Search results for: prime order

Authors: Johnson Oladele Fatokun, I. P. Akpan

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In this paper, the one-dimensional time dependent Schrödinger equation is discretized by the method of lines using a second order finite difference approximation to replace the second order spatial derivative. The evolving system of stiff ordinary differential equation (ODE) in time is solved numerically by an L-stable trapezoidal-like integrator. Results show accuracy of relative maximum error of order 10-4 in the interval of consideration. The performance of the method as compared to an existing scheme is considered favorable.

Keywords: Schrodinger’s equation, partial differential equations, method of lines (MOL), stiff ODE, trapezoidal-like integrator

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Authors: Paradigm Shift

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In an overwhelmingly import oriented content bazaar of Arabian TV industry, Musalsalat stand unique in their indigenousness and mass popularity, being rivalled only by movies and football. The Arabic term ‘Musalsalat’ stands for drama series with episodes of 30-45 minutes duration; the format being close to Latin American Telenovela concept-clear cut stories with definitive endings that permit narrative closures. Traditionally Musalsalat were either situational comedies or religiously inspired. Present-day productions have started addressing historical, creative and socially progressive issues targeting the young and well-travelled audiences. Though these soaps get prime ratings throughout the year, it is during Ramadan, that they become a raving success in securing viewership. That Musalsalat have become paramount Ramadan programming is evident by their dominance on the grid and attracting heavy ad-spend. The number of Musalsalats produced specifically for Ramadan reached over 100 last year with Ramadan TV advertising amounting to USD1, 947bn constituting 21% of the total regional TV Adspend of USD 9,189bn.

Keywords: Musalsalat, drama, pan Arab, television

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Authors: Mafel Obhuo, Dodeye I. Igbong, Duabari S. Aziaka, Pericles Pilidis

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An important feature of the exploitation of associated gas as fuel for gas turbine engines is a declining supply. So when exploiting this resource, the divestment of prime movers is very important as the fuel supply diminishes with time. This paper explores the influence of engine degradation on the timing of divestments. Hypothetical but realistic gas turbine engines were modelled with Turbomatch, the Cranfield University gas turbine performance simulation tool. The results were deployed in three degradation scenarios within the TERA (Techno-economic and environmental risk analysis) framework to develop economic models. An optimisation with Genetic Algorithms was carried out to maximize the economic benefit. The results show that degradation will have a significant impact. It will delay the divestment of power plants, while they are running less efficiently. Over a 20 year investment, a decrease of $0.11bn, $0.26bn and $0.45bn (billion US dollars) were observed for the three degradation scenarios as against the clean case.

Keywords: economic return, flared associated gas, net present value, optimization

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Authors: Asmaa Baghli

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Self-acceptance is one of the most pertinent notions that attracted the attention of many scholars. These latters believed that the sense of self-acceptance for people contributes in the emergence of their self-esteem and helps to improve their efficacy level. Simply defined, self-acceptance stands for the ability of the person to admire and accept herself and her potentials. This fact is believed to participate in the personal image creation depending on the qualities and features possessed. Hitherto, the following paper aims, first, to provide a brief and concise definition of self-acceptance, self-esteem and self-efficacy. It tries to explain the correlation between the three concepts along with its linkage to language teaching. Then, it examines teachers’ acceptance level and its influence on their classroom actions. For that purpose, the main methodology undertaken is the mixed method. That means the combination between both quantitative and qualitative research methods. The prime tools selected are a questionnaire and self-acceptance test for teachers. Finally, it suggests some techniques for developing teachers’ self-acceptance.

