orthogonal complement

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orthogonal complement [ȯr′thäg·ən·əl ′käm·plə·mənt]

(mathematics)

In an inner product space, the orthogonal complement of a vectorvconsists of all vectors orthogonal tov; the orthogonal complement of a subsetSconsists of all vectors orthogonal to each vector inS.

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No references found			If the spectrum of S has zeros (note that this is the case whenever m < n) we can reduce to the invertible case, restricting S to the orthogonal complement of ker S. Tight frame completions with prescribed norms by Massey, P.G.; Ruiz, M.A. / Sampling Theory in Signal and Image Processing S] be the orthogonal complement of closed subspace S and the orthogonal projection operator onto S, respectively. Sampling theorem with optimum noise suppression by Ogawa, Hidemitsu; Hirabayashi, Akira / Sampling Theory in Signal and Image Processing			orthoclase feldspar orthoconglomerate orthocumulate Orthod orthodolomite Orthodontics orthodox Orthodox Church Orthodox Eastern Church Orthodox Judaism Orthodoxy Orthodrome orthodromic projection Orthoepy Orthoester orthoferrosilite Orthogenesis Orthogeosyncline orthognathic Orthognathism Orthognathous Occlusion Orthogneiss orthogonal orthogonal antennas orthogonal basis orthogonal complement orthogonal crystal orthogonal family orthogonal functions orthogonal group orthogonal instruction set orthogonal Latin squares orthogonal lines Orthogonal Matrix orthogonal parity check Orthogonal Polynomial orthogonal polynomials Orthogonal Projection orthogonal series orthogonal spaces orthogonal sum orthogonal system Orthogonal System of Functions orthogonal trajectory Orthogonal Transformation orthogonal vectors Orthogonality orthogonalization orthogonalized plane-wave method Orthogram orthographic chart			Orthognathic surgery Orthognathic surgery Orthognathic surgery orthognathics Orthognathism Orthognathism Orthognathous Orthognathous Orthognathous Occlusion orthogneiss Orthogon Orthogonak Orthogonak orthogonal orthogonal orthogonal Orthogonal Acceleration Orthogonal Acceleration Time-Of-Flight Orthogonal Amplitude Modulation orthogonal antennas Orthogonal array Orthogonal Array Subunit Particle Orthogonal Array Testing Orthogonal Arrays of Particles Orthogonal basis Orthogonal Channel Noise Simulator Orthogonal Channel Noise Source Orthogonal Code Division Multiple Access Orthogonal Code-Division Multiplexing Orthogonal Code-Hopping Multiplexing orthogonal complement Orthogonal Complementary Code Orthogonal Complementary Pair of Sequence Orthogonal Complex Quadrature Phase Shift Keying Orthogonal Constant Spreading Factor orthogonal crystal Orthogonal Curvilinear Coordinate System Orthogonal Decision-Feedback Detector/Detection Orthogonal Defect Classification Orthogonal Design Orthogonal Design-Based Space-Time Coding Scheme Orthogonal Discrete Wavelet Transform Orthogonal Dynamic Hill Climbing Orthogonal Electrode Catheter Array Orthogonal Exponential Expansion orthogonal family Orthogonal Faulty Block Orthogonal Field Alternation Orthogonal Frequency Code-Division Multiplexing Orthogonal Frequency Division Orthogonal Frequency Division Multiple Access Orthogonal frequency division multiplexing Orthogonal Frequency Division Multiplexing - Optimal Orthogonal Frequency Division Multiplexing with Uniform Power Loading Orthogonal Frequency Hopped Multiple Access

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