## PROJECTION

### Projection

In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that . That is, whenever P is applied twice to any value, it gives the same result as if it were applied once . It leaves its image unchanged.

The above text is a snippet from Wikipedia: Projection (linear algebra)

### projection

#### Noun

1. Something which projects, protrudes, juts out, sticks out, or stands out.
The face of the cliff had many projections which are big enough for birds to nest on.
2. The action of projecting or throwing or propelling something.
3. The display of an image by devices such as movie projector, video projector, overhead projector or slide projector.
4. A forecast or prognosis obtained by extrapolation
5. A belief or assumption that others have similar thoughts and experiences as oneself
6. The image that a translucent object casts onto another object.
7. Any of several systems of intersecting lines that allow the curved surface of the earth to be represented on a flat surface. The set of mathematics used to calculate coordinate positions.
8. An image of an object on a surface of fewer dimensions.
9. An idempotent linear transformation which maps vectors from a vector space onto a subspace.
10. A transformation which extracts a fragment of a mathematical object.

The above text is a snippet from Wiktionary: projection