Keywords: competence, development, efficacy, Self-acceptance, self-esteem, teachers

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Authors: Jyoti Wadhwa, Arvinder Singh

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This work presents the theoretical investigation of an enhanced second-harmonic generation of higher-order Gaussian laser beam in plasma having a density ramp. The mechanism responsible for the self-focusing of a laser beam in plasma is considered to be the relativistic mass variation of plasma electrons under the effect of a highly intense laser beam. Using the moment theory approach and considering the Wentzel-Kramers-Brillouin approximation for the non-linear Schrodinger wave equation, the differential equation is derived, which governs the spot size of the higher-order Gaussian laser beam in plasma. The nonlinearity induced by the laser beam creates the density gradient in the background plasma electrons, which is responsible for the excitation of the electron plasma wave. The large amplitude electron plasma wave interacts with the fundamental beam, which further produces the coherent radiations with double the frequency of the incident beam. The analysis shows the important role of the different modes of higher-order Gaussian laser beam and density ramp on the efficiency of generated harmonics.

Keywords: density rippled plasma, higher order Gaussian laser beam, moment theory approach, second harmonic generation.

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Authors: Anand Kishore Kola, G. Uday Bhaskar Babu, Kotturi Ajay Kumar

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The modern dynamic systems used in industries are complex in nature and hence the fractional order controllers have been contemplated as a fresh approach to control system design that takes the complexity into account. Traditional integer order controllers use integer derivatives and integrals to control systems, whereas fractional order controllers use fractional derivatives and integrals to regulate memory and non-local behavior. This study provides a method based on the maximumsensitivity (Ms) methodology to discover all resilient fractional filter Internal Model Control - proportional integral derivative (IMC-PID) controllers that stabilize the closed-loop system and deliver the highest performance for a time delay system with a Smith predictor configuration. Additionally, it helps to enhance the range of PID controllers that are used to stabilize the system. This study also evaluates the effectiveness of the suggested controller approach for minimum phase system in comparison to those currently in use which are based on Integral of Absolute Error (IAE) and Total Variation (TV).

Keywords: modern dynamic systems, fractional order controllers, maximum-sensitivity, IMC-PID controllers, Smith predictor, IAE and TV

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Authors: Fahad Ahmed Qureshi

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There were abundant renowned financial markets in Pre-Islamic Arabs. Most of those were patterned and settled during pre-particularized sunshine. Those markets were classified either as vernacular markets helping the neighboring clans, or habitual markets that people sojourned to from all articulations of the Arabian Peninsula, such as Okaz near Mecca. Some of those markets had leading significance due to their geographical positions, such as Prime market of Eden, because of their entanglement in international trade i.e. with the markets of Sub-Continent, Abyssinia, Persia and China. Other markets such as Market of Yamamah annex its gist from being situated on the caravan crossroads. Islamic worldview and Islamic epistemology base of Financial Market’s realistic theory, pragmatic model and operative approach is moderately constrained in terms of its growth. The existent situation only parasol the form of accommodative-modification and splendid-methodologies, which due to depleted and decorous endeavor in explaining Islamic financial market theoretically. This is the demand of time that particular studies should be conduct to magnify the devours in developing theoretical framework for Islamic Financial Market.

Keywords: Islam, financial market, history, research, product development

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Authors: Isiya Salihu Shinkafi

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The focus of this paper is to elaborate on employment opportunities within the tourism sector and the solutions to youth unemployment in Africa and Nigeria in particular. Youth unemployment creates a monumental social problem to African continent, the world over and Nigeria in particular. The intelligence of this paper was collected from secondary sources using previews researches and analysis of scholars to gather empirical data. The findings revealed that unemployment in Africa and specifically Nigeria among youths were caused by certain factors which constitute a greater challenge to the economy and the existence of the continent. The tourism sector provides the enabling environment to address the different categories of unemployment among the youths. One of the unique characteristics of the tourism industry that makes it a prime sector from which employment can be engineered; especially in the case of the African countries, are its labour intensive characteristics of both experts, skilled, semi-skilled and unskilled labour.

