What does "projective" mean?
An assessment test that presents subjects with some sort of stimulus to which they react by projecting or imagining details.
Projective
adj, noun
adj, noun ·3 syllables ·Rare ·Advanced level
Meaning at a glance
- Primary sense: An assessment test that presents subjects with some sort of stimulus to which they react by projecting or imagining details.
- Grammar: projective is listed as adj, noun.
- Nearest alternatives: extrapolating, extrapolative model.
- Usage evidence: 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.
How to use "projective"
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Meaning check
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Source and review context
This entry combines structured lexical data with WordToolSet review checks. Definitions, examples, synonyms, and usage notes may come from different source tables, so the page is designed to show evidence from more than one angle before you rely on "projective" in a final draft.
If a word has several senses, prefer the sense that matches your sentence's grammar and surrounding context. A correct definition can still be the wrong choice when the sentence needs a different register, emphasis, or level of specificity.
Before you rely on this definition
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Compare nearby meanings
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Definition decision workflow
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Check whether "projective" is acting as adj, noun in your sentence. A definition is only useful when the grammar matches the way the word is being used.
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Final meaning check
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Definitions
Noun
- 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."
Adjective
- 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).
Show 3 more definitions
- 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.
Synonyms
All synonyms extrapolatingextrapolative model
Example
"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."
Common questions
What is a synonym for "projective"?
Common synonyms include: extrapolating, extrapolative model.
How do you use "projective" in a sentence?
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.
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”).