Search results for: principals’ administrative functions

Authors: Samar Sheikhelsouk, Dina Abdel Qader, Nada Rizk

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The plan of the organization may impede its progress and creativity, especially in the framework of its work in independent environments and fast-shifting markets, unless the leaders and minds of the organization use a set of practices, tools, and techniques encapsulated in so-called “agile methods” or “lightweight” methods. Thus, this research paper examines the agile management approach as a flexible and dynamic approach and its relationship to the administrative ambidexterity at the Alexandria library. The sample of the study is the employees of the Alexandria library. The study is expected to provide both theoretical and practical implications. The current study will bridge the gap between agile management and administrative approaches in the literature. The study will lead managers to comprehend how the role of agile management in establishing administrative ambidexterity in the organization.

Keywords: agile management, administrative innovation, Alexandria library, Egypt

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Authors: Elysee Guy Yohou

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Côte d'Ivoire established a National Commission for Sustainable Development with a view to implementing the ESD. This study aims to understand the knowledge, attitude and practice about education for sustainability of teachers, students, principals, and staff in secondary schools in Côte d’Ivoire while exploring the barriers, levers and examines the leadership skills needed to help carrying out ESD. The data collection took place in October and December 2015. Questionnaires were administered to 400 participants, which involved teachers, students, principals and staff in 25 public and private secondary schools in four regional offices of education. 297 questionnaires were collected producing a collection-rate of 74.25%. Descriptive statistics, independent t-test, dependent sample t-test, One way ANOVA, Pearson correlation were used to analyze the data. Thereupon, knowledge, attitudes about education for sustainability of teachers, principals and staff in secondary school are better than students. However, there is little practice of ESD. 68.3% of participants are not familiar with the Decade of Education for Sustainable Development. In addition, 92.8% of schools do not have a school Agenda 21. The major barriers that prevent the teaching of education for sustainability are lack of access to technical tools, insufficient funding and lack of information. The main levers are teacher and staff training, financing, awareness of students, and public engagement. Principals do possess good human and technical skills but limited conceptual skills. The study showed that conceptual and human skills are convenient assets which rhyme more with education for sustainability. Thereupon, if schools’ principal need to improve education for sustainability through practice, they need more conceptual skills.

Keywords: Côte d'Ivoire, education for sustainability, leadership skills, secondary school

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Authors: Junjun Chen, Yingxiu Li

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The occupational well-being of school principals has played a vital role in the pursuit of individual and school wellness and success. However, principals’ well-being worldwide is under increasing threat because of the challenging and complex nature of their work and growing demands for school standardisation and accountability. Pressure is particularly acute in the post-pandemicfuture as principals attempt to deal with the impact of the pandemic on top of more regular demands. This is particularly true in Hong Kong, as school principals are increasingly wedged between unparalleled political, social, and academic responsibilities. Recognizing the semantic breadth of well-being, scholars have not determined a single, mutually agreeable definition but agreed that the concept of well-being has multiple dimensions across various disciplines. The multidimensional approach promises more precise assessments of the relationships between well-being and other concepts than the ‘affect-only’ approach or other single domains for capturing the essence of principal well-being. The multiple-dimension well-being concept is adopted in this project to understand principal well-being in this study. This study aimed to understand the situation of principal well-being and its influential drivers with a sample of 670 principals from Hong Kong and Mainland China. An online survey was sent to the participants after the breakout of COVID-19 by the researchers. All participants were well informed about the purposes and procedure of the project and the confidentiality of the data prior to filling in the questionnaire. Confirmatory factor analysis and structural equation modelling performed with Mplus were employed to deal with the dataset. The data analysis procedure involved the following three steps. First, the descriptive statistics (e.g., mean and standard deviation) were calculated. Second, confirmatory factor analysis (CFA) was used to trim principal well-being measurement performed with maximum likelihood estimation. Third, structural equation modelling (SEM) was employed to test the influential factors of principal well-being. The results of this study indicated that the overall of principal well-being were above the average mean score. The highest ranking in this study given by the principals was to their psychological and social well-being (M = 5.21). This was followed by spiritual (M = 5.14; SD = .77), cognitive (M = 5.14; SD = .77), emotional (M = 4.96; SD = .79), and physical well-being (M = 3.15; SD = .73). Participants ranked their physical well-being the lowest. Moreover, professional autonomy, supervisor and collegial support, school physical conditions, professional networking, and social media have showed a significant impact on principal well-being. The findings of this study will potentially enhance not only principal well-being, but also the functioning of an individual principal and a school without sacrificing principal well-being for quality education in the process. This will eventually move one step forward for a new future - a wellness society advocated by OECD. Importantly, well-being is an inside job that begins with choosing to have wellness, whilst supports to become a wellness principal are also imperative.

