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Books on the topic 'Orthogonal function'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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1

Billings, S. A. Dual-orthogonal radial basis function networks for nonlinear time series prediction. University of Sheffield, Dept. of Automatic Control and Systems Engineering, 1996.

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2

Zhu, Q. M. Fast orthogonal identification of nonlinear stochastic models and radial basis function neural networks. University of Sheffield, Dept. of Automatic Control and Systems Engineering, 1994.

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3

Ross, Phillip J. Taguchi techniques for quality engineering: Loss function, orthogonal experiments, parameter and tolerance design. 2nd ed. McGraw-Hill, 1996.

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4

Billings, S. A. Radial basis function network configuration using mutual information and the orthogonal least squares algorithm. University of Sheffield, Dept. of Automatic Control and Systems Engineering, 1995.

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5

Sansone, Giovanni. Orthogonal functions. Dover Publications, 2004.

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6

Sansone, Giovanni. Orthogonal functions. Dover, 1991.

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7

1968-, Arvesú Jorge, and Lopez Lagomasino Guillermo 1948-, eds. Recent advances in orthogonal polynomials, special functions, and their applications: 11th International Symposium on Orthogonal Polynomials, Special Functions, and Their Applications, August 29-September 2, 2011, Universidad Carlos III de Madrid, Leganes, Spain. American Mathematical Society, 2012.

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8

Adhemar, Bultheel, ed. Orthogonal rational functions. Cambridge University Press, 1999.

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9

García-Ardila, Juan Carlos. Orthogonal polynomials and linear functionals: An algebraic approach and applications. EMS Press, 2021.

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10

M, Mohan B., ed. Orthogonal functions in systems and control. World Scientific, 1995.

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11

Dominici, Diego, and Robert S. Maier, eds. Special Functions and Orthogonal Polynomials. American Mathematical Society, 2008. http://dx.doi.org/10.1090/conm/471.

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12

Koelink, Erik, and Walter Van Assche, eds. Orthogonal Polynomials and Special Functions. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/b12166.

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13

Marcellán, Francisco, and Walter Van Assche, eds. Orthogonal Polynomials and Special Functions. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/b128597.

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14

Davis, Harry F. Fourier series and orthogonal functions. Dover Publications, 1989.

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15

Macdonald, I. G. Symmetric functions and orthogonal polynomials. American Mathematical Society, 1998.

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16

Castillo, Kenier, and Antonio J. Durán, eds. Orthogonal Polynomials and Special Functions. Springer Nature Switzerland, 2024. https://doi.org/10.1007/978-3-031-69646-6.

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17

Hedayat, A. Orthogonal arrays: Theory and applications. Springer, 1999.

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18

Ginzburg, D. L functions for the orthogonal group. American Mathematical Society, 1997.

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19

Peter, Lesky, and Swarttouw, René F. (René Franc̦ois), 1964-, eds. Hypergeometric orthogonal polynomials and their q-analogues. Springer, 2010.

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20

Patra, Amit. General hybrid orthogonal functions and their applications in systems and control. Springer, 1996.

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21

Miklós, Mikolás. Real functions, abstract spaces, and orthogonal series. Akadémiai Kiadó, 1994.

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22

Goldblatt, Robert. Orthogonality and spacetime geometry. Springer-Verlag, 1987.

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23

Brown, James Ward. Fourier series and boundary value problems. 8th ed. McGraw-Hill, 2012.

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24

Rustamov, F. M. Primenenie ortogonalʹnykh polinomov dli͡a szhatii͡a vizualʹnykh obʺektov prostogo vida. VT͡S AN SSSR, 1989.

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25

McPhillips, Steven J. Adaptive filter design using discrete orthogonal functions. Naval Postgraduate School, 1992.

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26

Wang, Ruye. Introduction to orthogonal transforms: With applications in data processing and analysis. Cambridge University Press, 2012.

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27

1998), KAIST Mathematics Workshop (13th. Combinatorics and special functions. Korea Advanced Institute of Science and Technology, Mathematics Research Center, 1998.

