Projection_operator Projection_operator

Projection operator - Definition and Overview

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In mathematics, a projection operator on a vector space is an idempotent linear transformation. Such transformations project any point in the vector space to a point in the subspace that is the image of the transformation. In an inner product space, such an operator is an orthogonal projection if and only if it is self-adjoint. In finite-dimensional inner product spaces, an orthogonal projection matrix is one whose matrix M satisfies M2 = M and M ′ = M where M ′ is the conjugate transpose of M (see projection (linear algebra)). The condition that M ′ = M says M is a symmetric matrix if all of the entries in M are real. In physics, the term projection operator usually means self-adjoint projection operator.

Example Usage of Projection

infotectravel1: #ITTNews : Centrists pleased with health cost Projection - The Hill http://bit.ly/8bGyG8
lazyrighteye: faderTouch: Multi-touch Projection Controller http://bit.ly/7XDZKv (via @michaelshirley)
Expernz: At #86 crib...#11 #12 on some #CallofDutyMW2 cuss look crazy on Projection http://tweetphoto.com/5684109
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