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Titlebook: Applied Mathematics; Data Compression, Sp Charles K. Chui,Qingtang Jiang Textbook 2013 Atlantis Press and the authors 2013 Algorithms and i

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https://doi.org/10.1007/978-3-658-12376-5were extended to include infinite-dimensional sequence and function spaces, that the inner product was applied to derive such mathematical tools as orthogonal projection and the Gram-Schmidt orthogonalization process, and that the concept of completeness was studied to introduced Hilbert and Banach spaces.
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https://doi.org/10.1007/978-3-322-87405-4ble neighborhood of any ., called “region of interest (ROI)” in engineering applications, a suitable window function is used to introduce the localized Fourier transform (LFT) and to construct time-frequency basis functions in Sects. . and ., respectively, of the previous chapter.
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https://doi.org/10.1007/978-3-658-12376-5were extended to include infinite-dimensional sequence and function spaces, that the inner product was applied to derive such mathematical tools as orthogonal projection and the Gram-Schmidt orthogonalization process, and that the concept of completeness was studied to introduced Hilbert and Banach
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https://doi.org/10.1007/978-3-322-85567-1d in this chapter is that compressed data must be recoverable, at least approximately. The most commonly used representation of data (particularly compressed data) for communication and storage is a string of numbers consisting only of zeros, 0’s, and ones, 1’s, without using any punctuation. This s
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Entscheidungsmodelle zur Investitionsplanung both orthogonal and biorthogonal wavelets as well as their corresponding scaling functions; secondly to study the stability and smoothness properties of these basis functions; and thirdly to investigate the details in the derivation of fast computational algorithms, the lifting schemes, for the imp
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https://doi.org/10.1007/978-3-658-12376-5The study of linear transformations, eigenvalue problems, and spectral decomposition in Chap. 2 is extended in this chapter to singular value decomposition, principal component analysis, and various operator norms for two areas of applications to data representations.
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