Connection Coefficients Research Articles

Altered effective connectivity in migraine patients during emotional stimuli: a multi-frequency magnetoencephalography study

BackgroundMigraine is a common and disabling primary headache, which is associated with a wide range of psychiatric comorbidities. However, the mechanisms of emotion processing in migraine are not fully understood yet. The present study aimed to investigate the neural network during neutral, positive, and negative emotional stimuli in the migraine patients.MethodsA total of 24 migraine patients and 24 age- and sex-matching healthy controls were enrolled in this study. Neuromagnetic brain activity was recorded using a whole-head magnetoencephalography (MEG) system upon exposure to human facial expression stimuli. MEG data were analyzed in multi-frequency ranges from 1 to 100 Hz.ResultsThe migraine patients exhibited a significant enhancement in the effective connectivity from the prefrontal lobe to the temporal cortex during the negative emotional stimuli in the gamma frequency (30–90 Hz). Graph theory analysis revealed that the migraine patients had an increased degree and clustering coefficient of connectivity in the delta frequency range (1–4 Hz) upon exposure to positive emotional stimuli and an increased degree of connectivity in the delta frequency range (1–4 Hz) upon exposure to negative emotional stimuli. Clinical correlation analysis showed that the history, attack frequency, duration, and neuropsychological scales of the migraine patients had a negative correlation with the network parameters in certain frequency ranges.ConclusionsThe results suggested that the individuals with migraine showed deviant effective connectivity in viewing the human facial expressions in multi-frequencies. The prefrontal-temporal pathway might be related to the altered negative emotional modulation in migraine. These findings suggested that migraine might be characterized by more universal altered cerebral processing of negative stimuli. Since the significant result in this study was frequency-specific, more independent replicative studies are needed to confirm these results, and to elucidate the neurocircuitry underlying the association between migraine and emotional conditions.

Thermal performance of balcony thermal bridge solutions in reinforced concrete and steel frame structures

Thermal bridges in balconies considerably affect the overall thermal transmittance of building envelopes and are the main cause of building defects such as condensation, mold formation, and degradation of materials. The aim of this study is to conduct an evaluation of the impact of two thermal bridge solutions in common balcony connection details of residential buildings in Tehran, Iran. Through three-dimensional simulation, 33 scenarios of various balcony connection details, as well as adjacent wall assemblies are examined with and without thermal bridge solutions to evaluate the impact of these solutions on the thermal coupling coefficient of balcony connection, balcony linear thermal transmittance, and temperature factor at the internal surface. The simulation process is conducted using the heat transfer module of the three-dimensional simulation program COMSOL 5.2.an under steady-state conditions. The results demonstrate that concrete-concrete connections compared to steel-steel and concrete-steel connections are influenced more by thermal bridge solutions. Considering all scenarios, implementation of these solutions leads up to 44.5% and 75% reduction in thermal coupling coefficient and linear thermal transmittance respectively, depending on the wall and floor materials. Results obtained by examining a case study with different balcony and window options also highlight the importance of applying a thermally insulation balcony connector which reduces the normalized total heat transfer coefficient of building façade up to 12.2%. The findings of this study highlight the effectiveness of different technical solutions for reducing balcony thermal bridges in both steel and concrete structure balcony connections. Also, applying the balcony thermal bridge solutions evaluated in this research can remove the limitations against the insulation method of “very low energy” buildings based on the Code. No. 19 of Iran.

