Search results for: discrete inequality

Authors: Liya Kalinnikova Magnusson

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The present and ongoing research investigation are focusing on special educational origins in Moldova for children with disabilities and its development towards inclusion. The research is coordinated with related research on inclusion in Ukraine and other countries. The research interest in these issues in Moldova is caused by several reasons. The first one is based upon one of the intensive processes of deconstruction of special education institutions in Moldova since 1989. A large number of children with disabilities have been dropping out of these institutions: from 11400 students in 1989 to 5800 students in 1996, corresponding to 1% of all school-age Moldovan learners. Despite the fact that a huge number of students was integrated into regular schools and the dynamics of this data across the country was uneven (the opposite, the dynamics of exclusion was raised in Trans-Dniester on the border of Moldova), the volume of the change was evident and traditional special educational provision was under stable decline. The second reason is tied to transitional challenges, which Moldova met under the force to economic liberalisation that led the country to poverty. Deinstitutionalization of the entire state system took place in the situation of economic polarization of the society. The level of social benefits was dramatically diminished, increasing inequality. The most vulnerable from the comprehensive income consideration were families with many children, children with disabilities, children with health problems, etc.: each third child belonged to the poorest population. In 2000-2001: 87,4% of all families with children had incomes below the minimum wage. The research question raised based upon these considerations has been addressed to the investigation of particular patterns of the origins of special education and its development towards inclusion in Moldova from 1980 until the present date: what is the pattern of special education origins and what are particular arrangements of special education development towards inclusion against inequality? This is a qualitative study, with relevant peer review resources connected to the research question and national documents of educational reforms towards inclusion retrospectively and contemporary, analysed by a content analysis approach. This study utilises long term statistics completed by the respective international agencies as a result of regular monitoring of the implementation of educational reforms. The main findings were composed in three big themes: adoption of the Soviet pattern of special education, ‘endemic stress’ of breaking the pattern, and ‘paradoxes of resolution’.

Keywords: special education, statistics, educational reforms, inclusion, children with disabilities, content analysis

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Authors: Sadaoui Djaouida

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In this paper, the predictive control method is proposed to control the synchronization of two perturbed satellites attitude motion. Based on delayed feedback control of continuous-time systems combines with the prediction-based method of discrete-time systems, this approach only needs a single controller to realize synchronization, which has considerable significance in reducing the cost and complexity for controller implementation.

Keywords: predictive control, synchronization, satellite attitude, control engineering

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Authors: Fathi Abubrig, Mohamed Delfag, Suad Abuzariba

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The influence of the crystal field interactions on the mixed spin-3/2 and spin-5/2 ferromagnetic Ising system is considered by using the mean field theory based on Bogoliubov inequality for the Gibbs free energy. The ground-state phase diagram is constructed, the phase diagrams of the second-order critical temperatures are obtained, and the thermal variation of the sublattice magnetizations is investigated in detail. We find some interesting phenomena for the sublattice magnetizations at particular values of the crystal field interactions.

Keywords: crystal field, Ising system, ferromagnetic, magnetization, phase diagrams

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Authors: Zhenjie Liu

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This paper investigates the existence and uniqueness of solutions for singular higher order boundary value problems on time scales by using mixed monotone method. The theorems obtained are very general. For the different time scale, the problem may be the corresponding continuous or discrete boundary value problem.

Keywords: mixed monotone operator, boundary value problem, time scale, green's function, positive solution, singularity

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Authors: Hyein Ko

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In 2017, many signs of populism occurred around the world. This paper suggests that populism is not a sudden phenomenon, but a manifestation of common people’s will. By analyzing previous research, this paper proposes three factors related to populism: Inequality, experience of economic crisis, and rapid cultural change. With these three elements, four cases will be investigated in this article; two countries experienced populism, and the other two countries did not experience it. Comparing four cases by using three elements will give a fruitful foundation for further analysis regarding populism. In sum, aforementioned three elements are highly related to the occurrence of populism. However, there is one hidden factor: dissatisfaction with established politics. Thus, populism is not a temporal phenomenon. It is a red alert for democratic crisis.

