Volume 13 | Issue 6 |

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Bharatanatyam, Tamil film, Cinematography, Classical dance, Feminity, Indian Aesthetics, Cultural Identity, Digital humanities, Jeans

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This paper presents a comprehensive exploration of the evolution of numeral systems across various civilizations and investigates a series of unsolved problems in number theory. By tracing the roots of numerical representation--from rudimentary tally marks to sophisticated symbolic formations such as the Hindu-Arabic numeral system--we illustrate how these systems not only reflect cultural and historical developments but also establish the groundwork for modern mathematical inquiry. Further, we discuss several unresolved conjectures in the theory of numbers, such as questions regarding the distribution of primes and problems of additive number theory, emphasizing their enduring allure for mathematicians and their deep ties to humanity's evolving conceptualization of numbers. This study is an invitation to appreciate both the rich historical trajectory of numeral systems and the philosophical challenges that persist at the heart of number theory.

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A Systematic Study of the Evolution of Numeral Systems and Some Unsolved Problems in the Theory of Numbers

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This paper explores the theoretical unification and interdisciplinary applications of multiple hypergeometric functions of several variables. By consolidating classical frameworks such as Appell, Lauricella, and Srivastava's hypergeometric series into generalized systems, we demonstrate how these functions simplify complex problems in physics, chemistry, and engineering. The study emphasizes conceptual unification, computational advancements, and real-world applications while avoiding technical derivations.

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Application and Unification of Certain Multiple Hypergeometric Functions of Several Variables

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The process of how children acquire a language has been a complex one to uncover. Recently, several studies have been examining the role of mothers in this process. Mothers are viewed to function as a vital part of the children's language input and nurturing their interest in language learning. This study examines the maternal perspectives in support of raising learners' awareness towards the importance of daily exposure to the English language while using various methods, which contribute to learning a second language. The research used multiple regression analysis to determine whether exposure from learning activities, beliefs, motivation, and learning resources to the English language predicts language acquisition. Using G power, the recommended sample size of the study was 129. Using convenient sampling, the researcher gathered data from one hundred twenty-nine (n = 129) respondents through a survey questionnaire. In this study, it was revealed that mothers' perceptions of the exposure of learning resources, beliefs, learning activities, and motivation to English language acquisition show high positive correlations. Also, it was found out in the multiple regression analysis that the exposure to learning resources, activities, and motivation was a significant predictor of English language acquisition.

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Keywords: Impact of Exposure, Maternal Perspective, Language Acquisition, English

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In this work, we offer a conceptual investigation into the nature of strong electron correlations by employing the ideas behind the Hubbard model and interpreting experimental insights from x-ray spectroscopy. By focusing on electron localization and local interaction effects in complex materials, we demonstrate how x-ray spectroscopic techniques (such as x-ray absorption and emission) can reveal the underlying physics that govern metal-insulator transitions and other many-body phenomena. Our analysis is qualitative, providing detailed narrative insight without recourse to mathematical equations, and it discusses applications to systems like Mott insulators and doped high-temperature superconductors.

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Analyzing Strong Electron Correlations: A Qualitative Exploration of the Hubbard Model via X-Ray Spectroscopy

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Mental disorders are prevalent worldwide. Hundreds of millions of people worldwide are affected by mental disorders. Mental disorders impose a substantial burden if left untreated. In India, the prevalence of major mental and behavioral disorders is estimated to be 65 per 1000 population, which translates to 70 million patients. India's ability to treat, care for and rehabilitate mentally ill patients leaves much to be desired. Mentally ill people are almost never taken seriously; they are treated with little or no dignity and are often locked away. Most (75%) mentally ill patients live in villages, where access even to basic health care is difficult. A study aimed to assess the knowledge of GNM Diploma Nursing Students visited for clinical experience regarding prevention and management of mental illness. The study adopted descriptive design with survey approach. The study was conducted in Central Institute of Psychiatry. 150 Diploma Nursing Students were randomly selected by convenient sampling method and were assessed with hunter institute of mental health questionnaire for knowledge regarding prevention and management of mental illness. Diploma Nursing Students showed that the maximum number of subjects 90% were in the age group of 21-25 years, 06% were in the age group of 26-30 years, 04% were distributed in 31-35 years Among the total respondents under study, it is evident that 82% were identified as females and 18% males. Majority 52.7% were Hindus, 41.7% were Christians, 06% were Muslims and only 07% found as others. Results indicate 16.7% of the respondents were married, 83.3% were unmarried. Majority 76% of the respondents were residing in rural area and only 24% were residing in urban area. Regarding source of information gained on prevention and management of mental illness, the majority 82% of participants gained knowledge from book, 12% from workshop, 04% from seminar and only 2% from special training. The study revealed that Knowledge scores showed that 78% were having inadequate knowledge, 22% were having moderate knowledge and none of them having adequate knowledge towards prevention and management of mental illness. As a whole findings of the study revealed that majority of village health nurses had inadequate knowledge and practice. It shows that there is a great need to educate and motivate village health nurses about prevention and management of mental illness in order to reduce the mortality and morbidity related to mental illness.

