International Journal of Science, Engineering and TechnologyAuthors: Dr. N. Vidyapraveena, Asst. Professor, Dr S Swaruparani, Asst. Professor
Abstract: Mathematics and language are deeply intertwined, yet the application of mathematical frameworks to Indian languages—particularly Telugu—has remained largely underexplored. This paper presents a comprehensive survey of mathematical methods applied to Telugu and other Indian languages across multiple domains: unified language models for all Indian scripts, algebraic representations of Hindi syntax, statistical approaches for Telugu word prediction and named entity recognition, Minimum Description Length (MDL) principles for low-resource Indian languages, generative grammars for Dravidian number names, and computational preservation of Telugu’s metrical poetry tradition (Chandassu). Drawing on recent advances in computational linguistics, we demonstrate that mathematical techniques—ranging from pregroup calculus and graph-based energy models to Hidden Markov Models and n-gram statistics—are essential for addressing fundamental challenges in Indian language processing, including morphological richness, low-resource constraints, and cultural heritage digitization. The paper concludes that mathematical applications deliver 100% societal utility by enabling accessible digital interfaces, preserving endangered literary traditions, and promoting linguistic equity across India’s diverse population.
DOI: http://doi.org/10.5281/zenodo.20583834
