projective
Part of speech: adj
noun
Morphological type: derivation
Topics: algebra
category-theory
computing
engineering
geometry
group-theory
human-sciences
linguistics
mathematics
natural-sciences
physical-sciences
psychology
sciences
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”).
Base: project
Affixes: -ive
Inflected forms:
form: more projective
pos: adj
tags: comparative
form: most projective
pos: adj
tags: superlative
form: projectives
pos: noun
tags: plural
Senses:
gloss: projecting outward
pos: adj
gloss: of, relating to, or caused by a projection
pos: adj
gloss: Of or related to projective geometry:
pos: adj
tags: usually
examples: 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.
gloss: Of or related to projective geometry:
pos: adj
tags: usually
gloss: In a technical sense, general (but not necessarily so general as to be free); involving such objects:
pos: adj
gloss: In a technical sense, general (but not necessarily so general as to be free); involving such objects:
pos: adj
gloss: In a technical sense, general (but not necessarily so general as to be free); involving such objects:
pos: adj
gloss: In a technical sense, general (but not necessarily so general as to be free); involving such objects:
pos: adj
gloss: An assessment test that presents subjects with some sort of stimulus to which they react by projecting or imagining details.
pos: noun
examples: The projectives suggested considerable difficulty with women and a conflict between sexual preoccupation and hostility.
For example, using projectives as a psychometric technique allows one to compare a person's score with those from a normative group, or with those from some relevant clinic group, or with some other clinically important criterion (e.g., response to treatment).
The unimpressive evidence for validity and operational problems related to projectives led Reilly and Chao to a pessimistic conclusion regarding projectives.
With its origins based in the field of psychology, projectives (also referred to as projective exercises or projective techniques) when used in qualitative research are fun "assignments" most often implemented during focus groups. Their goal is to elicit deeper, more visceral feelings from respondents -- about brands, products, concepts, advertising, and so on -- viewpoints that may go unmentioned when using more direct lines of inquiry.
gloss: A projective member of a category.
pos: noun
examples: 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.
In particular our assumptions hold if B is an abelian category with enough projectives.
The idea behind “cheating with projectives” in a pre-Abelian category with a separating class of projectives is this: Make the arrows do the work that elements do in concrete categories.
gloss: A statement about a conditional or potential state of affairs, as opposed to one about a situation that actually exists or existed.
pos: noun
examples: There was no basis for expecting differences in the frequency of projectives or turnabouts as a function of partner.
The volitive moods (also called volitives, volitional forms, modals, or projectives) are the imperative, jussive, and cohortative.
This implies they contain more information than projectives. For if language is a code, then every element of that code – here, every word, every form of a word – would register a distinct semantic ingredient.
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
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