Orthogonal functions
Retrospective Analysis of the Black Sea Thermohaline Fields on the Basis of Empirical Orthogonal Functions
... empirical orthogonal functions is developed to implement a retrospective analysis of the Black Sea thermohaline structure using incomplete archival oceanographic ...empirical orthogonal ...
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Reconstruction of sea level around the Korean Peninsula using cyclostationary empirical orthogonal functions
... (empirical orthogonal functions) of SLA using data from the TOPEX/Poseidon satellite altimeter to capture the interannual-scale signals, ...empirical orthogonal functions (CSEOFs) as basis ...
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A LIMIT THEOREM FOR ORTHOGONAL FUNCTIONS EUR 328 e
... Given an infinite S3quence ¡ L | j of L\ spaces respectively constructed with the finite measures μη of the infinite sequence \μη\ satisfying pointwise convergence requirements, we estab[r] ...
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Analysis of surface soil moisture patterns in agricultural landscapes using Empirical Orthogonal Functions
... Empirical Orthogonal Function (EOF) analysis was applied and the results were correlated with parameters derived from topography, soil, vegetation and land manage- ment to link the patterns to related factors and ...
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Dynamic Modelling and Optimal Control of a Rotor of Active Magnetic Bearings
... Sine-Cosine functions such as Fourier ...of orthogonal functions such as Legendre polynomials and Haar wavelet functions with unknown ...
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Periodic binary signals with zero cross correlation based on Walsh sequences
... orthogonal functions. J.L Walsh introduced binary systems of orthogonal functions in 1923 ...“variable-length orthogonal codes” [5], and modern wireless ...
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II. ORTHOGONAL SERIES EXPANSIONS AND OPERATIONAL
... using orthogonal functions; in this case the model can be approximated by Hartley series in the continuous ...using orthogonal functions is that the integro-differential equations are ...
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A novel method of constructing compactly supported orthogonal scaling functions from splines
... constructing orthogonal wavelets with B-splines ...spline functions of degree n– with simple knots in Z which is generated by a triple of re- finable, orthogonal functions with compact ...
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Optimal Control of Singular System via Discrete Fourier Transform
... using orthogonal functions for solving identification and optimisation problems of dynamic systems, was initially established in 1975 when the Walsh-type operational matrix was constructed by the present ...
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New Numerical Method for Determining the Scattered Electromagnetic Fields from Thin Wires
... 26. Delves, L. M. and J. L. Mohamed, Computational Methods for Integral Equations , Cambridge University Press, Cambridge, 1985. 27. Deb, A., A. Dasgupta, and G. Sarkar, “A new set of orthogonal functions ...
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Solving linear integral equations with Fibonacci polynomials
... triangular orthogonal functions where the authors use a complementary pair of orthogonal triangular functions derived from the well-known block pulse functions set for solving Fredholm ...
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An Approximation Algorithm for the solution of astrophysics equations using rational scaled generalized Laguerre function collocation method based on transformed Hermite Gauss nodes
... rational orthogonal functions, for example, Christov [12] and Boyd [13,14] developed some spectral methods on unbounded intervals by using mutually orthogonal systems of rational ...byshev ...
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Rational Chebyshev Collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder
... tional orthogonal functions to solve the problems with unbounded ...of orthogonal polynomials for an infinite domain, called as the functions of rational Chebyshev, by mapping the Chebyshev ...
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Downscaling summer rainfall in the UK from North Atlantic ocean temperatures
... empirical orthogonal functions (EOFs) of summer North Atlantic sea surface temperature (SST) anomalies: second, to evaluate the skill of EOFs of preceding winter (December–February) SSTs for summer rainfall ...
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An Efficient Numerical Algorithm For Solving Linear Differential Equations of Arbitrary Order And Coefficients
... triangular functions as a set of orthogonal functions are ...triangular functions and the related operational matrix of integration, solving the differential equation reduces to solve a linear ...
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ENSO components of the Atlantic multidecadal oscillation and their relation to North Atlantic interannual coastal sea level anomalies
... empirical orthogonal functions (EOFs), which coherently contribute from the Multivariate ENSO Index (MEI) to the AMO index (AMOI), we char- acterize both the expression of ENSO in the unsmoothed AMOI, and ...
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Random polymers via orthogonal Whittaker and symplectic Schur functions
... is orthogonal to the methods used in the above ...partition functions, as our primary focus has been the analysis of their combinatorial structure and the links to or- thogonal Whittaker ...
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A Direct Method for Numerically Solving Integral Equations System Using Orthogonal Triangular Functions
... Haar functions, respectively, to obtain the numerical solutions of the integral equations system given in Example ...of functions, multiplication and addition of matrices, and needs no ...
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Application of Triangular Functions to Numerical Solution of Stochastic Volterra Integral Equations
... This paper is organized as follows: In the next section we review one-dimensional triangular functions. Section 3, presents stochastic concept that is used in this paper. Section 4, introduces stochastic ...
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Expansions of distributions in terms of generalized heat polynominals and their Appell transforms
... Epansion of distributions or generalized func,ons , Generalized heat polynomials and their Appell tra forms, Orthogonal Si expansion of generalized functions and generalized integral tra[r] ...
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