Exponential synchronization control of delayed memristive neural network based on canonical Bessel-Legendre inequality

<abstract><p>In this paper, we study the exponential synchronization problem of a class of delayed memristive neural networks(MNNs). Firstly, a intermittent control scheme is designed to solve the parameter mismatch problem of MNNs. A discontinuous controller with two tunable scalars is designed, and the upper limit of control gain can be adjusted flexibly. Secondly, an augmented Lyaponov-Krasovskii functional(LKF) is proposed, and vector information of N-order canonical Bessel-Legendre(B-L) inequalities is introduced. LKF method is used to obtain the stability criterion to ensure exponential synchronization of the system. The conservatism of the result decreases with the increase of the order of the B-L inequality. Finally, the effectiveness of the main results is verified by two simulation examples.</p></abstract>

A towed magnetic gradiometer array for rapid, detailed imaging of utility, geological, and archaeological targets

Efficient and accurate acquisition of magnetic field and gradient data have applications over a large range of environmental, archaeological, engineering, and geologic investigations. Developments in new systems and improvements in existing platforms have progressed to the point where magnetic surveying is a heavily used and trusted technique. However, there is still ample room to improve accuracy and coverage efficiency and to include reliable vector information. We have developed a vector magnetic gradiometer array capable of recording high-resolution field and gradient data over tens of hectares per day at 50 cm sensor spacing. Towed by an all-terrain vehicle, the system consists of eight vertical gradiometer sensor packages and incorporates differential GPS and an inertial measurement system. With a noise floor of around 6 nT at 15 km/h towing speed and 230 Hz sample rates, large areas can be mapped efficiently and precisely. Data are processed using a straightforward workflow, using both standard and newly developed methodologies. The system described here has been used successfully in Denmark to efficiently map buried structures and objects. We give two examples from such applications highlighting the system's capabilities in archaeological and geological applications.

Computer technology for interpreting vector measurements of the magnetic field

Computer technology is presented to solve the inverse problem of magnetic field vector measurements using software and algorithmic support for an automated system to interpret potential fields. The technology includes constructing a numerical model of the magnetic field of the studied area, forming an initial approximation model, assessing the depth of the sources and their magnetization. An approximation structure is used to describe the sources of anomalies (a set of uniformly magnetized polygonal prisms). To solve the problem, we used real vector measurements of the magnetic field by the components Xа, Ya, Zа, Та in the sections of Gruzsko South and Gruzsko Severnaya. Geologically, the area belongs to the central part of the Ukrainian Shield — the Kirovograd tectonic megablock. The area of work is confined to the Subotsko-Moshorin latitudinal fault zone. The possibility of comparing the results of the interpretation of anomalies on each profile by the components of the anomalous magnetic field increases the reliability of the geological interpretation of magnetic prospecting data compared to the interpretation of modular surveys. The presence of vector measurements greatly facilitates the ability to determine the parameters of anomalous objects, which makes it possible to obtain more reliable solutions to the inverse problem. The use of vector information makes it possible to localize geological sources more successfully, thereby reducing the amount of work.

Aspect-level sentiment analysis for based on joint aspect and position hierarchy attention mechanism network

The purpose of aspect-level sentiment analysis is to identify the contextual sentence expressions given by sentiment for some aspects. For previous works, many scholars have proved the importance of the interaction between aspects and contexts. However, most existing methods ignore or do not specifically capture the position information of the aspect targets in the sentence. Thus, we propose an aspect-level sentiment analysis based on joint aspect and position hierarchy attention mechanism network. At the same time, the model adopts a joint approach to make the model of the aspect features and the position features. On the one hand, this method clearly captures the interaction between aspect words and context when inputting word vector information. On the other hand, this method can enhance the importance of position information in the sentence and boost the information retrieval ability of the model. Additionally, the model utilizes a hierarchical attention mechanism to extract feature information and to differentiate sentiment towards, which is similar to filtering useless information again. Experiment on the SemEval 2014 dataset represent that our model achieves better performance on aspect-level sentiment classification.

Clothoid fitting and geometric Hermite subdivision

We consider geometric Hermite subdivision for planar curves, i.e., iteratively refining an input polygon with additional tangent or normal vector information sitting in the vertices. The building block for the (nonlinear) subdivision schemes we propose is based on clothoidal averaging, i.e., averaging w.r.t. locally interpolating clothoids, which are curves of linear curvature. To this end, we derive a new strategy to approximate Hermite interpolating clothoids. We employ the proposed approach to define the geometric Hermite analogues of the well-known Lane-Riesenfeld and four-point schemes. We present numerical results produced by the proposed schemes and discuss their features.