Keywords: well-being, school principals, quantitative, influential factors

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Authors: Rashidah Omar, Suzeini Abdul Halim, Aini Janteng

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The coefficients estimate problem for Taylor-Maclaurin series is still an open problem especially for a function in the subclass of bi-univalent functions. A function f ϵ A is said to be bi-univalent in the open unit disk D if both f and f^-1 are univalent in D. The symbol A denotes the class of all analytic functions f in D and it is normalized by the conditions f(0) = f’(0) – 1=0. The class of bi-univalent is denoted by  The subordination concept is used in determining second and third Taylor-Maclaurin coefficients. The upper bound for second and third coefficients is estimated for functions in the subclasses of bi-univalent functions which are subordinated to the function φ. An analytic function f is subordinate to an analytic function g if there is an analytic function w defined on D with w(0) = 0 and |w(z)| < 1 satisfying f(z) = g[w(z)]. In this paper, two subclasses of bi-univalent functions associated with Hohlov operator are introduced. The bound for second and third coefficients of functions in these subclasses is determined using subordination. The findings would generalize the previous related works of several earlier authors.

Keywords: analytic functions, bi-univalent functions, Hohlov operator, subordination

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Authors: N. Tal-Alon, O. Shapira-Lishchinsky

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Disability disclosure is one of the most complicated dilemmas that people with invisible disabilities face. There are only a few research studies that have focused on the difficulties and dilemmas of teachers who have different disabilities. In addition, there are currently no research studies focusing specifically on the different aspects of disability disclosure, which are unique to teachers. This research has, therefore, broadened the knowledge base and understanding of the dilemma of disability disclosure among teachers with invisible physical disabilities. In addition, it has shed light on the ways this issue is perceived by different groups: the perspective of school principals, the perspective of colleagues, and the perspective of teachers with physical disabilities themselves. The study sample included 12 teachers with invisible physical disabilities, 10 school principals who employ at least one teacher with an invisible physical disability, and 10 professional colleagues of at least one teacher with an invisible physical disability. This particular research study was conducted using a qualitative approach through the Narralizer computer program based on a series of in-depth interviews. The data analysis was carried out by grouping major points of interest into specific categories and sub-categories. The findings of this research suggest that teachers with disabilities struggle with the dilemma of whether or not to reveal their disability to the school staff and to their students. It was found that there were considerable differences between the issues that faculty members considered regarding this dilemma and the ones that teachers with disabilities considered. While the principals and professional colleagues focused solely on their own interests, the teachers with a disability emphasized more on the ways that they might have a positive influence on their students, as well as their own individual interests. In addition, school principals on a whole tended to view negatively the option of disclosing the disability to the students and were often critical towards teachers who concealed their disability from the school staff. The importance of this research is in its potential to influence policy decisions that can be implemented by the Ministry of Education regarding the support system for teachers with invisible physical disabilities.

Keywords: education, employment, invisible disabilities, teachers

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Authors: İbrahim Aktaş, Árpád Baricz

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In this paper, the radii of star likeness of the Jackson and Hahn-Exton q-Bessel functions are considered, and for each of them three different normalizations is applied. By applying Euler-Rayleigh inequalities for the first positive zeros of these functions tight lower, and upper bounds for the radii of starlikeness of these functions are obtained. The Laguerre-Pólya class of real entire functions plays an important role in this study. In particular, we obtain some new bounds for the first positive zero of the derivative of the classical Bessel function of the first kind.

Keywords: bessel function, lommel function, radius of starlikeness and convexity, Struve function

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Authors: Tulasi Acharya

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The paper is a qualitative analysis of status of women and women in politics and administration in Nepal Himalaya. The paper reviews data of women in civil service and in administrative levels. Looking at the Nepali politics and administration from the social constructivist perspective, the paper highlights some social and cultural issues that have othered women as “second sex.” As the country is heading towards modernity, gender friendly approaches are being instituted. Although the data reflects on the progress on women’s status and on women’s political and administrative participation, the data is not enough to predict the democratic gender practices in political and administrative levels. The political and administrative culture of Nepal Himalaya should be changed by promoting gender practices and deconstructing gender images in administrative culture through representative bureaucracy and by introducing democratic policies.

Keywords: politics, policy, administration, culture, women, Nepal, democracy

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Authors: Tulin Coskun

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We investigate the approximation of analytic functions of several variables in polydisc by the sequences of linear k-positive operators in Gadjiev sence. The approximation of analytic functions of complex variable by linear k-positive operators was tackled, and k-positive operators and formulated theorems of Korovkin's type for these operators in the space of analytic functions on the unit disc were introduced in the past. Recently, very general results on convergence of the sequences of linear k-positive operators on a simply connected bounded domain within the space of analytic functions were proved. In this presentation, we extend some of these results to the approximation of analytic functions of several complex variables by sequences of linear k-positive operators.

