I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2010, VOLUME 16, NUMBER 1, PAGES 151-155
Hausdorff metric on faces of the -cube
G. G. Ryabov
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The Hausdorff metric on all faces of the unit -cube () is
The notion of a cubant is used; it was introduced as an
quaternary code of a -dimensional face
containing the Cartesian product of frame unit segments
and the face translation code within .
The cubants form a semigroup with a unit (monoid) with
respect to the given operation of multiplication.
A calculation of Hausdorff metric based on the generalization of the
Hamming metric for binary codes is considered.
The supercomputing issues are discussed.
Last modified: March 11, 2011