Russian Text Author’s Gender Identification in Forensic Examination: Probability-and-Statistics Method

The article discusses intermediate research results in the development and improvement of a computerized model of Russian texts authorization, which is based on complex application of probabilistic-and-statistical methods. The study aims to describe the new capabilities of the created system in the aspect of its application to diagnostic examinations in text authorization for detection of the gender of the alleged author of the text. The work presents the next stage of fine-tuning and testing of the improved version of the computer program "CTA" (computerized text authorization), which at this stage was adapted for the task of determining and comparing stable relative frequencies of correlation coefficients (the ratio of specified linguistic phenomena of different levels of the language system) in the texts, the authors of which are men and women. The research material is the continuously updated primary bases of literary texts of the 19 th and 21 st centuries (4 bases, respectively). The work shows that for the texts written by men and women, significant differences can be noted in such correlation coefficients as average word length, average sentence length, objectivity coefficient, quality coefficient, activity coefficient, dynamism coefficient, connectivity coefficient, etc. Verification of the results obtained experimentally has demonstrated that the accuracy of gender determining at this stage of the study is approximately 65%. This indicator can be significantly exceeded with an increase in the volume and quality specification of databases and/or when using new models for calculating the correlation coefficients (Spearman's model, etc.).

Alteration of segregation of brain systems in the severe depressive disorder after electroconvulsive therapy

• The investigation assessed the changes in FNC of internetwork low-level cognitive networks associated with ECT response in SDD, and further analyzed the relation between advanced cognitive networks and low-level cognitive network. • ECT was able to improve abnormal interactions between frontal-parietal network (FPN) and other function systems in participants with SDD. • Compared with the healthy people after ECT, the connection between the advanced cognitive network and low-level cognitive network were changed, as well as that among low-level cognitive networks. • Functional connectivity of within DMN and FPN systems were strengthened in after-ECT SDD compared to before-ECT SDD. Severe depressive disorder (SDD) has been characterized by abnormal brain activity and interactions across the whole-brain functional networks. Electroconvulsive therapy (ECT) has been considered as an effective and rapid treatment for SDD. However, whether ECT may enhance the dysconnectivity between brain networks to achieve antidepressant effects is still largely unknown. Resting-state functional magnetic resonance imaging was acquired from 25 SDD participants (9M/16F, age: 34.32±9.69) before and after ECT treatments (9M/16F, age: 34.32±9.69), along with 25 sex-and age-matched healthy controls (9M/16F, age: 24.72±8.16). Then, large-scale functional brain network of each participant was constructed and divided into ten functional systems. Finally, the topology properties across ten systems, including with- and between-system connectivity, system-segregation and participation coefficient, were assessed and analyzed between SDD patients and controls. Our results showed ECT can enhance the reduced functional connectivity (FC) of default model network (DMN) and frontal-parietal network (FPN) in SDD patients. In particular, after ECT, not only the FC within DMN and FPN was strengthened, but also the FC between DMN/FPN with subcortical network (SUB) and visual network was significantly increased. These above connectives of DMN and FPN were significantly reduced in before-ECT SDD compared to healthy controls and were closely related to clinical scores of depression. Our findings indicated the enhanced interactions in with- and between-systems of DMN and FPN may contributed to the ECT response in SDD patients. And These findings provide novel and important insights into the neurobiological mechanisms underlying depression, even ECT.

Evaluation method of regional water resources carrying capacity based on semipartial connection number and dynamic subtraction set pair potential

