n-Way Metrics
نویسنده
چکیده
We study a family of n-way metrics that generalize the usual two-way metric. The n-way metrics are totally symmetric maps from E into R≥0. The three-way metrics introduced by Joly and Le Calvé (1995) and Heiser and Bennani (1997) and the n-way metrics studied in Deza and Rosenberg (2000) belong to this family. It is shown how the n-way metrics and n-way distance measures are related to (n− 1)-way metrics, respectively, (n− 1)-way distance measures.
منابع مشابه
λ-Projectively Related Finsler Metrics and Finslerian Projective Invariants
In this paper, by using the concept of spherically symmetric metric, we defne the notion of λ-projectively related metrics as an extension of projectively related metrics. We construct some non-trivial examples of λ-projectively related metrics. Let F and G be two λ-projectively related metrics on a manifold M. We find the relation between the geodesics of F and G and prove that any geodesic of...
متن کاملRecurrent metrics in the geometry of second order differential equations
Given a pair (semispray $S$, metric $g$) on a tangent bundle, the family of nonlinear connections $N$ such that $g$ is recurrent with respect to $(S, N)$ with a fixed recurrent factor is determined by using the Obata tensors. In particular, we obtain a characterization for a pair $(N, g)$ to be recurrent as well as for the triple $(S, stackrel{c}{N}, g)$ where $stackrel{c}{N}$ is the canonical ...
متن کاملNodal distances for rooted phylogenetic trees
Dissimilarity measures for (possibly weighted) phylogenetic trees based on the comparison of their vectors of path lengths between pairs of taxa, have been present in the systematics literature since the early seventies. For rooted phylogenetic trees, however, these vectors can only separate non-weighted binary trees, and therefore these dissimilarity measures are metrics only on this class of ...
متن کاملRFC 6534 Loss Episode Metrics for IPPM
The IETF has developed a one-way packet loss metric that measures the loss rate on a Poisson and Periodic probe streams between two hosts. However, the impact of packet loss on applications is, in general, sensitive not just to the average loss rate but also to the way in which packet losses are distributed in loss episodes (i.e., maximal sets of consecutively lost probe packets). This document...
متن کاملEvaluating the Correlation Between Pollination Ecosystem Service and Landscape Pattern metrics (Case Study: Qazvin Province)
Pollination is an ecological service with high economic values related to human and ecological wellbeing. This study aims to evaluate the correlation between landscape complexity and pollination service (bee) in Qazvin province at the landscape scale. Landscape pattern metrics (Number of Patches (NP), Patch Richness (PR), Edge Density (ED), and Shannon Index (H)), as a proxy of landscape comple...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- J. Classification
دوره 27 شماره
صفحات -
تاریخ انتشار 2010