LANGUAGE IN INDIA

Strength for Today and Bright Hope for Tomorrow

Volume 25:4 April 2025
ISSN 1930-2940

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         B. Mallikarjun, Ph.D.
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         Pammi Pavan Kumar, Ph.D.
         Soibam Rebika Devi, M.Sc., Ph.D.

Managing Editor & Publisher: M. S. Thirumalai, Ph.D.

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Mathematical Modeling of the Optional Forms
Generated by the Kraadi-niyama

Priyanka Salekar, Ph.D. Research Scholar and
Malhar Kulkarni, Ph.D.

Abstract

Mathematical modeling will help develop a more profound understanding of language and grammar. This is a sincere effort to preserve the grammatical data in newer and modern technical formats and an attempt to transfer the available data to a format accessible to learners outside the field.

Keywords: optional forms, kraadi-niyama, multi-valued function, mathematical modeling, ashtadhyayi, Paninian grammar

I. Introduction

The development of Morphological analyzers by the University of Hyderabad paved the way for the application of Panini's grammar to computational systems. P’s grammar has employed nuanced tools and techniques. To understand a rule and derivation one must decipher these techniques. Thus, there is a need for arranging grammatical data in newer and modern technical formats, expanding its access to experts outside the Sanskrit sphere (Kulkarni A. & Shukla, 2009). It is in this context we try to represent the grammatical data in non-verbal format i.e., using the language of mathematics . This mathematical modeling aims to present the processes in P’s grammar in a simplified and consistent manner.

Inspiration for the idea can be found in the work of Sohoni & Kulkarni (2018) which highlighted the structural similarity between P’s rules and mathematical functions and proposed a system. Further, a precursor for the current thought is given by Aggarwal A. & Kulkarni (2020). in their article named ‘Treatment of optional forms in Mathematical modeling of Panini’ and a thesis by Aggrawal A. (2021) focusing on writing the multi-valued functions denoted by select words. We wish to take this work ahead by extending it to the multiple outputs resulting from mechanisms other than the one mentioned above, namely the mention of the sage expressing optionality.

This is only the beginning part of the article. PLEASE CLICK HERE TO READ THE ENTIRE ARTICLE IN PRINTER-FRIENDLY VERSION.

Priyanka Salekar, Ph.D. Research Scholar
Department of Humanities and Social Sciences, IIT Bombay
priyanka.salekar@iitb.ac.in

Malhar Kulkarni, Ph.D.
Department of Humanities and Social Sciences, IIT Bombay, Powai, Mumbai - 400076
malhar@hss.iitb.ac.in
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