orthogonal

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But (0, 1, 0) and (0, 0, 1) are orthogonal, and for all members of S′ ∩ S″ the directions approximating them both have value 1 (colour white), while QM predicts that the probability for values 1 for the approximated directions values is 0.

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Definitions (13)

Toggle American Heritage definitions American Heritage Dictionary (3)

  1. adjective Relating to or composed of right angles.
  2. adjective Mathematics Of or relating to a matrix whose transpose equals its inverse.
  3. adjective Mathematics Of or relating to a linear transformation that preserves the length of vectors.

Toggle Century definitions Century Dictionary (6)

Toggle GNU Webster definitions GNU Webster's 1913 (1)

Toggle WordNet definitions WordNet (3)

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Examples

  • But (0, 1, 0) and (0, 0, 1) are orthogonal, and for all members of S′ ∩ S″ the directions approximating them both have value 1 (colour white), while QM predicts that the probability for values 1 for the approximated directions values is 0. —  The Kochen-Specker Theorem
  • Spekkens, R.W. and Sipe, J.E. (2001a), “Non-orthogonal core projectors for modal interpretations of quantum mechanics”, —  Action at a Distance in Quantum Mechanics
  • Unitarity is preserved because the vectors in the environment to which these different components are coupled, are and remain orthogonal: how the components themselves evolve is immaterial. —  ...anything but love...
  • P and Q orthogonal, and write —  Puppet X: 1
  • B are orthogonal, and write —  Puppet X: 1
 

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Etymologies (2)

Toggle American Heritage etymologies American Heritage Dictionary (1)

  1. From Greek orthogōnios : ortho-, ortho- + gōniā, angle; see genu-1 in Indo-European roots.

Toggle Century etymologies Century Dictionary (1)

  1. from orthogon + -al.
 

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/ɔrˈθɑgənəl/
by American Heritage

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