为准确和客观地评价区域水资源承载力，从水资源承载力评价样本与评价等级标准这一集对的复杂系统结构角度，应用集对分析半偏联系数和减法集对势方法，构造了定量反映和刻画集对联系数系统结构中联系数分量间微观运动的迁移率矩阵，提出了一种联系数分量值的修正方法，同时基于减法集对势和三角模糊数方法动态确定了差异度系数，构建了区域水资源承载力定量评价方法. 该方法在安徽省淮北市的应用结果表明：2011—2019年水资源承载力介于2~3级之间，承载力较差，系统态势总体上由偏反势向均势过渡，逐渐向好发展；在判别系统态势发展方面，基于普通减法集对势的联系数值由2011年的-0.279变化到2018年的-0.037，再到2019年的-0.218，基于半偏减法集对势的联系数值由2011年的-0.267变化到2018年的-0.035，再到2019年的的-0.207，说明两种方法均适用，但在确定评价等级值方面，评价效果后者更优，相对误差在1 % 以内，这与半偏减法集对势的物理解释意义更为深刻有关. 联系数系统结构中联系数分量间的微观运动结果表明，原联系数中最大分量的值会减小，其他两个分量的变化情况与该分量本身的大小、半偏联系数表示的增量与原联系分量的比例、被迁移的原联系分量的大小有关. 基于半偏联系数和动态减法集对势法可实现联系数的修正更新和差异度系数的动态确定，方法物理解释性强、评价结果准确可靠，为从系统结构成因机理角度准确判别水资源复杂系统所处状态及总体发展趋势提供了新的有效途径.;In order to accurately and objectively evaluate the level of regional water resources carrying capacity (WRCC), from the perspective of WRCC evaluation samples and evaluation level standards, set pair analysis semipartial connection number (SCN) and subtraction set pair potential (SSP) method were applied in this study. A mobility matrix which quantitatively reflects and describes the micro movement between the connection number components (CNCs) in the connection number system structure was constructed, along with a correction method on CNC values. Meanwhile, the difference coefficient was dynamically determined based on SSP and triangular fuzzy number method, and the quantitative evaluation method of regional WRCC was constructed. The application of this method in Huaibei City, Anhui Province showed that WRCC in 2011-2019 was between level 2-3, and the carrying capacity was relatively poor. The overall system situation transited from partial inverse potential to equilibrium potential, and gradually developed for the better. In judging the development of system situation, the connection number value based on SSP changed from -0.279 in 2011 to -0.037 in 2018 and then to -0.218 in 2019, and connection number value based on SSP changed from -0.267 in 2011 to -0.035 in 2018 and then to -0.207 in 2019. Results indicated that both methods were applicable, with the latter one better in determining the evaluation grade value and relative error < 1 %, which was related to the more profound physical interpretation of the semipartial SSP. The micro motion results between the CNCs in the structure of the connection number system showed that the value of the largest component in the original connection coefficient will decrease, and the changes of the other two components are related to the size of the component itself, the proportion of the increment represented by the SCN to the original CNCs, and the size of the migrated original CNCs. Based on the SCN and dynamic SSP method, the correction and updating of connection number and the dynamic determination of difference coefficient can be realized. The method has strong physical interpretation and accurate and reliable evaluation results, which provides a new and effective way to accurately distinguish the state and overall development trend of complex water resources system from the perspective of system structure and genetic mechanism.

Application of the discrete classical case to a 1−2 type relation

In this paper, we present a simple approach in order to build up recursively the connection coefficients between a sequence of polynomials {Q n } n≥0 and an orthogonal polynomials sequence {P n } n≥0 when P n (x) = Q n (x) +r n Q n −1 (x), n≥0. This yields the relation between the parameters of the corresponding recurrence relations. Some special cases are developed. More specifically, assuming that {P n } n≥0 is a discrete classical orthogonal polynomials sequence.

Подходы к определению коэффициента геометрии сетевых организационных структур

The article analyzes the methods of determining the geometry coefficient in network organizational structures and offers its own ways of calculating it. The geometry coefficient is presented as an integral indicator which consolidates the coefficients of filling orbits, connectivity and criticality of connections. The orbit filling coefficient characterizes the organizational network through the reserve production capacities realized by the enterprises of the organizational network in the free market. The connectivity coefficient characterizes excess mileage, transport load, fuel consumption and the remoteness of organizational network elements from the integrator. The coefficient of criticality of connections characterizes the organizational network through availability of subsuppliers in the elements belonging to the first from the integrator orbit of the network structure. The developed methodology for determining the organizational network geometry coefficient makes it possible to evaluate the work of the network from the side of geometric indicators. The existing methods of determining the coefficient in network organizational structures are also analyzed. The disadvantages and features of calculating the geometric characteristics of organizational networks are revealed. The author’s methods for determining the indicators included in the coefficient of the geometry of network structures are proposed. The geometry coefficient is presented as an integral indicator that consolidates the filling coefficients of orbits, connectivity and criticality of connections. The orbit filling coefficient characterizes the organizational network through the reserve production capacities realized by the enterprises of the organizational network in the free market. The greater the volume of reserve production capacities possessed by enterprises of the first orbit integrator, the greater the filling of the organizational network as a whole. The connectivity coefficient characterizes excess mileage, transport load, fuel consumption and the remoteness of organizational network elements from the integrator. The coefficient of criticality of connections characterizes the organizational network through availability of subsuppliers in the elements belonging to the first from the integrator orbit of the network structure. The developed methodology for determining the organizational network geometry coefficient allows us to evaluate the work of the network from the geometric haracteristics side. The methodology can be applied when forming a network organizational structure and quantifying its elements.

