The Realm Of Sedenions

Download The Realm Of Sedenions full books in PDF, epub, and Kindle. Read online The Realm Of Sedenions ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

The Realm of Sedenions

Author : David R Ely
Publisher : David R Ely
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4./5 ( download)

DOWNLOAD NOW!

Book Synopsis The Realm of Sedenions by : David R Ely

Download or read book The Realm of Sedenions written by David R Ely and published by David R Ely. This book was released on 2024-05-22 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The Realm of Sedenions: A Look Into Higher-Complex Numbers" dives into the fascinating world of sedenions, a 16-dimensional number system with unique properties. The book explores the motivation behind studying sedenions, their formal definition with addition and non-commutative, non-associative multiplication, and how they differ from familiar number systems like real and complex numbers. While sedenions lack widespread practical applications yet, the book delves into potential areas of exploration in physics and computer science. It also highlights the challenges mathematicians face due to the complex multiplication rules and the lack of a straightforward geometric interpretation for these high-dimensional numbers. The book provides historical context by mentioning James Joseph Sylvester, who introduced sedenions. While directly visualizing 16 dimensions is difficult, the book discusses potential approaches like subspace projections and geometric analogies to gain a better understanding. Exercises tailored to the audience's level and a resource section for further exploration round out the book, making it a valuable resource for anyone curious about venturing beyond the realm of familiar numbers.

Nonassociative Algebras in Physics

Author : Jaak Lõhmus
Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Nonassociative Algebras in Physics by : Jaak Lõhmus

Download or read book Nonassociative Algebras in Physics written by Jaak Lõhmus and published by . This book was released on 1994 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On Quaternions and Octonions

Author : John H. Conway
Publisher : CRC Press
ISBN 13 : 1439864187
Total Pages : 172 pages
Book Rating : 4.4/5 (398 download)

DOWNLOAD NOW!

Book Synopsis On Quaternions and Octonions by : John H. Conway

Download or read book On Quaternions and Octonions written by John H. Conway and published by CRC Press. This book was released on 2003-01-23 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive historical introduction, the book illuminates the special properties of 3- and 4-dimensional Euclidean spaces using quaternions, leading to enumerations of the corresponding finite groups of symmetries. The second half of the book discusses the less f

Big Data Analytics for Internet of Things

Author : Tausifa Jan Saleem
Publisher : John Wiley & Sons
ISBN 13 : 1119740754
Total Pages : 402 pages
Book Rating : 4.1/5 (197 download)

DOWNLOAD NOW!

Book Synopsis Big Data Analytics for Internet of Things by : Tausifa Jan Saleem

Download or read book Big Data Analytics for Internet of Things written by Tausifa Jan Saleem and published by John Wiley & Sons. This book was released on 2021-04-20 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: BIG DATA ANALYTICS FOR INTERNET OF THINGS Discover the latest developments in IoT Big Data with a new resource from established and emerging leaders in the field Big Data Analytics for Internet of Things delivers a comprehensive overview of all aspects of big data analytics in Internet of Things (IoT) systems. The book includes discussions of the enabling technologies of IoT data analytics, types of IoT data analytics, challenges in IoT data analytics, demand for IoT data analytics, computing platforms, analytical tools, privacy, and security. The distinguished editors have included resources that address key techniques in the analysis of IoT data. The book demonstrates how to select the appropriate techniques to unearth valuable insights from IoT data and offers novel designs for IoT systems. With an abiding focus on practical strategies with concrete applications for data analysts and IoT professionals, Big Data Analytics for Internet of Things also offers readers: A thorough introduction to the Internet of Things, including IoT architectures, enabling technologies, and applications An exploration of the intersection between the Internet of Things and Big Data, including IoT as a source of Big Data, the unique characteristics of IoT data, etc. A discussion of the IoT data analytics, including the data analytical requirements of IoT data and the types of IoT analytics, including predictive, descriptive, and prescriptive analytics A treatment of machine learning techniques for IoT data analytics Perfect for professionals, industry practitioners, and researchers engaged in big data analytics related to IoT systems, Big Data Analytics for Internet of Things will also earn a place in the libraries of IoT designers and manufacturers interested in facilitating the efficient implementation of data analytics strategies.

Visualizing Quaternions

Author : Andrew J. Hanson
Publisher : Elsevier
ISBN 13 : 0080474772
Total Pages : 530 pages
Book Rating : 4.0/5 (84 download)

DOWNLOAD NOW!

