orthogonal polynomials

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orthogonal polynomials

A system of polynomials that are mutually orthogonal (orthogonality is the higher-dimensional analog of perpendicularity), useful in solving differential equations arising in physics and engineering. The study of such systems began with Adrien-Marie Legendre (1752–1833), who employed a system now known as Legendre polynomials in the solution of problems in celestial mechanics. Other famous examples are the sets of Hermite and Chebyshev polynomials.

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No references found			95 Hardcover TA660 After reviewing the primary methods of analysis for vibration problems in shaped structures, this mechanical engineering graduate textbook develops boundary characteristic orthogonal polynomials and applies the Rayleigh-Ritz method to transverse vibration of elliptic and circular plates, triangular plates, rectangular and skew plates, and annular plates. Vibration of plates by SciTech Book News Operational formulas were often used with great success in the theory of classical orthogonal polynomials and Bessel functions. q-calculus as operational algebra/q-arvutus algebralistes teisendustes by Ernst, Thomas / Proceedings of the Estonian Academy of Sciences In the example shown above, basis functions (spherical harmonics in geographical coordinates and orthogonal polynomials in radius, both truncated at some degree) were used. Global seismic tomography by Dziewonski, Adam M. / Oceanus			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 Orthographic Projection Orthography orthohelium orthohexagonal axes orthohydrogen orthohydrous coal orthokeratology orthokinesis ortholignitous coal orthologous locus orthomagmatic stage			Orthogonal geometry Orthogonal geometry Orthogonal geometry Orthogonal Greedy Algorithm Orthogonal group Orthogonal groups Orthogonal instruction set orthogonal l's Orthogonal latin squares Orthogonal Least Square Orthogonal Linear Predictive Coding orthogonal lines Orthogonal Matching Pursuit Orthogonal matrices Orthogonal matrices Orthogonal matrix Orthogonal matrix Orthogonal Maximum Spreading Factor orthogonal mode transducer Orthogonal Modeling Technique Orthogonal Multipulse Modulation orthogonal opposition orthogonal parity check Orthogonal Partial Least Square Orthogonal Persistence for Java Orthogonal Polarization Spectral Orthogonal polynomial Orthogonal Polynomial Predistortion orthogonal polynomials Orthogonal Polynomials and Special Functions Orthogonal Polynomials and Special Functions Network Orthogonal Polynomials on the Unit Circle Orthogonal Polynomials, Special Functions and Applications orthogonal projection orthogonal projection Orthogonal Projection Approximation Subspace Tracking Orthogonal Projection Routine Orthogonal Quadrature Phase-Shift Keying Orthogonal Rayleigh Quotient Iteration Method Orthogonal Region orthogonal series Orthogonal Short-Time Fourier Orthogonal Space-Time Orthogonal Space-Time Block Code Orthogonal Space-Time Coding for Continuous-Phase Modulation orthogonal spaces Orthogonal subspace Orthogonal subspace Orthogonal subspaces Orthogonal subspaces orthogonal sum Orthogonal system Orthogonal System of Functions Orthogonal Tetrahedral Quotient Orthogonal trajectory orthogonal transformation

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