Keywords: analytic functions, approximation of analytic functions, Linear k-positive operators, Korovkin type theorems

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Authors: Ellen Patricia, Marilou Hyson

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Coaching has been showing great potential to strengthen the impact of brief group trainings and help early childhood teachers solve specific problems at work with the goal of raising the quality of early childhood services. However, there have been some doubts about the benefits that village teachers can receive from coaching. It is perceived that village teachers may struggle with the thinking skills needed to make coaching beneficial. Furthermore, there are reservations about whether principals and supervisors in villages are open to coaching’s facilitative approach, as opposed to the directive approach they have been using. As such, the use of coaching to develop the professionalism of early childhood teachers in the villages needs to be examined. The Coaching Pilot for early childhood teachers in Indonesia villages provides insights for the above issues. The Coaching Pilot is part of the ECED Frontline Pilot, which is a collaboration project between the Government of Indonesia and the World Bank with the support from the Australian Government (DFAT). The Pilot started with coordinated efforts with the local government in two districts to select principals and supervisors who have been equipped with basic knowledge about early childhood education to take part in 2-days coaching training. Afterwards, the participants were asked to collect 25 hours of coaching early childhood teachers who have participated in the Enhanced Basic Training for village teachers. The participants who completed this requirement were then invited to come for an assessment of their coaching skills. Following that, a qualitative evaluation was conducted using in-depth interviews and Focus Group Discussion techniques. The evaluation focuses on the impact of the coaching pilot in helping the village teachers to develop in their professionalism, as well as on the sustainability of the intervention. Results from the evaluation indicated that although their low education may limit their thinking skills, village teachers benefited from the coaching that they received. Moreover, the evaluation results also suggested that with enough training and support, principals and supervisors in the villages were able to provide an adequate coaching service for the teachers. On top of that, beyond this small start, interest is growing, both within the pilot districts and even beyond, due to word of mouth of the benefits that the Coaching Pilot has created. The districts where coaching was piloted have planned to continue the coaching program, since a number of early childhood teachers have requested to be coached, and a number of principals and supervisors have also requested to be trained as a coach. Furthermore, the Association for Early Childhood Educators in Indonesia has started to adopt coaching into their program. Although further research is needed, the Coaching Pilot suggests that coaching can positively impact early childhood teachers in villages, and village principals and supervisors can become a promising source of future coaches. As such, coaching has a significant potential to become a sustainable model for a continuous professional development program for early childhood teachers in villages.

Keywords: coaching, coaching pilot, early childhood teachers, principals and supervisors, village teachers

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Authors: Paiboon Chuwatthanakij

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In reference to the legal state in the Thai legal system, most people understand the minor principles of the legal state form, which are the principles that can be explained and understood easily and the results can be seen clearly, especially in the legitimacy of administrative acts. Therefore, there is no awareness of justice, which is the fundamental value of Thai law. The legitimacy of administrative acts requires the administration to adhere to the constitution and legislative laws in enforcement of the laws. If it appears that the administrative acts are illegitimate, the administrative court, as the court of justice, will revoke those acts as if they had never been set in the legal system, this will affect people’s trust as they are unaware as to whether the administrative acts that appoint their lives are legitimate or not. Regarding the revocation of administrative orders by the administrative court as if those orders had never existed, the common individual surely cannot be expected to comprehend the security of their juristic position. Therefore, the legal state does not require a revocation of the government’s acts to terminate its legal results merely because those acts are illegitimate, but there should be considerations and realizations regarding the “The Principle of the Protection of Legitimate Expectation,” which is a minor principle in the legal state’s content that focuses on supporting and protecting legitimate expectations of the juristic position of an individual and maintaining justice, which is the fundamental value of Thai law

Keywords: legal state, rule of law, protection of legitimate, adjudication

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Authors: Chahid K. Ghaddar

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The spreadsheet engine is exploited via a non-conventional mechanism to enable novel worksheet solver functions for computational calculus. The solver functions bypass inherent restrictions on built-in math and user defined functions by taking variable formulas as a new type of argument while retaining purity and recursion properties. The enabling mechanism permits integration of numerical algorithms into worksheet functions for solving virtually any computational problem that can be modelled by formulas and variables. Several examples are presented for computing integrals, derivatives, and systems of deferential-algebraic equations. Incorporation of the worksheet solver functions with the ubiquitous spreadsheet extend the utility of the latter as a powerful tool for computational mathematics.

