Octonion
Der Begriff Octonion ist im englisch-sprachigen Wikipedia aufgeführt. Dort heißt es dazu:

In mathematics, the octonions are a normed division algebra over the real numbers, usually represented by the capital letter O, using boldface O or blackboard bold \mathbb O. There are only four such algebras, the other three being the real numbers R, the complex numbers C, and the quaternions H. The octonions are the largest such algebra, with eight dimensions; twice the number of dimensions of the quaternions, of which they are an extension. They are noncommutative and nonassociative, but satisfy a weaker form of associativity, namely they are alternative.
Octonions are not as well known as the quaternions and complex numbers, which are much more widely studied and used. Despite this, they have some interesting properties and are related to a number of exceptional structures in mathematics, among them the exceptional Lie groups. Additionally, octonions have applications in fields such as string theory, special relativity, and quantum logic.


Dies ist ein Auszug aus dem Artikel Octonion der freien Enzyklopädie Wikipedia. In der Wikipedia ist eine Liste der Autoren verfügbar.
Auf de.wikipedia.org wurde der Artikel Octonion in den letzten 30 Tagen 3.464-mal aufgerufen. (Stand: 31.01.2015)
Oktave (Mathematik)
Dem Begriff Octonion aus dem englisch-sprachigen Wikipedia entspricht im deutsch-sprachigen Wikipedia der Begriff Oktave (Mathematik). Hier heißt es dazu:

Die (reellen) Oktaven, auch Oktonionen oder Cayleyzahlen, sind eine Erweiterung der Quaternionen und besitzen das Mengensymbol {\mathbb  {O}}. Sie entstehen durch die Anwendung des Verdopplungsverfahrens aus den Quaternionen und bilden einen Alternativkörper. Damit liefern sie als Koordinatenbereich ein Beispiel für eine echte, das heißt nichtdesarguessche Moufangebene in der synthetischen Geometrie.

