Relevant bibliographies by topics / Harmonics functions

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Harmonics functions'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Harmonics functions"

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Matsuoka, Osamu. "Molecular integrals over Laguerre Gaussian-type functions of real spherical harmonics." Canadian Journal of Chemistry 70, no. 2 (1992): 388–92. http://dx.doi.org/10.1139/v92-055.

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Molecular integrals are formulated over the Laguerre Gaussian-type functions (LGTF) of real spherical harmonics. They include the overlap integrals and the energy integrals of kinetic, nuclear attraction, and electron repulsion. For the nuclear-attraction integrals the formulations based on the point as well as the Gaussian nuclear charge distribution models are presented. Integral formulas over the LGTFs of real spherical harmonics are found a little more complicated than those of the LGTFs of complex spherical harmonics due to the summations over magnetic quantum numbers. Keywords: molecular
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Quintero, Niurka, José Cuesta, and Renato Alvarez-Nodarse. "Functionals of Harmonics Functions." Proceedings 2, no. 1 (2018): 17. http://dx.doi.org/10.3390/proceedings2010017.

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Singh, Saransh, Donald E. Boyce, Joel V. Bernier, and Nathan R. Barton. "Discrete spherical harmonic functions for texture representation and analysis." Journal of Applied Crystallography 53, no. 5 (2020): 1299–309. http://dx.doi.org/10.1107/s1600576720011097.

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A basis of discrete harmonic functions for efficient representation and analysis of crystallographic texture is presented. Discrete harmonics are a numerical representation of the harmonics on the sphere. A finite element formulation is utilized to calculate these orthonormal basis functions, which provides several advantageous features for quantitative texture analysis. These include high-precision numerical integration, a simple implementation of the non-negativity constraint and computational efficiency. Simple examples of pole figure and texture interpolation and of Fourier filtering using
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Foskolos, Georgios. "Measurement-Based Current-Harmonics Modeling of Aggregated Electric-Vehicle Loads Using Power-Exponential Functions." World Electric Vehicle Journal 11, no. 3 (2020): 51. http://dx.doi.org/10.3390/wevj11030051.

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This paper presents an aggregate current-harmonic load model using power exponential functions and built from actual measurement data during the individual charging of four different fully electric vehicles. The model is based on individual emitted current harmonics as a function of state of charge (SOC), and was used to deterministically simulate the simultaneous charging of six vehicles fed from the same bus. The aggregation of current harmonics up to the 11th was simulated in order to find the circumstances when maximal current-harmonic magnitude occurs, and the phase-angle location. The nu
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Juhas, Anamarija, and Ladislav A. Novak. "Maximally Flat Waveforms with Finite Number of Harmonics in Class-FPower Amplifiers." Mathematical Problems in Engineering 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/169590.

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In this paper general solution to the problem of finding maximally flat waveforms with finite number of harmonics (maximally flat trigonometric polynomials) is provided. Waveform coefficients are expressed in closed form as functions of harmonic orders. Two special cases of maximally flat waveforms (so-called maximally flat even harmonic and maximally flat odd harmonic waveforms), which proved to play an important role in class-Fand inverse class-Fpower amplifier (PA) operations, are also considered. For these two special types of waveforms, coefficients are expressed as functions of two param
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Kondratyuk, A. A. "SPHERICAL HARMONICS AND SUBHARMONIC FUNCTIONS." Mathematics of the USSR-Sbornik 53, no. 1 (1986): 147–67. http://dx.doi.org/10.1070/sm1986v053n01abeh002914.

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Gong, Mao Fa, Guo Liang Li, Wen Hua Xia, Qing Xue Liu, and Jing Jing Wang. "A New Method to Detect Harmonics and Inter-Harmonics Based on Hilbert Marginal Spectrum." Applied Mechanics and Materials 229-231 (November 2012): 1060–63. http://dx.doi.org/10.4028/www.scientific.net/amm.229-231.1060.