Keywords: calculus, differential algebraic equations, solvers, spreadsheet

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Authors: Inuwa Abdu Ibrahim

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The research assessed representative democracy as an administrative system in Nigeria, by highlighting the failure of the state. It also looked at some components of direct democracy in Switzerland. Therefore, the paper focused on direct democracy, using secondary sources of data. In conclusion, the research offers direct democracy as a solution to the failure of the Nigerian administrative system especially as it affects participation, developmental programmes and institutionalized corruption.

Keywords: corruption, direct democracy, national development, Nigeria, participation

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Authors: Paolino Di Felice

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The background and significance of this study come from papers already appeared in the literature which measured the impact of public services (e.g., hospitals, schools, ...) on the citizens’ needs satisfaction (one of the dimensions of QOL studies) by calculating the distance between the place where they live and the location on the territory of the services. Those studies assume that the citizens' dwelling coincides with the centroid of the polygon that expresses the boundary of the administrative district, within the city, they belong to. Such an assumption “introduces a maximum measurement error equal to the greatest distance between the centroid and the border of the administrative district.”. The case study, this abstract reports about, investigates the implications descending from the adoption of such an approach but at geographical scales greater than the urban one, namely at the three levels of nesting of the Italian administrative units: the (20) regions, the (110) provinces, and the 8,094 municipalities. To carry out this study, it needs to be decided: a) how to store the huge amount of (spatial and descriptive) input data and b) how to process them. The latter aspect involves: b.1) the design of algorithms to investigate the geometry of the boundary of the Italian administrative units; b.2) their coding in a programming language; b.3) their execution and, eventually, b.4) archiving the results in a permanent support. The IT solution we implemented is centered around a (PostgreSQL/PostGIS) Geo DataBase structured in terms of three tables that fit well to the hierarchy of nesting of the Italian administrative units: municipality(id, name, provinceId, istatCode, regionId, geometry) province(id, name, regionId, geometry) region(id, name, geometry). The adoption of the DBMS technology allows us to implement the steps "a)" and "b)" easily. In particular, step "b)" is simplified dramatically by calling spatial operators and spatial built-in User Defined Functions within SQL queries against the Geo DB. The major findings coming from our experiments can be summarized as follows. The approximation that, on the average, descends from assimilating the residence of the citizens with the centroid of the administrative unit of reference is of few kilometers (4.9) at the municipalities level, while it becomes conspicuous at the other two levels (28.9 and 36.1, respectively). Therefore, studies such as those mentioned above can be extended up to the municipal level without affecting the correctness of the interpretation of the results, but not further. The IT framework implemented to carry out the experiments can be replicated for studies referring to the territory of other countries all over the world.

Keywords: quality of life, distance measurement error, Italian administrative units, spatial database

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Authors: Ali Obaid Alyami

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In Saudi Arabia, the pandemic of Coronavirus (COVID-19) has been affecting administrative contracts in many different ways. Lots of planned projects were stopped temporarily or implemented partially. Many contractors have suffered financial struggles and the absence of manpower. These administrative contracts are governed by Government Tenders and Procurement Law (GTPL) which was issued by a royal decree in 2019. This law addresses some challenges that could be stumbling blocks in the way of implementing a contract. One significant challenge is emergency circumstances that occur during the implementation of an administrative contract. The law provides some solutions for this disruption, but these solutions may not compensate for the whole damages that contractors suffer. This study will use the doctrinal methodology to analyze the rules of law and their application to the research problem. Most importantly, the issue that arises in this research is the possibility of governmental entities’ consideration, in administrative contracts, of the pandemic Coronavirus (COVID-19) as an emergency circumstance. This study points out the conditions for applying the theory of emergency circumstances on administrative contracts in addition to the definition of the theory and analyzing its elements. The other significant question is the limits on governmental entities to make a change in an administrative contract to achieve contractual rebalancing. GPTL and its implementing regulation set the conditions and limits of contractual rebalancing. However, this study finds that although GTPL provides rules for contractual rebalancing, there are some other mechanisms that contractors may take to fully compensate for the damages. For instance, when the loss cannot be minimized by GTPL, contractors might file lawsuits before the administrative judiciary. The study concludes that GTPL is a very comprehensive law system that stipulates specific rules for contractual rebalance and treats the emergency circumstances that obstruct the performance of administrative contracts.

Keywords: administrative contracts, emergency circumstances, balance of contract, administrative judiciary, government tenders, procurement law

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Authors: Luiz F. J. Maia

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This paper presents an approach to fuzzy control, with the use of new pertinence functions, applied in the case of an inverted pendulum. Appropriate definitions of pertinence functions to fuzzy sets make possible the implementation of the controller with only one control rule, resulting in a smooth control surface. The fuzzy control system can be implemented with analog devices, affording a true real-time performance.

