Search results for: algebraic identities

Authors: Berhane Tewelday Weldhiwot

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This research investigates the pivotal role of modular forms in modern cryptographic systems, particularly focusing on their applications in secure communications and data integrity. Modular forms, which are complex analytic functions with rich arithmetic properties, have gained prominence due to their connections to number theory and algebraic geometry. This study begins by outlining the fundamental concepts of modular forms and their historical development, followed by a detailed examination of their applications in cryptographic protocols such as elliptic curve cryptography and zero-knowledge proofs. By employing techniques from analytic number theory, the research delves into how modular forms can enhance the efficiency and security of cryptographic algorithms. The findings suggest that leveraging modular forms not only improves computational performance but also fortifies security measures against emerging threats in digital communication. This work aims to contribute to the ongoing discourse on integrating advanced mathematical theories into practical applications, ultimately fostering innovation in cryptographic methodologies.

Keywords: modular forms, cryptography, elliptic curves, applications, mathematical theory

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Authors: L. Ozoliņa

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Place branding as a strategic marketing tool is applied in Latvia since 2000. The main objective of the study is to find unique connecting aspects of the intangible cultural heritage elements on the development of sustainable place branding. The study is based on in-depth semi-structured interviews with Latvian place branding experts and content analysis of Latvia's place brand identities. The study indicates place branding as an internal co-creational and educational process of all involved stakeholders of the place and highlights a critical view on the local place branding practices on the notability of the in-depth research of the intangible cultural heritage.

Keywords: belonging, identity, intangible cultural heritage, narrative, self-image, place branding

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

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It is known that by introducing alternative forms of exponential and logarithmic functions, the Tsallis entropy Sᵩ 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: Shubham Jaiswal

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During modeling of transport phenomena in porous media, many nonlinear partial differential equations (NPDEs) encountered which greatly described the convection, diffusion and reaction process. To solve such types of nonlinear problems, a reliable and efficient technique is needed. In this article, the numerical solution of NPDEs encountered in porous media is derived. Here Jacobi collocation method is used to solve the considered problems which convert the NPDEs in systems of nonlinear algebraic equations that can be solved using Newton-Raphson method. The numerical results of some illustrative examples are reported to show the efficiency and high accuracy of the proposed approach. The comparison of the numerical results with the existing analytical results already reported in the literature and the error analysis for each example exhibited through graphs and tables confirms the exponential convergence rate of the proposed method.

Keywords: nonlinear porous media equation, shifted Jacobi polynomials, operational matrix, spectral collocation method

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Authors: Stephen O. Amaraihu

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This research investigated the effect of Computer Based Instruction on Students’ interest, achievement, and retention in Algebra in Abia State College of Education (Technical), Arochukwu. Three research questions and two hypotheses guided the study. Two instruments, Maths Achievement Test (MAT) and Maths Interest Inventory were employed, to test a population of three hundred and sixteen (316) NCE 1 students in algebra. It is expected that this research will lead to the improvement of students’ performance and enhance their interest and retention of basic algebraic concept. It was found that the majority of students in the college are not proficient in the use of ICT as a result of a lack of trained personnel. It was concluded that the state government was not ready to implement the usage of mathematics in Abia State College of Education. The paper recommends, amongst others, the employment of mathematics Lectures with competent skills in ICT and the training of lecturers of mathematics.

Keywords: achievement, computer based instruction, interest, retention

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Authors: Lavinia Ciungu

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In the last decades, developing algebras related to the logical foundations of quantum mechanics became a central topic of research. Generally known as quantum structures, these algebras serve as models for the formalism of quantum mechanics. In this work, we introduce the notion of quantum-Wajsberg algebras by redefining the quantum-MV algebras starting from involutive BE algebras. We give a characterization of quantum-Wajsberg algebras, investigate their properties, and show that, in general, quantum-Wajsberg algebras are not (commutative) quantum-B algebras. We also define the ∨-commutative quantum-Wajsberg algebras and study their properties. Furthermore, we prove that any Wajsberg algebra (bounded ∨-commutative BCK algebra) is a quantum-Wajsberg algebra, and we give a condition for a quantum-Wajsberg algebra to be a Wajsberg algebra. We prove that Wajsberg algebras are both quantum-Wajsberg algebras and commutative quantum-B algebras. We establish the connection between quantum-Wajsberg algebras and quantum-MV algebras, proving that the quantum-Wajsberg algebras are term equivalent to quantum-MV algebras. We show that, in general, the quantum-Wajsberg algebras are not commutative quantum-B algebras and if a quantum-Wajsberg algebra is self-distributive, then the corresponding quantum-MV algebra is an MV algebra. Our study could be a starting point for the development of other implicative counterparts of certain existing algebraic quantum structures.