Keywords: common people, democratic crisis, populism, Trump phenomenon

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Authors: Aistis ZekevicIus

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Biopolitical theory, which was first developed by Michel Foucault, takes into consideration the administration of life by implying a style of government based on the regulation of populations as its subject. The intensification of the #BlackLivesMatter movement and popular outcries against racial discrimination in the US health system have prompted us to reconsider the relationship between biopolitics and race in the face of the COVID-19 pandemic. Based on works by Foucault, Achille Mbembe and Nicholas Mirzoeff that transcend the boundaries of poststructuralism, critical theory and postcolonial studies, the paper suggests that the global pandemic has highlighted new aspects of the interplay between biopower and race by encouraging the search for scapegoats, deepening the structural racial inequality, and thus producing necropolitical regimes of exclusion.

Keywords: biopolitics, biopower, necropolitics, pandemic, race

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Authors: Masato Saeki

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Presented herein is a novel algorithms for calculating the damping performance of particle dampers. The particle damper is a passive vibration control technique and has many practical applications due to simple design. It consists of granular materials constrained to move between two ends in the cavity of a primary vibrating system. The damping effect results from the exchange of momentum during the impact of granular materials against the wall of the cavity. This damping has the advantage of being independent of the environment. Therefore, particle damping can be applied in extreme temperature environments, where most conventional dampers would fail. It was shown experimentally in many papers that the efficiency of the particle dampers is high in the case of resonant vibration. In order to use the particle dampers effectively, it is necessary to solve the equations of motion for each particle, considering the granularity. The discrete element method (DEM) has been found to be effective for revealing the dynamics of particle damping. In this method, individual particles are assumed as rigid body and interparticle collisions are modeled by mechanical elements as springs and dashpots. However, the computational cost is significant since the equation of motion for each particle must be solved at each time step. In order to improve the computational efficiency of the DEM, the new algorithms are needed. In this study, new algorithms are proposed for implementing the high performance DEM. On the assumption that behaviors of the granular particles in the each divided area of the damper container are the same, the contact force of the primary system with all particles can be considered to be equal to the product of the divided number of the damper area and the contact force of the primary system with granular materials per divided area. This convenience makes it possible to considerably reduce the calculation time. The validity of this calculation method was investigated and the calculated results were compared with the experimental ones. This paper also presents the results of experimental studies of the performance of particle dampers. It is shown that the particle radius affect the noise level. It is also shown that the particle size and the particle material influence the damper performance.

Keywords: particle damping, discrete element method (DEM), granular materials, numerical analysis, equivalent noise level

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Authors: Julio Vicente Cateia

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This study aims to analyze the economic impacts of infrastructure investment in Africa, focusing on the Guinea-Bissau economy. Through a dynamic CGE model, we find that the natural resource revenues (or aid)-funded infrastructure investments generate externalities that increase factor returns. The private investment improvements propagate externalities effects on GDP and job opportunities outcomes. Household income and consumption were positively impacted, though the poorer benefited the most. The income inequality has reduced. However, funding by the mix of debt and direct taxes produces opposite effects. We suggest a potential pro-poor growth agenda in Africa.

Keywords: infrastructure investment, poverty alleviation, CGE modeling, African economies, applied economics

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Authors: Lucrezia Crescenzi-Lanna, Silvia Cataldi, Williams Contreras, Valerio Pieri

