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    NIL-CLEAN GRAPH OF SOME POLYNOMIAL RINGS

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    A nil-clean element of a commutative ring R is an element which can be written as a sum of an idempotent element and a nil element of R. The graph constructed by taking all nonzero elements of a ring as the vertices, where any two vertices are adjacent if their sum is a nil-clean element of R is known as nil-clean graph. With a revised adjacency rule, as any two vertices are adjacent if their product is a nil-clean element, on the same vertex set we revised the definition of nil-clean graph. In this work we study the Nil-Clean Graph of some polynomial quotient rings and their graph theoretical properties

    Impact of Self- Help Groups: A Comparison between Nongstoin CR&D Block and 10 other States of India

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    This study investigates the socio-economic impact of Self-Help Groups (SHGs) under the National Rural Livelihoods Mission (NRLM) with a comparative analysis between Nongstoin CRD Block in Meghalaya and SHGs of 10 other states in India. The study explored SHGs contribution to women empowerment, income generation, financial inclusion, and community development. Both qualitative and quantitative methods like chi-square tests were used to evaluate differences in income-generating activities, reasons for joining SHGs, economic improvements, and challenges faced by members of SHGs. The findings reveal significant regional variations in SHG participation and outcomes, with Nongstoin showing strong engagement in agriculture and business start-ups. The study concluded that SHGs did play an important role in enhancing rural livelihoods, especially for women, by fostering financial independence, skill development, and social capital. However, regional disparities highlight the need for context-specific strategies to maximize SHG effectiveness

    Seeing Like a Feminist

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    Nivedita Menon combines a highly complex conceptualization of feminist theories and practices with a wonderfully engaging and perfectly lucid style of writing. She frames the debates within a rich understanding of larger socio-political processes, and reveals the interfaces between the two. For Nivedita Menon, feminism is not about a moment of final triumph over patriarchy but about the gradual transformation of the social field so decisively that old markers shift forever.From sexual harassment charges against international figures to the challenge that caste politics poses to feminism, from the ban on the veil in France to the attempt to impose skirts on international women badminton players, from queer politics to domestic servants' unions to the Pink Chaddi campaign, Menon deftly illustrates how feminism complicates the field irrevocably

    NEW INFINITE FAMILIES OF CONGRUENCE MODULO POWERS OF 2 OF OVERCUBIC PARTITION WITH 5 and 6− TUPLES

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    The overcubic partition of a positive intege

    Exploring the Antagonistic Potential of Fungal Endophytes isolated from Andrographis paniculata (Burm. f.) wall. Ex Nees and Qualitative Profiling of Secondary Metabolites from the plant extract

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    Andrographis paniculata is a noteworthy Ayurvedic herb that has antioxidant and anti-inflammatory properties and conventionally been used to deal various liver-related diseases. Thus, this study concentrates on isolation and identification of endophytic fungi from different parts of this plant, assess their antimicrobial activity, and examine the presence of phytochemicals, in order to evaluate the plant’s potential as a source of bioactive compounds for pharmaceutical or agricultural applications. Research methods: For the isolation of endophytic fungi, the plant sample has been fragmented from various parts of the plant, such as- from leaf, stem and roots and each fragment then surface sterilized with the procedure given by Bayman [4]. Treated fragments were inoculated on Potato Dextrose Agar (PDA) and Czapek Dox Agar (CDA) plates and incubated at 25 ± 2℃ for 7-10 days. Antagonistic activity of the fungal isolates against selected pathogens were measured using dual culture method given by Talapatra [39]. The plant extract was used for the initial phytochemical screening using standard protocols from earlier studies [12; 3; 36; 37]. Findings and values: The three dominant fungal endophytes from A. paniculata were isolated: Aspergillus sp. (LP1- from leaf fragment), Colletotrichum sp. (SP1-from stem fragment), Penicillium sp. (SR1- from root fragment). In dual culture assessment it has been found that Aspergillus and Penicillium spp. hinder the growth of Escherichia coli, whereas Colletotrichum sp. completely overgrew the bacterial pathogen Escherichia coli. The phytochemical screening confirms the existence of phenols, alkaloids and flavonoids in the stem sample whereas alkaloids and flavonoids are present in the leaf sample. Tannin and saponin were absent is both the parts. Thus, these findings support the plant’s potential as a bioresource for antimicrobial and bioactive compound

    FINDING CORRELATION COEFFICIENT OF INTUITIONISTIC FUZZY SETS

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    A method for finding correlation coefficient (CC) of fuzzy sets (FSs) is proposed in this article. An FS is characterized here with the help of its membership function with respect to a reference function. The value of the CC is found to be in [-1, 1] demonstrating the efficacy of formula to give non only the strength of the relationship between FSs but also whether they are positively or negatively correlated. Thus, the propose method looks better than the couple of existing methods available in the literature