Keywords: quantum-Wajsberg algebra, quantum-MV algebra, MV algebra, Wajsberg algebra, BE algebra, quantum-B algebra

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Authors: Olatawura O. Ladipo-Ajayi

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The concept of gender equality is not new, nor are the efforts and movements toward achieving this concept. The idea of gender equality originates from the early feminist movements of the 1880s and its subsequent waves, all fighting to promote gender rights and equality focused on varying aspects and groups. Nonetheless, the progress and achievement of gender equality are not progressing at similar rates across the world and groups. This uneven progress is often due to varying social, cultural, political, and economic factors- some of which underpin intersectional identities and influence the perceptions of gender and associated gender roles that create gender inequality. In assessing perceptions of gender and assigned roles or expectations that cause inequalities, intersectionality provides a framework to interrogate how these perceptions are molded and reinforced to create marginalization. Intersectionality is increasingly becoming a lens and approach to understanding better inequalities and oppression, gender rights and equality, the challenges towards its achievement, and how best to move forward in the fight for gender rights, inclusion, and equality. In light of this, this paper looks at intersectional representations of gender in the media within cultural/social contexts -particularly entertainment media- and how this influences perceptions of gender and impacts progress toward achieving gender equality and advocacy. Furthermore, the paper explores how various identities and, to an extent, personal experiences play a role in the perceptions of and representations of gender, as well as influence the development of policies that promote gender equality in general. Finally, the paper applies qualitative and auto-ethnographic research methods building on intersectional and social construction frameworks to analyze gender representation in media using a literature review of scholarly works, news items, and cultural/social sources like Nigerian movies. It concludes that media influences ideas and perceptions of gender, gender equality, and rights; there isn’t enough being done in the media in the global south in general to challenge the hegemonic patriarchal and binary concepts of gender. As such, the growth of feminism and the attainment of gender equality is slow, and the concepts are often misunderstood. There is a need to leverage media outlets to influence perceptions and start informed conversations on gender equality and feminism; build collective consciousness locally to improve advocacy for equal gender rights. Changing the gender narrative in everyday media, including entertainment media, is one way to influence public perceptions of gender, promote the concept of gender equality, and advocate for policies that support equality.

Keywords: gender equality, gender roles/socialization, intersectionality, representation of gender in media

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Authors: Mariana Calderón, Rocío Murad, Natalia Acevedo, Laura León, Juliana Fonseca, Maria de los Angeles Balaguera Villa

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Recently, different countries and international organizations have put on their agenda the elimination of violence against people with disabilities. This research aims to evaluate the social dimensions of sexual violence against people with disabilities, particularly those with psychosocial and cognitive, in Colombia. Results reveal that 55% of people with disabilities that are survivors of sexual violence are younger than 29 years and 20,4 are people with cognitive and psychosocial disabilities. Colombian regions with better social positions presented more cases of sexual violence against people with disabilities. There were found access barriers for health, education and employment among this population, and there was also found poor data quality. Despite Colombia having an important normative framework aimed at preventing and attending to gender-based violence, it does not take into account people with disabilities specific needs. Additionally, it was found an insufficient implementation and appropriation of these norms, negative attitudes, and in general, a lack of service adaptation according to the needs, identities and circumstances of people with disabilities. Furthermore, among the factors that are exposing people with disabilities to sexual violence, it was found that family members tend to be the main aggressors, there are deep gaps in the sex education received by people with disabilities, imaginaries and perceptions about their sexuality are both hypersexualizing and presenting them as asexual. On the other hand, among protective factors, there were found body self-knowledge and conscience, acknowledgment of their sexuality and their sexual and reproductive rights and access to sex ed. Although during the last few years, there has occurred a positive change toward social inclusion of people with disabilities, specifically through their role in the political agenda and the recognition of their rights. More work is needed in order to guarantee their sexual and reproductive rights, particularly for persons with psychosocial and cognitive disabilities. This research results showed the importance of transforming persisting negative imaginaries about their sexuality and also enforcing and promoting their autonomy. In this sense, it is important to acknowledge gaps and barriers faced by them and create strategies to encourage their social inclusion through education, employment, and skill development. Nevertheless, it is necessary to keep contributing new evidence of the social determinants of health that are influencing the occurrence of sexual violence. This research understands sexual violence against people with disabilities in a multidimensional manner and offers the following recommendations: 1- To foment public sensitization and understanding of disabilities. 2- To increase parents, caregivers and officers’ commitment to the prevention and reduction of sexual violence. 3- To focus on the needs, identities and circumstances of people with disabilities.

