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Other articles related to "orthogonal projections, orthogonal projection, projection, orthogonal":
... An orthogonal projection is a projection for which the range U and the null space V are orthogonal subspaces ... A projection is orthogonal if and only if it is self-adjoint, which means that, in the context of real vector spaces, the associated matrix is symmetric relative to an orthonormal basis P = PT ... Indeed, if x and y are vectors in the domain of the projection, then Px ∈ U and y − Py ∈ V, and where is the positive-definite scalar product ...
Famous quotes containing the word projections:
“Western man represents himself, on the political or psychological stage, in a spectacular world-theater. Our personality is innately cinematic, light-charged projections flickering on the screen of Western consciousness.”
—Camille Paglia (b. 1947)