Search results for: growth stimulator

Authors: Oduntan Kemi Olalekan

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Nigeria as the largest economy in Africa is still in its developing stage as its economy cannot be termed developed; it is still in search of economic policy that will positively affect the life of majority of her citizenry. Several policies have been employed to take care of the situation prominent among which is Structural Adjustment Programme (SAP) of Babangida Administration but it could not rescue the economy. Non-interest Banking otherwise known as Islamic Banking has been suggested as a means of developing Nigerian economy as it will enable more Nigerian have access to working capital and contribute positively to the growth of her economy. The paper investigated the level of Nigeria economic development and gave an overview of economic policies since independence, traced the genesis of non-interest banking in Nigeria and made recommendations on the adoption of the policy as an antidote to Nigeria economic development.

Keywords: economic development, Nigerian economy, non-interest banking, working capital, Islamic banking.

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Authors: El Harbi Sana, Ben Afia Neila

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In this paper, we study the relationship between the military effort and pollution. A distinction is drawn between the direct and indirect impact of the military effort (military expenditure and military personnel) on pollution, which operates through the impact of military effort on per capita income and the resultant impact of income on pollution. Using the data of 121 countries covering the period 1980–2011, both the direct and indirect impacts of military effort on air pollution emissions are estimated. Our results show that the military effort is estimated to have a positive direct impact on per capita emissions. Indirect effects are found to be positive, the total effect of military effort on emissions is positive for all countries.

Keywords: military endeavor, income, emissions of CO2, panel data

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Authors: Zhao Haoyue

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Due to the combined effects of climate change, urban expansion, and population growth, various environmental issues, such as urban heat islands and pollution, arise. Therefore, reliable information on urban environmental climate is needed to address and mitigate the negative effects. The emergence of urban climate maps provides a practical basis for urban climate regulation and improvement. This article takes Shapingba District, Chongqing City, as an example to study the construction method of urban thermal environment climate maps based on GIS spatial analysis technology. The thermal load, ventilation potential analysis map, and thermal environment comprehensive analysis map were obtained. Based on the classification criteria obtained from the climate map, corresponding protection and planning mitigation measures have been proposed.

Keywords: urban climate, GIS, heat island analysis, urban thermal environment

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Authors: Md. Aftabuzzaman, Md. Kamruzzaman

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Road-related expenditure and building construction activity are two significant drivers of the Victorian economy. This paper investigates the relationship between building construction activity and road-related expenditure. Data for construction activities were collected from Victorian Building Authority, and road-related expenditure data were explored by the Bureau of Infrastructure and Transport Research Economics. The trend between these two sectors was compared. The analysis found a strong relationship between road-related expenditure and the volume of construction activity, i.e., the more construction activities, the greater the requirement of road-related expenditure, or vice-versa. The road-related expenditure has a two-year lag period, suggesting that the road sector requires two years to respond to the growth in the building sector.

Keywords: building construction activity, infrastructure, road expenditure, Victorian Building Authority

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Authors: T. Niracharapa, W. Angkana

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Since information and communication technology (ICT) plays a critical role in enhancing national competitiveness, it is a driving force for social and economic growth and prosperity. The ASEAN Economic Community (AEC) will integrate this into ASEAN countries as a new mechanism and a measure that will improve economic performance as a global economy. Government policies may support or impede such harmonization. This study was to investigate, analyze the status of Thai IT entrepreneurs and define key strategies to enhance their competitive advantage. Data were collected based on in-depth interviews, questionnaires, focus groups, seminars and fieldwork on information technology excluding communication. SWOT was used as a tool to analyze the study. The results of this study can be used to enable the government to guide policy, measures and strategies for creating a competitive advantage for Thailand’s IT entrepreneurs in the global market.

Keywords: AEC, ASEAN, competitive advantage, IT entrepreneurs

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Authors: A. A. Hussen, I. N. Jleta

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Micro-electromechanical system (MEMS) accelerometers and gyroscopes are suitable for the inertial navigation system (INS) of many applications due to the low price, small dimensions and light weight. The main disadvantage in a comparison with classic sensors is a worse long term stability. The estimation accuracy is mostly affected by the time-dependent growth of inertial sensor errors, especially the stochastic errors. In order to eliminate negative effect of these random errors, they must be accurately modeled. Where the key is the successful implementation that depends on how well the noise statistics of the inertial sensors is selected. In this paper, the Allan variance technique will be used in modeling the stochastic errors of the inertial sensors. By performing a simple operation on the entire length of data, a characteristic curve is obtained whose inspection provides a systematic characterization of various random errors contained in the inertial-sensor output data.

