Volume 12 | Issue 6 |

 Abstract

Nonlinear equations are integral to a wide range of real-world problems in fields such as physics, engineering, and economics. Solving these equations presents challenges due to the potential for multiple solutions and sensitivity to initial conditions. This paper explores advanced numerical methods for solving nonlinear equations, focusing on Newton's method, the secant method, and homotopy continuation. These methods are evaluated based on their convergence rates, accuracy, and applicability to different types of nonlinear problems. Our findings indicate that while Newton's method offers fast convergence near the solution, its performance can degrade with poor initial guesses. The secant method, which does not require derivative information, provides a robust alternative with slower convergence. Homotopy continuation, though computationally intensive, excels in finding multiple solutions to nonlinear systems. The paper demonstrates that these advanced methods significantly improve the efficiency and reliability of solving nonlinear equations, making them invaluable tools in both theoretical and applied mathematics. Their applications extend to fields such as optimization, cryptography, and engineering, where solving nonlinear systems is crucial.

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Nonlinear equations, Newton's method, secant method, homotopy continuation, numerical analysis, convergence, applications

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This research paper examines employer perspectives in the management sector on incorporating industry-specific knowledge into academic curricula. It analyzes survey data to uncover insights into the alignment of academic programs with industry requirements, emphasizing the need to enhance graduate employability. The study identifies strengths and shortcomings in current educational programs and offers recommendations to bridge the gap between academic preparation and industry expectations, thereby improving workforce readiness.

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Management Graduates, Recruiters Skill Gap, Key Competencies

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This study investigates the practices of classroom interaction in English language teaching at the secondary level, with a specific focus on Kendriya Vidyalayas (KVS) in the Hyderabad region. The research centers on 9th grade students and English teachers, analyzing how various interaction practices impact students' English proficiency and engagement. The study identifies key classroom interaction dimensions, such as teacher-student dialogue, peer collaboration, instructional methods, and feedback mechanisms, to understand their role in enhancing students' language skills and motivation. The findings suggest that purposeful and structured classroom interactions significantly contribute to students' language acquisition and communicative confidence. Insights from this study provide practical recommendations for fostering positive, interactive environments in English language classes to support effective learning outcomes.

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Classroom Interaction, English Language Teaching, Kendriya Vidyalayas, Hyderabad Region, Secondary Education, Teacher-Student Interaction, 9th Class, Language Proficiency.

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India faces a significant challenge of balancing its rapid economic growth with an urgent need to address the issue of climate change. India's economy is majorly associate to its natural resource, with climate-sensitive sectors like agriculture playing a crucial role. Climate change impacts on India's natural resources could be far-reaching, disrupting the distribution and quality of these assets and adversely affecting people's livelihoods. India's diverse agricultural landscape, comprising 15 Agro-climatic zones, supports various seasons, crops, and farming systems. For many Indians, agriculture is the primary source of livelihood, making it highly vulnerable to climate change. The sector's sensitivity to climate variability means any climate change will significantly impact Indian agriculture directly and indirectly.Central government has taken steps to support farmers, providing facilities like a dedicated television channel and call centres to educate and inform them about weather conditions, soil health, and the use of pesticides and chemical fertilizers. The Ministry of Agriculture and the National Action Plan for Climate Change play pivotal role in agricultural governance, ensuring gradual but steady growth in agricultural production. Sustainable agriculture holds great potential for meeting food security requirements while improving farmers' livelihoods by enhancing their net incomes and resource productivity. This paper highlights the potential for agricultural growth and adaptation to climate change and the process of agricultural governance in India.

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Climate Change (CC), Agriculture, Sustainable Development, NAPCC, Climate Variability.

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In Andhra Pradesh, the economic implications of acquiring land for local farmers are extensive and diverse, frequently upsetting customary livelihoods and increasing social vulnerability. Farmers are mostly displaced out of their farming regions via acquiring land, which is an important source of revenue and food safety for them. Because it is difficult for numerous farmers to locate another job after being forced to relocate, particularly in areas where farming is the main industry, this relocation causes a loss of income. Since these connections are essential for supplying social and financial support, the breakdown of social media networks and community connections increases the negative impacts even more.

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Land Acquisition, growth initiatives, economic displacements.

