octonionic
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Produit vectoriel en dimension 7 — En mathématiques, et plus précisément en algèbre linéaire, le produit vectoriel en dimension 7 est une loi de composition interne d un espace euclidien à 7 dimensions, ayant certaines propriétés du produit vectoriel usuel (en dimension 3) ;… … Wikipédia en Français
Hopf fibration — In the mathematical field of topology, the Hopf fibration (also known as the Hopf bundle or Hopf map) describes a 3 sphere (a hypersphere in four dimensional space) in terms of circles and an ordinary sphere. Discovered by Heinz Hopf in 1931, it… … Wikipedia
Octonion — 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 . There are only four such algebras, the other three being the real numbers R, the … Wikipedia
Jordan algebra — In mathematics, a Jordan algebra is defined in abstract algebra as a (usually nonassociative) algebra over a field with multiplication satisfying the following axioms:# xy = yx (commutative law) # (xy)(xx) = x(y(xx)) (Jordan identity)The product… … Wikipedia
Split-octonion — In mathematics, the split octonions are a nonassociative extension of the quaternions (or the split quaternions). They differ from the octonions in the signature of quadratic form: the split octonions have a split signature (4,4) whereas the… … Wikipedia
3-sphere — Stereographic projection of the hypersphere s parallels (red), meridians (blue) and hypermeridians (green). Because this projection is conformal, the curves intersect each other orthogonally (in the yellow points) as in 4D. All curves are circles … Wikipedia
F₄ — In mathematics, F4 is the name of a Lie group and also its Lie algebra mathfrak{f} 4. It is one of the five exceptional simple Lie groups. F 4 has rank 4 and dimension 52. The compact form is simply connected and its outer automorphism group is… … Wikipedia
E₈ — In mathematics, E8 is the name given to a family of closely related structures. In particular, it is the name of four exceptional simple Lie algebras as well as that of the six associated simple Lie groups. It is also the name given to the… … Wikipedia
Musean hypernumber — Musean hypernumbers are an algebraic concept envisioned by Charles A. Musès (1919–2000) to form a complete, integrated, connected, and natural number system.[1][2][3][4][5] Musès sketched certain fundamental types of hypernumbers and a … Wikipedia
Hypernombre — Les hypernombres sont des nombres associés à des dimensions, découverts par le Dr. Charles A. Musès (1919 – 2000). Les hypernombres forment un système complet, cohérent, relié et naturel. Il existe dix niveaux d hypernombres, chacun possède sa… … Wikipédia en Français