General covariant symmetric teleparallel cosmology

Symmetric teleparallel gravity theories, in which the gravitational interaction is attributed to the nonmetricity of a flat, symmetric, but not metric-compatible affine connection, have been a topic of growing interest in recent studies. Numerous works study the cosmology of symmetric teleparallel gravity assuming a flat Friedmann-Lema\^itre-Robertson-Walker metric, while working in the so-called "coincident gauge", further assuming that the connection coefficients vanish. However, little attention has been paid to the fact that both of these assumptions rely on the freedom to choose a particular coordinate system in order to simplify the metric or the connection, and that they may, in general, not be achieved simultaneously. Here we construct the most general symmetric teleparallel geometry obeying the conditions of homogeneity and isotropy, without making any assumptions on the properties of the coordinates, and present our results in both the usual cosmological coordinates and in the coincident gauge. We find that in general these coordinates do not agree, and that assuming both to hold simultaneously allows only for a very restricted class of geometries. For the general case, we derive the energy-momentum-hypermomentum conservation relations and the cosmological dynamics of selected symmetric teleparallel gravity theories. Our results show that the symmetric teleparallel connection in general contributes another scalar quantity into the cosmological dynamics, which decouples only for a specific class of theories from the dynamics of the metric, and only if the most simple geometry is chosen, in which both assumed coordinate systems agree. Most notably, the $f(Q)$ class of theories falls into this class.

An improved method of recovery factor estimation for low-permeability carbonate reservoirs

At present, there are limited empirical formulas for recovery factor estimation of carbonate reservoirs in the early stage of development. An improved recovery factor estimation method is established in this paper combining with displacement efficiency, sweep coefficient, well pattern coefficient, utilization factor, and reservoir connectivity coefficient. Among them, the utilization factor and connectivity coefficient is firstly proposed and established by derivation and reservoir simulation considering the characteristics of low-permeability carbonate reservoirs. The method is applied to M oilfield, and the estimation results are compared with other empirical formulas and field development calibration results, which shows good estimation accuracy.

Connection Problem for the Generalized Hypergeometric Function

We solve connection problem between fundamental solutions at singular points $0$ and $1$ for the generalized hypergeometric function, using analytic continuation of the integral representation. All connection coefficients are products of the sine and the cosecant.

Experimental study on seismic performance of prefabricated column-column connection with prestressed steel strands

In order to achieve totally assembled connection for steel tube columns in construction site, a prefabricated column-column connection with prestressed steel strands was proposed in this paper. In order to investigate a suitable mode of strand arrangement and the seismic performance of this connection, low-cycle reciprocating quasi-static tests were carried out for a connection with full-length steel strands and a connection with segmented steel strands. The results showed that the deformations and damage modes of the two connections were similar, and the hysteretic curves of the two connections have the same trend. Compared with the connection using full-length strands, the ultimate bearing capacity of the connection using segmented strands was increased by 11.65% in the positive direction and 4.93% in the negative direction. Therefore, the method to connect the segmented steel strands by using connectors, which is more suitable in construction site, is superior to full-length method. In addition, the steel strands of the two connections have good redundancy with the maximum axial force of 0.78 Ty (Ty is the yield axial force of the steel strands), and the connections can guarantee the desired seismic resistance. Moreover, a two-stage design method of elastic design and ultimate bearing capacity design of this column-column connection was also established in this paper. By using the ABAQUS software, the seismic properties of connections with different pretensions were simulated. The results indicated that the increase of pretension can improve the bearing capacity, initial stiffness and the equivalent stiffness degradation coefficient of this column-column connection.

