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A new family of metrics is introduced. Each of these is defined by a spanning set F of linear subspaces of a finite vector space.
Metrics Generated by Families of Subspaces. Ernst M. Gabidulin, Member, IEEE, and Juriaan Simonis, Member, IEEE. Abstract— A new family of metrics is introduced ...
In this paper we offer a metric similar to graph edit distance which measures the distance between two (possibly infinite)weighted graphs with finite norm (we ...
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Metrics Generated by Families of Subspaces. Ernst M. Gabidulin Juriaan Simonis. Published in: IEEE Trans. Inf. Theory (1998). Keyphrases.
Dec 1, 2023 · Many classes of spaces are generated by the methods of mappings, plumages and sieves. It is interesting that for numerous classes of spaces, ...
Thus θ determines the same uniformity on Sx as the metric θ(the uniformity determined by θ has as a base the family of subsets of. Sx. X Sx of the form {(Y, Z)\ ...
Metrics Generated by Families of Subspaces · E. GabidulinJ. Simonis. Mathematics. IEEE Trans. Inf. Theory. 1998. A new family of metrics is introduced. Each of ...
Every space is considered to be a T1-space. In the present article we examine the collective conditions of loca- tion of a family of subspaces in ...
A (continuous) metric family is a disjoint collection of metric spaces whose metrics are compatible with a given topology on the disjoint union.