Keywords: control surface, fuzzy control, Inverted pendulum, pertinence functions

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Authors: Tomasz Kosicki

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The subject of the presentation will be the administrative and legal instruments of disciplining maintenance debtors adopted by the Polish legislator, the substantive legal bases of which were adopted in the Act of 7 September 2007 on assistance to persons entitled to maintenance (Journal of Laws of 2022, item 1205). These provisions are complemented by procedural regulations resulting from the Act of 14 June 1960 - Code of Administrative Procedure (Journal of Laws of 2021, item 735, as amended). The first part of the paper will focus on the administrative proceedings regarding the recognition of the debtor as evading maintenance obligations. The initiation of this procedure ex officio is preceded by a number of actions by public administration bodies, including Conducting a maintenance interview with the debtor, during which his health and professional situation and the reasons for non-payment of maintenance are determined, Professional activation in a situation where the lack of payment of maintenance results from the lack of employment. The reasons for initiating the above-mentioned administrative proceedings ex officio will be indicated, taking into account the current views of the judicial decisions. The second part of the paper will focus on the instrument of retaining the driving license of the debtor, who was previously found to be evading maintenance. The author points out that the detention of the driving license is one of the types of administrative sanctions of a very severe nature. Doubts of a constitutional nature will also be highlighted, as well as those concerning the effectiveness of this legal instrument and the protection of the debtor's rights. The thesis will be presented that the administrative procedure for the retention of a driving license does not fulfill its role and especially does not affect the collection of maintenance obligations from debtors. All the considerations will be based on the current and most representative views of the literature on the subject and the jurisprudence of Polish administrative courts.

Keywords: maintenance debtor, administrative proceedings, detention of driving license, administrative sanction, polish administrative law, public administration

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Authors: Mohammad Mehdi Mazarei, Ali Asghar Behroozpoor

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In this paper, we define an optimization problem corresponding to smooth and nonsmooth functions which its optimal solution is the first derivative of these functions in a domain. For this purpose, a linear programming problem corresponding to optimization problem is obtained. The optimal solution of this linear programming problem is the approximate generalized first derivative. In fact, we approximate generalized first derivative of nonsmooth functions as tailor series. We show the efficiency of our approach by some smooth and nonsmooth functions in some examples.

Keywords: general derivative, linear programming, optimization problem, smooth and nonsmooth functions

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Authors: Tomasz Kosicki

Abstract:

The subject of the presentation will be the administrative and legal instruments of disciplining maintenance debtors adopted by the Polish legislator, the substantive legal bases of which were adopted in the Act of 7 September 2007 on assistance to persons entitled to maintenance (Journal of Laws of 2022, item 1205). These provisions are complemented by procedural regulations resulting from the Act of 14 June 1960 - Code of Administrative Procedure (Journal of Laws of 2021, item 735, as amended). The first part of the paper will focus on the administrative proceedings regarding the recognition of the debtor as evading maintenance obligations. The initiation of this procedure ex officio is preceded by a number of actions by public administration bodies, including Conducting a maintenance interview with the debtor, during which his health and professional situation and the reasons for non-payment of maintenance are determined, Professional activation in a situation where the lack of payment of maintenance results from the lack of employment. The reasons for initiating the above-mentioned administrative proceedings ex officio will be indicated, taking into account the current views of the judicial decisions. The second part of the paper will focus on the instrument of retaining the driving license of the debtor, who was previously found to be evading maintenance. The author points out that the detention of the driving license is one of the types of administrative sanctions of a very severe nature. Doubts of a constitutional nature will also be highlighted, as well as those concerning the effectiveness of this legal instrument and the protection of the debtor's rights. The thesis will be presented that the administrative procedure for the retention of a driving license does not fulfill its role and especially does not affect the collection of maintenance obligations from debtors. All the considerations will be based on the current and most representative views of the literature on the subject and the jurisprudence of Polish administrative courts.

Keywords: maintenance debtor, administrative proceedings, detention of driving license, administrative sanction, polish administrative law, public administration

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Authors: Jinen Daghrir, Anis Kricha, Karim Kalti

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The amount of incoming administrative documents is massive and manually processing these documents is a costly task especially on the timescale. In fact, this problem has led an important amount of research and development in the context of automatically extracting fields from administrative documents, in order to reduce the charges and to increase the citizen satisfaction in administrations. In this matter, we introduce an administrative document understanding system. Given a document in which a user has to select fields that have to be retrieved from a document class, a document model is automatically built. A document model is represented by an attributed relational graph (ARG) where nodes represent fields to extract, and edges represent the relation between them. Both of vertices and edges are attached with some feature vectors. When another document arrives to the system, the layout objects are extracted and an ARG is generated. The fields extraction is translated into a problem of matching two ARGs which relies mainly on the comparison of the spatial relationships between layout objects. Experimental results yield accuracy rates from 75% to 100% tested on eight document classes. Our proposed method has a good performance knowing that the document model is constructed using only one single document.

