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1

Dr. Naresh Kumar1, Dr. Amrita Agrawal2

Abstract:
Software reliability is the ability of a system to carry out its necessary functions for a predetermined amount of time under static conditions. These days, software systems are used not only in important industries but even in small businesses because of features like quality determination and improvement. Reliability prediction, which offers quality improvement, resource allocation for development, and confidence to create high-quality software products, must be carried out in the early stages of the development process. The current situation has led to a gradual shift in the software development process to component-based development, which makes software more complex. A new development method utilizing reliability prediction models is needed to create software that is failure-free because the current development process is only appropriate for certain projects. This article's primary goal is to propose reliability prediction models for producing software that is error-free.


1-11
2

Mustafa Ahmed

Abstract:
Traditionally, Mathematics has been perceived as a discipline confined to science and commerce streams. However, in recent years, its inclusion in the Undergraduate (UG) Arts curriculum has gained increasing relevance due to changing socio-economic demands, interdisciplinary academic frameworks, and the growing importance of analytical and quantitative skills. This paper examines the academic, cognitive, professional, and societal benefits of studying Mathematics as a subject in UG Arts courses. It argues that Mathematics enhances critical thinking, logical reasoning, problem-solving abilities, and employability among Arts students. The study also highlights how Mathematics complements subjects such as Economics, Sociology, Political Science, Geography, Psychology, and Philosophy, thereby strengthening the overall academic foundation of Arts education.


12-15
3

NILESH GULAB GAWADE

Abstract:
The Research paper is focus on applications of modular forms. This research paper explores the applications of modular forms in number theory, algebraic geometry, and cryptography. Modular forms are complex functions that exhibit specific transformation properties under the action of the modular group. They have far-reaching implications in various fields, including number theory, algebraic geometry, and cryptography. This study aims to provide a comprehensive overview of modular forms and their applications, highlighting their significance and potential impact.


16-21
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