英语词汇“eigenfunction”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

　

单词	eigenfunction
释义	Trends of eigenfunction View usage for: eigenfunction in British English (ˈaɪɡənˌfʌŋkʃən) noun mathematics, physics a function satisfying a differential equation, esp an allowed function for a system in wave mechanics eigenfunction in American English (ˈaiɡənˌfʌŋkʃən) noun Math a characteristic vector in a vector space in which the elements are functions Also called: proper function Word origin [1925–30; ‹ G Eigenfunktion, equiv. to eigen- characteristic, particular + Funktion function]This word is first recorded in the period 1925–30. Other words that entered Englishat around the same time include: buildup, decibel, gimmick, runout, turnaround Examples of 'eigenfunction' in a sentence eigenfunction We also discuss the position eigenfunction and maximal localization states. Won Sang Chung, Hassan Hassanabadi 2019, 'A new higher order GUP: one dimensional quantum system', European Physical Journal C: Particles and Fieldshttp://link.springer.com/article/10.1140/epjc/s10052-019-6718-3. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode) We study an empirical eigenfunction-based algorithm for ranking with a data dependent hypothesis space. Min Xu, Qin Fang, Shaofan Wang 2014, 'Convergence Analysis of an Empirical Eigenfunction-Based Ranking Algorithm with TruncatedSparsity', Abstract and Applied Analysishttp://dx.doi.org/10.1155/2014/197476. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode) We show that the clamped column equation may not possess a positive first eigenfunction. Karaa Samir 2003, 'Properties of the first eigenfunctions of the clamped column equation', Theoretical and Applied Mechanicshttp://www.doiserbia.nb.rs/img/doi/1450-5584/2003/1450-55840304265K.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode) The results are in good agreement with those obtained via eigenfunction expansion. Constantine A. Valagiannopoulos 2009, 'Rigorous Solution to Plane Wave Scattering by an Arbitrary-Shaped Particle Embeddedinto a Cylindrical Cell of Similar Material', International Journal of Antennas and Propagationhttp://dx.doi.org/10.1155/2009/301461. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode) We also obtain a higher integrability property for the principal eigenfunction. J. Chabrowski, K. Tintarev 2011, 'Ground State for the Schrödinger Operator with the Weighted Hardy Potential', International Journal of Differential Equationshttp://dx.doi.org/10.1155/2011/358087. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode) We explicitly calculate the eigenfunction of this operator, as well as its periodic points. Tamás Kalmár-Nagy, Márton Kiss 2017, 'Complexity in Linear Systems: A Chaotic Linear Operator on the Space of Odd 2π-PeriodicFunctions', Complexityhttp://dx.doi.org/10.1155/2017/6020213. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode) Spectral projections are computed by means of an eigenfunction expansion. Robert Carlson 1997, 'Hill's equation for a homogeneous tree', Electronic Journal of Differential Equationshttp://ejde.math.txstate.edu/Volumes/1997/23/abstr.html. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode) This in turn gives rise to eigenvalue and eigenfunction asymptotic approximations. Sonja Currie, Bruce A. Watson 2005, 'Dirichlet-Neumann bracketing for boundary-value problems on graphs', Electronic Journal of Differential Equationshttp://ejde.math.txstate.edu/Volumes/2005/93/abstr.html. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode) We then proceed to present a friendly version of the eigenfunction method to project functions. Renato Lemus 2012, 'Quantum Numbers and the Eigenfunction Approach to Obtain Symmetry Adapted Functionsfor Discrete Symmetries', Symmetryhttp://www.mdpi.com/2073-8994/4/4/667. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode) Eigenfunction analyses have been widely used to model patterns of autocorrelation in time, space and phylogeny. José Alexandre Felizola Diniz Filho, Fabricio Villalobos, Luis Mauricio Bini 2015, 'The best of both worlds: Phylogenetic eigenvector regression and mapping', Genetics and Molecular Biologyhttp://www.scielo.br/scielo.php?script=sci_arttext&pid=S1415-47572015000300396&lng=en&tlng=en. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
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