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Aiming at the problem that harmonic pollution is becoming more and more serious in power system, a new method to detect harmonics and inter-harmonics based on Hilbert marginal spectrum is proposed in this paper. Firstly, the original signal is decomposed into several Intrinsic Mode Functions through Empirical Mode Decomposition. Then Hilbert marginal spectrum is obtained through Hilbert Huang Transform. It contains the information of signal’s harmonics frequency and those amplitudes. Finally, both harmonics and inter-harmonics are detected by this method. Fourier transform lacks the ability of
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Zou, Wan Feng, and Lei Zhang. "An Active Power Filter Controller Based on Dual-DSPs in Low-Voltage Power System." Applied Mechanics and Materials 291-294 (February 2013): 2302–7. http://dx.doi.org/10.4028/www.scientific.net/amm.291-294.2302.

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To compensate harmonics from nonlinear load, the controller of Active Power Filter (APF) need to detect harmonic and generate compensation current in high speed. APF controller functions are divided into two parts: outside controller part and inside controller part. Inside controller part detect harmonic current and control the IGBT to generate grid harmonics current. Outside controller part detect common power parameters and generate signal of management in main circuit. An experiment circuit of APF Controller is established. Some experiments are presented here.
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NIKOLAEV, NIKOLAY Y., and HITOSHI IBA. "GENETIC PROGRAMMING OF POLYNOMIAL HARMONIC NETWORKS USING THE DISCRETE FOURIER TRANSFORM." International Journal of Neural Systems 12, no. 05 (2002): 399–410. http://dx.doi.org/10.1142/s0129065702001242.

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This paper presents a genetic programming system that evolves polynomial harmonic networks. These are multilayer feed-forward neural networks with polynomial activation functions. The novel hybrids assume that harmonics with non-multiple frequencies may enter as inputs the activation polynomials. The harmonics with non-multiple, irregular frequencies are derived analytically using the discrete Fourier transform. The polynomial harmonic networks have tree-structured topology which makes them especially suitable for evolutionary structural search. Empirical results show that this hybrid genetic
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Navascués, M. A. "Fractal Spherical Harmonics." International Journal of Analysis 2013 (May 13, 2013): 1–7. http://dx.doi.org/10.1155/2013/927368.

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This paper tackles the construction of fractal maps on the unit sphere. The functions defined are a generalization of the classical spherical harmonics. The methodology used involves an iterated function system and a linear and bounded operator of functions on the sphere. For a suitable choice of the coefficients of the system, one obtains classical maps on the sphere. The different values of the system parameters provide Bessel sequences, frames, and Riesz fractal bases for the Lebesgue space of the square integrable functions on the sphere. The Laplace series expansion is generalized to a su
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Dissertations / Theses on the topic "Harmonics functions"

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Arafat, Hassan Mohammed Ahmed. "Mathematical Developments on Isotropic Positive Definite Functions on Spheres." Doctoral thesis, Universitat Jaume I, 2017. http://hdl.handle.net/10803/404050.

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In this thesis, three open problems related to the isotropic positive definite functions on the sphere have been solved. Firstly, we provide necessary and sufficient conditions for the equivalence of two Gaussian measures with two different covariance models with associated d-Schoenberg sequences. Secondly, we find the d-Schoenberg coefficients associated with an isotropic positive definite function on the sphere in terms of the Fourier coefficients on the circle. Thirdly, we drive the infimum of the second derivative at zero for the class of the locally supported isotropic positive definite
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Lopez, Jorge Nicolas. "Espaços de Poisson-Furstenberg e medidas invariantes para grupos de Lie semi-simples." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/305834.

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Orientadores: Luiz Antonio Barrera San Martin, Paulo Regis Caron Ruffino<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-04T03:20:41Z (GMT). No. of bitstreams: 1 Lopez_JorgeNicolas_D.pdf: 956037 bytes, checksum: ce1c7712a7ab2ad21d0e46479e50f04a (MD5) Previous issue date: 2005<br>Doutorado<br>Matematica<br>Doutor em Matemática
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Seibert, Katrin [Verfasser]. "Spin-weighted spherical harmonics and their application for the construction of tensor slepian functions on the spherical cap / Katrin Seibert." Siegen : Universitätsbibliothek der Universität Siegen, 2019. http://d-nb.info/117736641X/34.

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Foskolos, Georgios. "Current harmonic modeling of aggregated electric vehicle loads in the low voltage grid." Licentiate thesis, Mälardalens högskola, Framtidens energi, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-53169.

