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Longer titles found: Empirical orthogonal functions (view)

searching for Orthogonal functions 36 found (75 total)

Ganti Prasada Rao (1,670 words) [view diff] exact match in snippet view article find links to article

control in general, and as a pioneer in the applications of special orthogonal functions and Identification of Continuous-time Systems. For a comparative

Generalized structure tensor (1,955 words) [view diff] exact match in snippet view article find links to article

Cartesian coordinates. Curve families generated by pairs of locally orthogonal functions have been the best studied. It is a widely known method in applications

CDMA spectral efficiency (1,829 words) [view diff] exact match in snippet view article find links to article

capacity in such scenarios, alternative sets of orthogonal functions called the quasi-orthogonal functions (QOF), which possess optimal minimax cross correlation

Giuseppe Lauricella (230 words) [view diff] exact match in snippet view article find links to article

{\displaystyle F_{A},F_{B},F_{C},F_{D}} Lauricella's theorem (regarding orthogonal functions) L. Silla, L. (1913). "Personale accademico. Giuseppe Lauricella"

Post–Hartree–Fock (947 words) [view diff] exact match in snippet view article find links to article

nonrelativistic. The basis set is composed of a finite number of orthogonal functions. The true wavefunction is a linear combination of functions from

Charles Napoleon Moore (286 words) [view diff] exact match in snippet view article find links to article

(1919). "Applications of the theory of summability to developments in orthogonal functions". Bull. Amer. Math. Soc. 25 (6): 258–276. doi:10.1090/s0002-9904-1919-03188-7

Square-integrable function (888 words) [view diff] case mismatch in snippet view article find links to article

"L^2-Function". MathWorld--A Wolfram Web Resource. Giovanni Sansone (1991). Orthogonal Functions. Dover Publications. pp. 1–2. ISBN 978-0-486-66730-0. "Lp Functions"

Haar wavelet (4,518 words) [view diff] exact match in snippet view article find links to article

ISBN 3-540-08072-4. The result is due to R. E. Paley, A remarkable series of orthogonal functions (I), Proc. London Math. Soc. 34 (1931) pp. 241-264. See also p. 155

Grandi's series (2,157 words) [view diff] case mismatch in snippet view article find links to article

(PDF) on 2006-12-29. Davis, Harry F. (May 1989). Fourier Series and Orthogonal Functions. Dover. ISBN 978-0-486-65973-2. Devlin, Keith (1994). Mathematics

Dmitri Egorov (476 words) [view diff] exact match in snippet view article find links to article

"Sulle successioni di funzioni ortogonali (On the sequences of orthogonal functions)", Atti dell'Accademia Gioenia, serie 5a (in Italian), 3 (5): Memoria

Valeria Simoncini (332 words) [view diff] case mismatch in snippet view article find links to article

Antonio Navarra, she is the author of the book A Guide to Empirical Orthogonal Functions for Climate Data Analysis (Springer, 2010). Simoncini was a second-place

Joseph L. Walsh (901 words) [view diff] exact match in snippet view article find links to article

; Evans, J. P. (1956). "On the location of the zeros of certain orthogonal functions". Proc. Amer. Math. Soc. 7 (6): 1085–1090. doi:10.1090/s0002-9939-1956-0083550-3

Lloyd Dines (707 words) [view diff] exact match in snippet view article find links to article

1090/s0002-9947-1928-1501437-0. MR 1501437. Dines, Lloyd L. (1928). "A theorem on orthogonal functions with an application to integral inequalities". Trans. Amer. Math

Raymond Paley (1,015 words) [view diff] case mismatch in snippet view article find links to article

b. Paley, R. E. A. C. (1932), "A Remarkable Series of Orthogonal Functions I, II", Proceedings of the London Mathematical Society, Second Series, 34 (4):

Racah polynomials (1,282 words) [view diff] exact match in snippet view article find links to article

25, 2017 Wilson, J. (1978), Hypergeometric series recurrence relations and some new orthogonal functions, Ph.D. thesis, Univ. Wisconsin, Madison v t e

Summation of Grandi's series (1,839 words) [view diff] case mismatch in snippet view article find links to article

Series (2e ed.). Davis, Harry F. (May 1989). Fourier Series and Orthogonal Functions. Dover. ISBN 978-0-486-65973-2. Hardy, G.H. (1949). Divergent Series

Occurrences of Grandi's series (1,719 words) [view diff] case mismatch in snippet view article find links to article

Series (2e ed.). Davis, Harry F. (May 1989). Fourier Series and Orthogonal Functions. Dover. ISBN 978-0-486-65973-2. Ferraro, Giovanni (2005). "Convergence

Jiří Čížek (931 words) [view diff] case mismatch in snippet view article find links to article

Sci. Canada. 4: 201–206. Jones, W.B.; van Asschler, W. (1998). in Orthogonal Functions, Moment Theory and Continued Fractions. M. Deker. pp. 257–274.