Keywords: disabilities, sexual and reproductive rights, sexual violence, prevention

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Authors: Sarika Siraj

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Nothing talks more about the identity of a place than its cultural heritage. More often than ever, it is the architecture of the place that embodies its cultural heritage. With these thoughts in mind, this paper looks closely into the present scene of earthen architecture of Bangladesh and the changes it has been going through due to modernity. Along with the gradual erasure of this sustainable practice, a loss of cultural identity can be observed in present times. This paper intends to examine the loss along with the reasons, taking the village of Maheshkhali, located in south east Bangladesh, as a case study for this research. Based on the empirical findings, this paper will contextualize sustainability as well as discuss western development as a creator of new cultural identities in eastern countries.

Keywords: cultural identity, sustainability, architecture, heritage

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Authors: Shirly Bar-Lev, Michal Morag

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Cults are usually thought of as suppressive organizations, where creativity is systematically stifled. Except for few scholars, creativity in cults remains an uncharted terrain (Boeri and Pressley, 2010). This paperfocuses on how cult members sought real and imaginary spaces to express themselves and even used their bodies as canvases on which to assert their individuality, resistance, devotion, pain, and anguish. We contend that cult members’ creativity paves their way out of the cult. This paper is part of a larger study into the experiences of former members of cults and cult-like NewReligiousMmovements (NRM). The research is based on in-depth interviews conducted with thirtyIsraeli men and women, aged 24 to 50, who either joined an NRM or were born into one. Their stories reveal that creativity is both emplaced and embedded in power relations. That is why Foucault’s idea of Heterotopia and Winnicott’s idea of the battle between True and False self canbenefit our understanding of how cult members creatively assert their autonomy over their bodies and thoughts while in the cult. Cults’ operate on a complex tension between submission and autonomy. On the one hand, they act as heterotopias byallowing for a ‘simultaneousmythic and real contestation of the space in which we live. Ascounter-hegemonic sites, they serve as‘the greatest reserve of theimagination’, to use Foucault’s words. Cults definitely possesselements of mystery, danger, and transgression where an alternative social ordering can emerge. On the other hand, cults are set up to format alternative identities. Often, the individuals who inhibit these spaces look for spiritual growth, self-reflection, and self-actualization. They might willingly relinquish autonomy over vast aspects of their lives in pursuit of self-improvement. In any case, cultsclaim the totality of their members’ identities and absolute commitment and compliance with the cult’s regimes. It, therefore, begs the question how the paradox between autonomy and submissioncan spur instances of creativity. How can cult members escape processes of performative regulation to assert their creative self? Both Foucault and Winnicott recognize the possibility of an authentic self – one that is spontaneous and creative. Both recognize that only the true self can feel real andmust never comply. Both note the disciplinary regimes that push the true self into hiding, as well as the social and psychological mechanisms that individuals develop to protect their true self. But while Foucault spoke of the power of critic as a way of salvaging the true self, Winnicott spoke of recognition and empathy - feeling known by others. Invitinga dialogue between the two theorists can yield a productive discussion on how cult members assert their ‘true self’ to cultivate a creative self within the confines of the cult.

Keywords: cults, creativity, heterotopia, true and false self

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Authors: Shabnam Dadparvar, Laijin Shen, Farzad Ravanbod

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Nowadays, the political phenomenon of terrorism is considered as an effective factor on political, social, and economic changes. It has replaced the recognized political phenomena such as revolutions, wars (total war among two or more political units with distinct identities in the form of national states), coups d’état, insurgencies and etc. and has challenged political life in all its levels (sub national, national, and international political groups). In this paper by using descriptive-analytical method, the authors try to explain the spread of this political phenomenon across the world, its definition and types, also analyze different approaches to understand it. The authors believe that the Logical-Rational approach is the best way to explain and understand this phenomenon.

Keywords: logical approach, psychological- social approach, religious approach, terrorism

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Authors: Mikhail Gritskevich, Sebastian Hohenstein

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The paper presents the results of a detailed assessment of several modern Reynolds Averaged Navier-Stokes (RANS) turbulence models for prediction of C3X vane film cooling at various injection regimes. Three models are considered, namely the Shear Stress Transport (SST) model, the modification of the SST model accounting for the streamlines curvature (SST-CC), and the Explicit Algebraic Reynolds Stress Model (EARSM). It is shown that all the considered models face with a problem in prediction of the adiabatic effectiveness in the vicinity of the cooling holes; however, accounting for the Reynolds stress anisotropy within the EARSM model noticeably increases the solution accuracy. On the other hand, further downstream all the models provide a reasonable agreement with the experimental data for the adiabatic effectiveness and among the considered models the most accurate results are obtained with the use EARMS.