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The proliferation of Electric Vehicles (EVs) poses new challenges for the Distribution System Operator (DSO). For example, the rectifiers that are used for charging EV batteries could significantly influence Power Quality (PQ), in terms of harmonic distortion. The emissions from individual EV, are well regulated by current harmonic emission standards. But what the aggregation of multiple EV loads will look like is still uncertain and the research being made in this area is still in its early stage.  The DSO responsibilities include ensuring grid code compliance confirmed by PQ metering.  In ge
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Quellmalz, Michael. "Reconstructing Functions on the Sphere from Circular Means." Universitätsverlag Chemnitz, 2019. https://monarch.qucosa.de/id/qucosa%3A38406.

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The present thesis considers the problem of reconstructing a function f that is defined on the d-dimensional unit sphere from its mean values along hyperplane sections. In case of the two-dimensional sphere, these plane sections are circles. In many tomographic applications, however, only limited data is available. Therefore, one is interested in the reconstruction of the function f from its mean values with respect to only some subfamily of all hyperplane sections of the sphere. Compared with the full data case, the limited data problem is more challenging and raises several questions. The fi
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Neves, Eduardo de Amorim 1982. "Difusões dependendo diferenciavelmente de métricas e conexões." [s.n.], 2013. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306331.

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Orientador: Pedro José Catuogno<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-23T19:39:42Z (GMT). No. of bitstreams: 1 Neves_EduardodeAmorim_D.pdf: 2575933 bytes, checksum: c52665fabd4cb103ecdff3106990155e (MD5) Previous issue date: 2013<br>Resumo: Esta tese está dividida em duas partes. Na primeira parte, faremos uma abordagem probabilística para a teoria de aplicações L-harmônicas em variedades diferenciáveis, passaremos para esse contexto os Teoremas de Liouville, Picard, Elworth
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Alhwaitiy, Hebah Sulaiman. "POTENTIAL THEORY AND HARMONIC FUNCTIONS." Kent State University / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=kent1448671803.

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Abrahamson, Krista. "History, Implementation, and Pedagogical Implications of an Updated System of Functional Analysis." Thesis, University of Oregon, 2016. http://hdl.handle.net/1794/20480.

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This dissertation follows the history of functional ideas and their pedagogy, illuminates with many examples the implementation of my updated system of Functional Analysis, and discusses the pedagogical implications that this updated system implies. The main goal is to update a system of labeling to be as pedagogically friendly as possible, in order to assist students and teachers of harmony to more easily and enjoyably learn, teach, and engage with common-practice tonal harmonic practice. Example syllabi, assignments, classroom demonstrations, and long projects are also included, and each asp
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Petersen, Willis L. "The Lie Symmetries of a Few Classes of Harmonic Functions." Diss., CLICK HERE for online access, 2005. http://contentdm.lib.byu.edu/ETD/image/etd837.pdf.

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Castro, Mario Henrique de. "Diferentes noções de diferenciabilidade para funções definidas na esfera." Universidade de São Paulo, 2007. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-26042007-120351/.

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Neste trabalho estudamos diferentes noções de diferenciabilidade para funções definidas na esfera unitária S^n-1 de R^n, n>=2. Em relação à derivada usual, encontramos condições necessárias e/ou suficientes para que uma função seja diferenciável até uma ordem fixada. Para as outras duas, a derivada forte de Laplace-Beltrami e a derivada fraca, apresentamos algumas propriedades básicas e procuramos condições que garantam a equivalência destas com a diferenciabilidade usual.<br>In this work we study different notions of differentiability for functions defined on the unit sphere S^n-1 of R^n, n>=
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Books on the topic "Harmonics functions"

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Ellipsoidal harmonics: Theory and applications. Cambridge University Press, 2012.

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Efthimiou, Costas. Spherical harmonics in p dimensions. World Scientific, 2014.

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Avery, John. Hyperspherical Harmonics: Applications in Quantum Theory. Springer Netherlands, 1989.

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Gangolli, R. A. Harmonic analysis of spherical functions on real reductive groups. Springer-Verlag, 1988.

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(Michael), Schreiner M., Hutter Kolumban, and SpringerLink (Online service), eds. Spherical Functions of Mathematical Geosciences: A Scalar, Vectorial, and Tensorial Setup. Springer Berlin Heidelberg, 2009.