Keywords: tourism industry, employment opportunities, youth employment

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Authors: Abdelmahmod Saad

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In this study two amino acids were chosen (DL.alanine,DL.serine) to determine their effect on dissociation of S2O8-2 ino. As the reaction was very slow, Ag+ ino was used as a catalyst. The kinetics measurement showed that the reactions in both cases were found in the first order with respect to S2O8-2, half order with respect to Ag+ and zero order with respect to substrates. Mechanisms were proposed for these reactions according to the determined orders. The energy of activation (AE) was determined for each reaction, and was found to by 30.50 k JmoI-1 in case of DL. Serine and 24.40 k JmoI-1 in case of DL.alanine.

Keywords: mechanism, oxidation, amino acids, peroxodisulphate

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Authors: Narumol Chintaganun

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In this paper we present the second-order central differencing scheme with the staggered version (STG) for solving the advection equation and Burger's equation. This scheme based on staggered evolution of the re-constructed cell averages. This scheme results in the second-order central differencing scheme, an extension along the lines of the first-order central scheme of Lax-Friedrichs (LxF) scheme. All numerical simulations presented in this paper are obtained by finite difference method (FDM) and STG. Numerical results are shown that the STG gives very good results and higher accuracy.

Keywords: central differencing scheme, STG, advection equation, burgers equation

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Authors: Morsy Ahmed Morsy Ismail

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In this paper, the structure of a coherent homodyne receiver for the Binary Phase Shift Keying (BPSK) Optical Code Division Multiple Access (OCDMA) network is introduced based on the Multi-Length Weighted Modified Prime Code (ML-WMPC) for multimedia applications. The Bit Error Rate (BER) of this homodyne detection is evaluated as a function of the number of active users and the signal to noise ratio for different code lengths according to the multimedia application such as audio, voice, and video. Besides, the Mach-Zehnder interferometer is used as an external phase modulator in homodyne detection. Furthermore, the Multiple Access Interference (MAI) and the receiver noise in a shot-noise limited regime are taken into consideration in the BER calculations.

Keywords: OCDMA networks, bit error rate, multiple access interference, binary phase-shift keying, multimedia

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Authors: Young Hee Geum

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In this paper, we present the iterative method and determine the control parameters to converge cubically for solving nonlinear equations. In addition, we derive the asymptotic error constant.

Keywords: asymptotic error constant, iterative method, multiple root, root-finding, order of convergent

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Authors: I. Gupta, C. Kathpal

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Introduction: Time is really the only capital that any human being has, and the only thing he cannot afford to lose. Work life balance is a contested term on which researchers have begun to study in 1960s. Work-life balance refers to how people allocate time between their jobs and other pursuits, such as family, hobbies, and community involvement and includes the mental health fitness of the employees so that the future goal of organization to sustain the employees and earning profits can be achieved. Every organization primarily involves making a parity between the employees' work and their personal life by contributing the maximum. Aims and Objectives: The aim of the present study is to examine the impact of work-life balance as well as employee satisfaction on the organizational performance by evaluating the inter-related factors in order to maintain the healthy growth of concerns. Materials and Methods: To realize the aim of the study, an unstructured questionnaire, as well as face to face interview, was conducted from 100 persons which consisted majority of male members of top as well as middle level positions in the various organizations. The prime source of data collection was primary; however, the study has also used the theoretical contribution done in this respective field by various researchers. Results: Majority of the respondents were males(80%) from age group of 25-45. The collected data was analyzed through hypothesis testing statistical techniques such as correlation analysis, single regression analysis and ANOVA which has rejected the null hypothesis that there is no relation between work-life interface and organizational performance. The major finding of this study is that work-life balance is directly related to the organizations performance. The results show that the organization which works on the employee satisfaction earns more. Along with, there is a reduction of turnout rates, absenteeism, moreover, enhancement of productivity as well as revenue of corporations. Conclusion: The present study reflects that the disparity in the work-life balance gives invitation to many disorders either mental or physical which leads the dearth in performance. As a result, not only employees, however, organizations also suffers which is clearly shown in the interviews conducted face to face with employees. The study is not targeting the particular class of audience; however, it brings out benefits to the masses.