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According to the European Commission, gender-based violence (GBV) is a violation of human rights and a form of discrimination against women in five areas: physical violence, sexual violence, psychological violence, mistreatment of women, and economic violence (henceforth EV). The TESORO project "Treatment, ExpoSition, and ORigin of economic viOlence: An innovation and internationalization project between Italy and Spain" focuses on this last dimension of gender-based violence, the least studied and the one that has received least media coverage. In Spain, 12% (2,350,684) of women over fifteen years of age have suffered economic violence from their partner or ex-partner during their lives. In Italy, another country participating in the project, many women who are welcomed in refuges and who report cases of psychological violence (79%) and/or physical violence (61%) are also victims of economic violence (34%), according to the D.i.Re. Thermometer: "Donne in Rete contro la Violenza", the association that brings together more than eighty refuges against violence in Italy. At the social level, this form of violence is incorporated into practices of inequality that manifest themselves in both the daily management of couples and families and the workplace and institutional settings. As for the mechanisms related to EV, the literature argues that it is a complex and multidimensional phenomenon that has socioeconomic and cultural roots. EV manifests itself through various strategies, which represent forms of power and control aimed at preventing women's financial independence. To analyse the issue of EV we use a multidisciplinary approach and a mixed design that includes: 1) a questionnaire administered to a stratified sample of more than a thousand Italian and Spanish citizens to study the cultural and socio-relational mechanisms and the origin of EV in family and couple contexts; and 2) interviews with those running refuges as part of the struggle against gender violence, to understand how mechanisms and educational activities in the field of economic violence are manifested in the respective region and are supportive of women. The decision to use this strategy responds to the need to combine an exploratory perspective with an explanatory one in order to understand some of the relevant concepts related to the complex phenomena of EV and the interventions dedicated to its prevention. The data will be finalized in June 2022 and presented at the ICWS conference. Among TESORO’s contributions, its collection of qualitative and quantitative data on EV in Italy and Spain stands out, deepening its origin, prevention, and treatment beyond its incidence, which has already been studied in the Macro-Survey on Violence against Women.

Keywords: gender-based violence, economic violence, economic harm, gender inequality, workplace and family contexts

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Authors: Linda Smail, Zineb Azouz

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Given a Bayesian network relative to a set I of discrete random variables, we are interested in computing the probability distribution P(S) where S is a subset of I. The general idea is to write the expression of P(S) in the form of a product of factors where each factor is easy to compute. More importantly, it will be very useful to give an interpretation of each of the factors in terms of conditional probabilities. This paper considers a semantic interpretation of the factors involved in computing marginal probabilities in Bayesian networks. Establishing such a semantic interpretations is indeed interesting and relevant in the case of large Bayesian networks.

Keywords: Bayesian networks, D-Separation, level two Bayesian networks, factorization of computation

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Authors: Wookyong Kwon, Sangmoon Lee

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In this paper, a sampled-data model predictive tracking control method is presented for mobile robots which is modeled as constrained continuous-time linear parameter varying (LPV) systems. The presented sampled-data predictive controller is designed by linear matrix inequality approach. Based on the input delay approach, a controller design condition is derived by constructing a new Lyapunov function. Finally, a numerical example is given to demonstrate the effectiveness of the presented method.

Keywords: model predictive control, sampled-data control, linear parameter varying systems, LPV

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Authors: M. J. Park, S. H. Lee, C. H. Lee, O. M. Kwon

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This paper studies a secondary voltage control framework of the microgrids based on the consensus for a communication network of multiagent. The proposed control is designed by the communication network with one-way links. The communication network is modeled by a directed graph. At this time, the concept of sampling is considered as the communication constraint among each distributed generator in the microgrids. To analyze the sampling effects on the secondary voltage control of the microgrids, by using Lyapunov theory and some mathematical techniques, the sufficient condition for such problem will be established regarding linear matrix inequality (LMI). Finally, some simulation results are given to illustrate the necessity of the consideration of the sampling effects on the secondary voltage control of the microgrids.

Keywords: microgrids, secondary control, multiagent, sampling, LMI

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Authors: Artion Kashuri, Rozana Liko

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In this paper, some generalization integral inequalities of Hermite–Hadamard type for functions whose derivatives are s–convex in modulus are given by using k–fractional integrals. Some applications to special means are obtained as well. Some known versions are recovered as special cases from our results. We note that our inequalities can be viewed as new refinements of the previous results. Finally, our results have a deep connection with various fractional integral operators and interested readers can find new interesting results using our idea and technique as well.

Keywords: Hermite-Hadamard's inequalities, Hölder's inequality, k-Riemann-Liouville fractional integral, special means

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Authors: T. K. Dutta, K. K. Das, N. Dutta

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The salient feature of this paper is primarily concerned with Ricker’s population model: f(x)=x e^(r(1-x/k)), where r is the control parameter and k is the carrying capacity, and some fruitful results are obtained with the following objectives: 1) Determination of bifurcation values leading to a chaotic region, 2) Development of Statistical Methods and Analysis required for the measure of Fractal dimensions, 3) Calculation of various fractal dimensions. These results also help that the invariant probability distribution on the attractor, when it exists, provides detailed information about the long-term behavior of a dynamical system. At the end, some open problems are posed for further research.

