## 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)*

and as such is available under the Creative Commons Attribution/Share-Alike License.

and as such is available under the Creative Commons Attribution/Share-Alike License.

### projection

#### Noun

- 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.

- The action of projecting or throwing or propelling something.
- The display of an image by devices such as movie projector, video projector, overhead projector or slide projector.
- A forecast or prognosis obtained by extrapolation
- A belief or assumption that others have similar thoughts and experiences as oneself
- The image that a translucent object casts onto another object.
- 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.
- An image of an object on a surface of fewer dimensions.
- An idempotent linear transformation which maps vectors from a vector space onto a subspace.
- A transformation which extracts a fragment of a mathematical object.

*The above text is a snippet from Wiktionary: projection*

and as such is available under the Creative Commons Attribution/Share-Alike License.

and as such is available under the Creative Commons Attribution/Share-Alike License.