affine

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“
It is afterall a physical constant, one that has a dimensionality (i.e., length), unlike the affine constant, and it is not at all comparable to those mathematical constants which we may call "pure numbers."

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Definitions (9)

Toggle American Heritage definitions American Heritage Dictionary (2)

  1. adjective Mathematics Of or relating to a transformation of coordinates that is equivalent to a linear transformation followed by a translation.
  2. adjective Mathematics Of or relating to the geometry of affine transformations.

Toggle Century definitions Century Dictionary (3)

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

Toggle WordNet definitions WordNet (3)

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Examples (34)

  • This paper describes a hardware architecture for an FPGAbased implementation of affine-invariant image feature detectors, following the algorithm of Mikolajczyk & Schmid. —  CiteULike: Everyone's library
  • It is afterall a physical constant, one that has a dimensionality (i.e., length), unlike the affine constant, and it is not at all comparable to those mathematical constants which we may call "pure numbers." —  RealClimate
  • Recently, affine-invariant Riemannian metrics have been proposed as a rigorous and general framework in which these defects are corrected. —  CiteULike: Everyone's library
  • Theoretical aspects are presented and the Euclidean, affine-invariant, and Log-Euclidean frameworks are compared experimentally. —  CiteULike: Everyone's library
  • We briefly report on these results in Sec. \ 6 (metric-affine geometry) and in Sec. \ 7 (metric-affine field equations (\refzeroth, \reffirst, \refsecond)). —  CiteULike: Everyone's library
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Etymologies (3)

Toggle American Heritage etymologies American Heritage Dictionary (1)

  1. French affin, closely related, from Old French; see affined.

Toggle Century etymologies Century Dictionary (2)

  1. from Old French affin, afin, “a kinsman or allie, one with whom affinity is had or contracted” (Cotgrave), from Latin affinis, neighboring, related by marriage, one related by marriage, from ad, to, + finis, border, end: see fine, and cf. affinity.
  2. from French affiner, Old French afiner = Provencal Spanish afinar = Italian affinare, from Middle Latin affinare, refine, from Latin ad, to, + Middle Latin finus (later Old French fin, etc.), fine: see fine.
 

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/æˈfajn/
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