Keywords: discrete holes film cooling, Reynolds Averaged Navier-Stokes (RANS), Reynolds stress tensor anisotropy, turbulent heat transfer

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Authors: Muhammad Luqman, Yusuf Kurniawan

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S-Boxes is one of the linear parts of the cryptographic algorithm. The existence of S-Box in the cryptographic algorithm is needed to maintain non-linearity of the algorithm. Nowadays, modern cryptographic algorithms use an S-Box as a part of algorithm process. Despite the fact that several cryptographic algorithms today reuse theoretically secure and carefully constructed S-Boxes, there is an evaluation characteristic that can measure security properties of S-Boxes and hence the corresponding primitives. Analysis of an S-Box usually is done using manual mathematics calculation. Several S-Boxes are presented as a Truth Table without any mathematical background algorithm. Then, it’s rather difficult to determine the strength of Truth Table S-Box without a mathematical algorithm. A comprehensive analysis should be applied to the Truth Table S-Box to determine the characteristic. Several important characteristics should be owned by the S-Boxes, they are Nonlinearity, Balancedness, Algebraic degree, LAT, DAT, differential delta uniformity, correlation immunity and global avalanche criterion. Then, a comprehensive tool will be present to automatically calculate the characteristics of S-Boxes and determine the strength of S-Box. Comprehensive analysis is done on a deterministic process to produce a sequence of S-Boxes characteristic and give advice for a better S-Box construction.

Keywords: cryptographic properties, Truth Table S-Boxes, S-Boxes characteristic, deterministic process

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Authors: Abdorreza Rabiee, Shahla Mohammad Hoseini Mirzaei

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The advantages of distributed generations (DGs) based on renewable energy sources (RESs) leads to high penetration level of DGs in distribution network. With incorporation of DGs in distribution systems, the system reliability and security, as well as voltage profile, is improved. However, the protection of such systems is still challenging. In this paper, at first, the related papers are reviewed and then a practical scheme is proposed for coordination of OCRs in distribution system with DGs. The coordination problem is formulated as a nonlinear programming (NLP) optimization problem with the object function of minimizing total operating time of OCRs. The proposed method is studied based on a simple test system. The optimization problem is solved by General Algebraic Modeling System (GAMS) to calculate the optimal time dial setting (TDS) and also pickup current setting of OCRs. The results show the effectiveness of the proposed method and its applicability.

Keywords: distributed generation, DG, distribution network, over current relay, OCR, protection coordination, pickup current, time dial setting, TDS

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Authors: Abdullah Eqal Al Mazrooei

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In this paper, a nonlinear dynamical system is presented. This system is a bilinear class. The bilinear systems are very important kind of nonlinear systems because they have many applications in real life. They are used in biology, chemistry, manufacturing, engineering, and economics where linear models are ineffective or inadequate. They have also been recently used to analyze and forecast weather conditions. Bilinear systems have three advantages: First, they define many problems which have a great applied importance. Second, they give us approximations to nonlinear systems. Thirdly, they have a rich geometric and algebraic structures, which promises to be a fruitful field of research for scientists and applications. The type of nonlinearity that is treated and analyzed consists of bilinear interaction between the states vectors and the system input. By using some properties of the tensor product, these systems can be transformed to linear systems. But, here we discuss the nonlinearity when the state vector is multiplied by itself. So, this model will be able to handle evolutions according to the Lotka-Volterra models or the Lorenz weather models, thus enabling a wider and more flexible application of such models. Here we apply by using an estimator to estimate temperatures. The results prove the efficiency of the proposed system.

Keywords: Lorenz models, nonlinear systems, nonlinear estimator, state-space model

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Authors: M. Tiachachat, M. Mihoubi

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The Bell polynomials are special polynomials in combinatorial analysis that have a wide range of applications in mathematics. They have interested many authors. The exponential partial Bell polynomials have been well reduced to some special combinatorial sequences. Numerous researchers had already been interested in the above polynomials, as evidenced by many articles in the literature. Inspired by this work, in this work, we propose a family of special polynomials named after the 2-successive partial Bell polynomials. Using the combinatorial approach, we prove the properties of these numbers, derive several identities, and discuss some special cases. This family includes well-known numbers and polynomials such as Stirling numbers, Bell numbers and polynomials, and so on. We investigate their properties by employing generating functions

Keywords: 2-associated r-Stirling numbers, the exponential partial Bell polynomials, generating function, combinatorial interpretation

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Authors: Mariana Faria Brito Francisquini

