Geodesic
On the metric-topological computing in the constructive world of
Numerical methods and programming, Tome 11 (2010) no. 4, pp. 326-335 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{VMP_2010_11_4_a3,
     author = {G. G. Ryabov and V. A. Serov},
     title = {On the metric-topological computing in the constructive world of},
     journal = {Numerical methods and programming},
     pages = {326--335},
     year = {2010},
     volume = {11},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2010_11_4_a3/}
}
TY  - JOUR
AU  - G. G. Ryabov
AU  - V. A. Serov
TI  - On the metric-topological computing in the constructive world of
JO  - Numerical methods and programming
PY  - 2010
SP  - 326
EP  - 335
VL  - 11
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VMP_2010_11_4_a3/
LA  - ru
ID  - VMP_2010_11_4_a3
ER  - 
%0 Journal Article
%A G. G. Ryabov
%A V. A. Serov
%T On the metric-topological computing in the constructive world of
%J Numerical methods and programming
%D 2010
%P 326-335
%V 11
%N 4
%U http://geodesic.mathdoc.fr/item/VMP_2010_11_4_a3/
%G ru
%F VMP_2010_11_4_a3
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/