Keywords: administrative document understanding, logical labelling, logical layout analysis, fields extraction from administrative documents

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Authors: J. Juan Peña, J. Morales, J. García-Ravelo, J. García-Martínes

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It is known that by introducing alternative forms of exponential and logarithmic functions, the Tsallis entropy Sq is itself a generalization of Shannon entropy S. In this work, from a deformation through a scaling function applied to the differential operator, it is possible to generate a q-deformed calculus as well as a q-deformed arithmetic, which not only allows generalizing the exponential and logarithmic functions but also any other standard function. The updated q-deformed differential operator leads to an updated integral operator under which the functions are integrated together with a weight function. For each differentiable function, it is possible to identify its q-deformed partner, which is useful to generalize other algebraic relations proper of the original functions. As an application of this proposal, in this work, a generalization of exponential and logarithmic functions is studied in such a way that their relationship with the thermodynamic functions, particularly the entropy, allows us to have a q-deformed expression of these. As a result, from a particular scaling function applied to the differential operator, a q-deformed arithmetic is obtained, leading to the generalization of the Tsallis entropy.

Keywords: q-calculus, q-deformed arithmetic, entropy, exponential functions, thermodynamic functions

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Authors: Khosrow Maleknejad, Yaser Rostami

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In this paper, semi-orthogonal B-spline scaling functions and wavelets and their dual functions are presented to approximate the solutions of integro-differential equations.The B-spline scaling functions and wavelets, their properties and the operational matrices of derivative for this function are presented to reduce the solution of integro-differential equations to the solution of algebraic equations. Here we compute B-spline scaling functions of degree 4 and their dual, then we will show that by using them we have better approximation results for the solution of integro-differential equations in comparison with less degrees of scaling functions.

Keywords: ıntegro-differential equations, quartic B-spline wavelet, operational matrices, dual functions

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Authors: Fernando Maass, Pablo Martin, Jorge Olivares

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The Bessel function J₀(x) is very important in Electrodynamics and Physics, as well as its zeros. In this work, a method to obtain high accuracy approximation is presented through an application to that function. In most of the applications of this function, the values of the zeros are very important. In this work, analytic approximations for this function have been obtained valid for all positive values of the variable x, which have high accuracy for the function as well as for the zeros. The approximation is determined by the simultaneous used of the power series and asymptotic expansion. The structure of the approximation is a combination of two rational functions with elementary functions as trigonometric and fractional powers. Here us in Pade method, rational functions are used, but now there combined with elementary functions us fractional powers hyperbolic or trigonometric functions, and others. The reason of this is that now power series of the exact function are used, but together with the asymptotic expansion, which usually includes fractional powers trigonometric functions and other type of elementary functions. The approximation must be a bridge between both expansions, and this can not be accomplished using only with rational functions. In the simplest approximation using 4 parameters the maximum absolute error is less than 0.006 at x ∼ 4.9. In this case also the maximum relative error for the zeros is less than 0.003 which is for the second zero, but that value decreases rapidly for the other zeros. The same kind of behaviour happens for the relative error of the maximum and minimum of the functions. Approximations with higher accuracy and more parameters will be also shown. All the approximations are valid for any positive value of x, and they can be calculated easily.

Keywords: analytic approximations, asymptotic approximations, Bessel functions, quasirational approximations

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Authors: Priestly Malambo, Sonja Van Putten, Hanlie Botha, Gerrit Stols

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The relevance of what is content is taught in tertiary teacher training has long been in question. This study attempts to understand how advanced mathematics courses equip student teachers to teach functions at secondary school level. This paper reports on an investigation that was conducted in an African university, where preservice teachers were purposefully selected for participation in individual semi-structured interviews after completing a test on functions as taught at secondary school. They were asked to justify their reasoning in the test and to explain functions in a way that might bring about understanding of the topic in someone who did not know how functions work. These were final year preservice mathematics teachers who had studied advanced mathematics courses for three years. More than 50% of the students were not able to explain concepts or to justify their reasoning about secondary school functions in a coherent way. The results of this study suggest that the study of advanced mathematics does not automatically enable students to teach secondary school functions, and that, although these students were able to do advanced mathematics, they were unable to explain the working of functions in a way that would allow them to teach this topic successfully.