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Many thermal phenomena are present and play a substantial role in our daily lives. This presence makes the study of this area at both High School and University levels a very widely explored topic in the literature. However, a lot of important concepts to a meaningful understanding of the world are neglected at the expense of a traditional approach with senseless algebraic problems. In this work, we intend to show how the introduction of new technologies in the classroom, namely thermal cameras, can work in our favor to make a clearer understanding of many of these concepts, such as thermal conductivity. The use of thermal cameras in the classroom tends to diminish the everlasting abstractness in thermal phenomena as they enable us to visualize something that happens right before our eyes, yet we cannot see it. In our study, we will provide the same amount of heat to metallic cylindrical rods of the same length, but different materials in order to study the thermal conductivity of each one. In this sense, the thermal camera allows us to visualize the increase in temperature along each rod in real time enabling us to infer how heat is being transferred from one part of the rod to another. Therefore, we intend to show how this approach can contribute to the exposure of students to more enriching, intellectually prolific, scenarios than those provided by traditional approaches.

Keywords: teaching physics, thermal cameras, thermal conductivity, thermal physics

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Authors: Amrita Sen

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In the face of a growing insurgent movement and the perceived failure of the state and the market towards sustainable resource management, a range of decentralized forest management policies was formulated in the last two decades, which recognized the need for community representations within the statutory methods of forest management. The recognition conceded on the virtues of ecological sustainability and traditional environmental knowledge, which were considered to be the principal repositories of the forest dependent communities. The present study, in the light of empirical insights, reflects on the contemporary disjunctions between the preconceived communitarian ethic in environmentalism and the lived reality of forest based life-worlds. Many of the popular as well as dominant ideologies, which have historically shaped the conceptual and theoretical understanding of sociology, needs further perusal in the context of the emerging contours of empirical knowledge, which lends opportunities for substantive reworking and analysis. The image of the community appears to be one of those concepts, an identity which has for long defined perspectives and processes associated with people living together harmoniously in small physical spaces. Through an ethnographic account of the implementation of Joint Forest Management (JFM) in a forest fringe village in Sundarban, the study explores the ways in which the idea of ‘community’ gets transformed through the process of state-making, rendering the necessity of its departure from the standard, conventional definition of homogeneity and internal equity. The study necessitates an attention towards the anthropology of micro-politics, disaggregating an essentially constructivist anthropology of ‘collective identities’, which can render the visibility of political mobilizations plausible within the seemingly culturalist production of communities. The two critical questions that the paper seeks to ask in this context are: how the ‘local’ is constituted within community based conservation practices? Within the efforts of collaborative forest management, how accurately does the depiction of ‘indigenous environmental knowledge’, subscribe to its role of sustainable conservation practices? Reflecting on the execution of JFM in Sundarban, the study critically explores the ways in which the state ceases to be ‘trans-national’ and interacts with the rural life-worlds through its local factions. Simultaneously, the study attempts to articulate the scope of constructing a competing representation of community, shaped by increasing political negotiations and bureaucratic alignments which strains against the usual preoccupations with tradition primordiality and non material culture as well as the amorous construction of indigeneity.

Keywords: community, environmentalism, JFM, state-making, identities, indigenous

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Authors: Margarida Franca

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The influence of the ‘cultural turn’ movement and the consequent deconstruction of scientific thought allowed geography and other social sciences to open or deepen their studies based on the analysis of multiple identities, on singularities, on what is particular or what marks the difference between individuals. In the context of postmodernity, the geography of religion has gained a favorable scientific, thematic and methodological focus for the qualitative and subjective interpretation of various religious identities, sacred places, territories of belonging, religious communities, among others. In the context of ‘late modernity’ or ‘net modernity’, sacred places and the definition of a network of sacred territories allow believers to attain the ‘ontological security’. The integration on a religious group or a local community, particularly a religious community, allows human beings to achieve a sense of belonging, familiarity or solidarity and to overcome, in part, some of the risks or fears that society has discovered. The importance of sacred places comes not only from their inherent characteristics (eg transcendent, mystical and mythical, respect, intimacy and abnegation), but also from the possibility of adding and integrating members of the same community, creating bonds of belonging, reference and individual and collective memory. In addition, the formation of different networks of sacred places, with multiple scales and dimensions, allows the human being to identify and structure his times and spaces of daily life. Thus, each individual, due to his unique identity and life and religious paths, creates his own network of sacred places. The territorial expression of religious identity allows to draw a variable and unique geography of sacred places. Through the case study of the practicing Catholic population in the diocese of Coimbra (Portugal), the aim is to study the territorial expression of the religious identity of the different local communities of this city. Through a survey of six parishes in the city, we sought to identify which factors, qualitative or not, define the different territorial expressions on a local, national and international scale, with emphasis on the socioeconomic profile of the population, the religious path of the believers, the religious group they belong to and the external interferences, religious or not. The analysis of these factors allows us to categorize the communities of the city of Coimbra and, for each typology or category, to identify the specific elements that unite the believers to the sacred places, the networks and religious territories that structure the religious practice and experience and also the non-representational landscape that unifies and creates memory. We conclude that an apparently homogeneous group, the Catholic community, incorporates multitemporalities and multiterritorialities that are necessary to understand the history and geography of a whole country and of the Catholic communities in particular.

