Hurwitz quaternion
Hurwitz quaternion In mathematics, a Hurwitz quaternion (or Hurwitz integer) is a quaternion whose components ...
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Talk:Hurwitz quaternion
Talk:Hurwitz quaternion Is there a 8-dimensional "integer octonion ...
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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 . ...
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Quaternion   (translated from French)
Quaternion quaternions, noted \mathbb H, are ... Broom Bridge) with Dublin . Hamilton described a quaternion like quadruplet real numbers, the first element ... I K K J - I -1 Any quaternion H can be regarded as a linear ... writing H in this form, and any quaternion comprising these same 4 characteristics is necessarily ... lambda\, can be regarded as a quaternion whose 3 complex components are null ( ...
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Quaternion group
Quaternion group Cycle diagram of Q. Each color ... −i ) 4 = 1. In group theory, the quaternion group is a non-abelian group of ... with a number of interesting properties. The quaternion group, often denoted by Q, is usually ... start with the quaternions and define the quaternion group as the multiplicative subgroup consisting of ... which is isomorphic to S 3 . The quaternion group Q may be regarded as ...
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Adolf Hurwitz
Adolf Hurwitz Adolf Hurwitz Adolf Hurwitz (26 March 1859- 18 November 1919) was ... Jean-Pierre Serre, 'always something good in Hurwitz'). He was born in a Jewish family ... foundational results on algebraic curves; for instance Hurwitz's automorphisms theorem. This work anticipates ...
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List of mathematics articles (H)
... Hundred (word) -- Hundredth -- Hungarian algorithm -- Hurewicz theorem -- Hurwitz matrix -- Hurwitz polynomial -- Hurwitz quaternion -- Hurwitz zeta function -- Hurwitz's automorphisms theorem -- ...
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List of mathematics articles (G-I)
... Hundred (word) -- Hundredth -- Hungarian algorithm -- Hurewicz theorem -- Hurwitz matrix -- Hurwitz polynomial -- Hurwitz quaternion -- Hurwitz zeta function -- Hurwitz's automorphisms theorem -- ...
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List of mathematics articles (P-R)
... algebra -- Quater-imaginary base -- Quaternary numeral system -- Quaternion -- Quaternion algebra -- Quaternion group -- Quaternion-Kähler manifold -- Quaternionic projective space -- Quaternions and ... theorem -- Richardson extrapolation -- Riemann curvature tensor -- Riemann-Hurwitz formula -- Riemann hypothesis -- Riemann integral -- Riemann ...
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Category:Quaternions
... Clifford biquaternion Coquaternion D Dicyclic group H Hurwitz quaternion Hyperbolic quaternion Q Quaternion Quaternion algebra Q cont. Quaternion group Quaternionic ...
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