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knowledge, practice, prevention, mental illness, village health nurses.

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This paper presents a conceptual study that explores how the Hubbard model can be used to understand x-ray spectroscopic observations in strongly correlated materials. We discuss how on-site electron-electron repulsion, as envisioned by the Hubbard model, influences the electronic structure in materials that defy explanation by conventional density functional theory. By integrating ideas from real-space theoretical approaches with spectroscopic probes such as x-ray absorption and emission techniques, we demonstrate that including local correlation effects leads to a richer understanding of the experimental spectra. Applications to Mott insulators and doped high-temperature superconductors are discussed, along with insights into the limitations and potential future improvements of the method.

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Theoretical Analysis of the Hubbard Model Using X-Ray Spectroscopy Approaches A Qualitative Investigation

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Fashion Week, a global spectacle, transcends its visual beauty to shape cultural norms, societal values, and economic systems. Annually, events like Paris, Milan and New York Fashion Weeks collectively generate billions in economic activity. New York Fashion Week alone contributes approximately $887 million to the local economy. Sociologically, Fashion Week acts as a barometer of social change, reflecting and shaping trends in sustainability, inclusivity, and identity. The rising prominence of sustainable fashion addresses the staggering 92 million tons of textile waste produced annually, with brands increasingly adopting eco-conscious practices. Additionally, the industry's pivot towards diversity and inclusion reflects broader societal shifts, as evident in the representation of various ethnicities, genders, and body types on the runway. Fashion Week also democratizes cultural production, amplified by digital platforms that engage millions globally. Social media, live-streamed shows, and virtual runways enable broader participation, disrupting traditional hierarchies of exclusivity. Gen Z, accounting for nearly 60% of the fashion consumer base, prioritizes ethical practices and self -expression, further driving these transformations. This research explores Fashion Week as a social institution, analyzing its cultural and economic significance, its role in shaping identity and values, and its potential as a catalyst for progressive societal change.

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Fashion, Beauty standards, social class, culture

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From the perspective of Eastern psychology, yoga represents a powerful tool for promoting mental and physical well-being. Yoga is not just stretching; it is a practice that connects the body, breath, and mind. It focuses on breathing exercises, physical postures, and meditation. It is a way to relax the body, mind, sympathetic nervous system, and unnecessary thoughts. processes and maintain a balance between body and mind. Many people get a lot of benefits. from practicing yoga, and this benefit is visible in their physical and mental health. Hence, we reviewed current research and significant studies that bring about several neuropsychological, and psychological problems and collected detailed information on how yoga practices have beneficial effects on many people with different types of psychological problems, along with yoga's positive impact on cognitive function, the neurochemical, and synaptic connections. By addressing the root causes of neuropsychological and psychological disorders, yoga offers a holistic approach to healing that integrates the body, breath, and mind. Through regular practice, individuals can experience profound transformations in their mental health, cognitive function, and overall quality of life. It was also found that yoga reduces stress and anxiety. depression, neuropsychological disorders, and psychological problems. We can draw the conclusion that yoga may be beneficial treatment for a variety of psychological issues and neuropsychological illnesses, providing hope and healing to those who follow its teachings.

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Neuropsychology, yoga, neurocognitive disorder, psychological problems and practice.

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"Integration of Indian Knowledge Systems in pedagogy will facilitate contextual learning and creativity." - NCF 2023 As, every aspect of life require some changes according to the needs and demands of society. Education is also one of the most important aspects of life which helps in all round development of man and leads to a successful life. For the fulfilment of the need and demand of education systems, we have to work for the progress of this system. For this, researchers have to explore and try to find new educational ideas. Some researches were already going on in this field for the development of new innovative pedagogical models. These models are being explored by researchers to make learning more engaging, interesting, experiential and inclusive that sparks 21st century skills in students. One such pedagogical innovative model is the integration of gamification with art in a flipped classroom framework. This combination not only shows how students engage with curriculum content but also redesign or reshapes the role of the classroom into an interactive, inclusive and creative studio for the exploration of knowledge and expression. "Flipping the canvas provide a bold innovative reimagining pedagogy by combing art, play, and active learning to meet the needs and demands of society as 21stcentury learners. This research paper explores and collect some information that how these elements come together to create a unique, dynamic and effective learning environment--one that is immersive, inclusive and aligned with the needs of 21stcentury learners. It discusses how this blended model promotes student engagement, creativity and deeper learning and understanding by merging three powerful pedagogical approaches. This paper draws attention from existing literature review to support the theoretical synergy of gamification, art integration and the flipped classroom. This helps in arguing that their intersection provides a future-ready, emotionally intelligent and creatively empowered learner.

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Keywords:- Innovation Pedagogy, Gamified Learning, Art Integration, Flipped Classroom, 21st-Century Skills, Student Engagement, Effective Learning.

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