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Words starting with projectivegeom

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  • projective plane — (mathematics)   The space of equivalence classes of vectors under non-zero scalar multiplication. Elements are sets of the form {kv: k != 0, k scalar, v != O, v a vector} where O is the origin. v is a representative member of this equivalence class. The projective plane of a vector space is the collection of its 1-dimensional subspaces. The properties of the vector space induce a topology and notions of smoothness on the projective plane. A projective plane is in no meaningful sense a plane and would therefore be (but isn't) better described as a "projective space".
  • projective — of or relating to projection.
  • projective geometry — the geometric study of projective properties.
  • projective property — a geometric property that is unaltered by projection; a property of relative position, as coincidence or length, but not of magnitude.
  • projective test — any psychological test, such as the Rorschach test, in which the subject is asked to respond to vague material. It is thought that unconscious ideas are thus projected, which, when the responses are interpreted, reveal hidden aspects of the subject's personality