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A New Approach for Representation of Multi-Dimensional Matrix Multiplication Operations

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Executive Summary

When user submit multi-dimensional arrays which are also referred as tensors or n-ways arrays are usefully applied to a wide range of studies or methods such as climate modeling, Finite Element Analysis (FEA), molecular dynamic and many more but still many issues have been encountered regarding efficient operations of these multi-dimensional arrays. In this paper, the Extended Karnaugh Map Representation (EKMR) scheme has been proposed as an alternative to the Traditional Matrix Representation (TMR) which caused the multi-dimensional array operation to be inefficient when extended to dimensions higher than two. Multi-dimensional arrays are widely used in a lot of scientific studies but still some issues have been encountered regarding efficient operations of these multi-dimensional arrays.

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