Results 41 to 50 of about 51,428 (221)
Advanced Science, EarlyView.Synaptic vesicle (SV) motion and exocytosis dynamics in the presynaptic terminals of live neurons are intimately linked to synaptic transmission during neuronal activity. In this work, it is revealed that, during electrical stimulation, SVs located farther from their fusion sites exhibit greater straightness and experience larger mean forces directed ...
Gyunam Park +7 more
wiley +1 more source
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Symmetry and convexity of level sets of solutions to infinity Laplace's equation
Electronic Journal of Differential Equations, 1998 We consider the Dirichlet problem $$displaylines{ -Delta_infty u=f(u) quad hbox{in }Omega,,cr u=0quad hbox{on }partialOmega,,} $$ where $Delta_infty u=u_{x_i}u_{x_j}u_{x_ix_j}$ and $f$ is a nonnegative continuous function.
Edi Rosset
doaj
A Laplace transform approach to the quantum harmonic oscillator
, 2012 The one-dimensional quantum harmonic oscillator problem is examined via the Laplace transform method. The stationary states are determined by requiring definite parity and good behaviour of the eigenfunction at the origin and at ...
de Castro, Antonio S. +1 more
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Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.This review aims to provide a broad understanding for interdisciplinary researchers in engineering and clinical applications. It addresses the development and control of magnetic actuation systems (MASs) in clinical surgeries and their revolutionary effects in multiple clinical applications.
Yingxin Huo +3 more
wiley +1 more source
On the boundary H��lder regularity for the infinity Laplace equation
, 2019 In this note, we prove the boundary H lder regularity for the infinity Laplace equation under a proper geometric condition. This geometric condition is quite general, and the exterior cone condition, the Reifenberg flat domains, and the corkscrew domains (including the non-tangentially accessible domains) are special cases. The key idea, following [3],
Wu, Leyun, Lian, Yuanyuan, Zhang, Kai
openaire +2 more sources
Harmonic fields on the extended projective disc and a problem in optics
, 2007 The Hodge equations for 1-forms are studied on Beltrami's projective disc model for hyperbolic space. Ideal points lying beyond projective infinity arise naturally in both the geometric and analytic arguments.
Bateman H. +17 more
core +1 more source
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT The paper establishes an advanced computing algorithm to investigate the thermosolutal dynamics of an electrically conductive Brinkman‐type nanofluid that moves in a porous channel, and the fluid is acted on by an inclined magnetic field exerted externally.
Urwa Shehbaz +4 more
wiley +1 more source
Regional Shopping Objectives in British Grocery Retail Transactions Using Segmented Topic Models
Applied Stochastic Models in Business and Industry, EarlyView.ABSTRACT Understanding the customer behaviours behind transactional data has high commercial value in the grocery retail industry. Customers generate millions of transactions every day, choosing and buying products to satisfy specific shopping needs.
Mariflor Vega Carrasco +4 more
wiley +1 more source
Discontinuous gradient constraints and the infinity Laplacian [PDF]
, 2012 Motivated by tug-of-war games and asymptotic analysis of certain variational problems, we consider a gradient constraint problem involving the infinity Laplace operator.
D. Rossi +3 more
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