Solving Equations Using Khovanskii Bases

We develop a new eigenvalue method for solving structured polynomial equations over any field. The equations are defined on a projective algebraic variety which admits a rational parameterization by a Khovanskii basis, e.g., a Grassmannian in its Pl\"ucker embedding. This generalizes established algorithms for toric varieties, and introduces the effective use of Khovanskii bases in computer algebra. We investigate regularity questions and discuss several applications.Comment: 25 pages, 1 figure, 2 table

Indagine sull'utilizzo e conoscenza dei solfiti nella produzione primaria

La particolare composizione chimica dei prodotti ittici li rende da un lato ottimi dal punto di vista nutrizionale ma dall'altro altamente deperibili per l’elevato contenuto di sostanze azotate non proteiche e di acidi grassi insaturi particolarmente soggetti ai processi di ossidazione/irrancidimento. Allo scopo di aumentare la conservabilità o migliorare le caratteristiche qualitative dei crostacei, in particolare per prevenire il difetto della melanosi o "black spot", consistente nell’ annerimento del cefalotorace legato all’azione di un enzima endogeno, da molti anni è autorizzato l’impiego di composti solforati. L’uso di questa categoria di additivi come conservanti/antiossidanti è regolamentato dal D.M. 27 febbraio 1996, n. 209 e dal Reg. (CE) n. 1333/2008, che stabiliscono i livelli massimi consentiti nelle varie tipologie e pezzature di prodotti. L’etichettatura dei prodotti (etichette e documenti commerciali) prevede specifiche indicazioni per evidenziarne l’uso e le proprietà allergizzanti. Poiché dall’analisi dei manuali di corretta prassi igienica e dalla letteratura scientifica si è rilevato un insufficiente livello di informazioni pratiche sulle corrette procedure d’uso, si è deciso,in collaborazione con il Servizio Veterinario Azienda Usl 5 spezzino, di avviare un’indagine conoscitiva per verificare il livello di conoscenza dei produttori primari anche ai fini della programmazione di eventuali interventi formativi. I risultati dell’indagine attestano una scarsa conoscenza del problema e una completa assenza di procedure operative standardizzate

Covariance function modelling in local geodetic applications using the simplex method

Collocation has been widely applied in geodesy for estimating the gravity field of the Earth both locally and globally. Particularly, this is the standard geodetic method used to combine all the available data to get an integrated estimate of any functional of the anomalous potential T. The key point of the method is the definition of proper covariance functions of the data. Covariance function models have been proposed by many authors together with the related software. In this paper a new method for finding suitable covariance models has been devised. The covariance fitting problem is reduced to an optimization problem in Linear Programming and solved by using the Simplex Method. The procedure has been implemented in a FORTRAN95 software and has been tested on simulated and real data sets. These first tests proved that the proposed method is a reliable tool for estimating proper covariance function models to be used in the collocation procedure

MAPPING LOCAL CLIMATE ZONES WITH MULTIPLE GEODATA AND THE OPEN DATA CUBE: INSIGHTS OF DOMAIN USER REQUIREMENTS AND OUTLOOKS OF THE LCZ-ODC PROJECT

Rapid urbanization and climate change are intensifying the urban heat island (UHI) phenomenon across cities worldwide. There is a pressing need to implement evidence-based mitigation and adaptation strategies as well as to develop tools for effectively measuring the impact of such actions on UHI patterns. In this context, the Local Climate Zone (LCZ) concept is a well-established classification system commonly used for the assessment of UHI. With this in mind, we present here the LCZ-ODC project aiming to develop a methodology for LCZ mapping in the Metropolitan City of Milan (northern Italy) by leveraging multiple geospatial data and cutting-edge software tools, including the Open Data Cube (ODC). A key aim of the project is to develop user-oriented solutions facilitating the exploitation of the generated LCZ maps for different application tasks. In this paper, we first present a brief overview of the methodologies and data sources used in the literature for LCZ mapping. Then, we introduce the LCZ-ODC project, with a focus on the end-user requirements which were gathered through a questionnaire distributed to a sample of potential stakeholders. The primary objective of the survey was to collect insights and consolidate requirements related to the key features of LCZ maps that will be produced within the project. The outcomes of the survey play a pivotal role in guiding the project’s development phase, ensuring that the project outputs will effectively address the identified end-user needs

Effects of vegetarian versus Mediterranean diet on kidney function: Findings from the CARDIVEG study

BACKGROUND: The aim of the present study was to assess the effects of a lacto‐ovo‐vegetarian diet (VD), compared to a Mediterranean diet (MD), on kidney function in a group of subjects with medium‐to‐low cardiovascular risk profile. METHODS: We analysed 107 subjects (82 women, 25 men; median age 52) who followed a VD (n = 54) and a MD (n = 53) for 3 months in the CARDIVEG study, a randomized, open, crossover trial that compared the effects of these 2 diets on cardiovascular disease risk. RESULTS: The effect of the two diets on kidney function markers was evaluated by conducting a general linear model for repeated measurements adjusted for possible confounding factors such as age, sex, physical activity, alcohol, smoking, hypertension, LDL cholesterol, glucose and body weight change. A significant reduction in creatinine (−5.3%; P < .001), urea nitrogen levels (−9%; P = .001), blood urea nitrogen (BUN) (−8.7%; P = .001) and BUN/creatinine ratio (−5.8%; P < .001), and an increase in estimated glomerular filtration rate (eGFR) (+3.5%; P = .001) was observed during the VD period. On the contrary, no significant changes were noted in the MD group. Variations obtained in the two dietary interventions were significantly different (P < .0001) for creatinine levels, BUN/creatinine and eGFR, for which opposite trends were observed in the VD and MD groups. CONCLUSIONS: In a selected group of subjects with medium‐to‐low cardiovascular risk profile, a 3 month VD period determined significant improvements in kidney function markers. Further trials are needed to confirm these results