An Etymological Dictionary of Astronomy and Astrophysics
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فرهنگ ریشه شناختی اخترشناسی-اخترفیزیک

M. Heydari-Malayeri    -    Paris Observatory

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Number of Results: 5 Search : affine
affine
  کروَن   
karvan

Fr.: affine   

Math.: Of or pertaining to the geometry of → affine transformations. See also: → affine combination, → affine geometry, → affine set, → affinity.

From Fr., from L. affinis "bordering on; neighboring; related."

Karvan, literally "bordering on; possessing border (with); related," from (Bašgard) ker "border, boundary," (Fin Bandar Abbas) karaq "border, edge;" classical Pers. karân, kenâr "boundary, side, edge;" + -van suffix of possession, relation.

affine combination
  میازش ِ کروَن   
miyâzeš-e karvan

Fr.: combinaison affine   

A linear combination of vectors in which all the vector coefficients add up to one.

affine; → combination.

affine geometry
  هندسه‌ی ِ کروَن   
hendese-ye karvan

Fr.: géométrie affine   

The study of the properties which are → invariant under → affine transformations.

affine; → geometry.

affine set
  هنگرد ِ کروَن   
hangard-e karvan

Fr.: ensemble affine   

A set → if and only if (iff) for any two points in the → set, the line through them is contained in the set. In other words, for any two points in the set, their → affine combinations are in the set itself.

affine; → set.

affine transformation
  ترادیس ِ کروَن   
tarâdis-e karvan

Fr.: transformation affine   

Any → transformation preserving → collinearity.

affine; → transformation.