Book Synopsis Visualizing Quaternions by : Andrew J. Hanson

Download or read book Visualizing Quaternions written by Andrew J. Hanson and published by Elsevier. This book was released on 2006-02-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduced 160 years ago as an attempt to generalize complex numbers to higher dimensions, quaternions are now recognized as one of the most important concepts in modern computer graphics. They offer a powerful way to represent rotations and compared to rotation matrices they use less memory, compose faster, and are naturally suited for efficient interpolation of rotations. Despite this, many practitioners have avoided quaternions because of the mathematics used to understand them, hoping that some day a more intuitive description will be available.The wait is over. Andrew Hanson's new book is a fresh perspective on quaternions. The first part of the book focuses on visualizing quaternions to provide the intuition necessary to use them, and includes many illustrative examples to motivate why they are important—a beautiful introduction to those wanting to explore quaternions unencumbered by their mathematical aspects. The second part covers the all-important advanced applications, including quaternion curves, surfaces, and volumes. Finally, for those wanting the full story of the mathematics behind quaternions, there is a gentle introduction to their four-dimensional nature and to Clifford Algebras, the all-encompassing framework for vectors and quaternions. - Richly illustrated introduction for the developer, scientist, engineer, or student in computer graphics, visualization, or entertainment computing. - Covers both non-mathematical and mathematical approaches to quaternions.

Before the Beginning

Author : Martin J. Rees
Publisher :
ISBN 13 : 9780743230995
Total Pages : 288 pages
Book Rating : 4.2/5 (39 download)

DOWNLOAD NOW!

Book Synopsis Before the Beginning by : Martin J. Rees

Download or read book Before the Beginning written by Martin J. Rees and published by . This book was released on 2002 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The experimental and theoretical successes of cosmology in recent years offer the most dramatic enlargement of our concept of the universe since astronomers first realised the Sun's true place among the stars. In this groundbreaking, thought-provoking and accessible book Professor Sir Martin Rees argues that our universe is just one element in an infinite ensemble, a cosmic archipelago where impassable barriers prohibit communication between the islands. Our 'home universe' is an exceptional member of this ensemble, however, not least because it contains creatures able to observe it and contemplate its nature, past and future. One of these is Rees himself: one of the most creative and original of contemporary scientists, and a wonderful guide to the mysteries of the cosmos.

A Treatise on the Theory of Screws

Author : Robert Stawell Ball
Publisher :
ISBN 13 :
Total Pages : 584 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis A Treatise on the Theory of Screws by : Robert Stawell Ball

Download or read book A Treatise on the Theory of Screws written by Robert Stawell Ball and published by . This book was released on 1900 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Wandering Towards a Goal

Author : Anthony Aguirre
Publisher : Springer
ISBN 13 : 3319757261
Total Pages : 251 pages
Book Rating : 4.3/5 (197 download)

DOWNLOAD NOW!

Book Synopsis Wandering Towards a Goal by : Anthony Aguirre

Download or read book Wandering Towards a Goal written by Anthony Aguirre and published by Springer. This book was released on 2018-05-30 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of prize-winning essays addresses the controversial question of how meaning and goals can emerge in a physical world governed by mathematical laws. What are the prerequisites for a system to have goals? What makes a physical process into a signal? Does eliminating the homunculus solve the problem? The three first-prize winners, Larissa Albantakis, Carlo Rovelli and Jochen Szangolies tackle exactly these challenges, while many other aspects (agency, the role of the observer, causality versus teleology, ghosts in the machine etc.) feature in the other award winning contributions. All contributions are accessible to non-specialists. These seventeen stimulating and often entertaining essays are enhanced versions of the prize-winning entries to the FQXi essay competition in 2017.The Foundational Questions Institute, FQXi, catalyzes, supports, and disseminates research on questions at the foundations of physics and cosmology, particularly new frontiers and innovative ideas integral to a deep understanding of reality, but unlikely to be supported by conventional funding sources.

Origins of Osiris and his cult

Author : John Gwyn Griffiths
Publisher : BRILL
ISBN 13 : 9004378588
Total Pages : 301 pages
Book Rating : 4.0/5 (43 download)

DOWNLOAD NOW!

Book Synopsis Origins of Osiris and his cult by : John Gwyn Griffiths

Download or read book Origins of Osiris and his cult written by John Gwyn Griffiths and published by BRILL. This book was released on 2018-08-14 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preliminary Material /J. Gwyn Griffiths -- The Original Myth /J. Gwyn Griffiths -- The Original Cult /J. Gwyn Griffiths -- An Upper Egyptian God of The Royal Dead /J. Gwyn Griffiths -- The Association with Water and Vegetation /J. Gwyn Griffiths -- The Ruler and Judge of the Dead /J. Gwyn Griffiths -- The Cult and the Society /J. Gwyn Griffiths -- An Embryonic System of Salvation /J. Gwyn Griffiths -- Addenda /J. Gwyn Griffiths -- Bibliography /J. Gwyn Griffiths -- Index of Texts Cited /J. Gwyn Griffiths -- General Index /J. Gwyn Griffiths -- Linguistic Indices /J. Gwyn Griffiths.

