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Biomedical Signal Processing and Control, 2021
EMG signals have played a pivotal role as a fundamental component of myriad modern prostheses to control prostheses’ movements as well as identifying individual and combined hand or finger gestures.
Zahra Taghizadeh +2 more
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EMG signals have played a pivotal role as a fundamental component of myriad modern prostheses to control prostheses’ movements as well as identifying individual and combined hand or finger gestures.
Zahra Taghizadeh +2 more
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Mathematical Notes of the Academy of Sciences of the USSR, 1984
A Banach lattice E is called p-concave, \(1\leq ...
Novikov, I. Ya., Semenov, E. M.
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A Banach lattice E is called p-concave, \(1\leq ...
Novikov, I. Ya., Semenov, E. M.
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Decrease of Fourier coefficients of stationary measures
Mathematische Annalen, 2017Let $$\mu $$μ be a Borel probability measure on $${\mathrm {SL}}_2(\mathbb {R})$$SL2(R) with a finite exponential moment, and assume that the subgroup $$\varGamma _{\mu }$$Γμ generated by the support of $$\mu $$μ is Zariski dense.
Jialun Li
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Mathematics of the USSR-Sbornik, 1981
Let be an orthonormal system of functions on the interval , and let the function . We investigate the question of the convergence or divergence (depending on the smoothness of the function ) of series of the form where or with .It is shown that in a certain sense, the assertions obtained are definitive for the Haar system.Bibliography: 14 titles.
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Let be an orthonormal system of functions on the interval , and let the function . We investigate the question of the convergence or divergence (depending on the smoothness of the function ) of series of the form where or with .It is shown that in a certain sense, the assertions obtained are definitive for the Haar system.Bibliography: 14 titles.
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On Density of Fourier Coefficients
Canadian Mathematical Bulletin, 1973Letfbe anLintegrable real valued function of period 2π and let(1)be its Fourier series. It is known that iffis of bounded variation then allnanandnbn(n=1,2,3,…) lie in the interval [-V(F)/π, V(F)/π;] whereV(f) is the total variation off. M. Izumi and S.
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The calculation of Fourier Coefficients
SIAM Journal on Numerical Analysis, 1967where q is a positive integer and f(x) is a real function which, together with its first 2p derivatives, is continuous in the interval [0, 1]. The method involves calculating trapezoidal rule approximationsto 1 f(t) dt with different mesh ratios and combining these results. In the case that f(x) is a periodic function with period 1, this method reduces
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Biomedical Signal Processing and Control, 2020
Heart sounds are a rich source of information for early diagnosis of cardiac pathologies. Distinguishing normal from abnormal heart sounds requires a specially trained clinician.
Zaid Abduh +3 more
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Heart sounds are a rich source of information for early diagnosis of cardiac pathologies. Distinguishing normal from abnormal heart sounds requires a specially trained clinician.
Zaid Abduh +3 more
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Estimates of Fourier Coefficients
gmj, 2003Abstract Some well-known properties of the trigonometric system as well as of the Haar and Welsh systems are generalized to general orthonormal systems.
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The Möbius inversion and Fourier coefficients
Applied Mathematics and Computation, 2001The authors show that an analogue of the Möbius inversion formula in a commutative semigroup with unique factorization can be used to study \(n\)-dimensional Fourier coefficients. The authors utilize to this aim an arbitrary algebraic number field of degree \(n\), whose ring of integers is a unique factorization domain.
Zhao-Dou Chen, Yanan Shen, Jun Ding
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On the magnitude of Vilenkin–Fourier coefficients
European Journal of Mathematics, 2020Let us denote \(P=\{p_n\}\) a sequence of natural numbers, such that, \(p_n\geq 2\), \(\forall n\in\mathbb{N}\) and Let \(m_0=1\), \(m_n=p_nm_{n-1}\). Then, every \(x\in[0,1)\) can be written as \(x=\sum_{n=1}^{\infty}\frac{x_n}{m_n}\), where \(x_n\in\mathbb{Z}\cap[0,p_n)\).
Volosivets, Sergey S. +1 more
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