Keywords: work-life balance, performance, culture, organization, satisfaction

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Authors: Süleyman Hakan Yilmaz, Yasemin Gülsen Yilmaz

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The Gezi Park protests of 2013 have significantly changed the Turkish agenda and its effects have been felt historically. The protests, which rapidly spread throughout the country, were triggered by the proposal to recreate the Ottoman Army Barracks to function as a shopping mall on Gezi Park located in Istanbul’s Taksim neighbourhood despite the oppositions of several NGOs and when trees were cut in the park for this purpose. Once the news that construction vehicles entered the park on May 27 spread on social media, activists moved into the park to stop the demolition, against whom the police used disproportioned force. With this police intervention and the then prime-minister Tayyip Erdoğan's insistent statements about the construction plans, the protests turned into anti-government demonstrations, which then spread to the rest of the country, mainly in big cities like Ankara and Izmir. According to the Ministry of Internal Affairs’ June 23rd reports, 2.5 million people joined the demonstrations in 79 provinces, that is all of them, except for the provinces of Bayburt and Bingöl, while even more people shared their opinions via social networks. As a result of these events, 8 civilians and 2 security personnel lost their lives, namely police chief Mustafa Sarı, police officer Ahmet Küçükdağ, citizens Mehmet Ayvalıtaş, Abdullah Cömert, Ethem Sarısülük, Ali İsmail Korkmaz, Ahmet Atakan, Berkin Elvan, Burak Can Karamanoğlu, Mehmet İstif, and Elif Çermik, and 8163 more were injured. Besides being a turning point in Turkish history, the Gezi Park protests also had broad repercussions in both in Turkish and in global media, which focused on Turkey throughout the events. Our study conducts content analysis of three Turkish reporting newspapers with varying ideological standpoints, Hürriyet, Cumhuriyet ve Yeni Şafak, in order to reveal their basic approach to columns casting in context of the Gezi Park protests. Columns content relating to the Gezi protests were treated and analysed for this purpose. The aim of this study is to understand the social effects of the Gezi Park protests through media samples with varying political attitudes towards news casting.

Keywords: Gezi Park, media, news casting, columns

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Authors: Katerina Nerantzaki, Panayiota Metallidou, Anastasia Efklides

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The aim of the study was to investigate: (a) changes in the intensity of various epistemic emotions during cognitive processing in a decision-making task and (b) their associations with metacognitive feelings of difficulty and confidence. One hundred and fifty-two undergraduate university students were asked individually to read in the e-prime environment decision-making scenarios about moral dilemmas concerning self-driving cars, which differed in the level of conflict they produced, and then to make a choice between two options. Further, the participants were asked to rate on a four-point scale four epistemic emotions (surprise, curiosity, confusion, and wonder) and two metacognitive feelings (feeling of difficulty and feeling of confidence) after making their choice in each scenario. Changes in cognitive processing due to the level of conflict affected differently the intensity of the specific epistemic emotions. Further, there were interrelations of epistemic emotions with metacognitive feelings.

Keywords: confusion, curiosity, epistemic emotions, metacognitive experiences, surprise

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Authors: Adam Rosiński

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This paper discusses an experiment conducted with two groups of participants, composed of musicians and non-musicians, in order to investigate the impact of the speed of a sound sequence and the order of sounds on the grouping of sounds into sequences of six tones. Significant differences were observed between musicians and non-musicians with respect to the threshold sequence speed at which the sequence was split into two streams. The differences in the results for the two groups suggest that the musical education of the participating listeners may be a vital factor. The criterion of musical education should be taken into account during experiments so that the results obtained are reliable, uniform, and free from interpretive errors.

