violate
发表于 2025-3-23 10:27:48
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lattice
发表于 2025-3-23 14:57:42
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Expertise
发表于 2025-3-23 18:42:43
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演绎
发表于 2025-3-24 00:30:35
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舔食
发表于 2025-3-24 02:33:48
https://doi.org/10.1007/978-3-322-90909-1Despite the previous few chapters, the term “wavelets” usually refers to wavelets on ℝ, examples of which we construct in this chapter. The first two sections present the basics of Fourier analysis on ℝ.
overreach
发表于 2025-3-24 07:25:17
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reserve
发表于 2025-3-24 14:16:17
The Discrete Fourier Transform,In chapter 1 we worked with vectors in ℂ., that is, sequences of . complex numbers. Here we change notation in several ways. First, for reasons that will be more clear later, we index these . numbers over . ∈ {0, 1,..., . − 1} instead of {1, 2,..., .}. Second, instead of writing the components of . as .., we write them as .(.).
征税
发表于 2025-3-24 18:45:22
,Wavelets on ℤ,So far we have considered signals (vectors) of finite length, which we have extended periodically to be defined at all integers. In this chapter we deal with infinite signals, which are generally not periodic.
VEIL
发表于 2025-3-24 22:14:47
,Wavelets on ℝ,Despite the previous few chapters, the term “wavelets” usually refers to wavelets on ℝ, examples of which we construct in this chapter. The first two sections present the basics of Fourier analysis on ℝ.
让步
发表于 2025-3-25 00:02:12
Wavelets and Differential Equations,Many applications of mathematics require the numerical approximation of solutions of differential equations. In this chapter we give a brief introduction to this topic. A thorough discussion is beyond the scope of this text. Instead, by simple examples, we give an idea of the contribution wavelet theory can make to this subject.