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affine

affine

9.9
Relating to geometry that keeps straight and parallel lines but not distances
  • adjective
  • /əˈfaɪn/
  • Specialized
translation icon : afín
  • The study of affine spaces helps us understand how geometric objects relate to each other without requiring a specific origin.
  • affine transformation
  • affine functions
  • affine system

But I have a, you know, the word for a subspace that sort of moved over affine, so I'll just put that word down.

Examples

  • In this paper, we focus on formal analysis of systems with continuous multi-affine vector fields, i.e., affine in each variable, defined in rectangular regions of the Euclidean space.

    Academic text (2010)
  • OK, So for an affine function, they commute.

  • Well, generally speaking, other affine constraints don't lead.

  • So the first the vertices of my graph are going to be points in the affine plane over FP.

  • In this paper, we developed a computationally inexpensive method for reachability analysis of multi-affine continuous systems.

    Academic text (2010)
  • An affine transformation maintains the parallelism of lines as well as the relative distances between points.

  • In affine geometry, the relationships between points in space are preserved under affine transformations.

Compounds

affine transformation
  • Specialized
9.9

A change that moves, turns, resizes, or flips a shape while keeping its straight lines

affine geometry
  • Specialized
9.5

A type of geometry about shapes that stay the same when they are moved, stretched, or slanted

Exacum affine
  • Specialized
9.9

A houseplant that lives for many years with fragrant blue or lavender flowers

Lithophragma affine
  • Specialized
9.9

A perennial herb from California with small white flower clusters

Surface Forms

affine positive

Etymology

Affine in mathematics comes from the same root affinis meaning 'related' or 'connected', and you can think of an affine change as one that keeps the basic links between points and lines. That's why an affine transformation preserves straight lines and parallelism even if it changes sizes or positions.