NIST Handbook of Mathematical Functions Hardback and CD-ROM

NIST Handbook of Mathematical Functions Hardback and CD-ROM PDF Author: Frank W. J. Olver
Publisher: Cambridge University Press
ISBN: 0521192250
Category : Mathematics
Languages : en
Pages : 968

Get Book

Book Description
The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.

NIST Handbook of Mathematical Functions Hardback and CD-ROM

NIST Handbook of Mathematical Functions Hardback and CD-ROM PDF Author: Frank W. J. Olver
Publisher: Cambridge University Press
ISBN: 0521192250
Category : Mathematics
Languages : en
Pages : 968

Get Book

Book Description
The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.

NIST Handbook of Mathematical Functions Paperback and CD-ROM

NIST Handbook of Mathematical Functions Paperback and CD-ROM PDF Author: Frank W. J. Olver
Publisher: Cambridge University Press
ISBN: 9780521140638
Category : Mathematics
Languages : en
Pages : 0

Get Book

Book Description
Modern developments in theoretical and applied science depend on knowledge of the properties of mathematical functions, from elementary trigonometric functions to the multitude of special functions. These functions appear whenever natural phenomena are studied, engineering problems are formulated, and numerical simulations are performed. They also crop up in statistics, financial models, and economic analysis. Using them effectively requires practitioners to have ready access to a reliable collection of their properties. This handbook results from a 10-year project conducted by the National Institute of Standards and Technology with an international group of expert authors and validators. Printed in full color, it is destined to replace its predecessor, the classic but long-outdated Handbook of Mathematical Functions, edited by Abramowitz and Stegun. Included with every copy of the book is a CD with a searchable PDF of each chapter. Check out the news release and the video for this new book!

Physics of Molecular and Cellular Processes

Physics of Molecular and Cellular Processes PDF Author: Krastan B. Blagoev
Publisher: Springer Nature
ISBN: 3030986063
Category : Science
Languages : en
Pages : 265

Get Book

Book Description
This is a graduate-level introduction to quantitative concepts and methods in the science of living systems. It relies on a systems approach for understanding the physical principles operating in biology. Physical phenomena are treated at the appropriate spatio-temporal scale and phenomenological equations are used in order to reflect the system of interest. Biological details enter to the degree necessary for understanding specific processes, but in many cases the approach is not reductionist. This is in line with the approach taken by physics to many other complex systems. The book bridges the gap between graduate students’ general physics courses and research papers published in professional journals. It gives students the foundations needed for independent research in biological physics and for working in collaborations aimed at quantitative biology and biomedical research. Also included are modern mathematical and theoretical physics methods, giving the student a broad knowledge of tools that can shed light on the sophisticated mechanisms brought forth by evolution in biological systems. The content covers many aspects that have been the focus of active research over the past twenty years, reflecting the authors' experience as leading researchers and teachers in this field.

Wavelet Based Approximation Schemes for Singular Integral Equations

Wavelet Based Approximation Schemes for Singular Integral Equations PDF Author: Madan Mohan Panja
Publisher: CRC Press
ISBN: 0429534280
Category : Mathematics
Languages : en
Pages : 466

Get Book

Book Description
Many mathematical problems in science and engineering are defined by ordinary or partial differential equations with appropriate initial-boundary conditions. Among the various methods, boundary integral equation method (BIEM) is probably the most effective. It’s main advantage is that it changes a problem from its formulation in terms of unbounded differential operator to one for an integral/integro-differential operator, which makes the problem tractable from the analytical or numerical point of view. Basically, the review/study of the problem is shifted to a boundary (a relatively smaller domain), where it gives rise to integral equations defined over a suitable function space. Integral equations with singular kernels areamong the most important classes in the fields of elasticity, fluid mechanics, electromagnetics and other domains in applied science and engineering. With the advancesin computer technology, numerical simulations have become important tools in science and engineering. Several methods have been developed in numerical analysis for equations in mathematical models of applied sciences. Widely used methods include: Finite Difference Method (FDM), Finite Element Method (FEM), Finite Volume Method (FVM) and Galerkin Method (GM). Unfortunately, none of these are versatile. Each has merits and limitations. For example, the widely used FDM and FEM suffers from difficulties in problem solving when rapid changes appear in singularities. Even with the modern computing machines, analysis of shock-wave or crack propagations in three dimensional solids by the existing classical numerical schemes is challenging (computational time/memory requirements). Therefore, with the availability of faster computing machines, research into the development of new efficient schemes for approximate solutions/numerical simulations is an ongoing parallel activity. Numerical methods based on wavelet basis (multiresolution analysis) may be regarded as a confluence of widely used numerical schemes based on Finite Difference Method, Finite Element Method, Galerkin Method, etc. The objective of this monograph is to deal with numerical techniques to obtain (multiscale) approximate solutions in wavelet basis of different types of integral equations with kernels involving varieties of singularities appearing in the field of elasticity, fluid mechanics, electromagnetics and many other domains in applied science and engineering.

