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The Proceedings of the Sixth International Conference on Emerging Trends in Mathematical Sciences & Computing (IEMSC-25) highlight a rich collection of contemporary research contributions from distinguished academicians, researchers, and industry experts worldwide. This volume highlights the convergence of mathematical sciences and computational innovations, offering insights into both theoretical advancements and practical applications across a diverse range of domains. The included papers explore frontier topics such as machine learning applications in weather prediction, financial analytics, healthcare safety, sentiment analysis, equity portfolio optimization, and cybersecurity; cutting-edge AI methodologies including zero-shot learning, explainable AI, and generative adversarial networks; mathematical modeling in areas like fluid dynamics, fuzzy optimization, neutrosophic decision-making, and b-metric space theory; as well as interdisciplinary studies spanning quantum agrigenomics, socio-economic analyses, IoT-driven energy management, renewable energy control, and sustainable food systems. From predictive modeling of satellite collision risks to AI-powered medical diagnostics, from advances in cryptography to language recognition for low-resource dialects, the proceedings reflect a truly multidisciplinary synergy. This volume stands as a valuable reference for researchers, practitioners, and policymakers. This volume delivers both in-depth technical insights and fresh viewpoints on blending mathematical precision with advanced computational approaches to tackle modern-day challenges.