‎The aim of this paper is to establish the equivalence between the concepts‎ ‎of an $S$-metric space and a cone $S$-metric space using some topological‎ ‎approaches‎. ‎We introduce a new notion of a $TVS$-cone $S$-metric space using‎ ‎some facts about topological vector spaces‎. ‎We see that the known results on‎ ‎cone $S$-metric spaces (or $N$-cone metric spaces) can be directly obtained‎ from...

Vittorio Giovannetti, Seth Lloyd, Lorenzo Maccone, and Jeffrey H. Shapiro NEST-CNR-INFM and Scuola Normale Superiore, Piazza dei Cavalieri 7, I-56126, Pisa, Italy MIT, Research Laboratory of Electronics, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, USA QUIT, Dipartimento di Fisica “A. Volta,” Universitá Pavia, via Bassi 6, I-27100 Pavia, Italy and Institute for Scientific Interchang...

PURPOSE To report the first case of ophthalmia due to contact with cobra venom in the Volta Region, Ghana. METHODS An ointment containing vitamin A was applied to treat the patient's unilateral defects in the corneal epithelium and the consequent diminished visual acuity. RESULTS Healing of the corneal epithelium and improvement of visual acuity were observed after only 1 day. CONCLUSIONS...

the sequential $p$-convergence in a fuzzy metric space, in the sense of george and veeramani, was introduced by d. mihet as a weaker concept than convergence. here we introduce a stronger concept called $s$-convergence, and we characterize those fuzzy metric spaces in which convergent sequences are $s$-convergent. in such a case $m$ is called an $s$-fuzzy metric. if $(n_m,ast)$ is a fuzzy metri...

equality of -curvatures of the berwald and cartan connections leads to a new class of finsler metrics, so-called bc-generalized landsberg metrics. here, we prove that every bc-generalized landsberg metric of scalar flag curvature with dimension greater than two is of constant flag curvature.

In this paper, we derive new shape descriptors based on a directional characterization. The main idea is to study the behavior of the shape neighborhood under family of transformations. We obtain a description invariant with respect to rotation, reflection, translation and scaling. A well-defined metric is then proposed on the associated feature space. We show the continuity of this metric. Som...

Introduction: Appropriate definition of the distance measure between diffusion tensors has a deep impact on Diffusion Tensor Image (DTI) segmentation results. The geodesic metric is the best distance measure since it yields high-quality segmentation results. However, the important problem with the geodesic metric is a high computational cost of the algorithms based on it. The main goal of this ...

In this paper we propose a new topology based metric for 2D vector fields. This metric is based on the concept of feature flow fields. We show that it incorporates both the characteristics and the local distribution of the critical points while keeping the computing time reasonably small even for topologically complex vector fields. Finally, we apply the metric to track the topological behavior...

In this paper we study the structure of the set SAT of all satisfiable propositional logical formulas. In particular we raise the question whether the distribution of SAT within the set A of all propositional formulas exhibits fractal behavior. This answer is of course relative to a metric on A. We show that for one such metric there is strong evidence that the distribution does indeed behave w...