fundamental solutions
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Sensors ◽  
2022 ◽  
Vol 22 (2) ◽  
pp. 579
Na-Eun Park ◽  
So-Hyun Park ◽  
Ye-Sol Oh ◽  
Jung-Hyun Moon ◽  
Il-Gu Lee

Considering the increasing scale and severity of damage from recent cybersecurity incidents, the need for fundamental solutions to external security threats has increased. Hence, network separation technology has been designed to stop the leakage of information by separating business computing networks from the Internet. However, security accidents have been continuously occurring, owing to the degradation of data transmission latency performance between the networks, decreasing the convenience and usability of the work environment. In a conventional centralized network connection concept, a problem occurs because if either usability or security is strengthened, the other is weakened. In this study, we proposed a distributed authentication mechanism for secure network connectivity (DAM4SNC) technology in a distributed network environment that requires security and latency performance simultaneously to overcome the trade-off limitations of existing technology. By communicating with separated networks based on the authentication between distributed nodes, the inefficiency of conventional centralized network connection solutions is overcome. Moreover, the security is enhanced through periodic authentication of the distributed nodes and differentiation of the certification levels. As a result of the experiment, the relative efficiency of the proposed scheme (REP) was about 420% or more in all cases.

2021 ◽  
Vol 3 (2) ◽  
pp. 75-87
О. Lymar ◽  

The frequency spectrum of plane vibrations of an elastic plate separating a two-layer ideal fluid with a free surface in a rectangular channel is investigated analytically and numerically. For an arbitrary fixing of the contours of a rectangular plate, it is shown that the frequency spectrum of the problem under consideration consists of two sets of frequencies describing the vibrations of the free surface of the liquid and the elastic plate. The equations of coupled vibrations of the plate and the fluid are presented using a system of integro-differential equations with the boundary conditions for fixing the contours of the plate and the condition for the conservation of the volume of the fluid. When solving a boundary value problem for eigenvalues, the shape of the plate deflection is represented by the sum of the fundamental solutions of a homogeneous equation for a loose plate and a partial solution of an inhomogeneous equation by expanding in terms of eigenfunctions of oscillations of an ideal fluid in a rectangular channel. The frequency equation of free compatible vibrations of a plate and a liquid is obtained in the form of a fourth-order determinant. In the case of a clamped plate, its simplification is made and detailed numerical studies of the first and second sets of frequencies from the main mechanical parameters of the system are carried out. A weak interaction of plate vibrations on vibrations of the free surface and vice versa is noted. It is shown that with a decrease in the mass of the plate, the frequencies of the second set increase and take the greatest value for inertialess plates or membranes. A decrease in the frequencies of the second set occurs with an increase in the filling depth of the upper liquid or a decrease in the filling depth of the lower liquid. Taking into account two terms of the series in the frequency equation, approximate formulas for the second set of frequencies are obtained and their efficiency is shown. With an increase in the number of terms in the series of the frequency equation, the previous roots of the first and second sets are refined and new ones appear.

2021 ◽  
Vol 0 (0) ◽  
Bahrom Y. Irgashev

Abstract In the paper, similarity solutions are constructed for a model equation with multiple characteristics of an arbitrary integer order. It is shown that the structure of similarity solutions depends on the mutual simplicity of the orders of derivatives with respect to the variable x and y, respectively. Frequent cases are considered in which they are shown as fundamental solutions of well-known equations, expressed in a linear way through the constructed similarity solutions.

Akbar Zare Shahabadi ◽  
Fatemeh Teymouri

Introduction: As a social phenomenon of the present age, Divorce as one of the social phenomena of the present age has many obvious and hidden factors practical and fundamental solutions have been proposed to reduce and deal with this issue by examining and recognizing these factors in each society. This study was carried out to identify the social factors related to the demand for divorce in Yazd. Methods: The present study was conducted by survey technique. The statistical population included the couples seeking divorce referred to the judiciary of Yazd in the period of 2011-2017, the sample size of 110 people was selected by random sampling method based on Cochran's formula, a researcher-made questionnaire was used as the measurement tool whose validity was measured by Formal validity and reliability by Cronbach's alpha. Results: According to the findings, the respondents believed that the three variables of domestic violence, interference of others and the level of spouses' participation in household work had great roles in the demand for divorce. There is also a significant relationship between age and gender, and variables of domestic violence, spouse's family interference and spouse's participation in household. 18.9% of the variance of the dependent variable (Divorce) is explained by the variables of gender, education, family past. Conclusion: It is necessary to provide life skills training and free counseling to couples and families in this regard in order to prevent failed marriages and marital problems and develop strong relationships. Besides, it is necessary for the mass media to raise awareness, give information to people, and promote rational, spiritual and easy marriages.

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