Keywords: Allan variance, accelerometer, gyroscope, stochastic errors

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Authors: El Asnaoui Khalid, Chawki Youness, Aksasse Brahim, Ouanan Mohammed

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In these recent decades, the important and fast growth in the development and demand of multimedia products is contributing to an insufficient in the bandwidth of device and network storage memory. Consequently, the theory of data compression becomes more significant for reducing the data redundancy in order to save more transfer and storage of data. In this context, this paper addresses the problem of the lossless and the near-lossless compression of images. This proposed method is based on Block SVD Power Method that overcomes the disadvantages of Matlab's SVD function. The experimental results show that the proposed algorithm has a better compression performance compared with the existing compression algorithms that use the Matlab's SVD function. In addition, the proposed approach is simple and can provide different degrees of error resilience, which gives, in a short execution time, a better image compression.

Keywords: image compression, SVD, block SVD power method, lossless compression, near lossless

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Authors: Asish O. Mathew, Lewlyn L. R. Rodrigues

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The organizations in the knowledge economy era have recognized the importance of building knowledge assets for sustainable growth and development. In comparison to other industries, Information Technology (IT) enterprises, holds an edge in developing an effective Knowledge Management (KM) program, thanks to their in-house technological abilities. This paper tries to study the various knowledge-based incentive programs and its effect on Knowledge Sharing and Learning in the context of the Indian IT sector. A conceptual model is developed linking KM incentives, knowledge sharing, and learning. A questionnaire study is conducted to collect primary data from the knowledge workers of the IT organizations located in India. The data was analysed using Structural Equation Modeling using Partial Least Square method. The results show a strong influence of knowledge management incentives on knowledge sharing and an indirect influence on learning.

Keywords: knowledge management, knowledge management incentives, knowledge sharing, learning

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Authors: Mohammed Raza Mehdi, Kamran Ahmed

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Mega-city Karachi has numerous unplanned slum areas and squatter settlements with irregular growth of building structures. Due to weak development policy and lack of development control, such settlements are increasing at a rapid pace. Mapping such areas for planning and infrastructure development requires an integrated approach of socio-spatial and technological tools. Therefore in this study, an attempt is made to create GIS information layers on complex inbound built-up areas of slums at the coastal belt of Karachi by using a stereo pair of satellite images. The outcome expected is technological application to aid planning institutions for crisis management and infrastructure development in irregularly developed slum areas of Karachi, Pakistan.

Keywords: slum, satellite imageries, GIS, Karachi, Pakistan

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Authors: Tajudeen Yusuf

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Arabic language and its instruction occupy a prominent status in the contemporary world, especially in academic and research institutions. Arabic, like other international languages, consolidates understanding among people of different nations and societies. It is a promising medium of sharing thoughts and feelings. As a means of communication and interaction, the language has gained its outstanding status since ancient times, especially because of the relationship it maintains with Islam and its heritage. Adding to its importance is the rapid growth and advancement of Science and Technology in the contemporary Era which has eventually made communication between human societies all over the world inevitable. Despite, the Arabic language still experiences many challenges especially in some area such as irrelevant textbooks and other teaching materials, old versions of teaching methods and inadequate teachers who professionally trained. Eventually, these have resulted in difficulties in the teaching and learning of the language. Therefore, urgent and necessary measures to enhance the teaching and learning of Arabic language within and outside Arab countries are therefore needed to be taken.

Keywords: Arabic, language, challenges, modern era

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Authors: Ilirian Laçi, Alketa Spahiu

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Modality of treatment in hepatocellular carcinoma (HCC) patients depends on the stage of the disease. The Barcelona Clinic Liver Cancer Classification (BCLC) is the preferred staging system. There are many patients initially present with intermediate-stage disease. For these patients, transarterial chemoembolization (TACE) is the treatment of choice. The differences in individual factors that are not captured by the BCLC framework, such as the tumor growth pattern, degree of hypervascularity, and vascular supply, complicate further evaluation of these patients. Because of these differences, not all patients benefit equally from TACE. Several tools have been devised to aid the decision-making process, which have shown promising initial results but have failed external evaluation and have not been translated to the clinic aspects. Criteria for treatment decisions in daily clinical practice are needed in all stages of the disease.

