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All Journal Journal of Multidisciplinary Science: MIKAILALSYS Asian Journal of Science, Technology, Engineering, and Art ALSYSTECH Journal of Education Technology International Journal of Education, Culture, and Society Mikailalsys Journal of Advanced Engineering International Mikailalsys Journal of Mathematics and Statistics International Journal of Humanities, Education, and Social Sciences
Kumar, Nand Kishor
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Religion Agriculture, Biological Sciences & Forestry Arts Humanities Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Education Electrical & Electronics Engineering Engineering Environmental Science Languange, Linguistic, Communication & Media Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Social Sciences Other

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Mathematical Analysis of Fertility in Nepal Using Arriaga's Approach Kumar, Nand Kishor; Yadav, Dipendra Prasad
Mikailalsys Journal of Advanced Engineering International Vol 1 No 1 (2024): Mikailalsys Journal of Advanced Engineering International
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjaei.v1i1.2759

Abstract

This article has judged how well the P/F changing ratio technique and Arriaga's approach forecast fertility levels in Nepal. The study's goal was accomplished and the logistic curve function was legalized by estimating national fertility rates. Using information from the 2011 till 2021 censuses together with Arriaga's methodology, the following factual investigates the calculation of fertility rates in Nepal. By using cutting edge indirect fertility estimation techniques on a national level, this study seeks to evaluate the fertility change in Nepal. Utilizing information from the 2011 and 2021 Censuses, fertility estimates were produced with an emphasis on last-year births. The findings show that Nepal's fertility rates have recently dropped.
Concept of Bilinear Transformation, Jacobian, and Conformal Mapping with Applications Kumar, Nand Kishor; Yadav, Dipendra Prasad
Mikailalsys Journal of Advanced Engineering International Vol 1 No 1 (2024): Mikailalsys Journal of Advanced Engineering International
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjaei.v1i1.1970

Abstract

This article explores the concepts of bilinear transformation, Jacobian transformation, and conformal mapping, focusing on their essential properties and presenting key results. The discussion revolves around isogonal transformation, conformal transformation, Jacobian transformation, and bilinear transformation, as well as critical points and fixed points.
Mathematical Models of Biological Control of Dengue Kumar, Nand Kishor; Yadav, Dipendra Prasad
Mikailalsys Journal of Advanced Engineering International Vol 1 No 2 (2024): Mikailalsys Journal of Advanced Engineering International
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjaei.v1i2.2874

Abstract

Dengue fever, transmitted by Aedes mosquitoes, poses a significant public health threat in tropical and subtropical regions worldwide. Despite efforts to control its spread through various means, including vector control strategies and vaccine development, dengue remains a formidable challenge. Mathematical modeling has emerged as a valuable tool in understanding the complex dynamics of dengue transmission and evaluating control strategies, particularly those involving biological control methods.
Regression Analysis and Forecasting with Regression Model in Economics Kumar, Nand Kishor; Shah, Raj Kumar; Sahani, Suresh Kumar
Mikailalsys Journal of Advanced Engineering International Vol 2 No 2 (2025): Mikailalsys Journal of Advanced Engineering International
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjaei.v2i2.5401

Abstract

This work aims to provide a mathematical model that can be applied to prediction and defines this relationship. It helps economists understand how different factors influence economic indicators such as GDP, inflation, unemployment, and market trends. Forecasting using regression models provides valuable insights for policy-making, business strategies, and economic planning.
F-Test and Analysis of Variance (ANOVA) in Economics Kumar, Nand Kishor
Mikailalsys Journal of Mathematics and Statistics Vol 2 No 3 (2024): 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.v2i3.3449

Abstract

ANOVA remains a cornerstone of empirical economic research, providing economists with a robust framework to analyze differences between groups, eval_uate policy interventions, and draw meaningful conclusions from data. Its versatility and applicability across diverse economic contexts underscore its significance in advancing economic theory and informing evidence-based policymaking. As data availability and computational capabilities continue to expand, ANOVA's role in economic analysis is expected to evolve, supporting increasingly sophisticated studies of economic phenomena and policy impacts. In economics, particularly in empirical research and data analysis, the F-test and Analysis of Variance (ANOVA) are fundamental statistical tools used to test hypotheses regarding the equality of means across two or more groups.
Mathematical Analysis of the Impact of Climate Factors and Agricultural Practices on Rice Yield in Nepal: A Time Series Data Analysis Poudel, Omkar; Kumar, Nand Kishor; Acharya, Pradeep; Sharma, Deep Raj; Sahani, Suresh Kumar
Journal of Multidisciplinary Science: MIKAILALSYS Vol 3 No 2 (2025): Journal of Multidisciplinary Science: MIKAILALSYS
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mikailalsys.v3i2.5725

