projective object
1Projective object — In category theory, the notion of a projective object generalizes the notion of free module.An object P in a category C is projective if the hom functor: operatorname{Hom}(P, )colonmathcal{C} omathbf{Set}preserves epimorphisms. That is, every… …
2Projective cover — In category theory, a projective cover of an object X is in a sense the best approximation of X by a projective object P . Projective covers are the dual of injective envelopes. Definition Let mathcal{C} be a category and X an object in… …
3Projective texture mapping — is a method of texture mapping that allows a textured image to be projected onto a scene as if by a slide projector. Projective texture mapping is useful in a variety of lighting techniques and it s the starting point for shadow… …
4Projective geometry — is a non metrical form of geometry, notable for its principle of duality. Projective geometry grew out of the principles of perspective art established during the Renaissance period, and was first systematically developed by Desargues in the 17th …
5Projective identification — (or PI) is a psychological term first introduced by Melanie Klein of the Object relations school of psychoanalytic thought in 1946. It refers to a psychological process in which a person engages in the ego defense mechanism projection in such a… …
6Object relations theory — Part of a series of articles on Psychoanalysis …
7Projective space — In mathematics a projective space is a set of elements constructed from a vector space such that a distinct element of the projective space consists of all non zero vectors which are equal up to a multiplication by a non zero scalar. A formal… …
8Projective module — In mathematics, particularly in abstract algebra and homological algebra, the concept of projective module over a ring R is a more flexible generalisation of the idea of a free module (that is, a module with basis vectors). Various equivalent… …
9Projective transformation — A projective transformation is a transformation used in projective geometry: it is the composition of a pair of perspective projections. It describes what happens to the perceived positions of observed objects when the point of view of the… …
10projective geometry — the geometric study of projective properties. [1880 85] * * * Branch of mathematics that deals with the relationships between geometric figures and the images (mappings) of them that result from projection. Examples of projections include motion… …