Keywords: hepatocellular carcinoma, transarterial chemoembolization, TACE, liver

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Authors: K. M. Etmimi, A. A. Sghayer, A. M. Gsiea, A. M. Abutruma

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Relatively few chemical species can be incorporated into diamond during CVD growth, and until recently the uptake of oxygen was thought to be low perhaps as a consequence of a short surface residence time. Within the literature, there is speculation regarding spectroscopic evidence for O in diamond, but no direct evidence. For example, the N3 and OK1 EPR centres have been tentatively assigned models made up from complexes of substitutional N and substitutional oxygen. In this study, we report density-functional calculations regarding the stability, electronic structures, geometry and hyperfine interaction of substitutional oxygen in diamond and show that the C2v, S=1 configuration very slightly lower in energy than the other configurations (C3v, Td, and C2v with S=0). The electronic structure of O in diamond generally gives rise to two defect-related energy states in the band gap one a non-degenerate a1 state lying near the middle of the energy gap and the other a threefold-degenerate t2 state located close to the conduction band edges. The anti-bonding a1 and t2 states will be occupied by one to three electrons for O+, O and O− respectively.

Keywords: DFT, oxygen, diamond, hyperfine

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Authors: Mojtaba Borhani

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By employing the unique characteristics of a region, its economy, climate, geography, and culture, rural communities can create distinctive products. This approach not only boosts economic opportunities but also promotes sustainable growth and preserves cultural heritage. A strategic focus on branding and intellectual property (IP) is essential. By developing strong brands, rural areas can differentiate their products, increase their market value, and build consumer loyalty. Moreover, IP protection safeguards the creative and innovative output of rural communities, incentivizing further development. Rural branding can serve as a cornerstone for community empowerment. It can help to prevent rural exodus by providing economic incentives and a strong sense of place. Additionally, by protecting traditional knowledge and cultural expressions, branding contributes to the long-term sustainability of rural livelihoods.

Keywords: intellectual property, regional branding, sustainable development, rural economy

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Authors: Jana Andzane, Gunta Kunakova, Margarita Baitimirova, Mikelis Marnauza, Floriana Lombardi, Donats Erts

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Bismuth selenide (Bi₂Se₃) is known as a narrow band gap semiconductor with pronounced thermoelectric (TE) and topological insulator (TI) properties. Unique TI properties offer exciting possibilities for fundamental research as observing the exciton condensate and Majorana fermions, as well as practical application in spintronic and quantum information. In turn, TE properties of this material can be applied for wide range of thermoelectric applications, as well as for broadband photodetectors and near-infrared sensors. Nanostructuring of this material results in improvement of TI properties due to suppression of the bulk conductivity, and enhancement of TE properties because of increased phonon scattering at the nanoscale grains and interfaces. Regarding TE properties, crystallographic growth direction, as well as orientation of the nanostructures relative to the growth substrate, play significant role in improvement of TE performance of nanostructured material. For instance, Bi₂Se₃ layers consisting of randomly oriented nanostructures and/or of combination of them with planar nanostructures show significantly enhanced in comparison with bulk and only planar Bi₂Se₃ nanostructures TE properties. In this work, a catalyst-free vapour-solid deposition technique was applied for controlled obtaining of different types of Bi₂Se₃ nanostructures and continuous nanostructured layers for targeted applications. For example, separated Bi₂Se₃ nanoplates, nanobelts and nanowires can be used for investigations of TI properties; consisting from merged planar and/or randomly oriented nanostructures Bi₂Se₃ layers are useful for applications in heat-to-power conversion devices and infrared detectors. The vapour-solid deposition was carried out using quartz tube furnace (MTI Corp), equipped with an inert gas supply and pressure/temperature control system. Bi₂Se₃ nanostructures/nanostructured layers of desired type were obtained by adjustment of synthesis parameters (process temperature, deposition time, pressure, carrier gas flow) and selection of deposition substrate (glass, quartz, mica, indium-tin-oxide, graphene and carbon nanotubes). Morphology, structure and composition of obtained Bi₂Se₃ nanostructures and nanostructured layers were inspected using SEM, AFM, EDX and HRTEM techniques, as well as home-build experimental setup for thermoelectric measurements. It was found that introducing of temporary carrier gas flow into the process tube during the synthesis and deposition substrate choice significantly influence nanostructures formation mechanism. Electrical, thermoelectric, and topological insulator properties of different types of deposited Bi₂Se₃ nanostructures and nanostructured coatings are characterized as a function of thickness and discussed.

