Contemporary Developments in Finite Fields and Applications

Author: Anne Canteaut
Publisher: World Scientific
ISBN: 9814719277
Format: PDF, Kindle
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The volume is a collection of 20 refereed articles written in connection with lectures presented at the 12th International Conference on Finite Fields and Their Applications ("Fq12") at Skidmore College in Saratoga Springs, NY in July 2015. Finite fields are central to modern cryptography and secure digital communication, and hence must evolve rapidly to keep pace with new technologies. Topics in this volume include cryptography, coding theory, structure of finite fields, algorithms, curves over finite fields, and further applications. Contributors will include: Antoine Joux (Fondation Partenariale de l'UPMC, France); Gary Mullen (Penn State University, USA); Gohar Kyureghyan (Otto-von-Guericke Universität, Germany); Gary McGuire (University College Dublin, Ireland); Michel Lavrauw (Università degli Studi di Padova, Italy); Kirsten Eisentraeger (Penn State University, USA); Renate Scheidler (University of Calgary, Canada); Michael Zieve (University of Michigan, USA). Contents:Divisibility of L-Polynomials for a Family of Curves (I Blanco-Chacón, R Chapman, S Fordham and G McGuire)Divisibility of Exponential Sums Associated to Binomials Over 𝔽p (F Castro, R Figueroa, P Guan and J Ortiz-Ubarri)Dickson Polynomials that are Involutions (P Charpin, S Mesnager and S Sarkar)Constructing Elliptic Curves and Curves of Genus 2 over Finite Fields (K Eisenträger)A Family of Plane Curves with Two or More Galois Points in Positive Characteristic (S Fukasawa)Permutation Polynomials of 𝔽q2 of the Form αX + Xr(q-1)+1 (X-D Hou)Character Sums and Generating Sets (M-D A Huang and L Liu)Nearly Sparse Linear Algebra and Application to Discrete Logarithms Computations (A Joux and C Pierrot)Full Degree Two del Pezzo Surfaces over Small Finite Fields (A Knecht and K Reyes)Diameter of Some Monomial Digraphs (A Kodess, F Lazebnik, S Smith and J Sporre)Permutation Polynomials of the Form X + γTr(Xk) (G Kyureghyan and M Zieve)Scattered Spaces in Galois Geometry (M Lavrauw)On the Value Set of Small Families of Polynomials over a Finite Field, III (G Matera, M Pérez and Melina Privitelli)The Density of Unimodular Matrices over Integrally Closed Subrings of Function Fields (G Micheli and R Schnyder)Some Open Problems Arising from My Recent Finite Field Research (G L Mullen)On Coefficients of Powers of Polynomials and Their Compositions over Finite Fields (G L Mullen, A Muratović-Ribić and Q Wang)On the Structure of Certain Reduced Linear Modular Systems (E Orozco)Finding a Gröbner Basis for the Ideal of Recurrence Relations on m-Dimensional Periodic Arrays (I M Rubio, M Sweedler and C Heegard)An Introduction to Hyperelliptic Curve Arithmetic (R Scheidler)On the Existence of Aperiodic Complementary Hexagonal Lattice Arrays (Y Tan and G Gong) Readership: Researchers in combinatorics and graph theory, numerical analysis and computational mathematics, and coding theory.

Finite Fields and Applications

Author: Gary L. Mullen
Publisher: American Mathematical Soc.
ISBN: 0821843095
Format: PDF
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This volume contains the proceedings of the Eighth International Conference on Finite Fields and Applications, held in Melbourne, Australia, July 9-13, 2007. It contains 5 invited survey papers as well as original research articles covering various theoretical and applied areas related to finite fields. Finite fields, and the computational and algorithmic aspects of finite field problems, continue to grow in importance and interest in the mathematical and computer science communities because of their applications in so many diverse areas. In particular, finite fields now play very important roles in number theory, algebra, and algebraic geometry, as well as in computer science, statistics, and engineering. Areas of application include algebraic coding theory, cryptology, and combinatorial design theory.

Arithmetic Geometry Cryptography and Coding Theory

Author: Alp Bassa
Publisher: American Mathematical Soc.
ISBN: 1470428105
Format: PDF, ePub, Docs
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This volume contains the proceedings of the 15th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory (AGCT), held at the Centre International de Rencontres Mathématiques in Marseille, France, from May 18–22, 2015. Since the first meeting almost 30 years ago, the biennial AGCT meetings have been one of the main events bringing together researchers interested in explicit aspects of arithmetic geometry and applications to coding theory and cryptography. This volume contains original research articles reflecting recent developments in the field.

Finite Fields

Author: Rudolf Lidl
Publisher: Cambridge University Press
ISBN: 9780521392310
Format: PDF
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This book is devoted entirely to the theory of finite fields.