Non-Associative Algebra and Its Applications

Author : Lev Sabinin
Publisher : CRC Press
ISBN 13 : 1420003453
Total Pages : 553 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!

Book Synopsis Non-Associative Algebra and Its Applications by : Lev Sabinin

Download or read book Non-Associative Algebra and Its Applications written by Lev Sabinin and published by CRC Press. This book was released on 2006-01-13 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions derived from presentations at an international conference, Non-Associative Algebra and Its Applications explores a wide range of topics focusing on Lie algebras, nonassociative rings and algebras, quasigroups, loops, and related systems as well as applications of nonassociative algebra to geometry, physics, and natural sciences.

Complex Numbers in n Dimensions

Author : S. Olariu
Publisher : Elsevier
ISBN 13 : 0080529585
Total Pages : 286 pages
Book Rating : 4.0/5 (85 download)

DOWNLOAD NOW!

Book Synopsis Complex Numbers in n Dimensions by : S. Olariu

Download or read book Complex Numbers in n Dimensions written by S. Olariu and published by Elsevier. This book was released on 2002-06-20 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two distinct systems of hypercomplex numbers in n dimensions are introduced in this book, for which the multiplication is associative and commutative, and which are rich enough in properties such that exponential and trigonometric forms exist and the concepts of analytic n-complex function, contour integration and residue can be defined.The first type of hypercomplex numbers, called polar hypercomplex numbers, is characterized by the presence in an even number of dimensions greater or equal to 4 of two polar axes, and by the presence in an odd number of dimensions of one polar axis. The other type of hypercomplex numbers exists as a distinct entity only when the number of dimensions n of the space is even, and since the position of a point is specified with the aid of n/2-1 planar angles, these numbers have been called planar hypercomplex numbers.The development of the concept of analytic functions of hypercomplex variables was rendered possible by the existence of an exponential form of the n-complex numbers. Azimuthal angles, which are cyclic variables, appear in these forms at the exponent, and lead to the concept of n-dimensional hypercomplex residue. Expressions are given for the elementary functions of n-complex variable. In particular, the exponential function of an n-complex number is expanded in terms of functions called in this book n-dimensional cosexponential functionsof the polar and respectively planar type, which are generalizations to n dimensions of the sine, cosine and exponential functions.In the case of polar complex numbers, a polynomial can be written as a product of linear or quadratic factors, although it is interesting that several factorizations are in general possible. In the case of planar hypercomplex numbers, a polynomial can always be written as a product of linear factors, although, again, several factorizations are in general possible.The book presents a detailed analysis of the hypercomplex numbers in 2, 3 and 4 dimensions, then presents the properties of hypercomplex numbers in 5 and 6 dimensions, and it continues with a detailed analysis of polar and planar hypercomplex numbers in n dimensions. The essence of this book is the interplay between the algebraic, the geometric and the analytic facets of the relations.

Leonardo Pisano (Fibonacci)

Author : L. E. Sigler
Publisher : Elsevier
ISBN 13 : 0080886507
Total Pages : 147 pages
Book Rating : 4.0/5 (88 download)

DOWNLOAD NOW!

Book Synopsis Leonardo Pisano (Fibonacci) by : L. E. Sigler

Download or read book Leonardo Pisano (Fibonacci) written by L. E. Sigler and published by Elsevier. This book was released on 2014-06-28 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Book of Squares by Fibonacci is a gem in the mathematical literature and one of the most important mathematical treatises written in the Middle Ages. It is a collection of theorems on indeterminate analysis and equations of second degree which yield, among other results, a solution to a problem proposed by Master John of Palermo to Leonardo at the Court of Frederick II. The book was dedicated and presented to the Emperor at Pisa in 1225. Dating back to the 13th century the book exhibits the early and continued fascination of men with our number system and the relationship among numbers with special properties such as prime numbers, squares, and odd numbers. The faithful translation into modern English and the commentary by the translator make this book accessible to professional mathematicians and amateurs who have always been intrigued by the lure of our number system.

Clifford Algebras and Spinors

Author : Pertti Lounesto
Publisher : Cambridge University Press
ISBN 13 : 0521005515
Total Pages : 352 pages
Book Rating : 4.5/5 (21 download)

DOWNLOAD NOW!

Book Synopsis Clifford Algebras and Spinors by : Pertti Lounesto

Download or read book Clifford Algebras and Spinors written by Pertti Lounesto and published by Cambridge University Press. This book was released on 2001-05-03 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of a popular work offering a unique introduction to Clifford algebras and spinors. The beginning chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This edition has three new chapters, including material on conformal invariance and a history of Clifford algebras.

Division Algebras:

Author : G.M. Dixon
Publisher : Springer Science & Business Media
ISBN 13 : 1475723156
Total Pages : 242 pages
Book Rating : 4.4/5 (757 download)

DOWNLOAD NOW!