Keywords: bismuth seleinde, nanostructures, topological insulator, vapour-solid deposition

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Authors: Boudjedra Abderrahim, Toumi Salah, Boutalbi Mostefa, Frihi Mohammed

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Nowadays, using the advancement of technology in semiconductor device fabrication, many transistors can be integrated to a single chip (VLSI). Although the growth chip density potentially eases systems-on-chip (SoCs) integrating thousands of processing element (PE) such as memory, processor, interfaces cores, system complexity, high-performance interconnect and scalable on-chip communication architecture become most challenges for many digital and embedded system designers. Networks-on-chip (NoCs) becomes a new paradigm that makes possible integrating heterogeneous devices and allows many communication constraints and performances. In this paper, we are interested for good performance and low area for implementation and a behavioral modeling of network on chip mesh topology design using VHDL hardware description language with performance evaluation and FPGA implementation results.

Keywords: design, implementation, communication system, network on chip, VHDL

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Authors: Lovepreet Kaur Dhugga, Dwijendra P. Singh

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Calcium copper titanate (CCTO) was synthesized via the sol-gel auto-combustion method. The precursor was calcined at 800°C and 1000°C for 6 hours providing brown-coloured powders, which were pelletized and sintered at 1000°C for 12 hrs to determine their dielectric behaviour in the frequency range (100Hz-10MHz) at room temperature. The dielectric constant(εr) and loss tangent (tanδ) has been found to be ~ 6153 and 0.5 for 800°C and ~ 5504 and 0.2 for 1000°C respectively, at frequency 1kHz. Microstructure study revealed maximum grain growth occurs in sample calcined at 800°C, responsible for its high dielectric constant. Phase identification of CaCu₃Ti₄O₁₂ has been carried out through X-ray diffraction. It can be used in various electronic applications as it shows large εᵣ and low tanδ values over a wide frequency spectrum, including energy storage devices, microwave shielding, and sensors.

Keywords: calcium copper titanate, dielectric behaviour, microstructure, X-ray diffraction

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Authors: Sakshi Batra, Suresh Gupta, Pratik Pande, Navneet Kaur, Lovdeep Kaur

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The objective of this study is removal of Methylene blue dye or reactive orange-16 from industrial waste water or from soil using bioremediation technique. As huge amount of dyes are releasing from textile industry in water and soil environment during dyeing process. In this study, we focused on removal of Methylene blue dye and Reactive orange dye from industrial soil at different initial concentration of dye. An experiment study was carried out at methylene blue dye or Reactive orange-16 dye at varying concentration of both the dye as 50 ppm, 100ppm, 200 ppm, 300 ppm and 400 ppm. Maximum removal is obtained at 16-20 hours Experiments are carried out for pH, Temperature and MSM composition. The final concentration has been observed by UV-VIS. The two species has been isolated from the Industrial effluent. Finally the product analysis has been done by GC-MS.

Keywords: bioremediation, cultural growth, dyes, environment

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Authors: Gani Pllana, Sadete Pllana, Albulena Pllana Breznica

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The history of appearance and development of technical fields in our country sheds light on the relationships they have entered into with social factors indicating what kinds of factors have prevailed in their appearance and development. Thus, for instance, at the end of the 19th century, a number of knowledge fields were stipulated by political factors, cultural and linguistic factors that are inextricably linked to our nation's efforts to arouse national consciousness through the growth of educational and cultural level of the people. Some sciences, through their fundamental special fields probably would be one of those factors that would accomplish this objective. Other factors were the opening of schools and the drafting of relevant textbooks thereby their accomplishment is to be achieved by means of written language. Therefore the first fundamental knowledge fields were embodied with them, such as mathematics, linguistics, geography.

