projection

projection, in psychology: see defense mechanism.

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projection

See rear-projection TV, front-projection TV and LCD panel.

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projection

1. the representation of a line, figure, or solid on a given plane as it would be seen from a particular direction or in accordance with an accepted set of rules

2. 

a. the process of showing film on a screen

b. the image or images shown

3. Psychol

a. the belief, esp in children, that others share one's subjective mental life

b. the process of projecting one's own hidden desires and impulses

4. the mixing by alchemists of powdered philosopher's stone with molten base metals in order to transmute them into gold

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projection [prə′jek·shən]

(mapping)

A system for presenting on a plane surface the spherical surface of the earth or the celestial sphere; some of these systems are conic, cylindrical, gnomonic, Mercator, orthographic, and stereographic. Also known as map projection.

(mathematics)

The continuous map for a fiber bundle.

Geometrically, the image of a geometric object or vector superimposed on some other.

A linear mapPfrom a linear space to itself such thatP°Pis equal toP.

(psychology)

Ascribing one's motives to someone else to disguise a source of conflict in oneself.

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(theory)

projection - In domain theory, a function, f, which is (a) idempotent, i.e. f(f(x))=f(x) and (b) whose result is no more defined than its argument. E.g. F(x)=bottom or F(x)=x. In reduction systems, a function which returns some component of its argument. E.g. head, tail, \ (x,y) . x. In a graph reduction system the function can just return a pointer to part of its argument and does not need to build any new graph.