A towed magnetic gradiometer array for rapid, detailed imaging of utility, geological, and archaeological targets

Efficient and accurate acquisition of magnetic field and gradient data have applications over a large range of environmental, archaeological, engineering, and geologic investigations. Developments in new systems and improvements in existing platforms have progressed to the point where magnetic surveying is a heavily used and trusted technique. However, there is still ample room to improve accuracy, coverage efficiency, and to include reliable vector information. We have developed a vector magnetic gradiometer array capable of recording high resolution field and gradient data over tens of hectares per day at 50 cm sensor spacing. Towed by an all-terrain vehicle, the system consists of 8 vertical gradiometer sensor packages, and incorporates differential GPS and an inertial measurement system. With a noise floor of around 6 nT at 15 km/h towing speed and 230 Hz sample rates, large areas can be mapped efficiently and precisely. Data are processed using a straightforward workflow, using both standard and newly developed methodologies. The system described here has been used successfully in Denmark to efficiently map buried structures and objects. We give two examples from such applications highlighting the system’s capabilities in archaeological and geological applications.

Organization of the educational process of physical education during quarantine: problems and prospects

The article substantiates the organization of the educational process of physical education of students of higher education institutions in the conditions of quarantine restrictions. The need for urgent adaptation of the process of physical education to the new challenges that accompany the "quarantine" training, requires solving the problems of pedagogical, methodological and organizational content of the educational process of higher education. The purpose of the study is to identify the main aspects of the organization of the educational process of physical education of students by means of remote technologies. The research is based on the use of a set of general scientific theoretical methods: analysis, synthesis, systematization, generalization. The views of researchers on this issue, set out in the latest scientific literature. The didactic potential of distance learning technologies in the formation of information educational environment of physical education of students is determined. It is established that the transition from traditionally used to multidimensional distance learning expands the use of vector information technology, opens new prospects for the development of physical education of students in higher education. The factors of organization of the educational process in the conditions of distance learning are singled out and ranked. The influence of the latter is multi-vector, which necessitates timely detection and prompt response to them to avoid them if possible. Among the advantages of organizing the educational process of physical education of students by means of distance technologies: the possibility of using leading educational technologies; increasing the efficiency of the educational process by intensifying the process of cognition and interpersonal interactive communication; development of a conscious and motivated approach to classes; the possibility of diversifying the educational process; increasing the efficiency of students' independent work; realization of the educational function of physical culture; development of the need for self-education through the mobility of knowledge and ideas; expanding and updating the role of the teacher, who must coordinate the process of physical development and improvement of students. It is proved that the introduction of new pedagogical technologies of distance learning will change the paradigm of physical education and creates the conditions for the most effective implementation of the opportunities inherent in such forms of physical education.

Generation of socio-environmental indicators in the territorial structure of San Luis Huexotla, Texcoco, México

Objective: This article aims to show the statistical density of the population per block, toknow its effect as a critical spatial result and its relationship with some socio-environmental indicators, this analysis-process incorporates statistical data andgeographic information systems as a model for territorial spatial analysis, which showsthe relationship between demand and generation of services.Design / Methodology / Approach: The Urban Basic Geostatistical Units data of INEGI(the Spanish acronym of the National Geostatistical Information Institute in Mexico) wasused on block-level as: number of inhabitants and number of dwellings. It wasassociated with variables identified by exploring those key stakeholders at the locality(Delegates, and the Council for Citizenship Participation (in Spanish, COPACI), as wellas the Huexotla Ejido Commissariat, their clergy representative and some other keyinformants. In addition, GIS were used to digitize vector information and to integrate arelational database for the geospatial analysis of the variables, data and indicators inorder to obtain zoning maps.Results: This study presents a proposal for the generation of socio-environmentalindicators that can be used in territorial analysis with urban and rural applications usingGeographic Information Systems as a tool.Study limitations: Transition processes converge in geographic transformation and,consequently have effects on landscape changes; demand for public services; and solidwaste generation.Findings / Conclusions: The size of the scale used for the locality analysis contributesto determine the territorial planning of a geographical space. Thus, results obtaineddeliver information for planning in the decision-making processes at localities in rural tourban transitional zones.