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Geometries, Codes and Cryptography
The general problem studied by information theory is the reliable transmission of information through unreliable channels. Channels can be unreliable either because they are disturbed by noise or because unauthorized receivers intercept the information transmitted. In the first case, the theory of error-control codes provides techniques for correcting at least part of the errors caused by noise. In the second case cryptography offers the most suitable methods for coping with the many problems linked with secrecy and authentication. Now, both error-control and cryptography schemes can be studied, to a large extent, by suitable geometric models, belonging to the important field of finite geome...
Finite Geometries and Designs
This 1981 collection of 33 research papers follows from a conference on the interwoven themes of finite Desarguesian spaces and Steiner systems, amongst other topics.
Encyclopaedia of Mathematics
This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available.
Finite Geometries
This book is a compilation of the papers presented at the conference in Winnipeg on the subject of finite geometry in 1984. It covers different fields in finite geometry: classical finite geometry, the geometry of finite planes, geometric structures and the theory of translation planes.
Combinatorial and Geometric Structures and Their Applications
Combinatorial and Geometric Structures and Their Applications
Finite Geometry and Combinatorics
Included here are articles from many of the leading practitioners in the field, including, for the first time, several distinguished Russian mathematicians. Many of the papers contain important new results, and the growing use of computer algebra packages in this area is also demonstrated.
Endocrine Pathology
This encyclopedia volume covers the complete field of endocrine pathology – from Acidophil Stem Cell Adenoma to Waterhouse-Friderichsen syndrome. The alphabetically arranged entries, each of which provides a detailed description of a specific pathological disease pattern, allow readers to quickly and easily find the information they need.
Applications of Hyperstructure Theory
This book presents some of the numerous applications of hyperstructures, especially those that were found and studied in the last fifteen years. There are applications to the following subjects: 1) geometry; 2) hypergraphs; 3) binary relations; 4) lattices; 5) fuzzy sets and rough sets; 6) automata; 7) cryptography; 8) median algebras, relation algebras; 9) combinatorics; 10) codes; 11) artificial intelligence; 12) probabilities. Audience: Graduate students and researchers.
Thyroid FNA Cytology
This book offers a comprehensive guide to thyroid fine needle aspiration (FNA) cytology. Borderline/precursor tumors, which were introduced in the 4th edition of the WHO classification of thyroid tumors, are also incorporated. In this second edition, prominent international experts discuss the different approaches to thyroid FNA cytology employed in various countries such as Australia, Canada, China, Korea, Portugal, Switzerland, Taiwan, Thailand, Turkey, Ukraine, the USA, UK, Italy and Japan. The book not only covers key principles of thyroid cytopathology but also addresses technical aspects such as procedural complications, liquid-based cytology, immunocytochemistry, staining procedures, and potential pitfalls. Case-based descriptions and clinical findings, radiologic imaging, cytology, and histopathologic diagnosis – all complemented by a wealth of detailed photographs – will help reader understand and overcome many common dilemmas in daily practice. As such, the book represents an indispensable reference work for all cytopathologists, especially those practicing thyroid cytopathology.
Algebraic Curves over a Finite Field
This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has been of fundamental importance to mathematics for many years and that has essential applications in areas such as finite geometry, number theory, error-correcting codes, and cryptology. Unlike other books, this one emphasizes the algebraic geometry rather than the function field approach to algebraic curves. The authors begin by developing the general theory of curves over any field, highlighting peculiarities occurring for positive characteristic and requiring of the reader only basic knowledge of algebra and geometry. The special properties that a curve...
