

What are the implications of the distribution of zeros for the uniqueness of solutions to mathematical problems? How are zeros used in the construction of orthogonal polynomials?
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- How can machine learning techniques be used to approximate or analyze the zeros of complex functions? What are the connections between the zeros of a function and its symmetries?
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- What are the roots of autoregressive moving average (ARMA) models? How are zeros used in the study of wavelets on graphs?
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- What is polynomial interpolation and how is it related to zeros?
- What are the vanishing moments of a wavelet and how are they related to zeros of its Fourier transform? How are zeros used in the study of fractals and self-similar structures?
- How can the concept of zeros be adapted for different levels of mathematical understanding? What is the relationship between the zeros of a function and its antiderivative?
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