Benjamin Osgood Peirce (1,892 words) [view diff] exact match in snippet view article find links to article

satisfied if the sum of the corresponding members of two pairs of orthogonal functions of two variables are to be themselves orthogonal", Proc. Amer. Acad

Code-division multiple access (4,742 words) [view diff] exact match in snippet view article find links to article

for example columns or rows from Walsh matrices.) An example of orthogonal functions is shown in the adjacent picture. These vectors will be assigned

Self-organizing map (3,866 words) [view diff] case mismatch in snippet view article find links to article

over the conventional feature extraction methods such as Empirical Orthogonal Functions (EOF) or PCA. Originally, SOM was not formulated as a solution to

Birkeland current (2,434 words) [view diff] exact match in snippet view article find links to article

high-resolution model of field-aligned currents through empirical orthogonal functions analysis (MFACE)". Geophysical Research Letters. 39 (18). Bibcode:2012GeoRL

Self-organizing map (3,866 words) [view diff] case mismatch in snippet view article find links to article

over the conventional feature extraction methods such as Empirical Orthogonal Functions (EOF) or PCA. Originally, SOM was not formulated as a solution to

Ruel Vance Churchill (433 words) [view diff] exact match in snippet view article find links to article

MR 1501663. Churchill, R. V. (1942). "Expansions in series of non-orthogonal functions". Bull. Amer. Math. Soc. 48 (2): 143–149. doi:10.1090/s0002-9904-1942-07628-2

1 − 2 + 3 − 4 + ⋯ (3,584 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-0-521-60047-7. Davis, Harry F. (May 1989). Fourier Series and Orthogonal Functions. Dover. ISBN 978-0-486-65973-2. Euler, Leonhard; Willis, Lucas; Osler

Bertram Martin Wilson (1,361 words) [view diff] exact match in snippet view article find links to article

1924, mainly on the theory of numbers and on integral equations and orthogonal functions, but these were only a small part of his total contribution to mathematics

Cylindrical harmonics (2,186 words) [view diff] exact match in snippet view article find links to article

are essentially Fourier or Laplace expansions, and form a set of orthogonal functions. When P n ( k ρ ) {\displaystyle P_{n}(k\rho )} is simply J n ( k

Schauder basis (3,590 words) [view diff] exact match in snippet view article find links to article

Wojtaszczyk (1991). Franklin, Philip (1928). "A set of continuous orthogonal functions". Math. Ann. 100: 522–529. doi:10.1007/bf01448860. see p. 164, III

Multipole expansion (5,452 words) [view diff] exact match in snippet view article find links to article

symmetry group, which leads to spherical harmonics and related sets of orthogonal functions. One uses the technique of separation of variables to extract the

John E. Kutzbach (1,522 words) [view diff] exact match in snippet view article find links to article

helped introduce to the atmospheric sciences the use of empirical orthogonal functions (EOFs) to identify large-scale and long-period modes of atmospheric

Wigner D-matrix (4,544 words) [view diff] exact match in snippet view article find links to article

{\displaystyle D_{mk}^{j}(\alpha ,\beta ,\gamma )} form a set of orthogonal functions of the Euler angles α , β , {\displaystyle \alpha ,\beta ,} and γ

Theodore von Kármán bibliography (5,373 words) [view diff] exact match in snippet view article find links to article

1019. ISSN 1533-385X. OCLC 809393. Kármán, Th. von (1938). "Use of orthogonal functions in structural problems". Contributions to the Mechanics of Solids

Secondary measure (3,541 words) [view diff] exact match in snippet view article find links to article

μ) and becomes isometric if limited to the hyperplane Hρ of the orthogonal functions with P0 = 1. For unspecified functions square integrable for ρ we

Damodar Dharmananda Kosambi (4,881 words) [view diff] exact match in snippet view article find links to article

India, Current Science, 10, 395–400 1942 On the zeros and closure of orthogonal functions, Journal of the Indian Mathematical Society, 6, 16–24 1942 The effect

Zernike polynomials (6,214 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \rho \approx 1} , which often leads attempts to define other orthogonal functions over the circular disk. In precision optical manufacturing, Zernike

Directional component analysis (1,912 words) [view diff] exact match in snippet view article find links to article

S2CID 254965361. Hannachi, A.; Jolliffe, I.; Stephenson, D. (2007). "Empirical orthogonal functions and related techniques in atmospheric science: A review". International