Results 191 to 200 of about 80,472 (232)
Vibration Signal Denoising Method Based on ICFO-SVMD and Improved Wavelet Thresholding. [PDF]
Sensors (Basel)Cui Y, He X, Wu Z, Zhang Q, Cao Y.
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Automatic Calculation of Average Power in Electroencephalography Signals for Enhanced Detection of Brain Activity and Behavioral Patterns. [PDF]
Biosensors (Basel)Avital N, Shulkin N, Malka D.
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Wearable sensor data-driven sports posture recognition using the ST-GCN spatio-temporal graph convolutional network. [PDF]
Sci RepZhang Z, Wang X.
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Comparative evaluation of filtration techniques for ECG signal denoising with emphasis on stationary wavelet transform. [PDF]
Sci RepÁdám N +4 more
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Journal of the Australian Mathematical Society, 2014
AbstractA Chebyshev set is a subset of a normed linear space that admits unique best approximations. In the first part of this paper we present some basic results concerning Chebyshev sets. In particular, we investigate properties of the metric projection map, sufficient conditions for a subset of a normed linear space to be a Chebyshev set, and ...
Fletcher, James, Moors, W
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AbstractA Chebyshev set is a subset of a normed linear space that admits unique best approximations. In the first part of this paper we present some basic results concerning Chebyshev sets. In particular, we investigate properties of the metric projection map, sufficient conditions for a subset of a normed linear space to be a Chebyshev set, and ...
Fletcher, James, Moors, W
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On L1 and Chebyshev estimation
Mathematical Programming, 1973The problem considered here is that of fitting a linear function to a set of points. The criterion normally used for this is least squares. We consider two alternatives, viz., least sum of absolute deviations (called the L1 criterion) and the least maximum absolute deviation (called the Chebyshev criterion). Each of these criteria give rise to a linear
Gautam Appa, Cyril Smith
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Pafnuty Chebyshev and Geography
The Mathematical Intelligencer, 2021The paper is a presentation of Pafnuty Lvovich Chebyshev's work on the construction of geographical maps. The historical context of his work is described. Further, an overview of Chebyshev's work on the subject is given. The impact of his work on other mathematicians, specifically Gaston Darboux, then Chebyshev's student Dmitry A.
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A generalization of the Chebyshev polynomials
Journal of Physics A: Mathematical and General, 2002Consider the weight function \[ p(x)= \begin{cases} {1\over {\pi}} \sqrt{{\prod_{j=1}^g (x-\alpha_j)} \over{(1-x^2)\prod_{j=1}^g (x-\beta_j)}}&\text{ for } x\in E \\ 0 &\text{ otherwise}\end{cases} \] where \(E\) is the union of \(g+1\) disjoint intervals, \( E=[-1, \alpha_1] \bigcup_{j=1}^{g-1} [\beta_j, \alpha_{j+1}]\bigcup [\beta_g, 1]\), \(-1 ...
Chen, Yang, Lawrence, Nigel
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On the Generalized Chebyshev Polynomials
SIAM Journal on Mathematical Analysis, 1987We study the spectrum of the Jacobi matrix \((\delta_{m,n+1}+\delta_{m,n-1}+aq^ n\delta_{m,n})\), \(m,n=0,1,..\). and the corresponding orthogonal polynomials. The spectral measure is computed when \(q\in (-1,1)\) and sufficient conditions are given to guarantee the absolute continuity of the spectral measure. When \(q>1\) or \(
Ismail, Mourad E. H., Mulla, Fuad S.
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