Dynamics of abelian subgroups of GL(n, C): a structure's Theorem

In this paper, we characterize the dynamic of every abelian subgroups $\mathcal{G}$ of GL($n$, $\mathbb{K}$), $\mathbb{K} = \mathbb{R}$ or $\mathbb{C}$. We show that there exists a $\mathcal{G}$-invariant, dense open set $U$ in $\mathbb{K}^{n}$ saturated by minimal orbits with $\mathbb{K}^{n}- U$ a union of at most $n$ $\mathcal{G}$-invariant vectorial subspaces of $\mathbb{K}^{n}$ of dimension $n-1$ or $n-2$ on $\mathbb{K}$. As a consequence, $\mathcal{G}$ has height at most $n$ and in particular it admits a minimal set in $\mathbb{K}^{n}-\{0\}$.Comment: 16 page

Influence of manufacturing parameters of knitted compression fabric on interface pressure

The influence of various parameters, such as knitted structure, elastane percentage, elastane yarn count and stitch length,on the interface pressure generated by compression knitted garment has been studied. An experimental device has beendeveloped to measure interface pressure by using a FlexiForce® sensor. The obtained result shows that the pressuregenerated by compression garment depends on the considered parameters. It is observed that plain knitted fabric causes highpressures on leg, generating a high value of interface pressure. Moreover, the increase in elastane percentage and elastaneyarn count cause an increase in interface pressure. Contrariwise, the increase in stitch length generates a decrease ininterface pressure. Mathematical models based on ANOVA analysis are also developed. The validity of these models hasbeen demonstrated using χ2-test

Impact of Magnetic Fields and Fins on Entropy Generation, Thermal, and Hydrodynamic Performance in the Ferrofluids Flow within a Mini Channel

The present work reports a CFD study of the magneto-convection of a ferrofluid (Fe3O4/water) circulating in a mini-channel under the influence of different vortex generators (fins and permanent magnets). The lower surface of the mini-channel is maintained at a constant temperature, while the upper surface is thermally insulated. The influence of fins, magnetic field intensity, and Reynolds number on the thermal and dynamic characteristics of the flow was numerically investigated using the finite volume method. The obtained results show that the coexistence of these two types of vortex generators considerably affects the flow structure; Entropy generation and heat transfer rate. Finally, the analysis of the different results shows that the concurrent presence of both the magnetic field and the fins results in a notably more efficient system. Using magnetic sources and fins simultaneously in a system with an intense magnetic field and a low Reynolds number can lead to a large gain in heat transfer

A Note on Leakage Diagnosis for an Irrigation Network

Abstract & ReferencesThis note is a contribution to the problem ofb leakage detection in irrigation networks. The main goal is to reduce the lost water due to the leakages. This lost water represents a source of useless electrical energy spending. The problem is tackled by using water volume-balance method. The considered case study concerns the irrigation network of Carpentras, situated in south of France

Machine learning-derived cumulative health measure for assessing disease impact in dairy cattle

Dairy cattle’s susceptibility to diseases significantly impacts their health, welfare, and longevity. Disability weights reflect the relative severity or impact of important diseases and provide an extension of epidemiological frequency measures. They are central for comparing disease burden across diverse causes when summarizing health status and disease severity. Yet, they often reflect group-level health status and rely on expert judgment, which is subjective. In absence of an objective approach, this study aimed to create disability weight metrics using pathophysiological data with machine learning approach. Four binary classifiers using a generalized linear model with Lasso regularization were developed to identify distinguishing features for healthy and diseased cows affected by hypocalcemia, ketosis, metritis and mastitis. Model performance, assessed via the Area Under the Curve (AUC), reached values of 0.72, 0.66, 0.82, and 0.92 for distinguishing hypocalcemia, ketosis, metritis and mastitis in cows from healthy groups. The selected features were combined into a summary disability weight – cumulative health measure – for each disease computed through weighted sums of feature importance from classification models. Notably, the average cumulative health measure differed significantly between healthy and diseased groups (p < 0.05). The relative ranking of diseases based on the average cumulative health measure was comparable to the expert survey-based approach. Such features will offer insights into disease impact and will provide a standardized metric for comparing disease severity

Meeting of the Ecosystem Approach Correspondence Group on on Pollution Monitoring (CorMon Pollution)

In accordance with the UNEP/MAP Programme of Work adopted by COP 21 for the biennium 2020-2021, the United Nations Environment Programme/Mediterranean Action Plan-Barcelona Convention Secretariat (UNEP/MAP) and its Programme for the Assessment and Control of Marine Pollution in the Mediterranean (MED POL) organized the Meeting of the Ecosystem Approach Correspondence Group on Pollution Monitoring (CorMon on Pollution Monitoring). The Meeting was held via videoconference on 26-27 April 2021. 2. The main objectives of the Meeting were to: a) Review the Monitoring Guidelines/Protocols for IMAP Common Indicator 18, as well as the Monitoring Guidelines/Protocols for Analytical Quality Assurance and Reporting of Monitoring Data for IMAP Common Indicators 13, 14, 17, 18 and 20; b) Take stock of the state of play of inter-laboratory testing and good laboratory practice related to IMAP Ecological Objectives 5 and 9; c) Analyze the proposal for the integration and aggregation rules for IMAP Ecological Objectives 5, 9 and 10 and assessment criteria for contaminants and nutrients; d) Recommend the ways and means to strengthen implementation of IMAP Pollution Cluster towards preparation of the 2023 MED Quality Status Report

Clothing Pressure Modeling Using the Modified Laplace’s Law

Today, various kinds of pressure garments are designed for specific applications in medical and sports fields. Knitted garments are the most used in these applications due to their high extensibility. The objective of the investigation reported in this article was to develop a theoretical relationship based on Laplace’s law, which describes the compression behavior of knitted compression samples in quasi-static deformation from an initially relaxed state to an extended state. Even though several researchers have used Laplace’s law, there is some discord between theoretical and experimental results. So, it is essential to pinpoint the most important parameters that influence the mechanical properties of the compression knitted garment in order to better describe the interface pressure it applies to the human body. Fabric parameters that influenced the interface pressure, such as elasticity modulus, strain, and thickness, were determined and integrated into Laplace’s law. </jats:p

Influence of manufacturing parameters of knitted compression fabric on interface pressure

426-433The influence of various parameters, such as knitted structure, elastane percentage, elastane yarn count and stitch length, on the interface pressure generated by compression knitted garment has been studied. An experimental device has been developed to measure interface pressure by using a FlexiForce® sensor. The obtained result shows that the pressure generated by compression garment depends on the considered parameters. It is observed that plain knitted fabric causes high pressures on leg, generating a high value of interface pressure. Moreover, the increase in elastane percentage and elastane yarn count cause an increase in interface pressure. Contrariwise, the increase in stitch length generates a decrease in interface pressure. Mathematical models based on ANOVA analysis are also developed. The validity of these models has been demonstrated using χ2-test