Keywords: Feigenbaum universality, chaos, Lyapunov exponent, fractal dimensions

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Authors: Qinke Sun, Liang Zhou

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The ‘Dragon-Elephant Debate’ between China and India is an important manifestation of global multipolarity in the 21st century. The two rising powers have carried out economic reforms one after another in the interval of more than ten years, becoming the fastest growing developing country and emerging economy in the world. At the same time, the development differences between China and India have gradually attracted wide attention of scholars. Based on the continuous annual night light data (DMSP-OLS) from 1992 to 2012, this paper systematically compares and analyses the regional development differences between China and India by Gini coefficient, coefficient of variation, comprehensive night light index (CNLI) and hot spot analysis. The results show that: (1) China's overall expansion from 1992 to 2012 is 1.84 times that of India, in which China's change is 2.6 times and India's change is 2 times. The percentage of lights in unlighted areas in China dropped from 92% to 82%, while that in India from 71% to 50%. (2) China's new growth-oriented cities appear in Hohhot, Inner Mongolia, Ordos, and Urumqi in the west, and the declining cities are concentrated in Liaoning Province and Jilin Province in the northeast; India's new growth-oriented cities are concentrated in Chhattisgarh in the north, while the declining areas are distributed in Uttar Pradesh. (3) China's differences on different scales are lower than India's, and regional inequality of development is gradually narrowing. Gini coefficients at the regional and provincial levels have decreased from 0.29, 0.44 to 0.24 and 0.38, respectively, while regional inequality in India has slowly improved and regional differences are gradually widening, with Gini coefficients rising from 0.28 to 0.32. The provincial Gini coefficient decreased slightly from 0.64 to 0.63. (4) The spatial pattern of China's regional development is mainly east-west difference, which shows the difference between coastal and inland areas; while the spatial pattern of India's regional development is mainly north-south difference, but because the southern states are sea-dependent, it also reflects the coastal inland difference to a certain extent. (5) Beijing and Shanghai present a multi-core outward expansion model, with an average annual CNLI higher than 0.01, while New Delhi and Mumbai present the main core enhancement expansion model, with an average annual CNLI lower than 0.01, of which the average annual CNLI in Shanghai is about five times that in Mumbai.

Keywords: spatial pattern, spatial difference, DMSP-OLS, China, India

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Authors: Safwan Mawlood Hussien

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Internet of Things (IoT) is a promising technology has received considerable attention in different fields such as health, industry, defence, and agro, etc. Due to the limitation capacity of computing, storage, and communication, IoT objects are more vulnerable to attacks. Many solutions have been proposed to solve security issues, such as key management using symmetric-key ciphers. This study provides a scalable group distribution key management based on ECcryptography; with less transmitted messages The method has been validated through simulations in OMNeT++.

Keywords: elliptic curves, Diffie–Hellman, discrete logarithm problem, secure key exchange, WSN security, IoT security, smart-agro

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Authors: Marcin Michalak

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Biclustering is the way of two-dimensional data analysis. For several years it became possible to express such issue in terms of Boolean reasoning, for processing continuous, discrete and binary data. The mathematical backgrounds of such approach — proved ability of induction of exact and inclusion–maximal biclusters fulfilling assumed criteria — are strong advantages of the method. Unfortunately, the core of the method has quite high computational complexity. In the paper the basics of Boolean reasoning approach for biclustering are presented. In such context the problems of computation parallelization are risen.

Keywords: Boolean reasoning, biclustering, parallelization, prime implicant

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Authors: Rohit Shrivastava, Stefan Luding

