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Definition of "affine" []

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

American Heritage(R) Dictionary of the English Language, Fifth Edition. Copyright (c) 2011 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

Use "affine" in a sentence
  • "We modeled the eating, lying, and standing dynamics of a cow using a piecewise affine dynamical system."
  • "We formulate a mathematical model for daily activities of a cow (eating, lying down, and stand - ing) in terms of a piecewise affine dynamical system."
  • "Thus, for example, the notions of Euclidean geometry are invariant under similarity transformations, those of affine geometry under affine transformations, and those of topology under bicontinuous transformations."