Keywords: auditory scene analysis, education, hearing, psychoacoustics

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Authors: Patrick Velte

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Sustainability reporting has become a central element of modern corporate governance practice. This paper is the first to recognize supervisory board independence, sustainable expertise and gender diversity in two European two tier countries and their impact on sustainability reporting quality. For a sample of 188 German and Austrian companies which are listed at the Prime Standard of the Frankfurt and Vienna Stock Exchange for the business years 2012-2013, descriptive findings show that CSR reporting quality is still low in both countries. Furthermore, multiple regressions state that independent and female members in the supervisory board do have a positive impact on CSR reporting quality in Germany and Austria. However, the existence of sustainable experts in the supervisory board both in Germany and Austria shows a positive but insignificant impact. Our findings suggest that the current European corporate governance regulations can be a useful instrument to increase the quality of modern CSR reporting for the stakeholders.

Keywords: sustainability reporting, corporate governance, gender diversity, board independence

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Authors: Fatemeh Nikpay, Rodina Binti Ahmad, Babak Darvish Rouhani

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Enterprise Architecture (EA) is employed by enterprises for providing integrated Information Systems (ISs) in order to support alignment of their business and Information Technology (IT). Evaluation of EA implementation can support enterprise to reach intended goals. There are some problems in current evaluation methods of EA implementation that lead to ineffectiveness implementation of EA. This paper represents current issues on evaluation of EA implementation. In this regard, we set the framework in order to represent evaluation’s issues based on their functionality and structure. The results of this research not only increase the knowledge of evaluation, but also could be useful for both academics and practitioners in order to realize the current situation of evaluations.

Keywords: current issues on EA implementation evaluation, evaluation, enterprise architecture, evaluation of enterprise architecture implementation

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Authors: Guesh Simretab Gebremedhin, Saumya Rajan Jena

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In this work, a septic B-spline scheme has been used to simplify the process of solving an approximate solution of the generalized Rosenau-regularized long-wave equation (GR-RLWE) with initial boundary conditions. The resulting system of first-order ODEs has dealt with Butcher’s fifth order Runge-Kutta (BFRK) approach without using finite difference techniques for discretizing the time-dependent variables at each time level. Here, no transformation or any kind of linearization technique is employed to tackle the nonlinearity of the equation. Two test problems have been selected for numerical justifications and comparisons with other researchers on the basis of efficiency, accuracy, and results of the two invariants Mᵢ (mass) and Eᵢ (energy) of some motion that has been used to test the conservative properties of the proposed scheme.

Keywords: septic B-spline scheme, Butcher's fifth order Runge-Kutta approach, error norms, generalized Rosenau-RLW equation

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Authors: Ezgi Nevruz, Kasirga Yildirak, Ashis SenGupta

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Comparing or ranking risks is the main motivating factor behind the human trait of making choices. Cumulative prospect theory (CPT) is a preference theory approach that evaluates perception and bias in decision making under risk and uncertainty. We aim to investigate the aggregate claims of different risk classes in terms of their comparability and amenability to ordering when the impact of risk perception is considered. For this aim, we prioritize the aggregate claims taken as actuarial risks by using various stochastic ordering relations. In order to prioritize actuarial risks, we use stochastic relations such as stochastic dominance and stop-loss dominance that are proposed in the frame of partial order theory. We take into account the dependency of the individual claims exposed to similar environmental risks. At first, we modify the zero-utility premium principle in order to obtain a solution for the stop-loss premium under CPT. Then, we propose a stochastic stop-loss dominance of the aggregate claims and find a relation between the stop-loss dominance and the first-order stochastic dominance under the dependence assumption by using properties of the familiar as well as some emerging multivariate claim distributions.

Keywords: cumulative prospect theory, partial order theory, risk perception, stochastic dominance, stop-loss dominance

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Authors: Berengere Vire, Nicolas Salvetat, Yoann Lannay, Guillaume Marcellin, Siem Van Der Laan, Franck Molina, Dinah Weissmann