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28

Heuberger, Peter S. C., Paul M. J. Van den Hof, and Bo Wahlberg, eds. Modelling and Identification with Rational Orthogonal Basis Functions. Springer London, 2005. http://dx.doi.org/10.1007/1-84628-178-4.

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29

1954-, Cooper S. Clement, and Thron Wolfgang J, eds. Continued fractions and orthogonal functions: Theory and applications. M. Dekker, 1994.

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30

Taguchi techniques for quality engineering: Loss function, orthogonal experiments, parameter and tolerance design. McGraw-Hill, 1988.

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31

Ross, Philip J. Taguchi Techniques for Quality Engineering: Loss Function, Orthogonal Expiriments, Parameter and Tolerance Design. Mcgraw-Hill (Tx), 1988.

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32

Taguchi Techniques for Quality Engineering: Loss Function, Orthogonal Expiriments, Parameter and Tolerance Design. Mcgraw-Hill (Tx), 1988.

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33

Weniger, Edward L. Tropical cyclone intensity prediction based on empirical orthogonal function representation of wind and shear fields. 1987.

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34

Dyson, Freeman. Spectral statistics of unitary ensembles. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.4.

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This article focuses on the use of the orthogonal polynomial method for computing correlation functions, cluster functions, gap probability, Janossy density, and spacing distributions for the eigenvalues of matrix ensembles with unitary-invariant probability law. It first considers the classical families of orthogonal polynomials (Hermite, Laguerre, and Jacobi) and some corresponding unitary ensembles before discussing the statistical properties of N-tuples of real numbers. It then reviews the definitions of basic statistical quantities and demonstrates how their distributions can be made expl
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35

Peter S.C. Heuberger (Editor), Paul M.J. Van den Hof (Editor), and Bo Wahlberg (Editor), eds. Modelling and Identification with Rational Orthogonal Basis Functions. Springer, 2005.

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36

Paul M. J. van den Hof, Peter S. C. Heuberger, and Bo Wahlberg. Modelling and Identification with Rational Orthogonal Basis Functions. Springer London, Limited, 2005.

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37

Bultheel, Adhemar, Pablo Gonzalez-Vera, Erik Hendriksen, and Olav Njastad. Orthogonal Rational Functions. Cambridge University Press, 2009.

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38

Bultheel, Adhemar, Pablo Gonzalez-Vera, Erik Hendriksen, and Olav Njastad. Orthogonal Rational Functions. Cambridge University Press, 2011.

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39

Bultheel, Adhemar, Pablo Gonzalez-Vera, Erik Hendriksen, and Olav Njastad. Orthogonal Rational Functions. Cambridge University Press, 2009.

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40

Tsoodol, Nyamkhuu. Geometric modeling of 3D fractal objects: Finding 3D Iterated function system of natural objects based on 2D IFS of 2D orthogonal parallel projections. VDM Verlag Dr. Müller, 2009.

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41

Cochran, Lyle Eric. Orthogonal laurent polynomials with an emphasis on the symmetric case. 1993.

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42

Orthogonal Functions in Systems and Control. World Scientific Publishing Co Pte Ltd, 1995.

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43

Davis, Harry F. Fourier Series and Orthogonal Functions. Dover Publications, Incorporated, 2012.

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44

Wong, Roderick, and Richard Beals. Special Functions and Orthogonal Polynomials. Cambridge University Press, 2016.

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45

Special Functions and Orthogonal Polynomials. Cambridge University Press, 2016.

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46

Wong, Roderick, and Richard Beals. Special Functions and Orthogonal Polynomials. Cambridge University Press, 2016.

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47

Attar, Refaat El. Special Functions and Orthogonal Polynomials. Lulu.com, 2006.

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48

Davis, Harry F. Fourier Series and Orthogonal Functions. Dover Publications, Incorporated, 2012.

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49

Muñoz-Hernández, Breda. The design-based Empirical Orthogonal Functions model: An alternative for the analysis of spatio-temporal data. 1999.

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50

Muñoz-Hernández, Breda. The design-based Empirical Orthogonal Functions model: An alternative for the analysis of spatio-temporal data. 1999.

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