Adjective
projecting outward
- Synonyms
of, relating to, or caused by a projection
- Synonyms
Of or related to projective geometry: Invariant under projective transformations.
Usage- usually
- of a property of a geometric object
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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.
Of or related to projective geometry: Defined in or inhabiting a projective space.
Usage- usually
- of a geometric object
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).
Usage- of a (left) module M over a ring R
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.
Usage- of an object P in a category
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.
Usage- of a profinite group G
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.
Usage- of a resolution
Noun
An assessment test that presents subjects with some sort of stimulus to which they react by projecting or imagining details.
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The projectives suggested considerable difficulty with women and a conflict between sexual preoccupation and hostility.
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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.
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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.
A projective member of a category.
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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.
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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.
A statement about a conditional or potential state of affairs, as opposed to one about a situation that actually exists or existed.
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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.
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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.