n-dimensional array languages and description of crystal symmetry—I |
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Authors: | Rani Siromoney Kamala Krithivasan Gift Siromoney |
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Affiliation: | 1. Madras Christian College, 600059, Madras, India
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Abstract: | Following the general linguistic approach proposed by Narasimhan to pattern recognition we proposed two generative models,viz., the matrix models and the more powerful two-dimensional array models. In this paper we generalize the matrix models ton-dimensions and establish that then-dimensional matrix models are closed under union, concatenation, Kleene closure, ∈-free homomorphism, inverse homomorphism and intersection with regular matrices. Symmetry operations such as translation, reflection and half-turn are examined. |
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