Accelerating Convergence in Series and Infinite Integrals: Revisiting Levin and Sidi’s Contributions

Author Name: David Levin.

Abstract
The evaluation of slowly converging series and infinite integrals is a key challenge in numerical analysis and computational mathematics. In their influential 1981 paper, the author and Avram Sidi introduced two effective nonlinear transformations, the d-transformation for series and the D-transformation for infinite integrals, aimed at speeding up their convergence. This review summarizes, contextualizes, and evaluates their contributions, highlighting the mathematical basis, practical significance, and legacy of their work.

Line Graphics vs Polygon Mesh in Representing Curves on Surfaces

Author Name: Vesna I. Velickovic

Abstract
This paper investigates methods of representing curves on surfaces in 3D computer graphics, in particular, in the polygon mesh and line graphics approach. The basic characteristics of both approaches are analyzed. The specifics of the author’s own software for visualization of mathematics, MV-Graphics, are also discussed. Special attention is paid to the problem of visibility in these two approaches and the possibility of controlling the visibility functions in MV-Graphics. The paper also discusses the existence of the contour line (silhouette) and its significance. The problem of accurately displaying curves on surfaces is analyzed, emphasizing their importance for mathematical accuracy and visual interpretation. Finally, concrete examples of intersection of two surfaces, visualization of special curves on a surface and obtaining the cross-section of solid bodies using only manipulation of visibility in MV-Graphics are given

A Study of Multifractal Behavior Observed in NucleusNucleus Collisions at Relativistic Energies

Author Name: Anju Sharma* and Nazeer Ahmad

Abstract
An analysis of a data has been carried out to study multifractality in 28Si-AgBr collisions at 14.5𝐴 𝐺𝑒𝑉/𝑐. We have studied this for different orders of the moment, i.e. from 𝑞 = −6 𝑡𝑜 6. This study was conducted on an event-by-event basis. Variations in the generalised fractal dimension, 𝐷𝑞 , and exponent parameter, 𝜏𝑞 , with the q values exhibit the presence of a selfsimilar nature during the multi-particle production process. The experimental results have been compared with data produced from Heavy Ion Jet Interaction Generator (HIJING) and Ultra-relativistic Quantum Molecular Dynamics (UrQMD) models. 

Integration of Artificial Intelligence in Human-Computer Interaction for Enhanced User Experience and Adaptive
Interfaces

Author Name: Ishrat Begum 1* , Syed MinajUl Hassan 2 and Javed Wasim 3 1Govt Degree College, Sindhanur, Raichur, Karnataka 2 Govt First Grade College, Manvi

Abstract
The integration of Artificial Intelligence (AI) into Human–Computer Interaction (HCI) has transformed traditional digital interfaces into adaptive, intelligent, and human-centered systems. This study explores the intersection of AI and HCI, examining how AI technologies such as machine learning, natural language processing, affective computing, and predictive analytics enhance usability, personalization, and user experience. The literature review highlights cognitive and behavioral factors, including user trust, mental models, emotional responses, and cognitive load, which influence the effectiveness of AI-driven interactions. Additionally, ethical on side rations such as transparency, privacy, and inclusivity are examined as critical components of responsible AI-HCI design. The findings emphasize the importance of human-centered design principles to create intelligent interfaces that are intuitive, trustworthy, and ethically aligned. This research provides insights for designers,
developers, and policymakers to develop AI-enabled systems that augment human capabilities while maintaining social, cognitive, and ethical integrity.

Parker Transport Equation: Foundations, Physical Interpretation, and Applications in the Heliosphere

Author Name: Aslam, O.P.M

Abstract
The Parker transport equation is a fundamental model in space physics. It describes how energetic charged particles move through the solar system’s magnetized and turbulent plasma. First developed by Eugene N. Parker in the 1960s, this equation combines several physical effects into one mathematical framework. These effects include spatial diffusion, convective transport by the solar wind, adiabatic energy changes, and particle drifts. This review explains the derivation of the equation from basic kinetic theory and provides a clear physical interpretation of each term. We then explore its main applications: the long-term modulation of galactic cosmic rays and the short-term transport of solar energetic particles. We also discuss numerical challenges in solving the equation and highlight recent advances, such as improved drift models and turbulence-based transport coefficients. The Parker equation remains a vital tool for understanding particle transport in the heliosphere.