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Hyperbolic quaternion
Hyperbolic quaternion To meet Wikipedia's quality standards, this ... article or section may require cleanup. A hyperbolic quaternion is a mathematical concept first suggested by ... numbers. Like the quaternions, the set of hyperbolic quaternions form a vector space over ...
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Hyperbolic quaternion (translated from French)
Hyperbolic quaternion This article is one ébauche to be ... share your knowledge by modifying it. One hyperbolic quaternion is a mathematical concept introduced in 1900 ... Q = has + Bi + cj + dk is one hyperbolic quaternion if has, B, C, and ...
http://fr.wikipedia.org/wiki/Quaternion_hyperbolique - 1k - Cached (French) - Wikipedia (French) - Similar pages
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Quaternion
Quaternion For other senses of this word, see quaternion (disambiguation). In mathematics, the quaternions are a ... these are derived in detail below). Every quaternion is a real linear combination of the ... i, j, and k, i.e. every quaternion is uniquely expressible in the form a ... basis quaternions, with their negatives, form the quaternion group of order 8, Q 8 . ...
http://en.wikipedia.org/wiki/Quaternion - 49k - Cached - Similar pages
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Quaternion (translated from German)
Quaternion This article treats the quaternions as mathematical ... can have, see upper half plane and hyperbolic area.) Quaternions are one four-dimensional Divisionsalgebra ... numbers with one not commutative Multiplication. Each quaternion is Quaternion Quaternion product The special position of the ...
http://de.wikipedia.org/wiki/Quaternion - 13k - Cached (German) - Wikipedia (German) - Similar pages
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List of simple Lie groups
... the well known duality between spherical and hyperbolic geometry. Hermitean symmetric spaces A symmetric space ... Non-compact symmetric space: Copies of quaternionic hyperbolic space (of dimension n − 1) in complex hyperbolic space (of dimension 2n − 1). Remarks ... symmetric space: 2pq Compact symmetric space: Hermitean. Quaternion-Kähler if p or q is 2 ... p+q . Non-compact symmetric space: Hermitean. Quaternion-Kähler if p or q is ...
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List of mathematics articles (G-I)
... relativity -- General topology -- Generalised f-mean -- Generalised hyperbolic distribution -- Generalised logistic curve -- Generalization error -- Generalization ... Hurewicz theorem -- Hurwitz matrix -- Hurwitz polynomial -- Hurwitz quaternion -- Hurwitz zeta function -- Hurwitz's automorphisms theorem ... Hyper operator -- Hyper-Woodin cardinal -- Hyper4 -- Hyperbola -- Hyperbolic 3-manifold -- Hyperbolic algebra -- Hyperbolic angle -- Hyperbolic coordinates -- Hyperbolic equilibrium point -- ...
http://en.wikipedia.org/wiki/List_of_mathematics_articles_(G-I) - 63k - Cached - Similar pages
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List of mathematics articles (H)
... Hurewicz theorem -- Hurwitz matrix -- Hurwitz polynomial -- Hurwitz quaternion -- Hurwitz zeta function -- Hurwitz's automorphisms theorem ... Hyper operator -- Hyper-Woodin cardinal -- Hyper4 -- Hyperbola -- Hyperbolic 3-manifold -- Hyperbolic algebra -- Hyperbolic angle -- Hyperbolic coordinates -- Hyperbolic equilibrium point -- Hyperbolic function -- ...
http://en.wikipedia.org/wiki/List_of_mathematics_articles_(H) - 22k - Cached - Similar pages
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Coquaternion
... equipped with a multiplicative operation. Unlike the quaternion algebra, coquaternions may be zero divisors or ... H leads to the alternative name split-quaternion for a coquaternion. Historically coquaternions preceded Cayley ... ⊥ t means these two points are hyperbolic-orthogonal. For every r ∈ E and ... 1 HP where HP is the hyperbolic plane. Application to kinematics By using the ... −1 q u is an ordinary or hyperbolic rotation according as u = exp(a ...
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Biquaternion
Biquaternion In mathematics, a biquaternion (or complex quaternion) is an element of the quaternion algebra over the complex numbers. The concept ... scalars are assumed to commute with the quaternion basis vectors (e.g. vj = jv). Considered ... wise addition, and multiplication according to the quaternion group, this collection forms a 4-dimensional ... matrix group that is isomorphic to the Quaternion group.Consequently |
User:Pmurray bigpond.com/Geometry of Complex Numbers
... disjoint, then the pencil will be a "hyperbolic" pencil. If they intersect, then the pencil ... parabolic". TODO - insert picture here Note every hyperbolic pencil of circles is orthogonal to an ... insert picture here Any circle in a hyperbolic pencil of circles can be moved to any other circle by a hyperbolic möbius transformation, and any circle in an ... to work out the two pencils. A hyperbolic pencil is generated by the point ...
http://en.wikipedia.org/wiki/User:Pmurray_bigpond.com/Geometry_of_Complex_Numbers - 14k - Cached - Similar pages
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