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Computer Algebra in Quantum Field Theory
The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields: mathematics, computer science and theoretical physics; the articles are written by mathematicians and physicists with the goal that both groups can learn from the other field, including most recent developments. Besides that, the collection of articles also serves as an up-to-date handbook of available algorithms/software that are commonly used or might be useful in the fields of mathematics, physics or other sciences.
Anti-Differentiation and the Calculation of Feynman Amplitudes
This volume comprises review papers presented at the Conference on Antidifferentiation and the Calculation of Feynman Amplitudes, held in Zeuthen, Germany, in October 2020, and a few additional invited reviews. The book aims at comprehensive surveys and new innovative results of the analytic integration methods of Feynman integrals in quantum field theory. These methods are closely related to the field of special functions and their function spaces, the theory of differential equations and summation theory. Almost all of these algorithms have a strong basis in computer algebra. The solution of the corresponding problems are connected to the analytic management of large data in the range of Giga- to Terabytes. The methods are widely applicable to quite a series of other branches of mathematics and theoretical physics.
Computer Algebra in Scientific Computing
This book constitutes the proceedings of the 17th International Workshop on Computer Algebra in Scientific Computing, CASC 2015, held in Aachen, Germany, in September 2015. The 35 full papers presented in this volume were carefully reviewed and selected from 42 submissions. They deal with the ongoing progress both in theoretical computer algebra and its expanding applications. New and closer interactions are fostered by combining the area of computer algebra methods and systems and the application of the tools of computer algebra for the solution of problems in scientific computing.
D-Finite Functions
Defined as solutions of linear differential or difference equations with polynomial coefficients, D-finite functions play an important role in various areas of mathematics. This book is a comprehensive introduction to the theory of these functions with a special emphasis on computer algebra algorithms for computing with them: algorithms for detecting relations from given data, for evaluating D-finite functions, for executing closure properties, for obtaining various kinds of “explicit” expressions, for factoring operators, and for definite and indefinite symbolic summation and integration are explained in detail. The book comes “with batteries included” in the sense that it requires ...
Mathematical Software – ICMS 2016
This book constitutes the proceedings of the 5th International Conference on Mathematical Software, ICMS 2015, held in Berlin, Germany, in July 2016. The 68 papers included in this volume were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections named: univalent foundations and proof assistants; software for mathematical reasoning and applications; algebraic and toric geometry; algebraic geometry in applications; software of polynomial systems; software for numerically solving polynomial systems; high-precision arithmetic, effective analysis, and special functions; mathematical optimization; interactive operation to scientific artwork and mathematical reasoning; information services for mathematics: software, services, models, and data; semDML: towards a semantic layer of a world digital mathematical library; miscellanea.
Molecular Beam Epitaxy
Molecular Beam Epitaxy (MBE): From Research to Mass Production, Second Edition, provides a comprehensive overview of the latest MBE research and applications in epitaxial growth, along with a detailed discussion and 'how to' on processing molecular or atomic beams that occur on the surface of a heated crystalline substrate in a vacuum. The techniques addressed in the book can be deployed wherever precise thin-film devices with enhanced and unique properties for computing, optics or photonics are required. It includes new semiconductor materials, new device structures that are commercially available, and many that are at the advanced research stage. This second edition covers the advances mad...
An Operator Identity
Let M be a matrix, Let M+ be formed by setting equal to zero all elements of M on or below the diagonal, and Let M- = M - M+. Equations P = I + s(MP)+ and Q = I + s(QM)- are investigated and their solutions applied to certain problems in the theory of probability where M is the transition probability matrix of a Markov chain. Extension to certain operators M is carried through.
Performance Psychology
This book integrates findings from across domains in performance psychology to focus on core research on what influences peak and non-peak performance. The book explores basic and applied research identifying cognition-action interactions, perception-cognition interactions, emotion-cognition interactions, and perception-action interactions. The book explores performance in sports, music, and the arts both for individuals and teams/groups, looking at the influence of cognition, perception, personality, motivation and drive, attention, stress, coaching, and age. This comprehensive work includes contributions from the US, UK, Canada, Germany, and Australia. - Integrates research findings found across domains in performance psychology - Includes research from sports, music, the arts, and other applied settings - Identifies conflicts between cognition, action, perception, and emotion - Explores influences on both individual and group/team performance - Investigates what impacts peak performance and error production
Methods of Cancer Diagnosis, Therapy and Prognosis
The enormity of the global healthcare costs vical. One-fifth of all cancers worldwide as a result of cancer infliction cannot be are caused by a chronic infection, for overemphasized. There are more than 100 example, human papilloma virus (HPV) types of cancers; any part of the body can causes cervical cancer and hepatitis B be affected. More than 11 million people virus (HBV) causes liver cancer. Tobacco are diagnosed with cancer every year, and use is the most common preventable cause it is estimated that there will be 16 mil- of cancer in the world. Approximately, lion new cases per year by the year 2020. 168,000 cancer deaths are expected to be In 2005, 7. 6 million people died of can- c...
Proceedings of the 13th World Conference on Titanium
This book contains the Proceedings of the 13th World Conference on Titanium.
