5 publications
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Published Subscription Review Article
Gravitational Waves: Heralding a Transformative and Unprecedented Era in Astrophysical Observation and ExplorationBy Mamta Verma, Kirti Verma
Abstract: Gravitational waves, first theorized by Einstein’s General Theory of Relativity in 1916, are disturbances in spacetime caused by the acceleration of massive objects. Their first direct observation in 2015 by the Laser Interferometer Gravitational-Wave Observatory (LIGO) marked a groundbreaking achievement in astrophysics and created a new way to explore the universe. This review paper provides a comprehensive overview of gravitational waves, including their theoretical foundation, sources, detection techniques, and implications …
Published in International Journal of Universe · Vol. 2, Issue 1, 2026 · pp. 16–22 Read article →
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Published Subscription Review Article
Mathematical Modelling of Semiconductor Device Physics: An Analytical ApproachBy Divya Tiwari, Kirti Verma
Abstract: Semiconductor device physics forms the foundation of modern electronic and optoelectronic technologies. Mathematical modelling provides a rigorous framework for understanding, predicting, and optimizing the behavior of semiconductor devices by linking physical principles with device-level performance. This work presents an analytical approach to the mathematical modelling of semiconductor devices, emphasizing the derivation and interpretation of governing equations that describe charge transport and electrostatic behavior. The model is based on fundamental physical …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 1, 2026 · pp. 36–42 Read article →
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Published Subscription Review Article
The Contribution of Mathematics to Make Developed IndiaBy Kirti Verma, M. Sundarajan
Abstract: This research paper explores the significant contributions of mathematics to the development of India, tracing its influence from ancient innovations to modern applications across diverse sectors. India has a long-standing mathematical tradition, with foundational achievements such as the invention of zero, the decimal system, and advancements in algebra, trigonometry, and geometry, which profoundly shaped global knowledge systems. These early contributions established India as a pioneering hub of mathematical thought and …
Published in Research & Reviews : Journal of Statistics · Vol. 14, Issue 3, 2025 · pp. 08–15 Read article →
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Published Subscription Review Article
Graphs and Their Real-Life Applications in Pharmaceutical ResearchBy Udaybhan Patel, Kirti Verma
Abstract: This study provides a comprehensive overview of the role of graphs in pharmacy research, emphasizing their significance as powerful tools for data visualization, interpretation, and communication. In the field of pharmacy, research often generates large volumes of complex data related to drug development, pharmacokinetics, pharmacodynamics, medication safety, and patient outcomes. Graphs serve as an essential medium to translate these data into accessible, interpretable, and actionable insights, supporting evidence-based practice and …
Published in Research & Reviews : Journal of Statistics · Vol. 14, Issue 3, 2025 · pp. 01–08 Read article →
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Published Subscription Original Research
Study of Algebraic Structures in Discrete Mathematics and Its ApplicationsBy Kirti Verma, M. Sundarajan
Abstract: Algebraic structures such as groups, rings, fields, semi groups, and lattices form the foundational framework of discrete mathematics. These structures are defined by specific sets and operations that follow algebraic laws, enabling a systematic approach to problem-solving in various domains. This paper explores the theoretical principles of these algebraic systems and highlights their vital role in computer science, cryptography, automata theory, coding theory, and software engineering. By examining their properties …
Published in Emerging Trends in Symmetry · Vol. 1, Issue 1, 2025 · pp. 35–40 Read article →