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Predicting suicidal behaviors is one of the most complex challenges of daily psychiatric practices. Today, suicide risk prediction using biological tools is not validated and is only based on subjective clinical reports of the at-risk individual. Therefore, there is a great need to identify biomarkers that would allow early identification of individuals at risk of suicide. Alterations of adenosine-to-inosine (A-to-I) RNA editing of neurotransmitter receptors and other proteins have been shown to be involved in etiology of different psychiatric disorders and linked to suicidal behavior. RNA editing is a co- or post-transcriptional process leading to a site-specific alteration in RNA sequences. It plays an important role in the epi transcriptomic regulation of RNA metabolism. On postmortem human brain tissue (prefrontal cortex) of depressed suicide victims, Alcediag found specific alterations of RNA editing activity on the mRNA coding for the serotonin 2C receptor (5-HT2cR). Additionally, an increase in expression levels of ADARs, the RNA editing enzymes, and modifications of RNA editing profiles of prime targets, such as phosphodiesterase 8A (PDE8A) mRNA, have also been observed. Interestingly, the PDE8A gene is located on chromosome 15q25.3, a genomic region that has recurrently been associated with the early-onset major depressive disorder (MDD). In the current study, we examined whether modifications in RNA editing profile of prime targets allow identifying disease-relevant blood biomarkers and evaluating suicide risk in patients. To address this question, we performed a clinical study to identify an RNA editing signature in blood of depressed patients with and without the history of suicide attempts. Patient’s samples were drawn in PAXgene tubes and analyzed on Alcediag’s proprietary RNA editing platform using next generation sequencing technology. In addition, gene expression analysis by quantitative PCR was performed. We generated a multivariate algorithm comprising various selected biomarkers to detect patients with a high risk to attempt suicide. We evaluated the diagnostic performance using the relative proportion of PDE8A mRNA editing at different sites and/or isoforms as well as the expression of PDE8A and the ADARs. The significance of these biomarkers for suicidality was evaluated using the area under the receiver-operating characteristic curve (AUC). The generated algorithm comprising the biomarkers was found to have strong diagnostic performances with high specificity and sensitivity. In conclusion, we developed tools to measure disease-specific biomarkers in blood samples of patients for identifying individuals at the greatest risk for future suicide attempts. This technology not only fosters patient management but is also suitable to predict the risk of drug-induced psychiatric side effects such as iatrogenic increase of suicidal ideas/behaviors.

Keywords: blood biomarker, next-generation-sequencing, RNA editing, suicide

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Authors: Hamed Abshari, M. Reza Emami Azadi, Madjid Sadegh Azar

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For studying the overall instability of members of steel structures, there are several methods in which overall buckling and geometrical imperfection effects are considered in analysis. In first section, these methods are compared and ability of software to apply these methods is studied. Buckling loads determined from theoretical methods and software is compared for 2D one bay, one and two stories steel frames. To consider actual condition, buckling loads of three steel frames that have various dimensions are calculated and compared. Also, uncertainties that exist in loading and modeling of structures such as geometrical imperfection, yield stress, and modulus of elasticity in buckling load of 2D framed steel structures have been studied. By performing these uncertainties to each reliability analysis procedures (first-order, second-order, and simulation methods of reliability), one index of reliability from each procedure is determined. These values are studied and compared.

Keywords: buckling, second-order theory, reliability index, steel columns

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Authors: Stephen Clear

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Brexit, the relationship between devolved administrations, and Westminster, as well as recent Supreme Court judgments, all evidence that traditional paradigms in the divide between legal and political constitutionalism are changing within the United Kingdom. Whilst not mutually exclusive concepts, these latest constitutional developments suggest that the UK is about to embark upon radical constitutional reform over the course of the next decade. Such will systematically redefine the roles and relationships of each of the three arms of the State. In mapping these three latest events, this paper starts by defining constitutionalism as a jurisprudential concept, from the Age of Enlightenment, through to its present day manifestations in 2020. Such thereafter explains why the UK is seeking to move further away from political constitutionalism, and instead towards an increased reliance on newly defined laws and rules, particularly given that the UK now has a government with a stronger working majority following the general election results in 2019. In doing so, this paper concludes by commenting upon recent concerns surrounding the potential for the politicization of the judiciary within the United Kingdom, at a time when the UK Prime Minister is seeking to redefine the country’s constitutional rulebook.