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This study examines the geological features of the Lansdowne area in the Garhwal Lesser Himalaya. Age of the rocks are Precambrian to Paleozoic. The Lansdowne region showcases intricate geological features, encompassing various stages of deformation, and notable compositional changes from granite-to-granite gneiss and augen gneiss. Detailed field analyses of the rock formations and geological structures suggest significant tectonic movements which are marked by the presence of fault, joint sets, and fault gouge zones. The lithological variation in the rocks to understand the different tectonic activities and metamorphism in the area. The central part of Lansdowne, which is characterized by porphyritic granite, shows less intense deformation. This study highlights the importance of geological structure of the thrust area. The shear sense indicators determine NW-SE direction of the rocks and transportation of the area along SE direction along the Lansdowne thrust.

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This study examines the geological features of the Lansdowne area in the Garhwal Lesser Himalaya. Age of the rocks are Precambrian to Paleozoic. The Lansdowne region showcases intricate geological features, encompassing various stages of deformation, and notable compositional changes from granite-to-granite gneiss and augen gneiss. Detailed field analyses of the rock formations and geological structures suggest significant tectonic movements which are marked by the presence of fault, joint sets,

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Hissar, a city located in the Indian state of Haryana, has a rich historical and cultural legacy that dates back to ancient times. Established as a key urban center in the Indian subcontinent, Hissar's history is characterized by its strategic location and role in regional politics, trade, and culture. Hisar's historical importance lies in its role as a strategic military and administrative center throughout various periods, its contribution to regional stability, and its rich cultural heritage. The city's archaeological sites and historical structures reflect its evolving role in Indian history, from ancient times through the medieval and Mughal periods to the modern era.

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Haryana, Hisar, Monuments, ancient, History, city

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ABSTRACT In the evolving landscape of financial services, agility, scalability, and robustness are paramount. Microservices architecture, combined with Spring Boot, offers a powerful solution for addressing these needs. This paper examines the integration of microservices architecture with Spring Boot for financial services, highlighting its advantages, implementation strategies, and potential challenges.Which is crucial for financial services that demand high availability and responsiveness. Spring Boot, a framework designed to simplify Java-based application development, enhances microservices by providing out-of-the-box support for building production-ready applications with minimal configuration. A service handling real-time transaction processing can be scaled independently of other services, such as customer account management or fraud detection, thus maintaining system efficiency. Spring Boot's integration with various technologies and tools further complements the microservices approach. With built-in support for RESTful APIs, security, and data access, Spring Boot streamlines the development process, enabling financial services to build and deploy services rapidly. Additionally, Spring Boot's.This paper explores these challenges and proposes strategies for mitigating them, such as employing service discovery mechanisms, implementing centralized logging, and adopting eventual consistency patterns.

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? Microservices Architecture ? Spring Boot ? Financial Services ? Agility ? Scalability ? Modular Approach ? Production-Ready Applications ? RESTful APIs ? Containerization ? Docker ? Kubernetes

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Oracle Fusion Cloud has established itself as a leading solution for financial integrations, offering a comprehensive suite of tools and functionalities designed to streamline and enhance financial operations in modern enterprises. This research paper provides a detailed comparative analysis of Oracle Fusion Cloud's capabilities in financial integrations against other prominent platforms in the market, such as SAP S/4HANA, Microsoft Dynamics 365, and Workday. The study examines key aspects including integration features, scalability, user experience, and performance. By analyzing real-world case studies and gathering insights from industry experts, this paper aims to present an objective evaluation of Oracle Fusion Cloud's strengths and weaknesses. It also explores the challenges and opportunities faced by organizations in implementing Oracle Fusion Cloud for financial integrations. The findings of this study are intended to guide businesses in making informed decisions when selecting a financial integration platform, ultimately contributing to improved financial management and operational efficiency.

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Oracle Fusion Cloud Financial Integrations ERP (Enterprise Resource Planning) Cloud Financial Management Financial Modules Integration Capabilities Data Migration API Integration Financial Reporting Cloud vs. On-Premise Cross-Module Integration Middleware Solutions Workflow Automation SaaS (Software as a Service) Comparative Analysis System Performance Data Security Compliance Management Scalability Customization and Flexibility

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