Results 11 to 20 of about 1,487,842 (265)
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
doaj +1 more source
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
doaj +1 more source
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 ...
openaire +3 more sources
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
doaj +1 more source
QUANTUM EXPONENTIAL FUNCTION [PDF]
Reviews in Mathematical Physics, 2000 A special function playing an essential role in the construction of quantum "ax+b"-group is introduced and investigated. The function is denoted by Fℏ(r,ϱ), where ℏ is a constant such that the deformation parameter q2=e-iℏ. The first variable r runs over non-zero real numbers; the range of the second one depends on the sign of r: ϱ=0 for r>0 and ϱ=±
openaire +2 more sources
Fractal and Fractional, 2022 Using the Lebedev–Milin inequalities, bounds on the logarithmic coefficients of an analytic function can be transferred to estimates on coefficients of the function itself and related functions.
Lei Shi +4 more
doaj +1 more source
INCOMPLETE EXPONENTIAL SUMS OVER EXPONENTIAL FUNCTIONS [PDF]
The Quarterly Journal of Mathematics, 2014 We extend some methods of bounding exponential sums of the type $\displaystyle\sum_{n\le N}e^{2 iag^n/p}$ to deal with the case when $g$ is not necessarily a primitive root. We also show some recent results of Shkredov concerning additive properties of multiplicative subgroups imply new bounds for the sums under consideration.
openaire +2 more sources
Expoential bounds on the number of causal triangulations [PDF]
, 2014 We prove that the number of combinatorially distinct causal 3-dimensional triangulations homeomorphic to the 3-dimensional sphere is bounded by an exponential function of the number of tetrahedra.
Durhuus, Bergfinnur, Jonsson, Thordur
core +1 more source
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
doaj +1 more source
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
doaj +1 more source