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The accuracy of thin-film characterization in terahertz spectroscopy is mainly set by the thickness uncertainty. Physical thickness measurement has limited accuracy for thin-film samples thinner than a few hundreds of micrometers and is sometimes even ...
Xuequan Chen, Emma Pickwell-MacPherson
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Improved Convolutional Neural Network Based on Fast Exponentially Linear Unit Activation Function
The activation functions play increasingly important roles in deep convolutional neural networks. The traditional activation functions have some problems such as gradient disappearance, neuron death and output offset, and so on.
Zheng Qiumei, Tan Dan, Wang Fenghua
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A symmetrical exponential model of soil temperature in temperate steppe regions of China
Global warming has caused changes in various ecological processes and has potential to change ecosystems’ stability. In spite of comprehensive studies to investigate air temperatures under global warming, much less is known about changes in soil ...
Zhang Hui +5 more
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Convolutions involving the exponential function and the exponential integral [PDF]
The exponential integral ei(λx) and its associated functions ei+(λx) and ei-(λx) are defined as locally summable functions on the real line and their derivatives are found as distributions.
Fisher Brian, Al-Sirehy Fatma
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Transcendental numbers play an important role in many areas of science. This paper contains a short survey on transcendental numbers and some relations among them.
Florin F. Nichita
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Periodic solutions in multivariate invariance arguments [PDF]
Inspired by the recent results of A. E. Abbas we determine continuous multivariate utility functions invariant with respect to a wide family of transformations related to the shift transformations.
Jacek Chudziak, Sebastian Wójcik
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Exponential beams of electromagnetic radiation [PDF]
We show that in addition to well known Bessel, Hermite-Gauss, and Laguerre-Gauss beams of electromagnetic radiation, one may also construct exponential beams.
Allen L +13 more
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Exponential functionals of Lévy processes [PDF]
This text surveys properties and applications of the exponential functional $\int_0^t\exp(- _s)ds$ of real-valued L vy processes $ =( _t,t\geq0)$.
Bertoin, Jean, Yor, Marc
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Dual Taylor Series, Spline Based Function and Integral Approximation and Applications
In this paper, function approximation is utilized to establish functional series approximations to integrals. The starting point is the definition of a dual Taylor series, which is a natural extension of a Taylor series, and spline based series ...
Roy M. Howard
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Increasing property and logarithmic convexity of functions involving Dirichlet lambda function
In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
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