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Economic Insights Unveiled: A Journey through Input-Output Analysis in Non-Linear Mathematics Suresh Kumar Sahani; Aditya Jha; Kameshwar Sahani; Kripa Sindhu Prasad
Journal of Multidisciplinary Science: MIKAILALSYS Vol 1 No 3 (2023): DECEMBER
Publisher : Lembaga Yasin AlSys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mikailalsys.v1i3.1865

Abstract

This project work explores the world of input-output analysis, a powerful economic tool that reveals the complicated web of economic interdependencies that exist within a region or nation. By meticulously exploring the foundations, applications, and implications of this analytical method, we set out on a journey to understand the profound impact it has on economic systems. The project begins with a comprehensive introduction to the theory of input-output analysis, shedding light on its historical evolution and underlying assumptions. It meticulously outlines the step-by-step process of constructing input-output tables and interprets the matrix algebra involved, ensuring that even a novice can grasp the fundamentals. Two hypothetical case studies add practicality to the project, vividly demonstrating how input-output analysis can be applied to real-world scenarios, such as the infrastructure sector, the energy sector, and local economic development. Through these case studies, we witness the transformative potential of this analysis, both in terms of economic growth and sustainable practices. Furthermore, the project explores the strengths and limitations of input-output analysis, paving the way for informed discussions and decisions in the realms of economic policy and planning. In the end, the project leaves no stone unturned, presenting a comprehensive view of input-output analysis as a dynamic instrument that empowers us to unravel economic intricacies, fostering a prosperous and sustainable future.
From Equations to Insights: Navigating the Canvas of Tumor Growth Dynamics Anshuman Jha; Suresh Kumar Sahani; Aditya Jha; Kameshwar Sahani
MASALIQ Vol 3 No 6 (2023): NOVEMBER
Publisher : Lembaga Yasin AlSys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/masaliq.v3i6.1983

Abstract

This report delves into the pivotal role that differential equations play in the modeling of dynamic systems, with a specific emphasis on their utility within the domain to tumor growth modeling. Differential equations furnish a quantitative framework for understanding the complex dynamics inherent in the growth of tumors, thereby empowering the formulation of predictions, possible treatment measures and prolonged prognostic outcomes. In this report we embark upon an exploration of the historical origin of these equations, their associated classifications, features and their extensive deployment in multiple disciplines such as physics, biology, economics and computer science, though the primary emphasis is on the domain of tumor growth. Through the medium of two hypothetical case studies, employing Gompertz and Logistic Growth models, this report vividly illustrates the indispensable role of differential equations in the realm of clinical decision-making, the planning of treatment measures and in building a stable foundation for future endeavors. It concurrently explores the advantages of employing differential equations within the framework of tumor growth modeling, underscoring their mathematical precision, predictive efficacy, quantitative insights and historical success. Nevertheless, the report remains forthright in acknowledging the limitations of these models, particularly their tendency for simplifications, the neglect of spatially distributed information and their disregard for Stochastic Effects.
Modeling Planetary and Stellar Motion Using Differential Equations Pravesh Sharma; Suresh Kumar Sahani; Kameshwar Sahani; Kritika Sharma
ARZUSIN Vol 3 No 6 (2023): DESEMBER
Publisher : Lembaga Yasin AlSys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/arzusin.v3i6.1991

Abstract

The report aims to explore the application of differential equations in modeling the motion of planets and stars within our universe, serving as an introduction to the captivating realm of celestial mechanics. We utilize differential equations to represent the movement and positions of celestial bodies within a gravitational field, grounding our analysis in Newton's laws of motion and gravitation. Moreover, we employ Kepler's laws of planetary motion to elucidate the orbits of planets around the sun. It is important to note that this report offers a simplified perspective, designed for educational purposes. In reality, celestial mechanics can be exceedingly intricate, involving n-body problems, relativistic effects, and a multitude of other factors.