general, the abstraction process, the mathematical tools required, and the main formal methods.




Formal Specification


Book Description

Formal Specification provides the reader with a practical and versatile approach to constructing program specifications. It includes both model-based (Z/VDM) and algebraic (CLEAR) paradigms of specification and emphasizes the range of languages and approaches available. Its main advantage over other specification books is that is offers an unrivaled breadth of coverage of the area, encompassing all the recent important advances.










Foundations of Algebraic Specification and Formal Software Development


Book Description

This book provides foundations for software specification and formal software development from the perspective of work on algebraic specification, concentrating on developing basic concepts and studying their fundamental properties. These foundations are built on a solid mathematical basis, using elements of universal algebra, category theory and logic, and this mathematical toolbox provides a convenient language for precisely formulating the concepts involved in software specification and development. Once formally defined, these notions become subject to mathematical investigation, and this interplay between mathematics and software engineering yields results that are mathematically interesting, conceptually revealing, and practically useful. The theory presented by the authors has its origins in work on algebraic specifications that started in the early 1970s, and their treatment is comprehensive. This book contains five kinds of material: the requisite mathematical foundations; traditional algebraic specifications; elements of the theory of institutions; formal specification and development; and proof methods. While the book is self-contained, mathematical maturity and familiarity with the problems of software engineering is required; and in the examples that directly relate to programming, the authors assume acquaintance with the concepts of functional programming. The book will be of value to researchers and advanced graduate students in the areas of programming and theoretical computer science.