Keywords: geography of religion, sacred places, territoriality, Catholic Church

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Authors: Mahshid Arabi

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In recent years, remarkable advancements in the fields of artificial intelligence and machine learning have led to the development of facial recognition technologies. These technologies are now employed in a wide range of applications, including security, surveillance, healthcare, and education. In the field of education, the identification of university entrance exam candidates has been one of the fundamental challenges. Traditional methods such as using ID cards and handwritten signatures are not only inefficient and prone to fraud but also susceptible to errors. In this context, utilizing advanced technologies like facial recognition can be an effective and efficient solution to increase the accuracy and reliability of identity verification in entrance exams. This article examines the use of FaceMatch software for recognizing the faces of university entrance exam candidates in Iran. The main objective of this research is to evaluate the efficiency and accuracy of FaceMatch software in identifying university entrance exam candidates to prevent fraud and ensure the authenticity of individuals' identities. Additionally, this research investigates the advantages and challenges of using this technology in Iran's educational systems. This research was conducted using an experimental method and random sampling. In this study, 1000 university entrance exam candidates in Iran were selected as samples. The facial images of these candidates were processed and analyzed using FaceMatch software. The software's accuracy and efficiency were evaluated using various metrics, including accuracy rate, error rate, and processing time. The research results indicated that FaceMatch software could accurately identify candidates with a precision of 98.5%. The software's error rate was less than 1.5%, demonstrating its high efficiency in facial recognition. Additionally, the average processing time for each candidate's image was less than 2 seconds, indicating the software's high efficiency. Statistical evaluation of the results using precise statistical tests, including analysis of variance (ANOVA) and t-test, showed that the observed differences were significant, and the software's accuracy in identity verification is high. The findings of this research suggest that FaceMatch software can be effectively used as a tool for identifying university entrance exam candidates in Iran. This technology not only enhances security and prevents fraud but also simplifies and streamlines the exam administration process. However, challenges such as preserving candidates' privacy and the costs of implementation must also be considered. The use of facial recognition technology with FaceMatch software in Iran's educational systems can be an effective solution for preventing fraud and ensuring the authenticity of university entrance exam candidates' identities. Given the promising results of this research, it is recommended that this technology be more widely implemented and utilized in the country's educational systems.

Keywords: facial recognition, FaceMatch software, Iran, university entrance exam

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Authors: Mária Ildikó Farkas

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Kokugaku of the Edo period can be seen as a key factor of defining cultural (and national) identity in the 18th and early 19th century based on Japanese cultural heritage. Kokugaku focused on Japanese classics, on exploring, studying and reviving (or even inventing) ancient Japanese language, literature, myths, history and also political ideology. ‘Japanese culture’ as such was distinguished from Chinese (and all other) cultures, ‘Japanese identity’ was thus defined. Meiji scholars used kokugaku conceptions of Japan to construct a modern national identity based on the premodern and culturalist conceptions of community. The Japanese cultural movement of the 18-19th centuries (kokugaku) of defining cultural and national identity before modernization can be compared not to the development of Western Europe (where national identity strongly attached to modern nation states) or other parts of Asia (where these emerged after the Western colonization), but rather with the ‘national awakening’ movements of the peoples of East Central Europe, a comparison which have not been dealt with in the secondary literature yet. The role of a common language, culture, history and myths in the process of defining cultural identity – following mainly Miroslav Hroch’s comparative and interdisciplinary theory of national development – can be examined compared to the movements of defining identity of the peoples of East Central Europe (18th-19th c). In the shadow of a cultural and/or political ‘monolith’ (China for Japan and Germany for Central Europe), before modernity, ethnic groups or communities started to evolve their own identities with cultural movements focusing on their own language and culture, thus creating their cultural identity, and in the end, a new sense of community, the nation. Comparing actual texts (‘narratives’) of the kokugaku scholars and Central European writers of the nation building period (18th and early 19th centuries) can reveal the similarities of the discourses of deliberate searches for identity. Similar motives of argument can be identified in these narratives: ‘language’ as the primary bearer of collective identity, the role of language in culture, ‘culture’ as the main common attribute of the community; and similar aspirations to explore, search and develop native language, ‘genuine’ culture, ‘original’ traditions. This comparative research offering ‘development patterns’ for interpretation can help us understand processes that may be ambiguously considered ‘backward’ or even ‘deleterious’ (e.g. cultural nationalism) or just ‘unique’. ‘Cultural identity’ played a very important role in the formation of national identity during modernization especially in the case of non-Western communities, who had to face the danger of losing their identities in the course of ‘Westernization’ accompanying modernization.

