Geodesic
On the metric-topological computing in the constructive world of
Numerical methods and programming, Tome 11 (2010) no. 4, pp. 326-335

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A constructive approach to the algebraic (monoidal) representation of cubic structures is developed. An expansion of a cubant set by the introduction of cross-cubants is proposed. The cubant metric (Hausdorff-Hamming metric) and topological properties are studied. Some peculiarities of the implementation of concurrent computer operations on monoids are considered as a tool of supercomputing. This work was supported by the Russian Foundation for Basic Research (project 09-07-12135).
Keywords: n-cube; cubants and cross-cubants; monoid; Hausdorff–Hamming metric; concurrent digitwise operations; supercomputing; 3D-sphere. 
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G. G. Ryabov; V. A. Serov. On the metric-topological computing in the constructive world of. Numerical methods and programming, Tome 11 (2010) no. 4, pp. 326-335. http://geodesic.mathdoc.fr/item/VMP_2010_11_4_a3/