    A ROUGH SET BASED CLASSIFICATION OF PANDAMIC PATIENTS: A CASE STUDY OF COVID-19

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    COVID-19, caused by a novel strain of corona virus, has emerged as one of the most severe public health crises in modern history. Speedily growing across the world, it claimed lots of lives and infected another more. Like many viruses, the corona virus has undergone continuous mutations, producing variants such as Delta and Omicron that are highly infectious and responsible for large-scale fatalities in several countries. Although the rate of infection has declined in recent months, the pandemic has left a lasting impact on societies, economies, and everyday life. Until recently, governments and scientists worldwide faced the enormous challenge of containing the rapid transmission of the disease. Despite the wide availability of vaccines, the virus continues to evolve into stronger variants with higher transmission rates, as observed in recent surges in China and South Korea. At the beginning, symptoms were mostly mild fever, headache, and dry cough. Over time, however, a significant number of asymptomatic cases were reported, complicating detection and control measures. In the early stages, treatment approaches were largely symptom-based. As with other pandemics, the exponential growth of infections often led to acute shortages of medical resources. This situation was particularly visible during the first and second waves of COVID-19, when even technologically advanced nations with modern healthcare infrastructure struggled, resulting in high mortality. The key challenge in such scenarios is the optimal utilization of limited medical resources to reduce adverse outcomes. A promising way to address this issue is through the application of classification algorithms that can prioritize patients based on severity. In this article, we propose a rough set theory–based (RST) classification algorithm to categorize COVID-19 positive patients into predefined groups, enabling healthcare providers to manage each category more effectively. The proposed approach was validated by the experimental study on a real dataset

    FROM ADAPTIVE LEARNING TO VIRTUAL TUTORS: RECENT ADVANCES IN AI FOR TEACHING AND LEARNING

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    Artificial Intelligence (AI) has changed education through the provision of personalization and adaptation through virtual tutors and adaptive learning systems. Prior research focused on the theories of benefits from using AI in education: better engagement of students and personalized feedback. However, there is little research on whether AI can be expanded and be more equitable in terms of access, opportunity, and more ethically sound. This review aims to explore these aspects by synthesizing qualitative insight and evidence of empirical observations to analyse the influence of AI on student outcomes and its implementation across different educational settings based on a systematic literature review on AI technologies in education, including AIsupported assessments, virtual tutors, and adaptive learning systems between 2014 and 2024. The findings highlight that AI tools significantly improve student performance and engagement by leveraging real-time data analytics and personalized feedback. However, challenges such as computational resource demands, algorithmic biases, data privacy concerns, and the digital divide in under resourced settings limit broader adoption. Ethical issues, including the potential for AI to reinforce educational disparities and reduce human interaction, were also explored. The review underscores the importance of balancing AI integration with the irreplaceable human elements of teaching, such as fostering creativity, emotional intelligence, and critical thinking. This comprehensive analysis offers actionable insights for policymakers, educators, and developers to promote sustainable, equitable, and ethical AI integration in education, ultimately enhancing both teaching practices and student learning outcomes

    Transforming Lives: National Highway as an Economic Catalyst for Shopkeepers in Nongpoh, Ri Bhoi District, Meghalaya

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    Abstract This study is aimed at evaluating the impact of National Highway 40, especially the Nongpoh section, on the livelihood prospects of local shopkeepers. The study highlights the way in which the highway has aided income generation for small vendors and traders in many ways yet acknowledges that there are various challenges that still impede their progress. Through both the positive contributions and the limitations, the study aims to provide practical measures to assist shopkeepers in enhancing their economic status and more effectively taking advantage of the opportunities generated by the highway. A descriptive research design is employed to record the realities of the life experiences of the shopkeepers in a structured way. Primary as well as secondary data sources are employed, enabling the in-depth interpretation of the issues concerned. The sample consists of 27 shopkeepers running businesses between Pahamrioh and Dulongnar, selling fruits, pickles, betel nut, and related items. Through emphasizing these problems and proposing solutions, the study hopes to empower shopkeepers to enhance their economic foundation, improve their income-generating activities, and realize their full potential. Finally, the research places itself not only as an intellectual exercise but as a pragmatic contribution towards enhancing the standard of living and resilience of local communities relying on roadside businesses along the National Highway. Keywords: National Highway, Shopkeeper, Economic Condition, Income Generatio

    Integration of Functionally Graded Piezoelectric Actuators in Sustainable Manufacturing: Applications, Advantages, and Challenges

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    Functionally graded piezoelectric Actuators (FGPAs) have gained significant interest due to their unique properties that allow for efficient energy conversion and sensing capabilities. As manufacturing processes continue to evolve towards sustainability, integrating these materials into various applications has become a focus of research and development. Understanding the challenges and opportunities associated with the integration of functionally graded piezoelectric materials is essential for optimizing their performance and enhancing sustainability in manufacturing operations. This study aims to explore the potential benefits of incorporating these advanced materials in sustainable manufacturing processes, highlighting their contributions to energy efficiency and environmental conservation. By addressing the key considerations and opportunities presented by functionally graded piezoelectric materials, this study seeks to provide valuable insights for engineers and researchers looking to enhance the sustainability of manufacturing practices. Thus, this chapter overviews incorporation of FGPAs in manufacturing processes, and their numerous advantages and challenges in the field of green manufacturing

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