Laplace Distributors and Laplace Transformations for Differential Categories
In a differential category and in Differential Linear Logic, the exponential conjunction ! admits structural maps, characterizing quantitativeoperations and symmetric co-structural maps, characterizing differentiation. In this paper, we introduce the notion of a Laplace distributor,which is an extra structural map which distributes the linear negation ...
Marie Kerjean, Jean-Simon Pacaud Lemay
openaire +4 more sources
Solving 3D Helmholtz Equation Using Triple Laplace-Aboodh-Sumudu Transform [PDF]
This paper introduces a novel integral transform, termed the triple Laplace-Aboodh-Sumudu transform (TLAST), by combining the Laplace transform, Aboodh transform, and Sumudu transform.
Hunaiber, Mona
core
Can AI be Easy? Lessons Learned From the EZR.py Toolkit
ABSTRACT Much recent press claims that developers no longer need to read code. We disagree, at least within the domain of tabular software‐engineering (SE) optimization tasks: rows of x$$ x $$ and y$$ y $$ values where the y$$ y $$ values are expensive to obtain.
Tim Menzies +2 more
wiley +1 more source
Complete analytic solutions for convection-diffusion-reaction-source equations without using an inverse Laplace transform. [PDF]
Kim AS.
europepmc +1 more source
Enhancing generalized spectral clustering with embedding Laplacian graph regularization
Abstract An enhanced generalised spectral clustering framework that addresses the limitations of existing methods by incorporating the Laplacian graph and group effect into a regularisation term is presented. By doing so, the framework significantly enhances discrimination power and proves highly effective in handling noisy data.
Hengmin Zhang +5 more
wiley +1 more source
Inverse Laplace transform and multiexponential fitting analysis of T2 relaxometry data: a phantom study with aqueous and fat containing samples. [PDF]
Ioannidis GS +5 more
europepmc +1 more source
Distributed k‐WTA Network for Multi‐Manipulator Competition With Experimental Verifications
ABSTRACT In this article, a new distributed k $k$‐winner‐take‐all (Dk $k$‐WTA) network is designed and used to construct a dynamic allocation scheme for competitive coordination tasks of multiple manipulators as embodied agents. The scheme is constructed based on the following two aspects. On one hand, with reference to a perspective that the Laplacian
Shengkai Sun, Yutong Li, Jianfeng Lv
wiley +1 more source
ABSTRACT Amid the ongoing global energy transition, the short‐circuit ratios of AC power grids are continuously decreasing. Grid‐forming voltage source converter‐based high voltage direct current transmission (GFM VSC‐HVDC) systems have therefore come to the forefront of attention.
Cheng Peng +7 more
wiley +1 more source
Laplace-transforms. (XI). The singularities of Laplace-transforms. (III)
openaire +4 more sources
Advances in Polymeric Insulating Materials: Global Progress in These 10 Years
ABSTRACT This journal, High Voltage, celebrates its 10th anniversary in 2026. To commemorate this significant milestone, this comprehensive special review article showcases the latest global research progress and cutting‐edge advancements in polymeric insulating materials, a critical component that underpins high‐voltage systems and is vital to modern ...
Yoshimichi Ohki +10 more
wiley +1 more source