Keywords: secondary school, mathematical reasoning, student-teachers, functions

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Authors: Laila Akbarali

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In the small scale study, an attempt is made to explore the structure and administrative relationships adopted by Multi Campus Universities [MCU] in UK and Pakistan and how these universities deal with some selected issues with respect to student related functions. For this study, literature on multi-site, divisionalized and other complex organizations related to business and Industry was consulted and an attempt was made to empirically test the normative models in the literature with respect to centralized , deconcentrated and decentralized structures. A questionnaire was used to gather data for this study. Purposive sampling was used. The findings of this study are somewhat different for UK and Pakistan. Contrary to a substantial body of organization theory, the results show that deconcentrated and decentralized universities in the UK are prone to delays in decision making and tend not to sensitive to local needs. In Pakistan on the other hand, deconcentrated and decentralized universities are more sensitive to local needs and there are less delays in decision making. The findings suggest that distance and reporting relationships could perhaps be responsible for the contradiction. The results also suggest that there is better coordination when the subsidiary campus sub-registrar reports to the registrar. The findings also highlight, that in both contexts, leadership at the campus level remains an issue. The results suggest that there may be factors other than structure that allow universities to keep their identity intact. The study highlights that MCU are inclined to use Information Technology and develop broad policies within which they allow their campuses to operate.

Keywords: administrative relationships, Multi-Campus, organization structure, registrar

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Authors: Yilmaz Simsek

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In this paper, we study the Bernstein-type basis functions with their generating functions. We give various properties of these polynomials with the aid of their generating functions. These polynomials and generating functions have many valuable applications in mathematics, in probability, in statistics and also in mathematical physics. By using the Bernstein-Galerkin and the Bernstein-Petrov-Galerkin methods, we give some applications of the Bernstein-type polynomials for solving high even-order differential equations with their numerical computations. We also give Bezier-type curves related to the Bernstein-type basis functions. We investigate fundamental properties of these curves. These curves have many applications in mathematics, in computer geometric design and other related areas. Moreover, we simulate these polynomials with their plots for some selected numerical values.

Keywords: generating functions, Bernstein basis functions, Bernstein polynomials, Bezier curves, differential equations

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Authors: Carolina Cuéllar, Paz González

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Research has shown that school leadership has a significant indirect effect on students’ achievements. In Chile, evidence has also revealed that this impact is stronger in vulnerable schools. With the aim of strengthening school leadership, public policy has taken up the challenge of enhancing capabilities of novice principals through the implementation of induction programs, which include a mentoring component, entrusting the task of delivering these programs to universities. The importance of using mentoring or coaching models in the preparation of novice school leaders has been emphasized in the international literature. Thus, it can be affirmed that building leadership capacity through partnership is crucial to facilitate cognitive and affective support required in the initial phase of the principal career, gain role clarification and socialization in context, stimulate reflective leadership practice, among others. In Chile, mentoring is a recent phenomenon in the field of school leadership and it is even more new in the preparation of new principals who work in public schools. This study, funded by the Chilean Ministry of Education, sought to explore the challenges and lessons arising from the design and implementation of mentoring processes which are part of the induction programs, according to the perception of the different actors involved: ministerial agents, university coordinators, mentors and novice principals. The investigation used a qualitative design, based on a study of three cases (three induction programs). The sources of information were 46 semi-structured interviews, applied in two moments (at the beginning and end of mentoring). Content analysis technique was employed. Data focused on the uniqueness of each case and the commonalities within the cases. Five main challenges and lessons emerged in the design and implementation of mentoring within the induction programs for new principals from Chilean public schools. They comprised the need of (i) developing a shared conceptual framework on mentoring among the institutions and actors involved, which helps align the expectations for the mentoring component within the induction programs, along with assisting in establishing a theory of action of mentoring that is relevant to the public school context; (ii) recognizing trough actions and decisions at different levels that the role of a mentor differs from the role of a principal, which challenge the idea that an effective principal will always be an effective mentor; iii) improving mentors’ selection and preparation processes trough the definition of common guiding criteria to ensure that a mentor takes responsibility for developing critical judgment of novice principals, which implies not limiting the mentor’s actions to assist in the compliance of prescriptive practices and standards; (iv) generating common evaluative models with goals, instruments and indicators consistent with the characteristics of mentoring processes, which helps to assess expected results and impact; and (v) including the design of a mentoring structure as an outcome of the induction programs, which helps sustain mentoring within schools as a collective professional development practice. Results showcased interwoven elements that entail continuous negotiations at different levels. Taking action will contribute to policy efforts aimed at professionalizing the leadership role in public schools.

Keywords: induction programs, mentoring, novice principals, school leadership preparation

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Authors: Tajuddin Mohamad Rasdi, Chung Ming Zhe, Nurul Anida Mohamad

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This research paper aims to examine the lack of the idea of democracy and its concept among Malaysia’s citizens. In fact, all civil servants, whether federal or state departments, are the machinery of citizens. The objective of this research is to evaluate the administrative buildings in Selangor from the perspective of democratic architecture. The methodology used in this research is by reviewing and evaluating the selected administrative building, Majlis Bandaraya Petaling Jaya, as a case study, and the interview was conducted. The data collection was recorded based on a few criteria of the following architectural characteristic and management principles (public square, town hall, meeting rooms, convenient parking space, humanitarian spaces, public spaces) and architectural design elements (scale and massing, ornament, elevational language, accessibility, and spatial hierarchy). The analysis result shows that the administrative building elements which show the idea of democracy are not reflected well in some of the criteria that restrict the public, but those setbacks could be improved.