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A mechanical wave is propagation of vibration with transfer of energy and momentum. Studying the energy as well as spectral energy characteristics of a propagating wave through disordered granular media can assist in understanding the overall properties of wave propagation through inhomogeneous materials like soil. The study of these properties is aimed at modeling wave propagation for oil, mineral or gas exploration (seismic prospecting) or non-destructive testing for the study of internal structure of solids. The study of Energy content (Kinetic, Potential and Total Energy) of a pulse propagating through an idealized one-dimensional discrete particle system like a mass disordered granular chain can assist in understanding the energy attenuation due to disorder as a function of propagation distance. The spectral analysis of the energy signal can assist in understanding dispersion as well as attenuation due to scattering in different frequencies (scattering attenuation). The selection of one-dimensional granular chain also helps in studying only the P-wave attributes of the wave and removing the influence of shear or rotational waves. Granular chains with different mass distributions have been studied, by randomly selecting masses from normal, binary and uniform distributions and the standard deviation of the distribution is considered as the disorder parameter, higher standard deviation means higher disorder and lower standard deviation means lower disorder. For obtaining macroscopic/continuum properties, ensemble averaging has been used. Interpreting information from a Total Energy signal turned out to be much easier in comparison to displacement, velocity or acceleration signals of the wave, hence, indicating a better analysis method for wave propagation through granular materials. Increasing disorder leads to faster attenuation of the signal and decreases the Energy of higher frequency signals transmitted, but at the same time the energy of spatially localized high frequencies also increases. An ordered granular chain exhibits ballistic propagation of energy whereas, a disordered granular chain exhibits diffusive like propagation, which eventually becomes localized at long periods of time.

Keywords: discrete elements, energy attenuation, mass disorder, granular chain, spectral energy, wave propagation

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Authors: T. R. Sharika, Ashwini Kumar, Kamal Bijlani

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Encryption is the process of converting crucial information’s unreadable to unauthorized persons. Image security is an important type of encryption that secures all type of images from cryptanalysis. A stream cipher is a fast symmetric key algorithm which is used to convert plaintext to cipher text. In this paper we are proposing an image encryption algorithm with Discrete Cosine Transform and Stream Ciphers that can improve compression of images and enhanced security. The paper also explains the use of a shuffling algorithm for enhancing securing.

Keywords: decryption, DCT, encryption, RC4 cipher, stream cipher

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Authors: Jihene Jebeniani

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We proposed an approach combining both the techniques of experimental economy and the flexibility of discrete choice models in order to test the loss aversion. Our main objective was to test the loss aversion of the Cumulative Prospect Theory (CPT). We developed an experimental laboratory in the context of the financial investments that aimed to analyze the attitude towards the risk of the investors. The study uses the lotteries and is basing on econometric modeling. The estimated model was the ordered probit.

Keywords: risk aversion, behavioral finance, experimental economic, lotteries, cumulative prospect theory

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Authors: John Hardy, Paul Lushenko

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he twenty-first century international security order has been fraught with challenges to the credibility and stability of the post-Cold War status quo. Although the American-led international system has rarely been threatened directly by dissatisfied states, an underlying challenge to the international security order has emerged in the form of a slow-burning abnegation of small but significant aspects of the status quo. Meanwhile, those security challenges which have threatened to destabilize order in the international system have not clearly belonged to the traditional notions of diplomacy and armed conflict. Instead, the main antagonists have been both states and non-state actors, the issues have crossed national and international boundaries, and contestation has occurred in a ‘gray zone’ between peace and war. Gray zone conflicts are not easily categorized as military operations, national security policies or political strategies, because they often include elements of diplomacy, military operations, and statecraft in complex combinations. This study applies three approaches to conceptualizing the gray zone in which many contemporary conflicts take place. The first approach frames gray zone conflicts as a form of coercive diplomacy, in which armed force is used to add credibility and commitment to political threats. The second approach frames gray zone conflicts as a form of discrete military operation, in which armed force is used sparingly and is limited to a specific issue. The third approach frames gray zones conflicts as a form of proxy war, in which armed force is used by or through third parties, rather than directly between belligerents. The study finds that each approach to conceptualizing the gray zone accounts for only a narrow range of issues which fall within the gap between traditional notions of peace and war. However, in combination, all three approaches are useful in explicating the gray zone and understanding the character of contemporary security challenges which defy simple categorization. These findings suggest that coercive diplomacy, discrete military operations, and proxy warfare provide three overlapping lenses for conceptualizing the gray zone and for understanding the gray zone conflicts which threaten international security in the early twenty-first century.

