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Hyperbolic quaternion

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  • Hyperbolic quaternion — In mathematics, a hyperbolic quaternion is a mathematical concept first suggested by Alexander MacFarlane in 1891 in a speech to the American Association for the Advancement of Science. The idea was criticized for its failure to conform to… …   Wikipedia

  • Quaternion — Quaternions, in mathematics, are a non commutative extension of complex numbers. They were first described by the Irish mathematician Sir William Rowan Hamilton in 1843 and applied to mechanics in three dimensional space. They find uses in both… …   Wikipedia

  • Quaternion Society (1899 - 1913) — A scientific society, the Quaternion Society was an “International Association for Promoting the Study of Quaternions and Allied Systems of Mathematics”. At its peak it consisted of about 60 mathematicians spread throughout the academic world… …   Wikipedia

  • Quaternion hyperbolique — L algèbre des quaternions hyperboliques est un objet mathématique promu à partir de 1890 par Alexander Macfarlane (en). L idée fut mise à l écart, à cause de la non associativité de la multiplication, mais elle est reprise dans l espace de… …   Wikipédia en Français

  • Split-quaternion — Coquaternion multiplication × 1 i j k 1 1 i j k i i −1 k −j j j −k +1 −i …   Wikipedia

  • Versor — In mathematics, a versor is a directed great circle arc that corresponds to a quaternion of norm one. In geometry and physics, a versor is sometimes defined as a unit vector indicating the orientation of a directed axis (such as a Cartesian axis) …   Wikipedia

  • List of mathematics articles (H) — NOTOC H H cobordism H derivative H index H infinity methods in control theory H relation H space H theorem H tree Haag s theorem Haagerup property Haaland equation Haar measure Haar wavelet Haboush s theorem Hackenbush Hadamard code Hadamard… …   Wikipedia

  • History of quaternions — This article is an indepth story of the history of quaternions. It tells the story of who and when. To find out what quaternions are see quaternions and to learn about historical quaternion notation of the 19th century see classical quaternions… …   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

  • Hypercomplex number — The term hypercomplex number has been used in mathematics for the elements of algebras that extend or go beyond complex number arithmetic.Hypercomplex numbers have had a long lineage of devotees including Hermann Hankel, Georg Frobenius, Eduard… …   Wikipedia

  • Alexander Macfarlane (mathematician) — cite journal | author = Colaw, J. M. | title = Alexander Macfarlane, M.A., D. Sc., LL.D | journal = The American Mathematical Monthly | year = 1895 | volume = 2 | pages = 1 ndash; 4 | doi = 10.2307/2971573 ] Alexander Macfarlane (April 21… …   Wikipedia