Results 21 to 30 of about 340,118 (259)
Bounds for Quotients of Inverse Trigonometric and Inverse Hyperbolic Functions
Axioms, 2022 We establish new simple bounds for the quotients of inverse trigonometric and inverse hyperbolic functions such as sin−1xsinh−1x and tanh−1xtan−1x. The main results provide polynomial bounds using even quadratic functions and exponential bounds under the
Sumedh B. Thool +3 more
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Exponential-Based Testability Index Allocation and Feasibility Analysis Method
IEEE Access, 2021 Existing mainstream testability index allocation (TIA) methods have the problem that the allocation value cannot reflect the index changes with the failure rate. One of the main reasons is that most of the existing methods use linear allocation functions,
Yixin Hu, Yigang Sun, Jiao Xue
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A symmetrical exponential model of soil temperature in temperate steppe regions of China
Open Geosciences, 2023 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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Numerically Stable form of Green’s Function for a Free-Free Uniform Timoshenko Beam
Mathematics, 2022 Beam models are widely applied in civil engineering, transport, and industry because the beams are basic structural elements. When dealing with the high-order modes of beam in the context of applying the modal analysis method, the numerical instability ...
Traian Mazilu
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On Degenerate Truncated Special Polynomials
Mathematics, 2020 The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation method and diverse special proof ...
Ugur Duran, Mehmet Acikgoz
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On Exponential Functionals of Lévy Processes [PDF]
Journal of Theoretical Probability, 2013 Exponential functionals of Lévy processes appear as stationary distributions of generalized Ornstein-Uhlenbeck (GOU) processes. In this paper we obtain the infinitesimal generator of the GOU process and show that it is a Feller process. Further we use these results to investigate properties of the mapping Φ, which maps two independent Lévy processes to
Behme, Anita, Lindner, Alexander
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Exponential rings, exponential polynomials and exponential functions [PDF]
Pacific Journal of Mathematics, 1984 An exponential ring is a pair (R,E), where R is a commutative ring with unit 1 and \(E: (R,+)\to U\) (the multiplicative group of units in R) satisfying \(E(x+y)=E(x)E(y)(x,y\in R),E(0)=1.\) In preparation for proving that each subset of \({\mathbb{R}}^ 2\) definable (with parameters) in the language of exponential rings has finitely many connected ...
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Sensors, 2021 Patch-based medical image registration has been well explored in recent decades. However, the patch fusion process can generate grid-like artifacts along the edge of patches for the following two reasons: firstly, in order to ensure the same size of ...
Liang Wu, Shunbo Hu, Changchun Liu
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Sensors, 2019 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
IEEE Access, 2019 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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