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Author : Anonim
Publisher : Unknown
Page : 666 pages
File Size : 53,8 Mb
Release : 1998
Category : Mathematics
ISBN : CORNELL:31924074896428
Author : Anonim
Publisher : Unknown
Page : 340 pages
File Size : 40,9 Mb
Release : 1995
Category : Mathematics
ISBN : UCSC:32106013969214
Author : Kazuyuki FUJII
Publisher : Scientific Research Publishing, Inc. USA
Page : 93 pages
File Size : 47,8 Mb
Release : 2018-08-30
Category : Mathematics
ISBN : 9781618965448
Deep Learning is the heart of Artificial Intelligence and will become a most important field in Data Science in the near future. Deep Learning has attracted much attention recently. It is usually carried out by the gradient descent method, which is not always easy to understand for beginners. When one starts studying Deep Learning first hurdles are (1) how to choose the learning rate (2) how to avoid being trapped by local minima (3) what is a deep meaning of the minibatch. In this book I plan to offer intuitive answers to these questions within my understandings. As a matter of course, when beginners study Deep Learning some mathematical knowledge from Calculus, Linear Algebra, Statistics and Information are required. In the book I gave minimum knowledge required for understanding Deep learning. After reading the book, readers are encouraged to challenge advanced books of Deep Learning (or Artificial Intelligence).
Author : Yokohama Kokuritsu Daigaku
Publisher : Unknown
Page : 292 pages
File Size : 46,8 Mb
Release : 1995
Category : Science
ISBN : RUTGERS:39030032660591
Author : Linfan Mao
Publisher : Infinite Study
Page : 134 pages
File Size : 46,7 Mb
Release : 2024-07-02
Category : Mathematics
ISBN : 8210379456XXX
International J. Mathematical Combinatorics is a fully refereed international journal. Topics in detail to be covered are: Smarandache multi-spaces with applications to other sciences, such as those of algebraic multi-systems, multi-metric spaces; Smarandache geometries; Differential Geometry; Geometry on manifolds; Topological graphs; Algebraic graphs; Random graphs; Combinatorial maps; Graph and map enumeration; Combinatorial designs; Combinatorial enumeration; Low Dimensional Topology; Differential Topology; Topology of Manifolds; Geometrical aspects of Mathematical Physics and Relations with Manifold Topology; Applications of Smarandache multi-spaces to theoretical physics; Applications of Combinatorics to mathematics and theoretical physics; Mathematical theory on gravitational fields; Mathematical theory on parallel universes; Other applications of Smarandache multi-space and combinatorics.
Author : Akshay Kumar,Mangey Ram,Hari Mohan Srivastava
Publisher : CRC Press
Page : 272 pages
File Size : 40,5 Mb
Release : 2022-09-01
Category : Mathematics
ISBN : 9781000793208
This book “Advanced Applications of Computational Mathematics” covers multidisciplinary studies containing advanced research in the field of computational and applied mathematics. The book includes research methodology, techniques, applications, and algorithms. The book will be very useful to advanced students, researchers and practitioners who are involved in the areas of computational and applied mathematics and engineering.
Author : A.M. Mathai,H.J. Haubold
Publisher : Springer
Page : 234 pages
File Size : 40,7 Mb
Release : 2017-07-25
Category : Mathematics
ISBN : 9783319599939
This textbook presents a rigorous approach to multivariable calculus in the context of model building and optimization problems. This comprehensive overview is based on lectures given at five SERC Schools from 2008 to 2012 and covers a broad range of topics that will enable readers to understand and create deterministic and nondeterministic models. Researchers, advanced undergraduate, and graduate students in mathematics, statistics, physics, engineering, and biological sciences will find this book to be a valuable resource for finding appropriate models to describe real-life situations. The first chapter begins with an introduction to fractional calculus moving on to discuss fractional integrals, fractional derivatives, fractional differential equations and their solutions. Multivariable calculus is covered in the second chapter and introduces the fundamentals of multivariable calculus (multivariable functions, limits and continuity, differentiability, directional derivatives and expansions of multivariable functions). Illustrative examples, input-output process, optimal recovery of functions and approximations are given; each section lists an ample number of exercises to heighten understanding of the material. Chapter three discusses deterministic/mathematical and optimization models evolving from differential equations, difference equations, algebraic models, power function models, input-output models and pathway models. Fractional integral and derivative models are examined. Chapter four covers non-deterministic/stochastic models. The random walk model, branching process model, birth and death process model, time series models, and regression type models are examined. The fifth chapter covers optimal design. General linear models from a statistical point of view are introduced; the Gauss–Markov theorem, quadratic forms, and generalized inverses of matrices are covered. Pathway, symmetric, and asymmetric models are covered in chapter six, the concepts are illustrated with graphs.
