The rank of trifocal grassmann tensors

Grassmann tensors arise from classical problems of scene reconstruction in computer vision. Trifocal Grassmann tensors, related to three projections from a projective space of dimension k onto view spaces of varying dimensions, are studied in this work. A canonical form for the combined projection matrices is obtained. When the centers of projections satisfy a natural generality assumption, such canonical form gives a closed formula for the rank of trifocal Grassmann tensors. The same approach is also applied to the case of two projections, confirming a previous result obtained with different methods in [M. Bertolini, G. Besana, and C. Turrini, Ann. Mat. Pura Appl. (4), 196 (2016), pp. 539-553]. The rank of sequences of tensors converging to tensors associated with degenerate configurations of projection centers is also considered, giving concrete examples of a wide spectrum of phenomena that can happen

Influence of Arbuscular Mycorrhizal Fungi on Growth and Heavy Metal (Cd & Hg) Uptake of Pinto Peanut (Arachis pintoi)

The pollution of the ecosystem by heavy metals is a real threat to the environment because metals cannot be naturally degraded like organic pollutants and persist in the ecosystem having accumulated in different parts of the food chain. Due to the acute toxicity of heavy metal contaminants, an urgent need to develop low-cost, effective, and sustainable methods to remove or detoxify them from the environment. A study to investigate the growth and heavy metal (Cd and Hg) absorption capacity of Arachis pintoi associated with arbuscular mycorrhizal fungi (AMF) was conducted. The heavy metal (Cadmium and Mercury) uptake of A. pintoi inoculated with arbuscular mycorrizal fungi was also determined and compared by quantifying the heavy metal absorbed by the plants through Atomic Spectrophotometry. Randomized Complete Block Design (RCBD) was used as the experimental design with four treatments replicated three times each for Cadmium and mercury were made. The analysis of variance suggests a highly significant difference in the main effect of treatments, the main effect in weeks and their interaction in cadmium and mercury set-up. The results have found out that Treatment 3 (Heavy metal without AMF) in heavy metal cadmium and mercury has the highest heavy metal uptake. The study further recommend that A. pintoi, a widely available and abundant plant species with mycorrhyzal fungi interaction will be a beneficial procedure in reducing heavy metal pollution in soil

Oral and craniofacial manifestations of Ellis-Van Creveld syndrome: A systematic review

Aim A systematic literature review on oral and craniofacial manifestations of Ellis-Van Creveld syndrome was performed. Methods From 2 databases were selected 74 articles using as key words "Ellis-Van Creveld" AND "Oral" OR "Craniofacial" OR "Dental" OR "Malocclusion". Prisma protocol was used to create an eligible list for the screening. Data were collected in a table to compare the clinical aspects found. Results From the first research emerged 350 articles, and only 72 of them were selected. Conclusion Through this analysis oral and cranio-facial manifestations of Ellis-Van Creveld syndrome were pointed out. Management of Ellis-Van Creveld syndrome requires a multidisciplinary approach involving different clinicians; dentists play an important role in early diagnosis and treatment of the patients

NEW SEISMIC SOURCE ZONE MODEL FOR PORTUGAL AND AZORES

The development of seismogenic source models is one of the first steps in seismic hazard assessment. In seismic hazard terminology, seismic source zones (SSZ) are polygons (or volumes) that delineate areas with homogeneous characteristics of seismicity. The importance of using knowledge on geology, seismicity and tectonics in the definition of source zones has been recognized for a long time [1]. However, the definition of SSZ tends to be subjective and controversial. Using SSZ based on broad geology, by spreading the seismicity clusters throughout the areal extent of a zone, provides a way to account for possible long-term non-stationary seismicity behavior [2,3]. This approach effectively increases seismicity rates in regions with no significant historical or instrumental seismicity, while decreasing seismicity rates in regions that display higher rates of seismicity. In contrast, the use of SSZ based on concentrations of seismicity or spatial smoothing results in stationary behavior [4]. In the FP7 Project SHARE (Seismic Hazard Harmonization in Europe), seismic hazard will be assessed with a logic tree approach that allows for three types of branches for seismicity models: a) smoothed seismicity, b) SSZ, c) SSZ and faults. In this context, a large-scale zonation model for use in the smoothed seismicity branch, and a new consensus SSZ model for Portugal and Azores have been developed. The new models were achieved with the participation of regional experts by combining and adapting existing models and incorporating new regional knowledge of the earthquake potential. The main criteria used for delineating the SSZ include distribution of seismicity, broad geological architecture, crustal characteristics (oceanic versus continental, tectonically active versus stable, etc.), historical catalogue completeness, and the characteristics of active or potentially-active faults. This model will be integrated into an Iberian model of SSZ to be used in the Project SHARE seismic hazard assessment

