projective

名词 n. 形容词 adj.
中文释义

英文释义

名词 n.
  1. An assessment test that presents subjects with some sort of stimulus to which they react by projecting or imagining details.
    — The projectives suggested considerable difficulty with women and a conflict between sexual preoccupation and hostility.
  2. A projective member of a category.
    — By 2.2 we see that this is a full, contravariant imbedding, and by 2.3 the image of A in (A, G) is a generating set of small projectives.
  3. A statement about a conditional or potential state of affairs, as opposed to one about a situation that actually exists or existed.
    — There was no basis for expecting differences in the frequency of projectives or turnabouts as a function of partner.
形容词 adj.
  1. projecting outward
  2. of, relating to, or caused by a projection
  3. Of or related to projective geometry:; Invariant under projective transformations. usually
    — Hence the non-Euclidean angle is measured by one-half the logarithm of the cross-ratio of four rays. Although the Euclidean point of view has been adopted for simplicity, the final result, depending as it does only on the cross-ratio, is projective; it is therefore independent of the particular assumptions that the rays α and β are perpendicular and that the initial line bisects the angle between them.
  4. Of or related to projective geometry:; Defined in or inhabiting a projective space. usually
  5. In a technical sense, general (but not necessarily so general as to be free); involving such objects:; 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).
  6. In a technical sense, general (but not necessarily so general as to be free); involving such objects:; 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.
  7. In a technical sense, general (but not necessarily so general as to be free); involving such objects:; Such that every epimorphism from a profinite group onto G has a right inverse which is a homomorphism.
  8. In a technical sense, general (but not necessarily so general as to be free); involving such objects:; Such that every object in the resolution is projective.

词形变化

more projective comparative most projective superlative projectives plural

词汇关系

衍生词
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
相关词
projection

词源

词源 1
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”).
词源 2
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”).
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