Keywords: Albanian language, development of terminology, standardization of terminology, technical fields

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Authors: Irem Ela Yildizeli

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Advertising today has become an indispensable phenomenon both for businesses and consumers. Due to the conditions of rapid changes in the market and growth of competitiveness, the success of many of firms that produce similar merchandise depends largely on how professionally and effective they use marketing communication elements which also must have some sense of shared values between the message provider and the receiver within cultural and global trend. This paper demonstrates how consumer behaviour and communication through cultural values evaluate advertising styles. Using samples of award-winning ads from both author's and other professional's creative works, the study reveals a significant correlation between the cultural elements and advertisement reception for language and cultural norms respectively. The findings of this study draw attention to the change of communication in the beginning of the 21st century which has shaped a new style of Participatory and Experience Design in advertising.

Keywords: advertising, advertising style, culture, experience design, participatory design

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Authors: Ghulam Nabi Naz

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After independence, the popular belief that Gandhian will not indulge in corruption got a setback, post-independence setup paved the way for heavy corruption. The menace which would have dealt with strong legal provisions has become a way of life of Indian society. Corruption is recognized as the single biggest problem facing the country today. It undermines democracy and rule of law, violates human rights, distorts market and corrodes the moral fibre of people. The paper discusses the causes and possible remedial measures of corruption and response of people in Indian society. It emphasizes the factors which provide fertile ground for growth of corruption like, degradation of moral values, absence of a strong anti-corruption law and its effective enforcement, accountability, consistency and a defective system of fighting elections. The paper also highlights the reforms necessary for fighting corruption in India.

Keywords: embezzlement, colonial, licence Raj, good governance, misappropriation, Sangh ideologue, Anna movement

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Authors: Sahar Shahsavaripour Ghazanfarpour

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As our daily life depends on quality of built services by systems and using devices in our environment; so education and model of software′s quality will be so important. By daily growth in software′s systems and using them so much, progressing process and requirements′ evaluation in primary level of progress especially architecture level in software get more important. Modern driver architecture changes an in dependent model of a level into some specific models that their purpose is reducing number of software changes into an executive model. Process of designing software engineering is mid-automated. The needed quality attribute in designing architecture and quality attribute in representation are in architecture models. The main problem is the relationship between needs, and elements in some aspect with implicit models and input sources in process. It’s because there is no detection ability. The MART profile is use to describe real-time properties and perform plat form modeling.

Keywords: MDA, DW, OMG, UML, AKB, software architecture, ontology, evaluation

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Authors: Shenko Chura Aredo

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Food security and urban development are closely linked, especially in cities experiencing rapid urbanization. This paper explores the impact of food security on urban development in Adama City, Ethiopia, a fast-growing urban center that faces significant challenges related to population growth, land use changes, and food supply. By examining food systems, urban agriculture, market access, and social safety nets, the study aims to understand how food security influences urban development outcomes and vice versa. The paper concludes with policy recommendations for integrating food security into urban planning to promote sustainable urbanization and improve the resilience of food systems in Adama City.

Keywords: urbanization, food security, sustainable development, urban agriculture, Ethiopia

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Authors: N. K. Gupta, R. C. Bhattacharjee

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In the aftermath of the tsunami in 2004 and terrible humanitarian disaster affecting thousands of kilometers of coastal south, the immediate priority is to begin the process of reconstruction of livelihoods including basic services. It is likely that many coastal wetlands would have been affected by the large inflow of salt-water and littoral sediments during the tsunami, with longer-term effects including changes in their hydrogeology caused by changes to coastlines and damage to sea-defenses. The reconstruction process is likely to provide opportunities to better integrate environmental protection and management with economic development in the region, including the opportunity to conserve and restore coastal habitats. Presented herein is a study pertaining to salinity problems encountered in coastal south during tsunami in 2004 and the consequent loss of fertility of agricultural land including remedial measures to revitalize economic growth in the region.

