Definition of octonions. Meaning of octonions. Synonyms of octonions

Here you will find one or more explanations in English for the word octonions. Also in the bottom left of the page several parts of wikipedia pages related to the word octonions and, of course, octonions synonyms and on the right images related to the word octonions.

Definition of octonions

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Meaning of octonions from wikipedia

- mathematics, the octonions are a normed division algebra over the real numbers, a kind of hypercomplex number system. The octonions are usually represented...
- mathematics, the split-octonions are an 8-dimensional non****ociative algebra over the real numbers. Unlike the standard octonions, they contain non-zero...
- example of an octonion algebra is the classical octonions, which are an octonion algebra over R, the field of real numbers. The split-octonions also form...
- of octonions is even stranger than that of quaternions; besides being non-commutative, it is not ****ociative – that is, if p, q, and r are octonions, it...
- The Geometry of the Octonions is a mathematics book on the octonions, a system of numbers generalizing the complex numbers and quaternions, presenting...
- Cayley–****son construction to the octonions, and as such the octonions are isomorphic to a subalgebra of the sedenions. Unlike the octonions, the sedenions are not...
- 0&0&2\end{pmatrix}}} Octonions Clifford algebra G2 John H. Conway; Derek A. Smith (23 January 2003). On Quaternions and Octonions. Taylor & Francis....
- systems called quaternions, tessarines, coquaternions, biquaternions, and octonions became established concepts in mathematical literature, added to the real...
- representation in fourteen dimensions. It is the automorphism group of the octonions O{\displaystyle \mathbb {O} }, and holds a compact form homeomorphic to...
- other finite semiregular polytopes or honeycombs in dimensions n > 8. The octonions are a hypercomplex normed division algebra that are an extension of the...