Joanna Piotrowska, 2, ∗ Jonah M. Miller, † and Erik Schnetter 4, 5, ‡ Institute of Astronomy, University of Cambridge, Cambridge, UK Perimeter Institute for Theoretical Physics, Waterloo, ON, Canada Los Alamos National Laboratory, Los Alamos, NM, USA Department of Physics, University of Guelph, Guelph, ON, Canada Center for Computation & Technology, Louisiana State University, Baton Rouge, LA, ...

In this paper, we propose a new definition of intuitionistic fuzzyquasi-metric and pseudo-metric spaces based on intuitionistic fuzzy points. Weprove some properties of intuitionistic fuzzy quasi- metric and pseudo-metricspaces, and show that every intuitionistic fuzzy pseudo-metric space is intuitionisticfuzzy regular and intuitionistic fuzzy completely normal and henceintuitionistic fuzzy nor...

In this article we investigate the field of Hilbertian metrics on probability measures. Since they are very versatile and can therefore be applied in various problems they are of great interest in kernel methods. Quit recently Topsøe and Fuglede introduced a family of Hilbertian metrics on probability measures. We give basic properties of the Hilbertian metrics of this family and other used met...

we prove that every r-quadratic metric of scalar flag curvature with a dimension greater than twois of constant flag curvature. then we show that generalized douglas-weyl metrics contain r-quadraticmetrics as a special case, but the class of r-quadratic metric is not closed under projective transformations

The idea of probabilistic metric space was introduced by Menger and he showed that probabilistic metric spaces are generalizations of metric spaces. Thus, in this paper, we prove some of the important features and theorems and conclusions that are found in metric spaces. At the beginning of this paper, the distance distribution functions are proposed. These functions are essential in defining p...

We introduce a new, simple metric method of sampling metric measure spaces, based on a well-known “snowflakeing operator” and we show that, as a consequence of a classical result of Assouad, the sampling of doubling metric spaces is bilipschitz equivalent to that of subsets of some R . Moreover, we compare this new method with two other approaches, in particular to one that represents a direct ...