Abstract

Rice is a staple food and a crucial element of Nepal’s agrarian economy; however, its yield is significantly affected by climatic factors such as rainfall and temperature, as well as agricultural practices like pesticide use. Understanding these dynamics is essential for sustaining productivity in the face of climate change. This study employs an Autoregressive Distributed Lag (ARDL) model to analyze 33 years of time-series data (1990–2022), focusing on key variables including rice yield, temperature, rainfall, and pesticide use, all derived from secondary data sources. Diagnostic tests confirmed normality (????=0.06), absence of serial correlation (????=0.58), and homoscedasticity (????=0.68), with stability validated through CUSUM and CUSUMSQ tests. The results indicate that temperature has a significant positive long-term impact on rice yield (????=2181.48, ????<0.05), suggesting that moderate warming can enhance productivity. Rainfall exerts a marginal positive effect (????=5.10, ????=0.05), while pesticide use shows a strong correlation with yield (????=17.70, ????<0.01). The Granger Causality Test identifies temperature (????=7.76, ????<0.01) and pesticide use (????=11.25, ????<0.01) as critical predictors of rice yield. These findings demonstrate that while temperature and pesticide use significantly affect rice yield, the impact of rainfall is diminished due to effective irrigation systems. Nevertheless, the heavy reliance on pesticides raises sustainability concerns, underscoring the necessity for integrated pest management and environmental safeguards. This study advocates for the adoption of climate-smart agricultural practices, enhancement of irrigation infrastructure, and promotion of sustainable pesticide management, offering actionable insights for policymakers to devise adaptive strategies that bolster resilience and productivity in Nepal’s rice sector.
G-Calculus in Economic Growth Models: A Mathematical Framework Kumar, Nand Kishor; Sahani, Suresh Kumar
ALSYSTECH Journal of Education Technology Vol 3 No 2 (2025): ALSYSTECH Journal of Education Technology
Publisher : Lembaga Yasin AlSys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/alsystech.v3i2.5727

Abstract

Economic growth models are essential for understanding the long-term dynamics of economies, yet traditional models often rely on classical differential and integral calculus, which may inadequately represent discrete, nonlinear, or growth-oriented phenomena. This study aims to introduce G-Calculus (Geometric Calculus), an extension of non-Newtonian calculus, as an alternative analytical framework that is particularly effective for modeling multiplicative and exponential growth systems. We present the theoretical underpinnings of G-Calculus and apply it to established economic growth frameworks, such as the Solow model and endogenous growth theory. By utilizing a comparative analysis, we evaluate the performance of G-Calculus in capturing economic dynamics, revealing significant advantages in terms of both accuracy and applicability. The findings indicate that G-Calculus provides a more natural and effective representation of economic growth processes, thereby enhancing the analytical capabilities of economists. This study contributes to the existing literature by offering a novel perspective on economic modeling, suggesting that G-Calculus can be a valuable tool for researchers and policymakers aiming to gain deeper insights into economic development.
Golden Ratio and Fibonacci Quadratic Equation in Business and Finance Kumar, Nand Kishor; Shah, Raj Kumar; Sahani, Suresh Kumar
Asian Journal of Science, Technology, Engineering, and Art Vol 3 No 3 (2025): Asian Journal of Science, Technology, Engineering, and Art
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/ajstea.v3i3.5726

Abstract

The Golden Ratio and Fibonacci quadratic equation provide powerful insights into financial decision-making. From stock market analysis to business growth strategies, these mathematical principles offer practical applications in the financial world. By leveraging it, finance and investors can enhance their forecasting, optimize risk assessment, and improve financial outcomes. The existence of this Fibonacci sequence is not coincidental since it has been properly developed and maintained. There are more possibilities to study the mathematical properties of the Fibonacci numbers in the contemporary mathematics curriculum. Research into Fibonacci numbers facilitates the investigation of the existence of the Fibonacci sequence in God's beautiful essence. In short, God's dominance over humans is illustrated by the Fibonacci numbers and sequence.
Co-Authors Acharya, Chiranjivi Acharya, Pradeep Pokhrel, Chudamani Poudel, Omkar Sahani, Suresh Kumar Shah, Raj Kumar Sharma, Deep Raj Yadav, Dipendra Prasad Yadav, Dipendsra Prasad