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Titlebook: Wavelet Analysis; The Scalable Structu Howard L. Resnikoff,Raymond O. Wells Textbook 1998 Springer Science+Business Media New York 1998 Mod

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One-Dimensional Wavelet Systems orthogonality is not present, these functions will allow reconstruction of a given . ∈ . . from the scalar products of . with the elements of the wavelet system, just as if it had been an orthonormal basis (this is the . property of wavelets, discussed in Section 5.3.1).
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Multiscale Representation of Geometry consequently, for boundary integrals. These boundary integrals have been used extensively in the wavelet—Galerkin solution for certain types of elliptic boundary value problems as discussed in Chapter 12.
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The New Mathematical Engineering engineering. In the brief period since its creation in 1987–88, it has reached a certain level of maturity as a well-defined mathematical discipline, with its own conferences, journals, research monographs, and textbooks proliferating at a rapid rate.
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Good Approximationsy an .. We can know, and our computing machines can know, only a finite number of decimal places in the numerical representation of a distance or a weight or a force or a temperature.. The eye has limited resolving power, the ear a limited frequency response, and comparable limitations hold for all
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