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Solution of an integral equation with a logarithmic kernel [PDF]
International Journal of Mathematics and Mathematical Sciences, 1990 A simple independent integral equation technique is presented to solve an integral equation with a logarithmic kernel which governs solutions of many two-dimensional Dirichlet boundary value problems involving two coplanar and parallel infinite strips ...
C. Sampath, D. J. Jain
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Nyström kernel algorithm based on least logarithmic hyperbolic cosine loss
Journal of Electronic Science and Technology, 2023 Kernel adaptive filters (KAFs) have sparked substantial attraction for online non-linear learning applications. It is noted that the effectiveness of KAFs is highly reliant on a rational learning criterion.
Shen-Jie Tang +8 more
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A Note on the Asymptotic Normality of the Kernel Deconvolution Density Estimator with Logarithmic Chi-Square Noise [PDF]
Econometrics, 2015 This paper studies the asymptotic normality for the kernel deconvolution estimator when the noise distribution is logarithmic chi-square; both identical and independently distributed observations and strong mixing observations are considered.
Yang Zu
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Artificial neural network analysis of a fractional cyber-epidemic model in wireless sensors under the proportional Hadamard–Caputo operator [PDF]
Scientific ReportsWe present a fractional order model for the spread of malware in wireless sensor networks that builds memory directly into the dynamics through the proportional Hadamard–Caputo operator.
Mohamed A. Barakat +5 more
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Logarithmic corrections for near-extremal black holes
Journal of High Energy PhysicsWe present the computation of logarithmic corrections to near-extremal black hole entropy from one-loop Euclidean gravity path integral around the near-horizon geometry. We extract these corrections employing a suitably modified heat kernel method, where
Nabamita Banerjee +2 more
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International Journal of Mathematics and Mathematical SciencesIn this paper, we use quasilinearization technique, product integration rule, and collocation method to present a new numerical method to solve nonlinear fractional Volterra integro-differential equations with logarithmic weakly singular kernel.
Qays Atshan Almusawi, Esmaeil Najafi
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Logarithmic terms in discrete heat kernel expansions in the quadrant
Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their InteractionsInternational audienceIn the context of lattice walk enumeration in cones, we consider the number of walks in the quarter plane with fixed starting and ending points, prescribed step-set and given length.
Nessmann, Andreas +2 more
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Journal of Functional Analysis, 2001 In this paper we will prove the logarithmic Sobolev inequality on free loop groups for various heat kernel measures which P. Malliavin (1989, 1991, in “Diffusion Process and Related Problems in Analysis (M. A. Pinsley, Ed.), Vol.
Inahama, Yuzuru
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Kernel Adaptive Filtering Prediction Algorithm of Chaotic Time Series [PDF]
Zhengzhou Daxue xuebao. Gongxue ban, 2023 In practical environment, chaotic time series often contain a lot of noise and outliers. Because of these interference factors, the prediction performance of the kernel adaptive filter based on the second-order similarity measure could decrease ...
LIU Qiang +3 more
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On the Negativity of the Walsh–Kaczmarz–Riesz Logarithmic Kernels [PDF]
Mathematica Pannonica, 2021 The main aim of this paper is to prove that the nonnegativity of the Riesz’s logarithmic kernels with respect to the Walsh– Kaczmarz system fails to hold.
Gát, György, Lucskai, Gábor
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