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1

Dr. Pankaj Kumar Sharma

Abstract:
In the present paper we have obtained some solutions of Einstein – Cartan field equations for static cylinder of perfect fluid using a judicious equation state and by choosing a suitable form of metric potential .We have taken the spins of all the individual particles composing the fluid to be alingned along axis of symmetry .Constants have been fixed using boundary conditions .Various physical parameters like pressure, density and spin density etc. have been also found and discussed.


1-8
2

Shashi Kumar

Abstract:
In this paper we have formed and discussed mathematical models for controlling pollution of water. The optimization problem arises because we want to minimize the total cost of the treatment and to obtain maximum improvement in the quality of water which is important for health care to the community.


9-15
3

Dr. Govind Kumar Singh & Dr. Mukund Kumar Singh

Abstract:
We analyse properties of some existing classes of non-continuous functions using the properties derived by Kariofills as well as some bitopological separation axioms, and conditions for its regularity and normality based on multivalued and single-valued functions. J. E. Kelly introduced the notion of different separation axioms for non-continuous function which have been further developed by Kariofillis on bitopological spaces by taking different separation axioms using a set of non-continuous functions introducing the concept of ij-θ-closure operator.


16-22
4

Renu Kumari and Vijay Kumar

Abstract:
Social computing, fueled by the widespread use of social media plat- forms, has significantly reshaped the ways youth interact, express, and form opinions. In India, where digital adoption among young users is rising rapidly, the influence of online interactions has both empowering and concerning implications. This review paper presents a comparative study on the effect of social computing on youth, with a regional empha- sis on Bihar—one of the most populous yet under-researched states in India. The paper explores how machine learning techniques are being leveraged to analyze youth behavior, predict social media trends, and detect toxic content such as hate speech. We examine existing literature on social computing’s psychological and social impact, especially among youth populations, and survey machine learning-based approaches to predictive analytics and hate speech detection on platforms like Twit- ter, Facebook, and Instagram. Through comparative insights between global, national, and regional studies, this paper highlights the cultural and linguistic nuances that challenge traditional machine learning (ML) models. The review also outlines current limitations in data availability, regional language processing, and algorithmic fairness. Finally, we iden- tify emerging trends and recommend future research directions focused on culturally contextualized artificial Intelligence (AI) systems that can aid in safer and more inclusive digital environments for youth. This


23-35
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