If a function d is metric, a well-known result is that d/(1 + d) is also metric. We consider m-ary analogs of the binary notion of semimetric, called hemi-metrics and super-metrics. The metrics are totally symmetric maps from Xm+1 into R≥0. It is shown that, if d is supermetric, then d/(1 + d) is also super-metri
Using the notion of the subdominant ultrametric, the degree of ultrametricity D of a given metric sp...
We define a binary metric as a symmetric, distributive lattice ordered magma-valued function of two ...
In many practical situations, we are faced with a necessity to combine sophisticated mathematical kn...
If a function d is metric, a well-known result is that d/(1 + d) is also metric. We consider m-ary a...
AbstractA finite semimetric is L1-embeddable if it can be expressed as a non-negative combination of...
AbstractWe introduce n -semimetrics as a common extension of n -metrics and certain recent applied n...
Abstract. Let ρ be a metric on a space X and let s≥1. The function ρs(a, b) = ρ(a, b)s is a quasimet...
Doctor of PhilosophyDepartment of MathematicsPietro Poggi-CorradiniThis thesis contains six chapters...
We investigate the relationships between tolerance relations, equivalence relations, and ultrametric...
Jim\'enez, Becerra, and Gelbukh (2013) defined a family of "symmetric Tversky ratio models" $S_{\alp...
In this article, we study the geodesic problem in a generalized metric space, in which the ...
AbstractIn this article we introduce and investigate the concept of a partial quasi-metric and some ...
AbstractComparisons are made between the fundamental metric theorems of additive number theory. Gene...
© 2018, Pleiades Publishing, Ltd. In the present paper we obtain new metric invariants of metric spa...
Metric search is concerned with the efficient evaluation of queries in metric spaces. In general, a ...
Using the notion of the subdominant ultrametric, the degree of ultrametricity D of a given metric sp...
We define a binary metric as a symmetric, distributive lattice ordered magma-valued function of two ...
In many practical situations, we are faced with a necessity to combine sophisticated mathematical kn...
If a function d is metric, a well-known result is that d/(1 + d) is also metric. We consider m-ary a...
AbstractA finite semimetric is L1-embeddable if it can be expressed as a non-negative combination of...
AbstractWe introduce n -semimetrics as a common extension of n -metrics and certain recent applied n...
Abstract. Let ρ be a metric on a space X and let s≥1. The function ρs(a, b) = ρ(a, b)s is a quasimet...
Doctor of PhilosophyDepartment of MathematicsPietro Poggi-CorradiniThis thesis contains six chapters...
We investigate the relationships between tolerance relations, equivalence relations, and ultrametric...
Jim\'enez, Becerra, and Gelbukh (2013) defined a family of "symmetric Tversky ratio models" $S_{\alp...
In this article, we study the geodesic problem in a generalized metric space, in which the ...
AbstractIn this article we introduce and investigate the concept of a partial quasi-metric and some ...
AbstractComparisons are made between the fundamental metric theorems of additive number theory. Gene...
© 2018, Pleiades Publishing, Ltd. In the present paper we obtain new metric invariants of metric spa...
Metric search is concerned with the efficient evaluation of queries in metric spaces. In general, a ...
Using the notion of the subdominant ultrametric, the degree of ultrametricity D of a given metric sp...
We define a binary metric as a symmetric, distributive lattice ordered magma-valued function of two ...
In many practical situations, we are faced with a necessity to combine sophisticated mathematical kn...