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Haglund, James. The q, t-Catalan numbers and the space of diagonal harmonics: With an appendix on the combinatorics of Macdonald polynomials. American Mathematical Society, 2008.

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The q, t-Catalan numbers and the space of diagonal harmonics: With an appendix on the combinatorics of Macdonald polynomials. American Mathematical Society, 2008.

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Atkinson, Kendall E. Spherical Harmonics and Approximations on the Unit Sphere: An Introduction. Springer Berlin Heidelberg, 2012.

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Rapp, R. Ocean domains and maximum degree of spherical harmonic and orthonormal expansions. National Aeronautics and Space Administration, Goddard Space Flight Center, 1999.

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Rapp, R. Ocean domains and maximum degree of spherical harmonic and orthonormal expansions. National Aeronautics and Space Administration, Goddard Space Flight Center, 1999.

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Book chapters on the topic "Harmonics functions"

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Avery, John. "Many-Dimensional Hydrogenlike Wave Functions in Direct Space." In Hyperspherical Harmonics. Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-2323-2_6.

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Torres del Castillo, G. F. "Spin-Weighted Spherical Harmonics." In 3-D Spinors, Spin-Weighted Functions and their Applications. Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-0-8176-8146-3_2.

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Torres del Castillo, G. F. "Spin-Weighted Cylindrical Harmonics." In 3-D Spinors, Spin-Weighted Functions and their Applications. Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-0-8176-8146-3_4.

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Freeden, Willi, and Martin Gutting. "Spherical Harmonics in $${\mathbb{R}}^{q}$$." In Special Functions of Mathematical (Geo-)Physics. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0563-6_6.

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Torres del Castillo, G. F. "Spin-Weighted Spherical Harmonics. Applications." In 3-D Spinors, Spin-Weighted Functions and their Applications. Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-0-8176-8146-3_3.

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Freeden, Willi, and Martin Gutting. "Scalar Spherical Harmonics in $$\mathbb{R}^3 $$." In Special Functions of Mathematical (Geo-)Physics. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0563-6_4.

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Freeden, Willi, and Martin Gutting. "Vectorial Spherical Harmonics in $${\mathbb{R}}^{3}$$." In Special Functions of Mathematical (Geo-)Physics. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0563-6_5.

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Gürlebeck, Klaus, and Hung Manh Nguyen. "On ψ-hyperholomorphic Functions and a Decomposition of Harmonics." In Trends in Mathematics. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-08771-9_12.

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Coppens, Marc-Olivier, and Benoit B. Mandelbrot. "Easy and Natural Generation of Multifractals: Multiplying Harmonics of Periodic Functions." In Fractals. Springer London, 1999. http://dx.doi.org/10.1007/978-1-4471-0873-3_8.

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Abreu, Luis Daniel, and Hans G. Feichtinger. "Function Spaces of Polyanalytic Functions." In Harmonic and Complex Analysis and its Applications. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-01806-5_1.

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Conference papers on the topic "Harmonics functions"

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Polec, Victoria F., Virgil Maier, Sorin G. Pavel, Horia G. Beleiu, and Claudiu Ciorca. "Graphic functions analytical identification at flicker evaluation." In 2014 16th International Conference on Harmonics and Quality of Power (ICHQP). IEEE, 2014. http://dx.doi.org/10.1109/ichqp.2014.6842829.

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Xu, Huiying, and Yinlong Sun. "Representing scattering functions with spherical harmonics of spectral Fourier components." In Electronic Imaging 2004, edited by Charles A. Bouman and Eric L. Miller. SPIE, 2004. http://dx.doi.org/10.1117/12.527295.

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Cojoc, Dan. "Rotation-invariant pattern recognition using circular harmonics and synthetic discriminant functions." In ROMOPTO '97: Fifth Conference on Optics, edited by Valentin I. Vlad and Dan C. Dumitras. SPIE, 1998. http://dx.doi.org/10.1117/12.312785.

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Belegundu, Ashok D., and Michael D. Grissom. "Optimal Design of a Segmented Tube With Side Branches for Noise Reduction." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-88691.

