Answers and hints to selected exercises

@inproceedings{Leng2015AnswersAH,
  title={Answers and hints to selected exercises},
  author={Gangsong Leng and Yongming Liu},
  year={2015}
}
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References

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Nonseparable Multidimensional Perfect Reconstruction Filter Banks and
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TLDR
It is shown that this family of mixed wavelets with the structure wm, n(x) provides a complete set of orthogonal basis functions for signal analysis and provides greater frequency discrimination than is possible with harmonic wavelets whose frequency interval is always an octave.
THE TRANSIENT AND STEADY-STATE RESPONSE OF THE INFINITE BERNOULLI-EULER BEAM WITH DAMPING AND AN ELASTIC FOUNDATION
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This book presents a mathematical introduction to the theory of orthogonal wavelets and their uses in analysing functions and function spaces, both in one and in several variables. Starting with a…
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Orthonormal wavelet expansion method is applied to an analysis of atmospheric turbulence data which shows more than two decades of the inertial subrange spectrum. The result of the orthonor­ mal…
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Recent experimental measurements of the energy spectrum of turbulence at very large wave-numbers have shown that the motion represented by these wave-number components is determined by the kinematic…
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Mathematical Foundations of Quantum Mechanics was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth…
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We first recall the concepts of spectral eddy viscosity and diffusivity, derived from the two-point closures of turbulence, in the framework of large-eddy simulations in Fourier space. The case of a…
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