Keywords: United Kingdom, Brexit, constitutionalism, law, politics, constitutional reform, separation of powers

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Authors: Farzaneh Rajabighamchi, Stan van Hoesel, Christof Defryn

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The generalized traveling salesman problem (GTSP) is an extension of the traveling salesman problem (TSP) where the set of nodes is partitioned into clusters, and the salesman must visit exactly one node per cluster. In this research, we apply the definition of the GTSP to an order picker routing problem with multiple locations per product. As such, each product represents a cluster and its corresponding nodes are the locations at which the product can be retrieved. To pick a certain product item from the warehouse, the picker needs to visit one of these locations during its pick tour. As all products are scattered throughout the warehouse, the product clusters not separated geographically. We propose an exact LP model as well as heuristic and meta-heuristic solution algorithms for the order picking problem with multiple product locations.

Keywords: warehouse optimization, order picking problem, generalised travelling salesman problem, heuristic algorithm

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Authors: Ezzeddin Anawa, Abdol-Ghane Olabi

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The dissimilar joint between aluminum /titanium alloys (Al 6082 and Ti G2) alloys were successfully achieved by CO2 laser welding with a single pass and without filler material using the overlap joint design. Laser welding parameters ranges combinations were experimentally determined using Taguchi approach with the objective of producing welded joint with acceptable welding profile and high quality of mechanical properties. In this study a joining of dissimilar Al 6082 / Ti G2 was result in three distinct regions fusion area (FA), heat-affected zone (HAZ), and the unaffected base metal (BM) in the weldment. These regions are studied in terms of its microstructural characteristics and microhardness which are directly affecting the welding quality. The weld metal was mainly composed of martensite alpha prime. In two different metals in the two different sides of joint HAZ, grain growth was detected. The microhardness of the joint distribution also has shown microhardness increasing in the HAZ of two base metals and a varying microhardness in fusion zone.

Keywords: microharness , microstructure, laser welding and dissimilar jointed materials.

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Authors: Haniye Dehestani, Yadollah Ordokhani

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In this work, we present an efficient approach for solving variable-order time-fractional partial differential equations, which are based on Legendre and Laguerre polynomials. First, we introduced the pseudo-operational matrices of integer and variable fractional order of integration by use of some properties of Riemann-Liouville fractional integral. Then, applied together with collocation method and Legendre-Laguerre functions for solving variable-order time-fractional partial differential equations. Also, an estimation of the error is presented. At last, we investigate numerical examples which arise in physics to demonstrate the accuracy of the present method. In comparison results obtained by the present method with the exact solution and the other methods reveals that the method is very effective.

Keywords: collocation method, fractional partial differential equations, legendre-laguerre functions, pseudo-operational matrix of integration

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Authors: A. R. Nezamabadi, M. Veiskarami

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This paper studies free vibration of simply supported functionally graded beams with piezoelectric layers based on the first order shear deformation theory. The Young's modulus of beam is assumed to be graded continuously across the beam thickness. The governing equation is established. Resulting equation is solved using the Euler's equation. The effects of the constituent volume fractions, the influences of applied voltage on the vibration frequency are presented. To investigate the accuracy of the present analysis, a compression study is carried out with a known data.

Keywords: mechanical buckling, functionally graded beam, first order shear deformation theory, free vibration

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Authors: Rana Mahmoud

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This study represents a systematic study of the Operational Transconductance Amplifiers capacitance (OTA-C) filters or as it is often called Gm-C filters. OTA-C filters have been paid a great attention for the last decades. As Gm-C filters operate in an open loop topology, this makes them flexible to perform in low and high frequencies. As such, Gm-C filters can be used in various wireless communication applications. Another property of Gm-C filters is its electronic tunability, thus different filter frequency characteristics can be obtained without changing the inductance and resistance values. This can be achieved by an OTA (Operational Transconductance Amplifier) and a capacitor. By tuning the OTA transconductance, the cut-off frequency will be tuned and different frequency responses are achieved. Different high-order analog filters can be design using Gm-C filters including low pass, high pass and band pass filters. 1st and 2nd order low pass, high pass and band pass filters are presented in this paper.