Model Based Development

Author: H.S. Lahman
Publisher: Pearson Education
ISBN: 0132757184
Format: PDF, Kindle
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A Proven Development Methodology That Delivers On the Promise of Model-Based Approaches Software continues to become more and more complex, while software consumers’ expectations for performance, reliability, functionality, and speed-to-market are also growing exponentially. H. S. Lahman shows how to address all these challenges by integrating proven object-oriented techniques with a powerful new methodology. Model-Based Development represents Lahman’s half century of experience as a pioneering software innovator. Building on Shlaer-Mellor’s work, Lahman’s unique approach fully delivers on the promise of models and is firmly grounded in the realities of contemporary development, design, and architecture. The book introduces the methodology’s core principles, showing how it separates each of a project’s concerns, enabling practitioners to optimize each domain for its unique needs and characteristics. Next, it demonstrates how to perform more effective object-oriented analysis, emphasizing abstraction, disciplined partitioning, modeling invariants, finite state machines, and efficient communications among program units. Coverage includes How we got here: a historical perspective and pragmatic review of object principles Problem space versus computing space: reflecting crucial distinctions between customer and computer environments in your designs Application partitioning: why it matters and how do it well Building static models that describe basic application structure Modeling classes, class responsibilities, associations, and both referential and knowledge integrity Creating dynamic models that describe behavior via finite state machines Successfully using abstract action languages (AALs) and action data flow diagrams (ADFDs) Throughout, Lahman illuminates theoretical issues in practical terms, explaining why things are done as they are, without demanding rigorous math. His focus is on creating implementation-independent models that resolve functional requirements completely, precisely, and unambiguously. Whether you’re a developer, team leader, architect, or designer, Lahman’s techniques will help you build software that’s more robust, easier to maintain, supports larger-scale reuse, and whose specification is rigorous enough to enable full-scale automatic code generation.

Theory and Applications of Computational Chemistry

Author: Clifford Dykstra
Publisher: Elsevier
ISBN: 0080456243
Format: PDF, ePub, Docs
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Computational chemistry is a means of applying theoretical ideas using computers and a set of techniques for investigating chemical problems within which common questions vary from molecular geometry to the physical properties of substances. Theory and Applications of Computational Chemistry: The First Forty Years is a collection of articles on the emergence of computational chemistry. It shows the enormous breadth of theoretical and computational chemistry today and establishes how theory and computation have become increasingly linked as methodologies and technologies have advanced. Written by the pioneers in the field, the book presents historical perspectives and insights into the subject, and addresses new and current methods, as well as problems and applications in theoretical and computational chemistry. Easy to read and packed with personal insights, technical and classical information, this book provides the perfect introduction for graduate students beginning research in this area. It also provides very readable and useful reviews for theoretical chemists. * Written by well-known leading experts * Combines history, personal accounts, and theory to explain much of the field of theoretical and compuational chemistry * Is the perfect introduction to the field

Contemporary Issues in Cultural Heritage Tourism

Author: Jamie Kaminski
Publisher: Routledge
ISBN: 1136663215
Format: PDF, ePub
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The perceived quality of a destination’s cultural offering has long been a significant factor in determining tourist choices of destination. More recently, the need to present touristic offerings that include cultural experiences and heritage has become widely recognised, that this aspect of the tourism experience is an important differentiator of destinations, as well as being amongst the most manageable. This has also led to an increase in the management of such experiences through special exhibitions, events and festivals, as well as through ensuring more routine and controlled access to heritage sites. Reflecting the increasing application of cultural heritage as a driver for tourism and development, this book provides for the first time a cohesive volume on the subject that is theoretically rich, practically applied and empirically grounded. Written by expert scholars and practitioners in the field, the book covers a broad range of theoretical perspectives of cultural heritage tourism; regeneration, policy, stakeholders, marketing, socio-economic development, impacts, sustainability, volunteering and ICT. It takes a broad view, integrating international examples of sites, monuments as well as intangible cultural heritage, motor vehicle heritage events and modern art museums. This significant book furthers knowledge of the theory and application of tourism within the context of cultural heritage and will be of interest to students, researchers and practitioners in a range of disciplines.

Elasticity

Author: Martin H. Sadd
Publisher: Academic Press
ISBN: 0124104320
Format: PDF
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Elasticity: Theory, Applications, and Numerics, Third Edition, continues its market-leading tradition of concisely presenting and developing the linear theory of elasticity, moving from solution methodologies, formulations, and strategies into applications of contemporary interest, such as fracture mechanics, anisotropic and composite materials, micromechanics, nonhomogeneous graded materials, and computational methods. Developed for a one- or two-semester graduate elasticity course, this new edition has been revised with new worked examples and exercises, and new or expanded coverage of areas such as spherical anisotropy, stress contours, isochromatics, isoclinics, and stress trajectories. Using MATLAB software, numerical activities in the text are integrated with analytical problem solutions. These numerics aid in particular calculations, graphically present stress and displacement solutions to problems of interest, and conduct simple finite element calculations, enabling comparisons with previously studied analytical solutions. Online ancillary support materials for instructors include a solutions manual, image bank, and a set of PowerPoint lecture slides. Thorough yet concise introduction to linear elasticity theory and applications Only text providing detailed solutions to problems of nonhomogeneous/graded materials New material on stress contours/lines, contact stresses, curvilinear anisotropy applications Further and new integration of MATLAB software Addition of many new exercises Comparison of elasticity solutions with elementary theory, experimental data, and numerical simulations Online solutions manual and downloadable MATLAB code

Psychometrics and Psychological Assessment

Author: Carina Coulacoglou
Publisher: Academic Press
ISBN: 0128024909
Format: PDF
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Psychometrics and Psychological Assessment: Principles and Applications reports on contemporary perspectives and models on psychological assessment and their corresponding measures. It highlights topics relevant to clinical and neuropsychological domains, including cognitive abilities, adaptive behavior, temperament, and psychopathology.Moreover, the book examines a series of standard as well as novel methods and instruments, along with their psychometric properties, recent meta-analytic studies, and their cross-cultural applications. Discusses psychometric issues and empirical studies that speak to same Explores the family context in relation to children’s behavioral outcomes Features major personality measures as well as their cross cultural variations Identifies the importance of coping and resilience in assessing personality and psychopathology Examines precursors of aggression and violence for prediction and prevention