Dies ist ein Auszug aus dem Artikel Oktave (Mathematik) der freien Enzyklopädie Wikipedia. In der Wikipedia ist eine Liste der Autoren verfügbar.
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Octonion - Wikipedia, the free encyclopedia
In mathematics, the Octonions are a normed division algebra over the real numbers, usually represented by the capital letter O, using boldface O or blackboard ...
en.wikipedia.org/wiki/Octonion
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Octonions - University of California,…
The Octonions are the largest of the four normed division algebras. While somewhat neglected due to their nonassociativity, they stand at the crossroads of many ...
math.ucr.edu/home/baez/octonions/
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Octonion -- from Wolfram MathWorld
The set of Octonions, also sometimes called Cayley numbers and denoted O, consists of the elements in a Cayley algebra. A typical Octonion is of the form a+bi_0+ci_1 ...
mathworld.wolfram.com/Octonion.html
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Split-octonion - Wikipedia, the free encyclopedia
In mathematics, the split-Octonions are an 8-dimensional nonassociative algebra over the real numbers. Unlike the standard Octonions, they contain non-zero ...
en.wikipedia.org/wiki/Split-octonion
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Christopher D. Long (octonion) on Twitter
The latest from Christopher D. Long (@Octonion). JMI Services data scientist and thoroughbred analyst; consultant for the Houston Rockets and a Major League ...
twitter.com/octonion
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Maths - Octonion - Martin Baker - EuclideanSpace
Octonions have been used in fields such as abstract algebra and topology but have not really made a big impact. In 1925 Wigner and John von Neumann tried  ...
www.euclideanspace.com/maths/algebra/realNormedAlgebra/octonion/
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Octonions
Octonions. The following brief introduction to the Octonions is adapted from any of several papers which can be found here, and which include further references ...
www.physics.orst.edu/~tevian/octonions/
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The Octonions Yet Another Essay
Here are some unapologetically rambling notes on Octonions. I like to play with these things more than I probably should, so I have collected some scraps here ...
homepages.wmich.edu/~drichter/octonions.htm
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On Quaternions and Octonions: Amazon.de: John Horton Conway ...
This book investigates the geometry of quaternion and Octonion algebras. Following a comprehensive historical introduction, the book illuminates the special ...
www.amazon.de/Quaternions-Octonions-John-Horton-Conway/dp/1568811349
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An octonion model for physics - Georgetown University
We explore some consequences of Octonion arithmetic for a hidden variables ... Octonion models are currently the focus of much work in the physics com-.
www9.georgetown.edu/faculty/kainen/octophys.pdf
Suchergebnisse für "Octonion"
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Octonion in der Wissenschaft
Azumaya-Algebren und Oktavenalgebren auf algebraischen ... - eDiss
21. Nov. 2013 ... Azumaya-Algebren und Oktavenalgebren auf algebraischen Varietäten. Azumaya algebras and Octonion algebras on algebraic varieties.
Susumu Ōkubo – Wikipedia
Ōkubo studierte ab 1949 an der Universität Tokio (Bachelor 1952) und ab 1954 an der ... Introduction to Octonion and other associative algebras in physics.
[PDF]Generalized Split-Octonion Electrodynamics
18 Nov 2010 ... dyons in terms of split Octonions and accordingly the split Octonion forms ... 08- December22, 2010: Universität Konstanz, Fachbereich Physik,.
Fields and Strings Seminar: Octonions and Quantum Gravity ...
Fields and Strings Seminar: Octonions and Quantum Gravity ... Afterwards he held a chair at the university of Hamburg before he finally took over the position as ...
[PDF]CV - Universität Konstanz
School of Mathematical Sciences, University College Dublin ... Sums of squares in certain quaternion and Octonion algebras,. C. R. Acad. Sci. Paris, Sér. I, 349, ...
CLIFFORD ver. 7 (with Bigebra, Cliplus, Define, GTP, and Octonion ...
Universität Konstanz, Fachbereich Physik, Fach M678 78457 Konstanz ... Octonion - for computations with Octonions and Octonionic matrices. Permission is ...
CLIFFORD ver. 8 (with Bigebra, Cliplus, Define, GTP, and Octonion ...
Universität Konstanz, Fachbereich Physik, Fach M678 ... Octonion - for computations with Octonions and Octonionic matrices. code_support - to manage help ...
octonion kids (Marke registriert in Europäische Union) - Unibrander
Klasse 5: Pharmazeutische und veterinärmedizinische Erzeugnisse; Hygienepräparate für medizinische Zwecke; diätetische Lebensmittel und Erzeugnisse für ...
Bücher zum Begriff Octonion
Introduction to Octonion and Other Non-Associative Algebras ...
Introduction to Octonion and Other Non-Associative Algebras ...
Susumo Okubo, 1995
Much of the material found in this volume is not available in other works. The book will therefore be of great interest to graduate students and research scientists in physics and mathematics.
Visualizing Quaternions (The Morgan Kaufmann Series in Interactive 3D Technology)
Visualizing Quaternions (The Morgan Kaufmann Series in Interactive 3D Technology)
Andrew J. Hanson von Morgan Kaufmann, 2005
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 i...
On Quaternions and Octonions: Their Geometry, Arithmetic, ...
On Quaternions and Octonions: Their Geometry, Arithmetic, ...
John Horton Conway, Derek Alan Smith, 2003
This book investigates the geometry of the quaternion and Octonion algebras.
Octonions : a development of Clifford's bi-quaternions (1898)
Octonions : a development of Clifford's bi-quaternions (1898)
Alexander McAulay von Book on Demand, 1897
This book, "Octonions : a development of Clifford's bi-quaternions (1898)", by McAulay, Alexander, is a replication of a book originally published before 1898. It has been restored by human beings, page by page, so that you may enjoy it in a form as close to the original as possible. This book was created using print-on-demand techno...
Octonions, Jordan Algebras, and Exceptional Groups
Octonions, Jordan Algebras, and Exceptional Groups
Tonny A. Springer, Ferdinand D. Veldkamp, 2000
This book is a translation of those notes, completely updated and revised. The part of the book dealing with the algebraic structures is on a fairly elementary level, presupposing basic results from algebra.
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Blog-Einträge zum Begriff
Octonion
Christopher D. Long (octonion) auf Twitter
Das Neueste von Christopher D. Long (@Octonion). JMI Services data scientist and thoroughbred analyst; consultant for the Houston Rockets and a Major League Baseball team. http://github.com/Octonion. Lexington, KY
twitter.com/octonion
octonion (Christopher D. Long) · GitHub
Octonion has 14 repositories written in Ruby, R, and Shell. Follow their code on GitHub.
github.com/octonion
`defense of octonion` related blog posts - 11 Community
Browse blog posts tagged as `defense of Octonion`.
11prompt.com/community/blogs/browse-by-tag?tag=defense%20of%20octonion
The Octonion returns in MasterConference - The UConn Blog
A secret society of the eight wealthiest mascots in the Northeast convenes at an estate in Providence, RI, otherwise known as Mike Tranghese's John Marinatto's basement. Chips and mango-peach salsa...
www.theuconnblog.com/2011/7/6/2262484/the-octonion-returns-in-masterconference
The Octonion Returns - The UConn Blog
The Octonion is a secret society of the eight wealthiest mascots in the Northeast convenes at an estate in Providence, RI, otherwise known as Mike Tranghese's John Marinatto's basement. It's the...
www.theuconnblog.com/2011/4/14/2111509/the-octonion-returns
Weiterleitung...
nunesmagician.blogspot.com/2007/06/enter-octonion.html
abstract algebra - What are some real-world uses of Octonions? - Mathematics Stack Exchange
math.stackexchange.com/questions/2189/what-are-some-real-world-uses-of-octonions
The J-Walk Blog: Octonion Gallery (Comments)
j-walkblog.com/index.php?/weblog/comments/Octonion_Gallery/
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