Keywords: cultural identity, Japanese modernization, kokugaku, national awakening

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Authors: Chidella Upendra

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Today, democracies too have become the grounds of "potentialities of violence" corrupting the culture of collective life. If all the violence 'to be referred to here as normalized conditions of exception' is caused by our inability to 'equality', then, it may not be possible to get rid of the 'murkiness of everyday life'. It is not the end of the road for political imagination. The uncertainty is about grounding it in the human condition. Combining both the ideas of political equality [Dissensus] and inoperative community [here, a new political community - (being-in-common)], we can think of a deep political contingency yet stick to the conviction of political equality, irrespective of its social possibility. Here, potentiality is retained amid reluctance for the same. The paper sticks to this claim but also sees the supposition of a collective life of 'anyone with anyone' leading to an eternal fix - to what can be stated as the obsession of identities. Our belief is resolving this fix is only a theoretical speculation but not a practical possibility. Real diversity is really terrifying to embrace and live with, as terrifying as the singularity itself.

Keywords: pranav saxenapolitical community, violence, exception, normality, everyday

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Authors: Joon-Hoon Park

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The fundamental concept of observability is important in both theoretical and practical points of modern control systems. In modern control theory, a control system has criteria for determining the design solution exists for the system parameters and design objectives. The idea of observability relates to the condition of observing or estimating the state variables from the output variables that is generally measurable. To design closed-loop control system, the practical problems of implementing the feedback of the state variables must be considered and implementing state feedback control problem has been existed in this case. All the state variables are not available, so it is requisite to design and implement an observer that will estimate the state variables form the output parameters. However sometimes unknown inputs are presented in control systems as practical cases. This paper presents a design method and algorithm for observer of control system with unknown input parameters based on Rationalized Haar transform. The proposed method is more advantageous than the other numerical method.

Keywords: orthogonal functions, rationalized Haar transforms, control system observer, algebraic method

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Authors: Nina Philipova

Abstract:

The influence of the geometric parameters of trapezoidal labyrinth channel on the pressure losses along the labyrinth length is investigated in this work. The impact of the dentate height is studied at fixed values of the dentate angle and the dentate spacing. The objective of the work presented in this paper is to derive a mathematical model of the pressure losses along the labyrinth length depending on the dentate height. The numerical simulations of the water flow movement are performed by using Commercial codes ANSYS GAMBIT and FLUENT. Dripper inlet pressure is set up to be 1 bar. As a result, the mathematical model of the pressure losses is determined as a second-order polynomial by means Commercial code STATISTIKA. Bi-objective optimization is performed by using the mean algebraic function of utility. The optimum value of the dentate height is defined at fixed values of the dentate angle and the dentate spacing. The derived model of the pressure losses and the optimum value of the dentate height are used as a basis for a more successful emitter design.

Keywords: drip irrigation, labyrinth channel hydrodynamics, numerical simulations, Reynolds stress model

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Authors: Michael Shulman, Paige North, Benedikt Ahrens, Dmitris Tsementzis

Abstract:

The Univalence Principle is the statement that equivalent mathematical structures are indistinguishable. We prove a general version of this principle that applies to all set-based, categorical, and higher-categorical structures defined in a non-algebraic and space-based style, as well as models of higher-order theories such as topological spaces. In particular, we formulate a general definition of indiscernibility for objects of any such structure, and a corresponding univalence condition that generalizes Rezk’s completeness condition for Segal spaces and ensures that all equivalences of structures are levelwise equivalences. Our work builds on Makkai’s First-Order Logic with Dependent Sorts, but is expressed in Voevodsky’s Univalent Foundations (UF), extending previous work on the Structure Identity Principle and univalent categories in UF. This enables indistinguishability to be expressed simply as identification, and yields a formal theory that is interpretable in classical homotopy theory, but also in other higher topos models. It follows that Univalent Foundations is a fully equivalence-invariant foundation for higher-categorical mathematics, as intended by Voevodsky.

