The Mathieu equation is a linear second-order differential equation with periodic coefficients. The French mathematician, E. Léonard Mathieu, first introduced this family of differential equations, nowadays termed Mathieu equations, in his “Memoir on vibrations of an elliptic membrane” in 1868. "Mathieu functions are applicable to a wide variety of physical phenomena, e.g., diffraction, amplitude distortion, inverted pendulum, stability of a floating body, radio frequency quadrupole, and vibration in a medium with modulated density"[1]
^L. Ruby, “Applications of the Mathieu Equation,” Am. J. Phys., vol. 64, pp. 39–44, Jan. 1996
family of wavelet system that provides a multiresolution analysis. The magnitude of the detail and smoothing filters corresponds to first-kind Mathieu functions...
Petit, J.-R.; Chapron, E.; Bout-Roumazeilles, V. (2009). "Evidence from wavelet analysis for a mid-Holocene transition in global climate forcing" (PDF)...
Reference to the Biological Sciences., McGraw Hill, 1960, page 288. Rouaud, Mathieu (2013). Probability, Statistics and Estimation (PDF). p. 60. Chiang, C...
trigonometric polynomials using Fourier series. Another possibility is to use wavelets. The Whittaker–Shannon interpolation formula can be used if the number...
Probability for Engineers (6th ed.). Wiley. p. 241. ISBN 9781118539712. Rouaud, Mathieu (2013). Probability, Statistics and Estimation (PDF). p. 10. Archived (PDF)...
York: John Wiley & Sons, p. 98, ISBN 978-0-470-31983-3 Chui, C.K. (1997), Wavelets: a mathematical tool for signal processing, SIAM monographs on mathematical...
(2nd ed.). New York: Holt, Rinehart and Winston. ISBN 978-0-03-041760-3. Mathieu Rouaud, 2013: Probability, Statistics and Estimation Chapter 2: Linear...
Feb-Mar 1985, pp58-59 Apr-May 1986, p72 Sep-Oct 1986" Mann Steve (1992), "Wavelets and Chirplets: Time-Frequency Perspectives, With Applications", Archibald...
applications to medical diagnostics Rhonda Hughes (born 1947), American wavelet researcher, president of the Association for Women in Mathematics Deborah...
3-manifold" 1997 Ingrid Daubechies "for her deep and beautiful analysis of wavelets and their applications" 1999 Bernadette Perrin-Riou "for her number theoretical...
Murray, Tavi (June 2010). "Semblance response to a ground-penetrating radar wavelet and resulting errors in velocity analysis". Near Surface Geophysics. 8...
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