Topical Agenda for the Study of Values in Foreign Sociology: Topics, Theories, Methodologies

Research on values is important both for the development of sociology and for. practices of social management, they provide the necessary basis for effective public policy.The purpose of this article was to analyze the current agenda for the study of values by building theoretical and methodological thematic clusters. An optional task was to describe the thematic thesaurus used by the authors of the articles on values. The hypothesis was tested that the theory of social status in relation to economic topics received the greatest recognition in the current agenda. The study was carried out in a quantitative design, the method of content analysis was used, followed by the calculation of the c-correlation coefficient between the three semantic components of the study: topic, theory, methodology. The empirical material was the abstracts of 132 articles published in 21 sociological journals, included in the 1 quartile of Scopus in 2016–2020. Articles were selected according to the author’s search method. The limitations of the study are the 5-year time period, the language of the article (English), the use of only abstract texts for analysis, and not the articles themselves, the author’s method of building clusters (it is possible to build clusters on other grounds).Results. The main hypothesis was confirmed. The strongest connection was recorded between the theory of social status and economic topics (c-correlation coefficient — 0.62). The smallest connection was found between family values and theories about values as ideal representations (0.21). At the same time, the coefficient of connection between theories and research topics is, on average, lower than that of methodologies and topics. Qualitative methodology is mentioned by authors of articles on values a little more often than quantitative one. (114 qualitative versus 103 quantitative). In the thematic thesaurus, the greatest diversity is recorded in the research area “Labor and Economics”, the least — in the areas “Family” and “Education”. Despite the fact that the group of articles dealing with values in the sphere of politics is the second largest in the sample with 87 articles (66%), only 15 frequently used terms were included in its thematic thesaurus. In the area of “Labor and Economics”, 65 significant terms were identified; in total, materials of 111 articles (84%) were attributed to this area.The directions of further researchare related to the study of the isomorphism of the agenda for the study of values in international and Russian sociology, as well as the analysis of substantive discrepancies in the study of values in the same sphere of life between Russian and foreign sociologists.

Disrupted hypothalamic functional connectivity related to cognitive impairment after diffuse axonal injury

This study aims to investigate whether there is imaging evidence of disrupted hypothalamic functional connectivity (FC) in patients with diffuse axonal injury (DAI) and relationships with cognitive impairment.Resting-state functional magnetic resonance imaging (fMRI) data were acquired from acute patients with diagnosed DAI (n = 30) and healthy controls (HC) (n = 30). We first assessed hypothalamic FC with seed-based analysis. Furthermore, the lateral and medial hypothalamic seed was selected to show distinct functional connectivity in DAI. In addition, partial correlation was used to measure the clinical associations with the altered hypothalamic FC in DAI patients.Compared with HC, DAI group showed significantly increased hypothalamic FC with superior temporal gyrus, and the regions around the operculum. Furthermore, there was a significant negative correlation between the connectivity coefficient of hypothalamus to right and left superior temporal gyrus and the disability rating scale scores in DAI group. When the seed regions were divided into lateral and medial hypothalamus, except for increased connectivity of medial hypothalamus (P < .01 with correction), we more observed that decreased left lateral hypothalamic connectivity was positively correlated with mini-mental state examination (MMSE) scores.Our results suggest that there are alterations of hypothalamic FC in DAI and offer further understanding of clinical symptoms including related cognitive impairment.

Exploring inclusiveness towards immigrants as related to basic values: A network approach.