Keywords: category theory, higher structures, inverse category, univalence

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Authors: Maryam Ghasemi

Abstract:

One of the most significant components that provide comfort and protection is having a shelter called a house. Even if components and regions are changed or restored to meet new functions, the house's identity must be preserved. In the contemporary era, houses are increasingly being built regardless of cultural identity. This misunderstanding caused a sense of unease. This study analyses archaic and modern architecture to find semiotic areas and qualities in the latter, using the former as a reference. This study's technique used an exploratory assessment of architectural components from both periods. The Abbasid residence and the Ekbatan architectural complex were used as case studies. The identity of Iranian architecture does not correlate with current buildings. The other part is privacy, which is a missing link between traditional and modern Iranian architecture because it is directly related to the identities of homes based on the cultures of their residents.

Keywords: housing, traditional, contemporary, privacy, semiotic

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Authors: Yousef Bakhbakhi

Abstract:

Crystallization with supercritical fluids (SCFs), as a developed technology to produce particles of micron and sub-micron size with narrow size distribution, has found appreciable importance as an environmentally friendly technology. Particle synthesis using SCFs can be achieved employing a number of special processes involving solvent and antisolvent mechanisms. In this study, the compressed antisolvent (PCA) process is utilized as a model to analyze the theoretical complexity of crystallization with supercritical fluids. The population balance approach has proven to be an effectual technique to simulate and predict the particle size and size distribution. The nucleation and growth mechanisms of the particles formation in the PCA process is investigated using the population balance equation, which describes the evolution of the particle through coalescence and breakup levels with time. The employed mathematical population balance model contains a set of the partial differential equation with algebraic constraints, which demands a rigorous numerical approach. The combined Collocation and Galerkin finite element method are proposed as a high-resolution technique to solve the dynamics of the PCA process.

Keywords: particle formation, particle size and size distribution, PCA, supercritical carbon dioxide

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Authors: Ashwani Kumar Aggarwal

Abstract:

NIR Light is non-ionizing and can pass easily through living tissues such as breast without any harmful effects. Therefore, use of NIR light for imaging the biological tissue and to quantify its optical properties is a good choice over other invasive methods. Optical tomography involves two steps. One is the forward problem and the other is the reconstruction problem. The forward problem consists of finding the measurements of transmitted light through the tissue from source to detector, given the spatial distribution of absorption and scattering properties. The second step is the reconstruction problem. In X-ray tomography, there is standard method for reconstruction called filtered back projection method or the algebraic reconstruction methods. But this method cannot be applied as such, in optical tomography due to highly scattering nature of biological tissue. A hybrid algorithm for reconstruction has been implemented in this work which takes into account the highly scattered path taken by photons while back projecting the forward data obtained during Monte Carlo simulation. The reconstructed image suffers from blurring due to point spread function. This blurred reconstructed image has been enhanced using a digital filter which is optimal in mean square sense.

Keywords: least-squares optimization, filtering, tomography, laser interaction, light scattering

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Authors: Bitopi Dutta

Abstract:

This paper attempts to understand the constructs of binaries while taking into account the politics of the body. It delves into how these constructs get fashioned and recreated while performing the same across normative and non-normative discourses. While it may be almost mundane and commonplace to see the performance of body within binary constructs across the normative discourses, this is to a great extent also true for those queer discourses that have challenged the conventional/normative. With a queer feminist perspective, the paper challenges this performativity while simultaneously engaging with the subtle nuances of blurring the borders of gender markers. The problem with this polarization within binary constructs is that there remains a tendency to reinstate patriarchy within queerness. To substantiate this argument further, the paper will draw from narratives and accounts of identities with alternate sexualities and genders. The paper concludes with problematising this hegemony within queer discourses locating the question of acceptance and visibility of fluidities.

Keywords: binary, body, gender, identity, performativity, queer

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Authors: Yin Ruoxi

Abstract:

Buddhism, originating in ancient India, saw its most profound development in China. Similarly, Buddhist architecture, though derived from Indian prototypes, evolved distinctively as the religion reached new regions. The interaction with local traditions led to architectural forms that mirrored the unique cultural and ethnic identities of each area. Before the Sui and Tang dynasties, three prominent styles could be observed: Indian, Central Asian, and those of the northern Central Plains. This paper aims to analyze the spatial distribution of temples and the evolution of temple layouts， which means the general layout and floor plans in architecture study, with the innovation of the Pagoda in China. Through examining these transformations and their underlying causes, this paper seeks to unravel the early stages of Buddhism's adaptation to Chinese cultural contexts before the Sui dynasty.

Keywords: Buddhist architecture, early Buddhism in China, change in Buddhism with developing in architecture, temple, pagoda

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