Keywords: gray zone, international security, military operations, national security, strategy

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Authors: M. R. Martinez-Torres, S. L. Toral, M. Olmedilla

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Typically, virtual communities exhibit the well-known phenomenon of participation inequality, which means that only a small percentage of users is responsible of the majority of contributions. However, the sustainability of the community requires that the group of active users must be continuously nurtured with new users that gain expertise through a participation process. This paper analyzes the time evolution of Open Source Software (OSS) communities, considering users that join/abandon the community over time and several topological properties of the network when modeled as a social network. More specifically, the paper analyzes the role of those users rejoining the community and their influence in the global characteristics of the network.

Keywords: open source communities, social network Analysis, time series, virtual communities

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Authors: Tri Wijayanti Septiarini, Agus Maman Abadi, Muhammad Rifki Taufik

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The exchange rate of IDR/USD can be the indicator to analysis Indonesian economy. The exchange rate as a important factor because it has big effect in Indonesian economy overall. So, it needs the analysis data of exchange rate. There is decomposition data of exchange rate of IDR/USD to be frequency and time. It can help the government to monitor the Indonesian economy. This method is very effective to identify the case, have high accurate result and have simple structure. In this paper, data of exchange rate that used is weekly data from December 17, 2010 until November 11, 2014.

Keywords: the exchange rate, fuzzy mamdani, discrete wavelet transforms, fuzzy wavelet

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Authors: E. V. Fakhrutdinova, Y. S. Kolesnikova, E. A. Karasik, V. M. Zagidullina

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Poverty as the social and economic phenomenon exists in any society and represents a many-sided problem. In this sense it is universal and for many centuries serves as a research objects for scientists. Special attention to a problem of poverty in Russia is caused, first of all, by the critical growth of inequality and by scales of expansion of poverty, considerable decrease in the level and quality of life of the population, decrease in availability of education during the period of reforming. The expansion of poverty on the working members of society, youth, which has to provide reproduction of the population is alarming. As poverty is the reason of weakening of national security of the country, degradation of the population, decline in the quality of the human capital, complication of a demographic situation, strengthening of social contradictions in society, so far as the reduction of poverty, so, the increase in production. Poverty: the characteristic of an economic situation of the individual or social group at which they can't satisfy certain minimum requirements necessary for life, preservations of working capacity and reproduction. Poverty became one of the critical factors expelling people from the system of the institutional interactions reducing social space in which their relations were building breaking their social identity. Complication of the problem of poverty in modern society happened due to penetration of the related relations into many spheres of life. It is known that negative consequences of poverty display not only at the personal level of the poor person, but also at the level of interpersonal social interactions, decline in the quality and level of development of the human capital, and also at social and economic system in general. We conducted a research on the influence of education on the change of poverty level of the population. We consider education as a resource for an increase of the income and social mobility. Dependence of the income of the population on the level of education, availability of education (level of education and quality of education) on the level of income of families is found. Differentiation of quality and number of educational services for children depending on the level of the income of families is revealed. Influence of a factor of poverty on the availability of education is also studied. We consider expenses on education as the limiter of access to education. We consider education as a factor of fixation and aggravation of a property inequality. In the solution of problems of poverty the defining condition is the state regulation of social and economic development by means of creation of the effective institutional environment. The state has to develop measures for an increase of availability of various services to all categories of citizens, in particular services of health care and education, especially for poor citizens enters. The special attention regarding an increase of availability of education services has to be paid to creation of system of social elevators.

Keywords: poverty, education, human capital, quality of life

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Authors: K. S. Chai, S. H. Chan

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In this paper, the earth retaining wall anchored by discrete deadman anchor to support excavations in sand is modelled and analysed by finite element analysis. A study is conducted to examine how deadman anchorage system helps in reducing the deflection of earth retaining wall. A simplified numerical model is suggested in order to reduce the simulation duration. A comparison between 3-D and 2-D finite element analyses is illustrated.

Keywords: finite element, earth retaining wall, deadman anchor, sand

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Authors: Ali Isapour, Ramin Nateghi

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— Markov parameters are unique parameters of the system and remain unchanged under similarity transformations. Markov parameters from a power series that is convergent only if the system matrix’s eigenvalues are inside the unity circle. Therefore, Markov parameters of a stable discrete-time system are convergent. In this study, we aim to realize the system based on Markov parameters by using Artificial Neural Networks (ANN), and this end, we use Flexible Neural Networks. Realization means determining the elements of matrices A, B, C, and D.