Learning with Fractional Orthogonal Kernel Classifiers in Support Vector Machines

Learning with Fractional Orthogonal Kernel Classifiers in Support Vector Machines PDF Author: Jamal Amani Rad
Publisher: Springer Nature
ISBN: 9811965536
Category : Mathematics
Languages : en
Pages : 312

Get Book

Book Description
This book contains select chapters on support vector algorithms from different perspectives, including mathematical background, properties of various kernel functions, and several applications. The main focus of this book is on orthogonal kernel functions, and the properties of the classical kernel functions—Chebyshev, Legendre, Gegenbauer, and Jacobi—are reviewed in some chapters. Moreover, the fractional form of these kernel functions is introduced in the same chapters, and for ease of use for these kernel functions, a tutorial on a Python package named ORSVM is presented. The book also exhibits a variety of applications for support vector algorithms, and in addition to the classification, these algorithms along with the introduced kernel functions are utilized for solving ordinary, partial, integro, and fractional differential equations. On the other hand, nowadays, the real-time and big data applications of support vector algorithms are growing. Consequently, the Compute Unified Device Architecture (CUDA) parallelizing the procedure of support vector algorithms based on orthogonal kernel functions is presented. The book sheds light on how to use support vector algorithms based on orthogonal kernel functions in different situations and gives a significant perspective to all machine learning and scientific machine learning researchers all around the world to utilize fractional orthogonal kernel functions in their pattern recognition or scientific computing problems.

Handbook of Mathematical Functions

Handbook of Mathematical Functions PDF Author: Milton Abramowitz
Publisher: Courier Corporation
ISBN: 9780486612720
Category : Mathematics
Languages : en
Pages : 1068

Get Book

Book Description
An extensive summary of mathematical functions that occur in physical and engineering problems

Fundamentals of Numerical Computation

Fundamentals of Numerical Computation PDF Author: Tobin A Driscoll
Publisher: SIAM
ISBN: 1611977010
Category : Mathematics
Languages : en
Pages : 615

Get Book

Book Description
Julia is an open-source and fast-growing programming language for scientific computing that offers clarity and ease of use for beginners but also speed and power for advanced applications. Fundamentals of Numerical Computation: Julia Edition provides a complete solution for teaching Julia in the context of numerical methods. It introduces the mathematics and use of algorithms for the fundamental problems of numerical computation: linear algebra, finding roots, approximating data and functions, and solving differential equations. A clear progression from simple to more advanced methods allows for use in either a one-semester course or a two-semester sequence. The book includes more than 40 functions and 160 examples fully coded in Julia and available for download, online supplemental content including tested source materials for student projects and in-class labs related to every chapter, and over 600 exercises, evenly split between mathematical and computational work, and solutions to most exercises for instructors.

Essays in Honor of Joon Y. Park

Essays in Honor of Joon Y. Park PDF Author: Yoosoon Chang
Publisher: Emerald Group Publishing
ISBN: 1837532087
Category : Business & Economics
Languages : en
Pages : 406

Get Book

Book Description
Volumes 45a and 45b of Advances in Econometrics honor Professor Joon Y. Park, who has made numerous and substantive contributions to the field of econometrics over a career spanning four decades since the 1980s and counting.

HCI in Business, Government and Organizations. Information Systems and Analytics

HCI in Business, Government and Organizations. Information Systems and Analytics PDF Author: Fiona Fui-Hoon Nah
Publisher: Springer
ISBN: 3030223388
Category : Computers
Languages : en
Pages : 500

Get Book

Book Description
This two-volume set LNCS 11588 and 11589 constitutes the refereed proceedings of the 6th International Conference on Business, Government, and Organizations, HCIBGO 2019, held in July 2019 as part of HCI International 2019 in Orlando, FL, USA. HCII 2019 received a total of 5029 submissions, of which 1275 papers and 209 posters were accepted for publication after a careful reviewing process. The 63 papers presented in these two volumes are organized in topical sections named: Electronic, Mobile and Ubiquitous Commerce, eBanking and Digital Money, Consumer Behaviour, Business Information Systems, Dashboards and Visualization, Social Media and Big Data Analytics in B

Blockchain and Artificial Intelligence Technologies for Smart Energy Systems

Blockchain and Artificial Intelligence Technologies for Smart Energy Systems PDF Author: Hongjian Sun
Publisher: CRC Press
ISBN: 1000965570
Category : Computers
Languages : en
Pages : 459

Get Book

Book Description
Present energy systems are undergoing a radical transformation, driven by the urgent need to address the climate change crisis. At the same time, we are witnessing the sharp growth of energy data and a revolution of advanced technologies, with artificial intelligence (AI) and Blockchain emerging as two of the most transformative technologies of our time. The convergence of these two technologies has the potential to create a paradigm shift in the energy sector, enabling the development of smart energy systems that are more resilient, efficient, and sustainable. This book situates itself at the forefront of this paradigm shift, providing a timely and comprehensive guide to AI and Blockchain technologies in the energy system. Moving from an introduction to the basic concepts of smart energy systems, this book proceeds to examine the key challenges facing the energy system, and how AI and Blockchain can be used to address these challenges. Research examples are presented to showcase the role and impact of these new technologies, while the latest developed testbeds are summarised and explained to help researchers accelerate their development of these technologies. This book is an indispensable guide to the current changes in the energy system, being of particular use to industry professionals, from researchers to management, looking to stay ahead of technological developments.