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Linear vs Affine - What's the difference?

linear | affine |

In mathematics terms the difference between linear and affine

is that linear is of or relating to a class of polynomial of the form y = ax + b while affine is of or pertaining to a transformation that maps parallel lines to parallel lines and finite points to finite points.

As adjectives the difference between linear and affine

is that linear is having the form of a line; straight while affine is assigning finite values to finite quantities.

As a proper noun Linear

is a comet, cataloged as “C/1999 S4”, discovered on September 27, 1999, by the Lincoln Near-Earth Asteroid Research program in New Mexico. (See ) Sometimes spelled LINEAR.

As an acronym LINEAR

is Lincoln Near-Earth Asteroid Research program.

As a noun affine is

a relative by marriage.

As a verb affine is

to refine.

linear

English

(wikipedia linear)

Adjective

(en adjective)
  • Having the form of a line; straight.
  • Of or relating to lines.
  • Made in a step-by-step, logical manner.
  • (botany, of leaves) Long and narrow, with nearly parallel sides.
  • (mathematics) Of or relating to a class of polynomial of the form y = ax + b .
  • (physics) A type of length measurement involving only one spatial dimension (as opposed to area or volume).
  • See also

    * quadratic * cubic * quartic * quintic * linear algebra * areal

    Anagrams

    * ----

    affine

    English

    Adjective

    (wikipedia affine) (en adjective)
  • (mathematics) Assigning finite values to finite quantities.
  • (mathematics) Of a function, expressible as f(\vec x)= A \vec x + \vec b (which is not linear, but is similar).
  • (mathematics) Of or pertaining to a transformation that maps parallel lines to parallel lines and finite points to finite points.
  • (comparable, chemistry) Having mutual affinity, of two materials.
  • Derived terms

    * affine geometry * affine space * affine span * nonaffine * self-affine

    Noun

    (en noun)
  • (genealogy) A relative by marriage.
  • Synonyms

    * in-law

    Derived terms

    * co-affine

    Verb

  • To refine.
  • ----