Keywords: Markov parameters, realization, activation function, flexible neural network

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Authors: Mohamed Shawki Elamir, Heinrich Gotzig, Raoul Zoellner, Patrick Maeder

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In this work, a methodology is presented for identifying the optimal digitization parameters for the analog signal of ultrasonic sensors. These digitization parameters are the resolution of the analog to digital conversion and the sampling rate. This is accomplished through the derivation of characteristic curves based on Fano inequality and the calculation of the mutual information content over a given dataset. The mutual information is calculated between the examples in the dataset and the corresponding variation in the feature that needs to be estimated. The optimal parameters are identified in a manner that ensures optimal estimation performance while preventing inefficiency in using unnecessarily powerful analog to digital converters.

Keywords: analog to digital conversion, digitization, sampling rate, ultrasonic

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Authors: Fola John Adeyeye

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In this paper, we propose a cryptosystem private and public key base on symmetric group Pn and validates its theoretical formulation. This proposed system benefits from the algebraic properties of Pn such as noncommutative high logical, computational speed and high flexibility in selecting key which makes the discrete permutation multiplier logic (DPML) resist to attack by any algorithm such as Pohlig-Hellman. One of the advantages of this scheme is that it explore all the possible triangular symmetries. Against these properties, the only disadvantage is that the law of permutation multiplicity only allow an operation from left to right. Many other cryptosystems can be transformed into their symmetric group.

Keywords: cryptosystem, private and public key, DPML, symmetric group Pn

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Authors: Sepideh Mirzaee

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Gender-transformative (G-TE) education is a challenging concept in the field of education and it is a matter of hot debate in the contemporary world. Paulo Freire as the prominent advocate of transformative education considers it as an alternative to conventional banking model of education. Besides, a more inclusive concept has been introduced, namely, G-TE, as an unbiased education fostering an environment of gender justice. As its main tenet, G-TE eliminates obstacles to education and improves social shifts. A plethora of contemporary research indicates that G-TE could completely revolutionize education systems by displacing inequalities and changing gender stereotypes. Despite significant progress in female education and its effects on gender equality in Iran, challenges persist. There are some deficiencies regarding gender disparities in the society and, education, specifically. As an example, the number of women with university degrees is on the rise; thus, there will be an increasing demand for employment in the society by them. Instead, many job opportunities remain occupied by men and it is seen as intolerable for the society to assign such occupations to women. In fact, Iran is regarded as a patriarchal society where educational contexts can play a critical role to assign gender ideology to its learners. Thus, such gender ideologies in the education can become the prevailing ideologies in the entire society. Therefore, improving education in this regard, can lead to a significant change in a society subsequently influencing the status of women not only within their own country but also on a global scale. Notably, higher education plays a vital role in this empowerment and social change. Particularly higher education can have a crucial part in imparting gender neutral ideologies to its learners and bringing about substantial change. It has the potential to alleviate the detrimental effects of gender inequalities. Therefore, this study aims to conceptualize the pivotal role of G-TE and its potential power in developing gender equality within the higher educational system of Iran presented within a theoretical framework. The study emphasizes the necessity of stablishing a theoretical grounding for citizenship, and transformative education while distinguishing gender related issues including gender equality, equity and parity. This theoretical foundation will shed lights on the decisions made by policy-makers, syllabus designers, material developers, and specifically professors and students. By doing so, they will be able to promote and implement gender equality recognizing the determinants, obstacles, and consequences of sustaining gender-transformative approaches in their classes within the Iranian higher education system. The expected outcomes include the eradication of gender inequality, transformation of gender stereotypes and provision of equal opportunities for both males and females in education.

Keywords: citizenship education, gender inequality, higher education, patriarchal society, transformative education

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Authors: Tomoaki Hashimoto

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Recently, optimal control problems subject to probabilistic constraints have attracted much attention in many research field. Although probabilistic constraints are generally intractable in optimization problems, several methods haven been proposed to deal with probabilistic constraints. In most methods, probabilistic constraints are transformed to deterministic constraints that are tractable in optimization problems. This paper examines a method for transforming probabilistic constraints into deterministic constraints for a class of probabilistic constrained optimal control problems.

Keywords: optimal control, stochastic systems, discrete-time systems, probabilistic constraints

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