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Acoustic filters, or mufflers, are used in a number of applications for suppression or attenuation of sound. These mufflers use pipes with side branches and/or Helmholtz resonators thus routing the flow through a number of passages wherein the waves are partially reflected resulting in sound power attenuation. With the idea of using a pipe for active noise cancellation to reduce cabin noise in propeller aircraft, we define an objective function that maximizes sound pressure (or other criteria) at a given frequency f0 while minimizing (attenuating) the pressure at other harmonics m1 f0, m2 f0 e
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Farhang, Kambiz, and Vinay Ghatti. "A Higher Order Synthesis for Harmonic Motion Generating RSSR Mechanisms." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-16110.

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Consideration of a mechanism for high-speed application inevitably poses certain kinematic design requirements that can be cast as a function generation synthesis problem involving the entire motion cycle of the mechanism. This paper addresses such application of RSSR four bar mechanisms for high-speed application. It employs a perturbational kinematic analysis of the mechanism to obtain approximate equations relating the follower and input angular displacements. The follower angular motion is derived, approximately, as a linear combination of two simple harmonic functions, in terms of the fir
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Farhang, Kambiz, Vinay Ghatti, and Jorge M. Cabradilla. "Design of Harmonic Motion Generating RSSR Four Bar Mechanisms for High Speed Application." In ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/detc2004-57559.

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Consideration of a mechanism for high-speed application inevitably poses certain kinematic design requirements that can be cast as a function generation synthesis problem involving the entire motion cycle of the mechanism. This paper addresses such application of RSSR four bar mechanisms for high-speed application. It employs a perturbational kinematic analysis of the mechanism to obtain approximate equations relating the follower and input angular displacements. The follower angular motion is derived, approximately, as a linear combination of two simple harmonic functions, in terms of the fir
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Jaumouille´, Vincent, and Jean-Jacques Sinou. "Dynamic Analysis of Structures With Nonlinear Bolted Joints by Using an Adaptive Harmonic Balance Method." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87162.

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Aeronautical structures are commonly assembled with bolted joints in which friction phenomena provide damping on the dynamic behaviour. Some models, mostly non linear, have consequently been developed and the harmonic balance method (HBM) is adapted to compute non linear response functions in the frequency domain. The basic idea is to develop the response as a Fourier series and to solve equations linking Fourier coefficients. One specific HBM feature is that response accuracy improves as the number of harmonics increases, at the expense of larger computational time. Thus the aim of this study
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Tu, Q., and J. Rastegar. "Trajectory Pattern Method Based Trajectory Synthesis and Inverse Dynamics Formulation for Minimal Vibrational Excitation for Flexible Structures." In ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-detc/mech-1176.

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Abstract A new approach to trajectory synthesis and formulation of the inverse dynamics model of flexible structures for point to point motions with minimal high frequency component of the actuating torques (forces) is presented. Trajectories are synthesized such that the flexible structure comes to rest undeformed at the completion of motion. The developed method is based on the Trajectory Pattern Method. In this approach, an appropriate trajectory pattern is selected and described in parametric form. The inverse dynamics model of the system is formulated in terms of the trajectory parameters
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Pray, Carl M., and Stephen A. Hambric. "Finite Element Study of Harmonic Forcing Function Scattering Mechanisms for Cylindrical Structures." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-32686.

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Low frequency sound radiation from cylindrical structures is generally dominated by radiation from low order (M=0, 1) circumferential harmonic modes. The high order circumferential harmonic modes are inefficient radiators below the coincidence frequency. For cylindrical structures excited by low frequency, high circumferential order (e.g. N=10) forcing functions, the radiated sound will be dominated by radiation from the low order modes if the forcing function is scattered by structural asymmetries into these modes. In this study, cylindrical structures of varying levels of asymmetry are exami
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Reddy, T. Narasa, and M. V. Subramanyam. "Fuzzy Logic Controlled Shunt Active Power Filter for Mitigation of Harmonics with Different Membership Functions." In 2009 International Conference on Advances in Computing, Control, & Telecommunication Technologies (ACT 2009). IEEE, 2009. http://dx.doi.org/10.1109/act.2009.157.

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Reports on the topic "Harmonics functions"

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Oh, H. G., H. R. Lee, Thomas F. George, and C. I. Um. Exact Wave Functions and Coherent States of a Damped Driven Harmonic Oscillator. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada205785.

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