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

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 Jha, Anshuman; Sahani, Suresh Kumar; Jha, Aditya; Sahani, Kameshwar
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.
Business Insights Unveiled: A Journey through Linear Programming Problems Jha, Aditya; Sahani, Suresh Kumar; Jha, Anshuman; Sahani, Kameshwar
Mikailalsys Journal of Mathematics and Statistics Vol 1 No 1 (2023): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v1i1.1948

Abstract

This project delves into the world of linear programming problems (LPP), a powerful optimization technique. It delves into the historical background, key features, fundamental assumptions, and wide-ranging applications of LPP. It also explores two hypothetical case studies: one in investment portfolio optimization and the other in advertisement budget allocation. LPP serves as a guiding light in making strategic investment decisions by maximizing returns and minimizing risks. In the context of advertising, it enables efficient budget allocation to reach the maximum audience and achieve the highest impact within constraints. The project emphasizes how LP simplifies complex decision-making processes, highlighting its practicality and relevance across diverse sectors. In essence, linear programming emerges as an indispensable tool for informed, data-driven decision-making, much like a skilled navigator guiding a ship through challenging waters toward its destination.