quaternion

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The play of chances which brings up a ternion or a quaternion is nothing compared to what has been required to prevent the combination of which I am reaping the fruits from being disturbed.

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Definitions (13)

Toggle American Heritage definitions American Heritage Dictionary (2)

  1. noun A set of four persons or items.
  2. noun Mathematics Any number of the form a + bi + cj + dk where a, b, c, and d are real numbers, ij = k, i2 = j2 = -1, and ij = -ji. Under addition and multiplication, quaternions have all the properties of a field, except multiplication is not commutative.

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Examples (35)

  • We summarize the most important and / or interesting limits in a table. charge dirac graviton oscillator quaternion religion strings CiteULike organises scholarly (or academic) papers or literature and provides bibliographic (which means it makes bibliographies) for universities and higher education establishments. —  CiteULike: Everyone's library
  • Comparative analyses are made of static lattice energy minimization procedures based on Newton or quasi-Newton algorithms with rigid body orientations being parametrized in terms of Euler angles or quaternion parameters. —  CiteULike: Everyone's library
  • Quaternions are found to form the only numerically acceptable parametrization of orientations in less than five variables and lead to a singularity-free energy function which can be minimized efficiently by any routine for unconstrained optimization. cuda g80 gpu nvidia quaternion rocs sssr CiteULike organises scholarly (or academic) papers or literature and provides bibliographic (which means it makes bibliographies) for universities and higher education establishments. —  CiteULike: Everyone's library
  • In fact, there are two main classes of doublets: proton / neutron and electron / neutrino pairs. charge dirac graviton oscillator quaternion religion strings CiteULike organises scholarly (or academic) papers or literature and provides bibliographic (which means it makes bibliographies) for universities and higher education establishments. —  CiteULike: Everyone's library
  • The difference between my code and his is that I'm storing my camera's orientation in a quaternion whereas he has a simpler implementation, so I am having difficulty figuring out how to get the reflection camera. —  GameDev.Net
 

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Etymologies (3)

Toggle American Heritage etymologies American Heritage Dictionary (1)

  1. Middle English quaternioun, from Late Latin quaterniō, quaterniōn-, from Latin quaternī, by fours, from quater, four times; see kwetwer- in Indo-European roots.

Toggle Century etymologies Century Dictionary (2)

  1. Also quarternion; from Latin quaternio(n-), the number four, a body or group of four, from quaterni, four each, by fours: see quatern.
  2. from quaternion, v.
 

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/kwəˈtərniən/
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