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Recent theories and applications in approximation theory. [PDF]
Approximation theory is a deep theoretical study of methods that use numerical approximation for the problems of mathematical analysis. In practical use, it is typically the application of computer simulation and other forms of computation to problems in various scientific disciplines.
Soleymani F +4 more
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Accuracy Assessment of LiDAR-Derived Digital Elevation Models Based on Approximation Theory
The cumulative error at a point in a LiDAR-derived DEM consists of three components: propagated LiDAR-sensor error, propagated ground error, and interpolation error.
XiaoHang Liu, Hai Hu, Peng Hu
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A sufficient condition for null controllability of nonlinear control systems [PDF]
Classical control methods such as Pontryagin Maximum Principle and Bang-Bang Principle and other methods are not usually useful for solving opti-mal control systems (OCS) specially optimal control of nonlinear systems (OCNS).
A. Heydari, A.V. Kamyad
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Generalised discretisation of continuous-time distributions
In this study, the definition of discretisation that was proposed recently for continuous-time distributions is made applicable not only to ordinary functions but to a variety of distributions including weak derivatives such that they could be viewed ...
Shin Kawai, Noriyuki Hori, Noriyuki Hori
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Adaptive beamformers at the element level usually require a great number of training samples and the computational cost for calculating the weight vector for large phased array antennas is very high, which make it difficult for real‐time applications. To
Wei Gao +4 more
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Approximating the existential theory of the reals [PDF]
In the proceedings of the 14th Conference on Web and Internet Economics (WINE 2018)
Argyrios Deligkas +3 more
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On boundedness inequalities in the variation of certain Schurer-type operators; pp. 1–9 [PDF]
This paper is concerned with boundedness inequalities in the variation for the higher order derivatives of general Schurertype operators. In particular, the boundedness inequalities in the variation for the higher order derivatives of the Bernsteinâ ...
Andi Kivinukk, Tarmo Metsmägi
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Approximation Theory and Related Applications
The theory of approximation of functions is one of the central branches of mathematical analysis [...]
Yurii Kharkevych
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Data Based Construction of Kernels for Semi-Supervised Learning With Less Labels
This paper deals with the problem of semi-supervised learning using a small number of training samples. Traditional kernel based methods utilize either a fixed kernel or a combination of judiciously chosen kernels from a fixed dictionary. In contrast, we
Hrushikesh Mhaskar +3 more
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A First Approximation to Homotopy Theory [PDF]
Publisher Summary The suspension map, originally introduced by Freudenthal for the study of the homotopy groups of spheres, has proved to be important in general homotopy questions and it has been found that within the suspension range, the situation is simpler than in the general case.
Spanier, Edwin H., Whitehead, J. H. C.
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