We define a class of trim metric spaces and show that every finite metric space is the leaf space of a metric forest with trim base....
We study local convexity properties of the triangular ratio metric balls in proper subdomains of the real coordinate space. We also study inclusion properties of the visual angle metric balls and related hyperbolic type metric balls in the complement...
Unfair metrical task systems are a generalization of online metrical task systems. In this paper we introduce new techniques to combine algorithms for unfair metrical task systems and apply these techniques to obtain improved randomized online algo...
Jun 6, 2023 · In this data-driven landscape, a powerful tool reigns supreme: metrics. But what exactly are metrics, and why are they so important? In their simplest form, metrics are measurements that …
metric-learn is an open source Python package implementing supervised and weakly-supervised distance metric learning algorithms. As part of scikit-learn-contrib, it provides a unified interface compatible with scikit-learn which allows to easily perf...
Jun 6, 2023 · In this data-driven landscape, a powerful tool reigns supreme: metrics. But what exactly are metrics, and why are they so important? In their simplest form, metrics are measurements that …
In this work, we consider tilings of the Hamming cube and look for metrics which turn the tilings into a perfect code. We consider the family of metrics which are determined by a weight and are compatible with the support of vectors (TS-metrics). We...
Jun 6, 2023 · In this data-driven landscape, a powerful tool reigns supreme: metrics. But what exactly are metrics, and why are they so important? In their simplest form, metrics are …
Based on a geometrical property which holds both for the Kerr metric and for the Wahlquist metric we argue that the Kerr metric is a vacuum subcase of the Wahlquist perfect-fluid solution. The Kerr-Newman metric is a physically preferred charged ge...
For almost contact metric or almost paracontact metric manifolds there is natural notion of $η$-normality. Manifold is called $η$-normal if is normal along kernel distribution of characteristic form. In the paper it is proved that $η$-normal manif...
A generalisation of the four-dimensional Kerr-de Sitter metrics to include a NUT charge is well known, and is included within a class of metrics obtained by Plebanski. In this paper, we study a related class of Kerr-Taub-NUT-de Sitter metrics in ar...
Top 10 by Total CO2 Pollution 1. Donald Trump (35,380 metric tons) 2. Travis Scott (14,775 metric tons) 3. Eric Schmidt (10,017 metric tons) 4. P. Diddy (7,019 metric tons) 5. Kim Karda...
A ($λ,μ$)-bow metric was defined in (Dragan & Ducoffe, 2023) as a far reaching generalization of an $α_i$-metric (which is equivalent to a ($0,i$)-bow metric). A graph $G=(V,E)$ is said to satisfy ($λ,μ$)-bow metric if for every four vertices $u...
A metric measure space is a complete separable metric space equipped with probability measure that has full support. Two such spaces are equivalent if they are isometric as metric spaces via an isometry that maps the probability measure on the first...
In mathematics and computer science, a string metric (also known as a string similarity metric or string distance function) is a metric that measures
A large number of metrics have been proposed for the quality of object oriented software. Many of these metrics have not been properly validated due to poor methods of validation and non acceptance of metrics on scientific grounds. In the literatur...
We introduce the concept of $\varepsilon\,$-contact metric structures on oriented (pseudo-)Riemannian three-manifolds, which encompasses the usual Riemannian contact metric, Lorentzian contact metric and para-contact metric structures, but which also...
In this paper, we propose a new metric which measures the distance between two finite sets of tracks (a track is a path of either a real or estimated target). This metric is based on the same principle as the Optimal Subpattern Assignment (OSPA) metr...
This paper proposes and evaluates a new metric. This metric will overcome a limitation of the Optimal Subpattern Assignment (OSPA) metric mentioned by Schuhmacher et al.: the OSPA distance between two sets of points is insensitive to the the case whe...
The url-metrics endpoint returns metrics for a URL or set of URLs you specify. This guide outlines the endpoints for now archived V1 Mozscape API endpoints.