Keywords: Gm-C, filters, low-pass, high-pass, band-pass

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Authors: Sulaiman Ahmed

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This paper will analyse the classical Islamic text in order to determine whether the Arab spring was a rebellion or a revolution. Commencing in 2010, we saw a series of revolutions or what some would call rebellions throughout the Arab peninsula. Many of the religious clergies came out emphatically in support of the people who wanted to overthrow the leaders. This brought forth the important question about the acceptability of rebelling against unjust leaders in Islamic theological texts. The paper will look to analyse the Islamic legal and theological position on the permissibility of rebelling, whether there is scholarly consensus on the issue, and how the texts are analysed in order to come to the current position we have today. The position of the clergy who supported the Arab spring will also be analysed in order to deduce if their position falls within the religious framework. An inquiry will be about to determine the ideology of those who joined the rebellion after the inception and whether these ideas can be found in classical Islamic texts. The nuances of these positions will be analysed in order to determine whether what we witnessed was a rebellion or a revolution.

Keywords: rebellion, revolution, Arab spring, scholarly consensus

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Authors: Revaz Gvelesiani

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The problem of compliance between the state economic policy and entrepreneurial policy of businesses is primarily manifested in the contradictions related to the congruence between entrepreneurship development and self-development strategies. Among various types (financial, monetary, social, etc.) of the state economic policy aiming at the development of entrepreneurship, economic order policy is of special importance. Its goal is to set the framework for both public and private economic activities and achieve coherence between the societal value system and the formation of the economic order framework. Economic order policy, in its turn, involves intrinsic contradiction between the social and the competitive order. Competitive order is oriented on the principle of success, while social order _ on the criteria of need satisfaction, which contradicts, at least partly, to the principles of success. Thus within the economic order policy, on the one hand, the state makes efforts to form social order and expand its frontiers, while, on the other hand, market is determined to establish functioning competitive order and ensure its realization. Locating the adequate spaces for and setting the rational border between the state (social order) and the private (competitive order) activities, represents the phenomenon of the decisive importance from the entrepreneurship development strategy standpoint. In the countries where the above mentioned spaces and borders are “set” correctly, entrepreneurship agents (small, medium-sized and large businesses) achieve great success by means of seizing the respective segments and maintaining the leading positions in the internal, the European and the world markets for a long time. As for the entrepreneurship self-development strategy, above all, it involves: •market identification; •interactions with consumers; •continuous innovations; •competition strategy; •relationships with partners; •new management philosophy, etc. The analysis of compliance between the entrepreneurship strategy and entrepreneurship culture should be the reference point for any kind of internationalization in order to avoid shocks of cultural nature and the economic backwardness. Stabilization can be achieved only when the employee actions reflect the existing culture and the new contents of culture (targeted culture) is turned into the implicit consciousness of the personnel. The future leaders should learn how to manage different cultures. Entrepreneurship can be managed successfully if its strategy and culture are coherent. However, not rarely enterprises (organizations) show various forms of violation of both personal and team actions. If personal and team non-observances appear as the form of influence upon the culture, it will lead to global destruction of the system and structure. This is the entrepreneurship culture pathology that complicates to achieve compliance between the entrepreneurship strategy and entrepreneurship culture. Thus, the intrinsic contradictions of entrepreneurship development and self-development strategies complicate the task of reaching compliance between the state economic policy and the company entrepreneurship policy: on the one hand, there is a contradiction between the social and the competitive order within economic order policy and on the other hand, the contradiction exists between entrepreneurship strategy and entrepreneurship culture within entrepreneurship policy.

Keywords: economic order policy, entrepreneurship, development contradictions, self-development contradictions

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