Keywords: tsunami, salinity, costal area, reconstruction

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Authors: Mohammad Samarah, Benjamin Stark, Jennifer Kindle, Langley Payton

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Innovation is a key driver for companies, society, and economic growth. However, assessing and measuring innovation for individuals as well as organizations remains difficult. Our i5-Score presented in this study will help to overcome this difficulty and facilitate measuring the innovation potential. The score is based on a framework we call the 5Gs of innovation which defines specific innovation attributes. Those are 1) the drive for long-term goals 2) the audacity to generate new ideas, 3) the openness to share ideas with others, 4) the ability to grow, and 5) the ability to maintain high levels of optimism. To validate the i5-Score, we conducted a study at Florida Polytechnic University. The results show that the i5-Score is a good measure reflecting the innovative mindset of an individual or a group. Thus, the score can be utilized for evaluating, refining and enhancing innovation capabilities.

Keywords: Change Management, Innovation Attributes, Organizational Development, STEM and Venture Creation

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Authors: Suzhou Wei, Isobel Cunningham, Laura Bradley McCauley

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Social enterprises play a significant role in resolving social issues in the modern world. In contrast to traditional commercial businesses, their main goal is to address social concerns rather than primarily maximize profits. This phenomenon in entrepreneurship is presenting new opportunities and different operating models and resulting in modified approaches to measure success beyond traditional market share and margins. This paper explores social enterprises to clarify their roles and approaches in addressing grand challenges related to social issues. In doing so, it analyses the key differences between traditional business and social enterprises, such as their operating model and value proposition, to understand their contributions to society. The research presented in this paper responds to calls for research to better understand social enterprises and entrepreneurship but also to explore the dynamics between profit-driven and socially-oriented entities to deliver mutual benefits. This paper, which examines the features of commercial business, suggests their primary focus is profit generation, economic growth and innovation. Beyond the chase of profit, it highlights the critical role of innovation typical of successful businesses. This, in turn, promotes economic growth, creates job opportunities and makes a major positive impact on people's lives. In contrast, the motivations upon which social enterprises are founded relate to a commitment to address social problems rather than maximizing profits. These entities combine entrepreneurial principles with commitments to deliver social impact and grand challenge changes, creating a distinctive category within the broader enterprise and entrepreneurship landscape. The motivations for establishing a social enterprise are diverse, such as encompassing personal fulfillment, a genuine desire to contribute to society and a focus on achieving impactful accomplishments. The paper also discusses the collaboration between commercial businesses and social enterprises, which is viewed as a strategic approach to addressing grand challenges more comprehensively and effectively. Finally, this paper highlights the evolving and diverse expectations placed on all businesses to actively contribute to society beyond profit-making. We conclude that there is an unrealized and underdeveloped potential for collaboration between commercial businesses and social enterprises to produce greater and long-lasting social impacts. Overall, the aim of this research is to encourage more investigation of the complex relationship between economic and social objectives and contributions through a better understanding of how and why businesses might address social issues. Ultimately, the paper positions itself as a tool for understanding the evolving landscape of business engagement with social issues and advocates for collaborative efforts to achieve sustainable and impactful outcomes.

Keywords: business, social enterprises, collaboration, social issues, motivations

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Authors: Loujaina Abdelwahed

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Debt relief granted to low-and middle-income countries effectively provides additional funds for governments that can be used to increase public investment on poverty-reducing services to alleviate poverty and boost economic growth. However, little is known about the extent to which the poor benefit from the increased public investment. This study aims to assess the impact of debt relief granted through multiple initiatives during the 1990s on poverty reduction. In particular, it assesses the impact on the level, depth and severity of poverty in 76 low-and middle income countries over the period 1990-2011. Debt relief is found to have a significant impact on reducing the level, the depth and the severity of poverty. Analysis of the different types of debt relief reveals that debt service relief reduces poverty, whereas debt principle relief does not have a significant impact.

Keywords: debt relief, developing countries, HIPC, poverty, system GMM estimator

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Authors: Mona Alwhibi, Najat Bukhary

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Heliotropium digynum, a member of Boraginaceae family, the growth of the plant, as well as its size, length of inflorescence, and speed of development depends on the amount of rain in its habitat. In this study, we studied the applicability of inter-simple sequence repeat (ISSR) polymorphism in Heliotropium digynum in a different region of Saudi Arabia. We found that. ISSR analysis using 15 primers were used for ISSR-PCR optimization trials, five primers (UBC810, UBC811, UBC818, UBC834, and UBC849) which gave the best amplification results produced a total of 43 polymorphic bands. The number of polymorphic loci was 20 and the percentage of polymorphism was 90.47%. The similarity result indicates the presence of a high-level genetic diversity between populations and a dendrogram constructed by UPGMA method.

