Results 1 to 10 of about 14,644 (190)
The two-sided laplace transform for boehmians
Integral Transforms and Special Functions, 1994 An extension of the two-sided Laplace transform to a space of Boehmians is denned. The extension preserves operational properties of the transform and applies to generalized functions with unbounded support which are locally of infinite order. A large class of analytic functions which are transforms of Boehmians is described.
Piotr Mikusiński +2 more
exaly +6 more sources
Inverse two-sided Laplace transform for probability density functions
Journal of Computational and Applied Mathematics, 1998 The author studies numerical inversion of the two-sided Laplace transform corresponding to a positive function, typically a probability density function. He consideres the problem where the data are the values of the first \(M\) derivatives of \(F(s)\) at the origin, related to the moments \(\mu_j\), \(j= 0,1,\dots, M\) of the function \(f(t)\) through
Aldo Tagliani
exaly +5 more sources
Adaptive Two Sided Laplace Transforms: A Learnable, Interpretable, and Scalable Replacement for Self-Attention [PDF]
We propose an innovative, learnable two-sided short-time Laplace transform (STLT) mechanism to supplant the traditional self attention in transformer-based LLMs. Our STLT introduces trainable parameters for each Laplace node, enabling end-to-end learning of decay rates , oscillatory frequencies, and window bandwidth T. This flexibility allows the model
Kiruluta, Andrew
openalex +3 more sources
Loop Representations for 2+1 Gravity on a Torus [PDF]
, 1993 We study the loop representation of the quantum theory for 2+1 dimensional general relativity on a manifold, $M = {\cal T}^2 \times {\cal R}$, where ${\cal T}^2$ is the torus, and compare it with the connection representation for this system.
Ashtekar A +15 more
core +2 more sources
Wave propagation in a infectious disease model with non-local diffusion
Advances in Difference Equations, 2019 In this paper, we propose a nonlocal diffusion infectious disease model with nonlinear incidences and distributed delay to model the transmission of the epidemic.
Yueling Cheng, Dianchen Lu
doaj +1 more source
Mathematics, 2019 In this paper, we study the traveling wave solutions for a nonlocal dispersal SIR epidemic model with standard incidence rate and nonlocal delayed transmission.
Kuilin Wu, Kai Zhou
doaj +1 more source
Distributional versions of Littlewood's Tauberian theorem [PDF]
, 2010 We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We apply these Tauberian results to deduce a number of Tauberian theorems for power series where Ces\`{a}
A. E. Ingham +27 more
core +4 more sources
Traveling Wave Solutions for Epidemic Cholera Model with Disease-Related Death
The Scientific World Journal, 2014 Based on Codeço’s cholera model (2001), an epidemic cholera model that incorporates the pathogen diffusion and disease-related death is proposed. The formula for minimal wave speed c∗ is given.
Tianran Zhang, Qingming Gou
doaj +1 more source
A Note on First Passage Functionals for Lévy Processes with Jumps of Rational Laplace Transforms
Abstract and Applied Analysis, 2016 This paper investigates the two-sided first exit problem for a jump process having jumps with rational Laplace transform. The corresponding boundary value problem is solved to obtain an explicit formula for the first passage functional.
Djilali Ait-Aoudia
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The two-sided Laplace transformation over the Cayley-Dickson algebras and its applications [PDF]
Journal of Mathematical Sciences, 2009 55 ...
openaire +2 more sources