Author : Hari Mohan Srivastava
Publisher : MDPI
Page : 220 pages
File Size : 53,8 Mb
Release : 2021-01-20
Category : Science
ISBN : 9783039368822
This volume consists of a collection of 14 accepted submissions (including several invited feature articles) to the Special Issue of MDPI's journal Symmetry on the general subject area of integral transformations, operational calculus and their applications from many different parts around the world. The main objective of the Special Issue was to gather review, expository, and original research articles dealing with the state-of-the-art advances in integral transformations and operational calculus as well as their multidisciplinary applications, together with some relevance to the aspect of symmetry. Various families of fractional-order integrals and derivatives have been found to be remarkably important and fruitful, mainly due to their demonstrated applications in numerous diverse and widespread areas of mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional-order operators provide potentially useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics, as well as their extensions and generalizations in one or more variables.
Author : Anonim
Publisher : Unknown
Page : 642 pages
File Size : 52,8 Mb
Release : 2005
Category : Mathematics
ISBN : UOM:39015068687386
Author : Harendra Singh,Hari M Srivastava
Publisher : World Scientific
Page : 347 pages
File Size : 42,5 Mb
Release : 2023-10-18
Category : Mathematics
ISBN : 9789811278235
This book presents an introduction to the key topics in Real Analysis and makes the subject easily understood by the learners. The book is primarily useful for students of mathematics and engineering studying the subject of Real Analysis. It includes many examples and exercises at the end of chapters. This book is very authentic for students, instructors, as well as those doing research in areas demanding a basic knowledge of Real Analysis. It describes several useful topics in Real Analysis such as sets and functions, completeness, ordered field, neighborhoods, limit points of a set, open sets, closed sets, countable and uncountable sets, sequences of real numbers, limit, continuity and differentiability of real functions, uniform continuity, point-wise and uniform convergence of sequences and series of real functions, Riemann integration, improper integrals and metric spaces.
Author : Marc Hallin,David M. Mason,Dietmar Pfeifer,Josef G. Steinebach
Publisher : Springer
Page : 326 pages
File Size : 48,9 Mb
Release : 2015-04-07
Category : Mathematics
ISBN : 9783319124421
This Festschrift in honour of Paul Deheuvels’ 65th birthday compiles recent research results in the area between mathematical statistics and probability theory with a special emphasis on limit theorems. The book brings together contributions from invited international experts to provide an up-to-date survey of the field. Written in textbook style, this collection of original material addresses researchers, PhD and advanced Master students with a solid grasp of mathematical statistics and probability theory.
Author : Anonim
Publisher : Unknown
Page : 1092 pages
File Size : 51,5 Mb
Release : 1966
Category : Logistics, Naval
ISBN : CUB:U183052172861
Author : T. W. Anderson,Krishna B. Athreya,Donald L. Iglehart
Publisher : Academic Press
Page : 412 pages
File Size : 49,8 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483216003
Probability, Statistics, and Mathematics: Papers in Honor of Samuel Karlin is a collection of papers dealing with probability, statistics, and mathematics. Conceived in honor of Polish-born mathematician Samuel Karlin, the book covers a wide array of topics, from the second-order moments of a stationary Markov chain to the exponentiality of the local time at hitting times for reflecting diffusions. Smoothed limit theorems for equilibrium processes are also discussed. Comprised of 24 chapters, this book begins with an introduction to the second-order moments of a stationary Markov chain, paying particular attention to the consequences of the autoregressive structure of the vector-valued process and how to estimate the stationary probabilities from a finite sequence of observations. Subsequent chapters focus on A. Selberg's second beta integral and an integral of mehta; a normal approximation for the number of local maxima of a random function on a graph; nonnegative polynomials on polyhedra; and the fundamental period of the queue with Markov-modulated arrivals. The rate of escape problem for a class of random walks is also considered. This monograph is intended for students and practitioners in the fields of statistics, mathematics, and economics.
Author : Y Nakagami,Huzihiro Araki,Kimiaki Saito,Jun Tomiyama,H Choda
Publisher : World Scientific
Page : 450 pages
File Size : 52,5 Mb
Release : 1991-04-29
Category : Electronic
ISBN : 9789814556224
The topics covered in this proceedings include the C* — dynamical systems, the index theory of subfactors, the noncommutative differential geometry and the quantum groups. This volume presents an overview of the present status of the theory of operator algebras, as well as an outlook for its future development.
Author : Walter Roth
Publisher : Springer Science & Business Media
Page : 370 pages
File Size : 54,5 Mb
Release : 2009-02-05
Category : Mathematics
ISBN : 9783540875642
Integration theory deals with extended real-valued, vector-valued, or operator-valued measures and functions, but different approaches are used for each case. This book develops a general theory of integration that simultaneously deals with all three cases.