Numerical representation is a technique for modelling datastructures after number systems. Typically, the method has been used to derive one-dimensional datastructures. This paper explores utilizing the technique for modelling two-dimensional datastructures instead, with insights into multi-dimensional ones. The aim of this paper is to devise datastructures for modelling block matrices. We look into the different derivations and highlight some roadblocks that would otherwise not be an issue in the one-dimensional case. The points under consideration include dimensional bias, ease of defining functions and proving properties about them as well as the difficulty of understanding the derived datastructure.

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Two-Dimensional Numerical Representations

  • Michael Youssef

摘要

Numerical representation is a technique for modelling datastructures after number systems. Typically, the method has been used to derive one-dimensional datastructures. This paper explores utilizing the technique for modelling two-dimensional datastructures instead, with insights into multi-dimensional ones. The aim of this paper is to devise datastructures for modelling block matrices. We look into the different derivations and highlight some roadblocks that would otherwise not be an issue in the one-dimensional case. The points under consideration include dimensional bias, ease of defining functions and proving properties about them as well as the difficulty of understanding the derived datastructure.