Using the 9th round of European Social Survey (ESS), we explored the relationship between Europeans’ basic values and their attitudes towards immigrants. Employing a latent class analysis (LCA), we classified the respondents based on three items capturing the extent to which participants would support allowing three groups of immigrants to enter and live in their countries: immigrants of same ethnic groups, immigrants of different ethnic groups, and immigrants from poorer countries outside Europe. Four classes of Europeans with mutually exclusive response patterns with respect to their inclusive attitudes towards immigrants were found. The classes were named Inclusive (highly inclusive), Some (selective), Few (highly selective), and Exclusive (highly exclusive). Next, using a network technique, a partial correlation network of 10 basic human values was estimated for each class of participants. The four networks were compared to each other based on three network properties namely: global connectivity, community detection, and assortativity coefficient. The global connectivity (the overall level of interconnections) between the 10 basic values was found to be mostly invariant across the four networks. However, results of the community detection analysis revealed a more complex value structure among the most inclusive class of Europeans. Further, according to the assortativity analysis, as expected, for the most inclusive Europeans, values with similar motivational backgrounds were found to be interconnected most strongly to one another. We further discussed the theoretical and practical implications of our findings.

Finding Central Vertices and Community Structure via Extended Density Peaks-Based Clustering

Community detection is a significant research field of social networks, and modularity is a common method to measure the division of communities in social networks. Many classical algorithms obtain community partition by improving the modularity of the whole network. However, there is still a challenge in community division, which is that the traditional modularity optimization is difficult to avoid resolution limits. To a certain extent, the simple pursuit of improving modularity will cause the division to deviate from the real community structure. To overcome these defects, with the help of clustering ideas, we proposed a method to filter community centers by the relative connection coefficient between vertices, and we analyzed the community structure accordingly. We discuss how to define the relative connection coefficient between vertices, how to select the community centers, and how to divide the remaining vertices. Experiments on both real and synthetic networks demonstrated that our algorithm is effective compared with the state-of-the-art methods.

Hydraulic optimization of the physical parameters of a drinking water distribution system

Drinking-water distribution systems are generally designed with methodologies based on trial-and-error tests, which generate feasible results. However, these trials are not the most economical and reliable solution since they do not consider the optimization of the network. For the present work, the hydraulic model of the drinking water distribution network of San José de Cúcuta, Colombia, was optimized by applying the concept of resilience rate and minimum cost. The development of the work consisted of the hydraulic modeling of the physical components of the network in EPANET software, as well as the application of calculations of the connectivity coefficient and the unitary power of each section. With the data obtained from the modeling and calculations, the physical parameters were optimized, and the cost-benefit ratio was estimated. It was found that the current drinking water distribution system does not have a power surplus to overcome a system failure. The optimization increased the total energy surplus of the network (261%) and the resilience rate (585%). Also, the connectivity coefficient was improved with an average value of 0.95. The hydraulic optimization methodology applied resulted in a network resilient to system failures.

Bell Polynomials and Nonlinear Inverse Relations

By means of the Lagrange expansion formula, we establish a general pair of nonlinear inverse series relations, which are expressed via partial Bell polynomials with the connection coefficients involve an arbitrary formal power series. As applications, two examples are presented with one of them recovering the difficult theorems discovered recently by Birmajer, Gil and Weiner (2012 and 2019).

Evolution of Cryptocurrency: Changes in the Use and Consumer Demand for Digital Transactions