COMPILATION OF ACTIVE FAULT DATA IN PORTUGAL FOR USE IN SEISMIC HAZARD ANALYSIS

To estimate where future earthquakes are likely to occur, it is essential to combine information about past earthquakes with knowledge about the location and seismogenic properties of active faults. For this reason, robust probabilistic seismic hazard analysis (PSHA) integrates seismicity and active fault data. Existing seismic hazard assessments for Portugal rely exclusively on seismicity data and do not incorporate data on active faults. Project SHARE (Seismic Hazard Harmonization in Europe) is an EC-funded initiative (FP7) that aims to evaluate European seismic hazards using an integrated, standardized approach. In the context of SHARE, we are developing a fully-parameterized active fault database for Portugal that incorporates existing compilations, updated according to the most recent publications. The seismogenic source model derived for SHARE will be the first model for Portugal to include fault data and follow an internationally standardized approach. This model can be used to improve both seismic hazard and risk analyses and will be combined with the Spanish database for use in Iberian- and European-scale assessments

MAPPING COVID-19 EPIDEMIC DATA USING FOSS

The recognition of spatial and temporal patterns in the distribution of a pandemic plays a pivotal role in guiding policy approaches to its management, containment and elimination. For this purpose, a database has been built for the COVID-19 pandemic in the Trentino Province, in the eastern Italian alps, near the border between Italy and Austria. The database management system and the WebGIS mapping these data is based on Free and Open Source Software. The Data Base Management System (DBMS) runs on MySQL, available under the GNU General Public License, storing and processing geographic data. A custom procedure has been created to update the dataset, with the capability to import data from suitably formatted spreadsheets by an authenticated administrator. To ensure flexibility and responsiveness on desktop and mobile devices, the WebGIS has been created with a client-side approach, using the Leaflet and Bootstrap JavaScript language libraries, available with Open Source Licenses. These libraries, with additional custom scripts, create the user interface and render geographic data into maps. The exchange of data between the DBMS server and the client is performed using geojson tables. To protect the privacy of the patients, WebGIS users cannot access the source data even though maps and graphs can be downloaded as pictures. Geo-statistical analysis aimed at the detection of spatial and temporal patters is underway

Implementation of a distributed guideline-based decision support model within a patient-guidance framework

We report on new projection engine which was developed in order to implement a distributed guideline-based decision support system (DSS) within the European project MobiGuide.In this model, small portions of the guideline knowledge are projected, i.e. 'downloaded', from a central DSS server to a local DSS in the patient's mobile device, which then applies that knowledge using the mobile device’s local resources. Furthermore, the projection engine generates guideline projections which are adapted to the patient’s previously defined preferences and, implicitly, to the patient’s current context, which is embodied in the projected knowledge. We evaluated this distributed guideline application model for two complex guidelines: one for Gestational Diabetes Mellitus, and one for Atrial Fibrillation. We found that the initial specification of what we refer to as the customized guideline should be in the terms of the distributed DSS, i.e., include two levels: one for the central DSS, and one for the local DSS. In addition, we found significant differences between the customized, distributed versions of the two guidelines, indicating further research directions and possibly additional ways to analyze and characterize guidelines