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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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Mu ̈ntz’s Theorem in 2-Inner Product Spaces and It’s Applications in Economics Kumar, Nand Kishor; Sahani, Suresh Kumar
Journal of Multidisciplinary Science: MIKAILALSYS Vol 2 No 3 (2024): Journal of Multidisciplinary Science: MIKAILALSYS
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mikailalsys.v2i3.3991

Abstract

This study establishes a 2-inner product space, as well as its basic attributes and proof. The proof of Müntz’s theorem in 2-inner product spaces was demonstrated. Müntz’s Theorem finds a natural extension and application in the realm of 2-inner product spaces. By understanding the conditions under which certain functions form dense subsets, we can gain insights into the approximation properties and structural characteristics of these spaces. Further research may explore specific examples and ramifications of Müntz’s theorem in diverse areas of mathematics and their applications. Müntz’s Theorem provides valuable insights in economics by addressing the question of how well economic functions can be approximated when the available data or model inputs are restricted.
Role of Cooperative in Promoting Women’s Empowerment Acharya, Chiranjivi; Kumar, Nand Kishor
International Journal of Education, Culture, and Society Vol 3 No 1 (2025): International Journal of Education, Culture, and Society
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/ijecs.v3i1.4681

Abstract

Women empowerment is the process of enhancement of women development through different initiatives, cooperative is the unity of people, basically for economic enhancement of local people. The cooperative collects the small amount money from local people basically from women and they provide to the needy people among the members of cooperative. Main aim of this article is to analyzed the role of cooperative to enhance the women empowerment of study area, this article will be useful to researcher, students, teachers and other related people who are directly and indirectly working in cooperative and women empowerment field. Quantitative research methods, descriptive and analytical research design has been applied with deductive approach. Both primary and secondary data are used. Data are analyzed using the latest data analysis tool and technology. The cooperative is playing vital role to empowerment of women through the economic enhancement.
Lebesgue Measure and Integration on Subsets of R^d Kumar, Nand Kishor; Pokhrel, Chudamani; Yadav, Dipendra Prasad
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 1 (2025): 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.v3i1.3958

Abstract

Henri Lebesgue, a French mathematician, discovered centuries ago that the Riemann Integral does not work well on unbounded functions. It prompts him to consider another way to integration known as Lebesgue Integral. This paper discusses the Riemann integral's shortcomings and introduce a more thorough concept of integration, the Lebesgue integral, repeated integration. There is also some debate about the Lebesgue measure, which determines the Lebesgue integral. Some examples are given, such as F_σ -set, G_δ -set and Cantor function. In this article, we first look into a unified theory for d-dimensional volume based on the concept of a measure, and then we will use that theory to build a stronger and more flexible theory for integration.
Matrices of Fibonacci Numbers Kumar, Nand Kishor; Sahani, Suresh Kumar
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 1 (2025): 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.v3i1.4398

Abstract

This paper describes the matrix representation of Fibonacci numbers. The interaction between number theory and linear algebra is emphasized by the study of Fibonacci numbers using matrices. This viewpoint not only makes calculation easier, but it also reveals the sequence's underlying structural characteristics.
The Differential Practices of Post Natal Care by Socio-Cultural Background of Mothers Acharya, Chiranjivi; Kumar, Nand Kishor
International Journal of Humanities, Education, and Social Sciences Vol 3 No 1 (2025): International Journal of Humanities, Education, and Social Sciences
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/ijhess.v3i1.4571

Abstract

As WHO (1948) the postnatal period can be defined as the first 6-8 weeks after birth. Postnatal care should be a continuation of the care the woman has received through her pregnancy, labour and birth and consider the woman's individual needs and preferences. Main aimed of this article is to analyzed the differential practices of post-natal care by socio-cultural background of mothers. Descriptive and analytical research designed and deductive research approach are applied. Both primary data and secondary information are used and re-tabulated and re-described to make a rational of article. Level of education, urban residence, Terai eco-zone are most influencing factor to enhance the postnatal care of mother. Comparing with other caste/ethnic groups, Chhetri and Brahmin have more practice of postnatal care of mother.
Fibonacci Polynomials and It’s Generalization Kumar, Nand Kishor; Sahani, Suresh Kumar
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 1 (2025): 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.v3i1.4810

Abstract

This article explores the definition, properties, and generalizations of Fibonacci polynomials, providing a comprehensive understanding of their mathematical significance. We have used their Binet’s formula and generating function to derive the identities.
Generalized K-Fibonacci Sequence of Q- Matrix Kumar, Nand Kishor; Sahani, Suresh Kumar
Mikailalsys Journal of Advanced Engineering International Vol 2 No 1 (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.v2i1.4811

Abstract

This article explores the generalized K-Fibonacci sequence derived from matrices, extending the classical Fibonacci sequence to matrix representations. The properties and its applications are also described. The interplay of matrix algebra and generalized Fibonacci sequences offers insights into advanced sequence theory.
Distance Metrics for Machine Learning and it's Relation with Other Distances Yadav, Dipendra Prasad; Kumar, Nand Kishor; Sahani, Suresh Kumar
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.v1i1.1990

Abstract

In machine learning, distance metrics play a crucial role in measuring the degree of dissimilarity among data points. When creating and optimizing machine learning models, data scientists and machine learning practitioners can make more informed choices by understanding the features of popular distance metrics and their relationships. The effectiveness and interpretability of the model's output can be greatly influenced by selecting the appropriate distance metric. We explain distance metrics and their relevance in machine learning with various examples of metrics, including Minkowski distance, Manhattan distance, Max Metric for R^n, Taxicab distance, Relative distance, and Hamming distance.
Poincare's Theorem of Asymptotic Series and its Application Kumar, Nand Kishor; Yadav, Dipendsra Prasad; Sahani, Suresh Kumar
Mikailalsys Journal of Mathematics and Statistics Vol 2 No 1 (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.v2i1.2460

Abstract

This article explains an important asymptotic series theorem. Poincare also demonstrates how to solve linear differentials with polynomial coefficients using asymptotic series. The significance of asymptotic series has also been discussed.
Dynamic Economic Analysis from Difference Equation Kumar, Nand Kishor
International Journal of Humanities, Education, and Social Sciences Vol 3 No 1 (2025): International Journal of Humanities, Education, and Social Sciences
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/ijhess.v3i1.5012

Abstract

Dynamic economic analysis often involves understanding how economic variables evolve over time. One approach to modeling these dynamics is through the application of difference equations. Difference equations provide a framework for describing the evolution of economic variables in discrete time periods, making them particularly useful for analyzing time series data and economic processes that unfold in steps. In dynamic economic analysis, difference equations are an effective tool for modeling and comprehending how economic variables change with time. These difference equations are used by to study the behavior with economic systems and forecast future trends. Examples of these systems include market dynamics in the cobweb model and capital accumulation in the Solow growth model. Understanding the long-term behavior of complex systems is further aided by stability analysis, which guarantees that the models offer insightful information about economic processes. Stability analysis further aids in understanding the long-term behavior of these systems, ensuring that the models provide meaningful insights into economic processes.
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