Abstract: The quick advancement of cryptographic forms of money has caused to notice this specific market, with financial backers attempting to comprehend its conduct and analysts attempting to clarify it. The development of digital currencies' costs showed a sort of air pocket and an accident toward the finish of 2017. In view of this occasion, and on the way that Bitcoin is the most perceived digital currency, we propose to assess the infection impact among Bitcoin and other significant cryptographic forms of money. Utilizing the Detrended Cross-Correlation Analysis connection coefficient and looking at the period after and before the accident, we discovered proof of an infection impact, with this specific market being more incorporated now than in the past something that ought to be considered by current and likely financial backers. Cryptocurrency like Bitcoin have developed from being related only with geeks and revolutionaries to being considered by national banks as an innovation to carry out advanced cash. Digital forms of money exist just in computerized shape and can be moved totally between advanced addresses. This is both not normal for traditional electronic cash as perceived by laypersons which goes about as an obligation guarantee on a store with a confided in monetary foundation, for example, a private bank and dissimilar to ordinary bodily cash which might be truly moved by. This implies that any lawful rights related with holding digital forms of money should be diverse in spite of it being staying not entirely clear. In this , we take a gander at the different medicines of cash in the lawful detect and talk about the dangers related with each by drawing on genuine models. We presume that extortion through hacking might actually represent an issue to broad reception of cryptographic forms of money as the shortfall of plan of action against an outsider, for example, a bank amasses hazard in holders of digital currencies. Clients should hence practice alert and comprehend the dangers prior to putting resources into digital currencies. This admonition requires accentuation as many gatherings misunderstand the cryptography inside the innovation as shielding them from such misrepresentation when truth be told it does nothing of the sort. Keywords: Cryptocurrency, Cryptography, Digital Currencies, Bitcoin, Blockchain.

Classification of Attention Deficit Hyperactivity Disorder using Variational Autoencoder

Attention Deficit Hyperactivity Disorder (ADHD) categorize as one of the typical neurodevelopmental and mental disorders. Over the years, researchers have identified ADHD as a complicated disorder since it is not directly tested with a standard medical test such as a blood or urine test on the early-stage diagnosis. Apart from the physical symptoms of ADHD, clinical data of ADHD patients show that most of them have learning problems. Therefore, functional Magnetic Resonance Imaging (fMRI) is considered the most suitable method to determine functional activity in the brain region to understand brain disorders of ADHD. One of the ways to diagnose ADHD is by using deep learning techniques, which can increase the accuracy of predicting ADHD using the fMRI dataset. Past attempts of classifying ADHD based on functional connectivity coefficient using the Deep Neural Network (DNN) result in 95% accuracy. As Variational Autoencoder (VAE) is the most popular in extracting high-level data, this model is applied in this study. This study aims to enhance the performance of VAE to increase the accuracy in classifying ADHD using fMRI data based on functional connectivity analysis. The preprocessed fMRI dataset is used for decomposition to find the region of interest (ROI), followed by Independent Component Analysis (ICA) that calculates the correlation between brain regions and creates functional connectivity matrices for each subject. As a result, the VAE model achieved an accuracy of 75% on classifying ADHD.

Peculiarities of formulation and solving the dynamic problems of thermoelasticity

The problem of propagation of spherical waves in a thermoelastic medium is considered. Two approaches to taking into account the mutual influence of dynamic fields of deformations and temperature are compared. A generalized model of coupled thermoelasticity is used for calculation in the first approach and the second one is based on the ratio of the theory of thermal stresses, which are neglecting the change of temperature distribution under mechanical loads action. The amplitude-frequency characteristics of radial displacements and normal tangential stresses at the boundary of a spherical cavity being under action of load, which changes according to the harmonic law in time, are obtained. The correspondence between the value of the coupling parameter and the results error caused by the use of the simplified model of field interaction is traced. Wave processes in solids of modern polymeric materials, such as polyvinyl butyral and polyvinyl butyralfurfural belonging to the family of polyvinyl acetals, which have a fairly high coefficient of field connectivity of 0.18 and 0.41, respectively, are considered. It is shown that the use of a simplified model of coupled thermoelasticity for the calculation of structure of such materials leads to unacceptably large differences in the results. Thus, the maximum values of the stress-strained state parameters obtained using the generalized model were 18% higher than in the case of the application of the theory of temperature stresses for polyvinyl butyral. The results difference obtained using this two approaches at some frequencies exceeded 30% for the polyvinyl butyralfurfural medium. It is concluded that the simplified model of the interaction of deformation and temperature fields can be a rough approximation in the analysis of the dynamic reaction of massive structural elements made of such materials.