Book Synopsis Division Algebras: by : G.M. Dixon

Download or read book Division Algebras: written by G.M. Dixon and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: I don't know who Gigerenzer is, but he wrote something very clever that I saw quoted in a popular glossy magazine: "Evolution has tuned the way we think to frequencies of co-occurances, as with the hunter who remembers the area where he has had the most success killing game." This sanguine thought explains my obsession with the division algebras. Every effort I have ever made to connect them to physics - to the design of reality - has succeeded, with my expectations often surpassed. Doubtless this strong statement is colored by a selective memory, but the kind of game I sought, and still seek, seems to frowst about this particular watering hole in droves. I settled down there some years ago and have never feIt like Ieaving. This book is about the beasts I selected for attention (if you will, to ren der this metaphor politically correct, let's say I was a nature photographer), and the kind of tools I had to develop to get the kind of shots Iwanted (the tools that I found there were for my taste overly abstract and theoretical). Half of thisbook is about these tools, and some applications thereof that should demonstrate their power. The rest is devoted to a demonstration of the intimate connection between the mathematics of the division algebras and the Standard Model of quarks and leptons with U(l) x SU(2) x SU(3) gauge fields, and the connection of this model to lO-dimensional spacetime implied by the mathematics.

Transformations and Projections in Computer Graphics

Author : David Salomon
Publisher : Springer Science & Business Media
ISBN 13 : 1846286204
Total Pages : 284 pages
Book Rating : 4.8/5 (462 download)

DOWNLOAD NOW!

Book Synopsis Transformations and Projections in Computer Graphics by : David Salomon

Download or read book Transformations and Projections in Computer Graphics written by David Salomon and published by Springer Science & Business Media. This book was released on 2007-01-21 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces perspective, and discusses the mathematics of perspective in a detailed, yet accessible style. It also reviews nonlinear projections, including the fisheye, panorama, and map projections frequently used to enhance digital images. Topics and features include a complete and self-contained presentation of concepts, principles, and methods; a 12-page colour section, and numerous figures. This essential resource for computer professionals both within and outside the field of Computer Graphics is also suitable for graduates and advanced undergraduates in Computer Graphics and Computer-Aided Design. Key ideas are introduced, examined and illustrated by figures and examples, and reinforced through solved exercises.

Higher Operads, Higher Categories

Author : Tom Leinster
Publisher : Cambridge University Press
ISBN 13 : 0521532159
Total Pages : 451 pages
Book Rating : 4.5/5 (215 download)

DOWNLOAD NOW!

Book Synopsis Higher Operads, Higher Categories by : Tom Leinster

Download or read book Higher Operads, Higher Categories written by Tom Leinster and published by Cambridge University Press. This book was released on 2004-07-22 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of higher dimensional category theory for graduate students and researchers in mathematics and mathematical physics.

Topological Geometrodynamics

Author : Matti Pitkanen
Publisher : Bentham Science Publishers
ISBN 13 : 1681081792
Total Pages : 1235 pages
Book Rating : 4.6/5 (81 download)

DOWNLOAD NOW!

Book Synopsis Topological Geometrodynamics by : Matti Pitkanen

Download or read book Topological Geometrodynamics written by Matti Pitkanen and published by Bentham Science Publishers. This book was released on 2016-03-03 with total page 1235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological geometrodynamics (TGD) is a modification of the theory of general relativity inspired by the problems related to the definition of inertial and gravitational energies in the earlier hypotheses. TGD is also a generalization of super string models. TGD brings forth an elegant theoretical projection of reality and builds upon the work by renowned scientists (Wheeler, Feynman, Penrose, Einstein, Josephson to name a few). In TGD, Physical space-time planes are visualized as four-dimensional surfaces in a certain 8-dimensional space (H). The choice of H is fixed by symmetries of standard model and leads to a geometric mapping of known classical fields and elementary particle numbers. TGD differs from Einstein’s geometrodynamics in the way space-time planes or ‘sheets’ are lumped together. Extending the theory based on fusing number concepts implies a further generalisation of the space-time concept allowing the identification of space-time correlates of cognition and intentionality. Additionally, zero energy ontology forces an extension of quantum measurement theory to a theory of consciousness and a hierarchy of phases is identified. Dark matter is thus predicted with far reaching implications for the understanding of consciousness and living systems. Therefore, it sets a solid foundation for modeling our universe in geometric terms. Topological Geometrodynamics: An Overview explains basic and advanced concepts about TGD. The book covers introductory information and classical TGD concepts before delving into twistor-space theory, particle physics, infinite-dimensional spinor geometry, generalized number theory, Planck constants, and the applications of TGD theory in research. The book is a valuable guide to TDG theory for researchers and advanced graduates in theoretical physics and cosmology.