projective

Meanings

1. 1
   adj

   Of or related to projective geometry:

   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.

2. 2
   noun

   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.

3. 3
   noun

   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.

4. 4
   noun

   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.

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”).

Topics