Rescaling and Asymptotic Acceleration in Unconstrained Quadratic Optimisation [0.03%]
二次无约束优化问题中的重新缩放与渐近加速法
Alexandra Zverovich,Matthew Hutchings,Bertrand Gauthier
Alexandra Zverovich
We investigate the properties of a class of piecewise-fractional maps arising from the introduction of an invariance under rescaling into convex quadratic maps. The subsequent maps are quasiconvex, and pseudoconvex on specific convex cones;...
Sabia Asghar,Qiyao Peng,Etelvina Javierre et al.
Sabia Asghar et al.
We consider an open, bounded, simply connected (Lipschitz) domain in R d , which contains a closed polyhedral surface or polygonal contour, referred to as the interface. From this interface, forces are exerted in the normal direction. The...
Impact of Vascular Network Structure Heterogeneity on Retinal Tissue Oxygenation [0.03%]
血管网络结构异质性对视网膜组织氧合的影响
Julia Arciero,Brendan C Fry,Croix Gyurek et al.
Julia Arciero et al.
A theoretical model of the human retina is simulated using two distinct vascular network geometries to predict the impact of heterogeneity in vascular network structure on retinal tissue oxygenation. Each vascular network is modeled as a co...
Retinal Venous Vulnerability in Primary Open Angle Glaucoma: The Combined Effects of Intraocular Pressure and Blood Pressure with Application to the Thessaloniki Eye Study [0.03%]
原发性开角型青光眼视网膜静脉脆弱性：应用塞萨洛尼基眼科研究的血压及眼压联合效应分析
Rajat Rai,Giovanna Guidoboni,Christopher K Wikle et al.
Rajat Rai et al.
Primary open angle glaucoma (POAG) is a leading cause of irreversible blindness with risk factors including elevated intraocular pressure (IOP), and both high and low blood pressure (BP). This study investigates the joint influence of IOP a...
Analysis of Waveform Parameters in the Retinal Vasculature via Mathematical Modeling and Data Analytics Methods [0.03%]
基于数学建模和数据分析方法的眼底血管波形参数分析研究
Lorenzo Sala,Kendall Lyons,Giovanna Guidoboni et al.
Lorenzo Sala et al.
Patient-specific mathematical modeling combined with data analytics methods presents a promising approach for analyzing retinal hemodynamics. In this study, we build upon previous developments in retinal blood flow modeling, integrating cli...
Manuel Estévez,Ray Karpman,Érika Roldán
Manuel Estévez
We study the puzzle graphs of hexagonal sliding puzzles of various shapes, and with various numbers of holes. The puzzle graph is a combinatorial model which captures the solvability and the complexity of sequential mechanical puzzles. Ques...
Sarah Arpin,Mingjie Chen,Kristin E Lauter et al.
Sarah Arpin et al.
In supersingular isogeny-based cryptography, the path-finding problem reduces to the endomorphism ring problem. Can path-finding be reduced to knowing just one endomorphism? It is known that a small degree endomorphism enables polynomial-ti...
A Case Study on the Practical Use of Low-Fidelity Modeling to Mitigate the Spread of COVID-19 Amongst the Underserved Farmworker Community [0.03%]
关于在无保障农场工人社区中抑制COVID-19传播的低 fidelity 建模实践案例研究
Leigh McCue-Weil,Margaret Knight,Maryellen Driscoll et al.
Leigh McCue-Weil et al.
In March of 2020, with the full magnitude of the COVID-19 pandemic yet to be seen, Costa and Martin released a report through the Economic Policy Institute noting that "To prevent infections and the spread of COVID-19 on farms, farm employe...
Case Reports
La matematica. 2023;2(1):223-241. DOI:10.1007/s44007-023-00043-4 2023
Kathrin Bringmann,Ben Kane
Kathrin Bringmann
In this paper, we consider representations of positive integers as sums of generalized m-gonal numbers, which extend the formula for the number of dots needed to make up a regular m-gon. We mainly restrict to the case where the sums contain...