English Explanatory Dictionary

projective

English dictionary entry

Meanings

adj
  1. projecting outward
  2. of, relating to, or caused by a projection
  3. Of or related to projective geometry:
  4. Invariant under projective transformations.
  5. Defined in or inhabiting a projective space.
  6. In a technical sense, general (but not necessarily so general as to be free); involving such objects:
  7. Such that there is another (left) R-module N with M⊕N a free R-module. Equivalently, projective in the category of modules (see below).
  8. Such that, given an epimorphism e:E→X and morphism f:P→X, f factors through e; that is, there exists a morphism ̃f:P→E with e∘̃f=f.
  9. Such that every epimorphism from a profinite group onto G has a right inverse which is a homomorphism.
  10. Such that every object in the resolution is projective.
noun
  1. An assessment test that presents subjects with some sort of stimulus to which they react by projecting or imagining details.
  2. A projective member of a category.
  3. A statement about a conditional or potential state of affairs, as opposed to one about a situation that actually exists or existed.

Pronunciation

LL-Q1860 (eng)-Vealhurl-projective.wav

Word forms

projective more projective most projective projectives

Etymology

Formed by the suffixation of prōiect- (the perfect passive participial stem of the Classical Latin prōiciō, whence the English verb project) with the English -ive, forming project + -ive; however, compare the post-Classical Latin prōiectīvus (“relating to purging”).

Synonyms

outstanding projecting prominent bulging exserted extuberant jutting obtrusive projectory promontorial protruding protuberant protuberous salient

Related words

projection

Derived words

complex projective line projective basis projective resolution projectivise projectivist projectivity projectivization projectivize quasi-projective real projective plane projective frame projective variety biprojective multiprojective nonprojective preprojective projective algebraic manifold projective collineation projective cone projective correlation projective differential geometry projective general linear group projective general orthogonal group projective general unitary group projective geometry projective Hilbert space projective identification projective limit projective line projective linear group projectively projective module projective object projective plane projective plane dissection projective representation projective set projective space projective special linear group projective special orthogonal group projective special unitary group projective symplectic group projective test projective texture mapping projective transformation projective unitary group projective vector field projectivism quasiprojective semiprojective superprojective
This entry uses open data from Wiktionary (CC BY-SA/GFDL). Word forms are used for search and are not indexed as separate pages.
Back to search All on P Russian dictionary Dahl dictionary