
page 
Front pages 

Table of contents 
5 
Part 1: Theoretical Aspects of Mathematics of Distances 

Differential geometry derived from divergence functions: information geometry approach
Shunichi Amari 
9 
Classification results for (v; k; 1) cyclic difference families with small parameters
Tsonka Baicheva, Svetlana Topalova 
24 
Logarithmic distances in graphs
Pavel Chebotarev 
31 
Cones of weighted quasimetrics, weighted quasihypermetrics and of oriented cuts
Michel Deza, Vyacheslav P. Grishukhin, Elena Deza 
33 
Cubelike polytopes and complexes
Andrew Duke, Egon Schulte 
54 
A brief survey of metrics in coding theory
Ernst Gabidulin 
66 
Regular inversive polytopes
Norman W. Johnson 
85 
Construction of geometric divergence on qexponential family
Hiroshi Matsuzoe 
96 
Part 2: Applications of Mathematics of Distances 

Metric based recommender systems
Ali Akhtarzada, Cristian S. Calude, John Hosking 
103 
Rank codes over Gaussian integers and space time block codes
Hafiz M. Asif, Ernst M. Gabidulin, Bahram Honary 
118 
Ultrametric Fechnerian scaling of discrete object sets
Hans Colonius, Ehtibar N. Dzhafarov 
129 
Symmetrization: ranking and clustering in protein interfaces
Giovanni Feverati, Claire Lesieur, Laurent Vuillon 
133 
Intervals as ultrametric approximations according to the supremum norm
Bernard Fichet 
147 
Distances on antimatroids
Yulia Kempner, Vadim E. Levit 
148 
Distance between objects described by predicate formulas
Tatiana Kosovskaya 
153 
On the discretization of distance geometry problems
Antonio Mucherino, Carlile Lavor, Leo Liberti, Nelson Maculan 
160 
Geometrical tools for alphaVoronoi partitions
Atsumi Ohara and Yuya Nagatani 
169 
Metric tensor as degree of coherence in the dynamical organization of the central nervous system
Sisir Roy, Rodolfo Llinás 
174 
Hardware implementation of rank codec
Igor Y. Sysoev, Ernst M. Gabidulin 
181 