Keywords: genetic differentiation, genetic diversity, Heliotropium digynum, ISSR

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Authors: Aigul Manapova

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We consider an optimal control problem in the higher coefficient of nonlinear equations with a divergent elliptic operator and unbounded nonlinearity, and the Dirichlet boundary condition. The conditions imposed on the coefficients of the state equation are assumed to hold only in a small neighborhood of the exact solution to the original problem. This assumption suggests that the state equation involves nonlinearities of unlimited growth and considerably expands the class of admissible functions as solutions of the state equation. We obtain formulas for the first partial derivatives of the objective functional with respect to the control functions. To calculate the gradients the numerical solutions of the state and adjoint problems are used. We also prove that the gradient of the cost function is Lipchitz continuous.

Keywords: cost functional, differentiability, divergent elliptic operator, optimal control, unbounded nonlinearity

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Authors: Mir Jalil Razavi, Tianming Liu, Xianqiao Wang

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Cortical folding, characterized by convex gyri and concave sulci, has an intrinsic relationship to the brain’s functional organization. Understanding the mechanism of the brain’s convoluted patterns can provide useful clues into normal and pathological brain function. During the development, the cerebral cortex experiences a noticeable expansion in volume and surface area accompanied by tremendous tissue folding which may be attributed to many possible factors. Despite decades of endeavors, the fundamental mechanism and key regulators of this crucial process remain incompletely understood. Therefore, to taking even a small role in unraveling of brain folding mystery, we present a mechanical model to find mechanism of 3-hinges formation in a growing brain that it has not been addressed before. A 3-hinge is defined as a gyral region where three gyral crests (hinge-lines) join. The reasons that how and why brain prefers to develop 3-hinges have not been answered very well. Therefore, we offer a theoretical and computational explanation to mechanism of 3-hinges formation in a growing brain and validate it by experimental observations. In theoretical approach, the dynamic behavior of brain tissue is examined and described with the aid of a large strain and nonlinear constitutive model. Derived constitute model is used in the computational model to define material behavior. Since the theoretical approach cannot predict the evolution of cortical complex convolution after instability, non-linear finite element models are employed to study the 3-hinges formation and secondary morphological folds of the developing brain. Three-dimensional (3D) finite element analyses on a multi-layer soft tissue model which mimics a small piece of the brain are performed to investigate the fundamental mechanism of consistent hinge formation in the cortical folding. Results show that after certain amount growth of cortex, mechanical model starts to be unstable and then by formation of creases enters to a new configuration with lower strain energy. By further growth of the model, formed shallow creases start to form convoluted patterns and then develop 3-hinge patterns. Simulation results related to 3-hinges in models show good agreement with experimental observations from macaque, chimpanzee and human brain images. These results have great potential to reveal fundamental principles of brain architecture and to produce a unified theoretical framework that convincingly explains the intrinsic relationship between cortical folding and 3-hinges formation. This achieved fundamental understanding of the intrinsic relationship between cortical folding and 3-hinges formation would potentially shed new insights into the diagnosis of many brain disorders such as schizophrenia, autism, lissencephaly and polymicrogyria.

Keywords: brain, cortical folding, finite element, three hinge

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Authors: Kamel Al-Khaled

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Reaction-diffusion equations are commonly used in population biology to model the spread of biological species. In this paper, we propose a fractional reaction-diffusion equation, where the classical second derivative diffusion term is replaced by a fractional derivative of order less than two. Based on the symbolic computation system Mathematica, Adomian decomposition method, developed for fractional differential equations, is directly extended to derive explicit and numerical solutions of space fractional reaction-diffusion equations. The fractional derivative is described in the Caputo sense. Finally, the recent appearance of fractional reaction-diffusion equations as models in some fields such as cell biology, chemistry, physics, and finance, makes it necessary to apply the results reported here to some numerical examples.

Keywords: fractional partial differential equations, reaction-diffusion equations, adomian decomposition, biological species

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