Keywords: democratic architecture, case study, design elements, administrative buildings

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Authors: Zahra Kouzehgari

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Since the early emergence of chaos theory in the 1970s in mathematics and physical science, it has increasingly been developed and adapted in social sciences as well. The non-linear and dynamic characteristics of the theory make it a useful conceptual framework to interpret the complex social systems behavior. Regarding chaotic approach principals, sensitivity to initial conditions, dynamic adoption, strange attractors and unpredictability this paper aims to examine whether chaos approach could interpret the ancient social changes. To do this, at first, a brief history of the chaos theory, its development and application in social science as well as the principals making the theory, then its application in archaeological since has been reviewed. The study demonstrates that although based on existing archaeological records reconstruct the whole social system of the human past, the non-linear approaches in studying social complex systems would be of a great help in finding general order of the ancient societies and would enable us to shed light on some of the social phenomena in the human history or to make sense of them.

Keywords: archaeology, non-linear approach, chaos theory, ancient social systems

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Authors: Yazmin Pineda Zapata

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Leading a complete school and culture transformation can be a daunting task for any administrator. This is especially true when change agents are advocating for inclusive reform in their schools. As leaders embark on this journey, they must ascertain that an inclusive environment is not a place, a classroom, or a resource setting; it is a place of acceptance nurtured by supportive and meaningful learning opportunities where all students can thrive. A qualitative approach, phenomenology, was used to investigate principals’ actions and behaviors that supported inclusive schooling for students with disabilities. Specifically, this study sought to answer the following research question: How do leaders develop and maintain inclusive education? Fourteen K-12 principals purposefully selected from various sources (e.g., School Wide Integrated Framework for Transformation (SWIFT), The Maryland Coalition for Inclusive Education (MCIE), The Arc of Texas Inclusion Works organization, The Association for Persons with Severe Handicaps (TASH), the CAL State Summer Institute in San Marcos, and the PEAK Parent Center and/or other recognitions were interviewed individually using a semi-structured protocol. Upon completion of data collection, all interviews were transcribed and marked using A priori coding to analyze the responses and establish a correlation among Villa and Thousand’s five organizational supports to achieve inclusive educational reform: Vision, Skills, Incentives, Resources, and Action Plan. The findings of this study reveal the insights of principals who met specific criteria and whose schools had been highlighted as exemplary inclusive schools. Results show that by implementing the five organizational supports, principals were able to develop and sustain successful inclusive environments where both teachers and students were motivated, made capable, and supported through the redefinition and restructuring of systems within the school. Various key details of the five variables for change depict essential components within these systems, which include quality professional development, coaching and modeling of co-teaching strategies, collaborative co-planning, teacher leadership, and continuous stakeholder (e.g., teachers, students, support staff, and parents) involvement. The administrators in this study proved the valuable benefits of inclusive education for students with disabilities and their typically developing peers. Together, along with their teaching and school community, school leaders became capable stakeholders that promoted the vision of inclusion, planned a structured approach, and took action to make it a reality.

Keywords: Inclusive education, leaders, principals, shared-decision making, shared leadership, special education, sustainable change

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Authors: E. J. Spamer, J. M. Van Zyl, MHA Combrinck

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The Unit for Open Distance Learning (UODL) at the North-West University (NWU), South Africa was established in 2013 with its main function to deliver open distance learning (ODL) programmes to approximately 30 000 students from the Faculties of Education Sciences, Health Sciences, Theology and Arts and Culture. Quality operational and administrative processes are key components in the delivery of these programmes and they need to function optimally for students to be successful in their studies. Operational and administrative processes include aspects such as applications, registration, dissemination of study material, availability of electronic platforms, the management of assessment, and the dissemination of important information. To be able to ensure and enhance quality during these processes, it is vital to determine students’ perceptions with regards to these mentioned processes. A questionnaire was available online and also distributed to the 63 tuition centres. The purpose of this research was to determine the perceptions of ODL students from NWU regarding operational and administrative processes. 1903 students completed and submitted the questionnaire. The data was quantitatively analysed and discussed. Results indicated that the majority of students are satisfied with the operational and administrative processes; however, the results also indicated some areas that need improvement. The data gathered is important to identify strengths and areas for improvement and form part of a bigger strategy of qualitative assurance at the UODL.

Keywords: administrative support, ODL programmes, quantitative study, students' perceptions

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