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Comparison of the Effect of Different Administration Sequence of Propofol and Remifentanil on Sedation/Anesthesia During Gastroscopy in Obese Patients. [PDF]
Tang J +9 more
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In this paper, the authors introduce the notion of strong partial \(b\)-metric space and establish a number of completion results over such structures. The following are the main results of this exposition. \textbf{Theorem 1.} Every strong partial \(b\)-metric space \((X,\alpha,\sigma)\) admits a \(0\)-Cauchy completion \((X^*,\alpha,\sigma ...
Moshokoa, Seithuti, Ncongwane, Fanyana
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Topology and its Applications, 2022
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Kunzi, H., Pajoohesh, H.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kunzi, H., Pajoohesh, H.
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Revisiting graphical rectangular b-metric spaces
Asian-European Journal of Mathematics, 2021Very recently, the notion of graphical rectangular [Formula: see text]-metric spaces has been introduced, where the weight of the symmetric edges endowing the directed graph is defined in terms of the underlying metric. Due to its intimate relationship with the directed graphs, such spaces have a wide range of applications in science and engineering ...
Mudasir Younis, Deepak Singh, Luoyi Shi
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Principles for the Design of Online A/B Metrics
Proceedings of the 39th International ACM SIGIR conference on Research and Development in Information Retrieval, 2016In this paper, we describe principles for designing metrics in the context of A/B experiments. We share some issues that comes up in designing such experiments and provide solutions to avoid such pitfalls.
Widad Machmouchi, Georg Buscher
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2014
In 1993 another axiom for semimetric spaces, which is weaker than the triangle inequality, was put forth by Czerwik [58] with a view of generalizing the Banach contraction mapping theorem. This same relaxation of the triangle inequality is also discussed in Fagin et al. [79], who call this new distance measure nonlinear elastic matching (NEM).
William Kirk, Naseer Shahzad
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In 1993 another axiom for semimetric spaces, which is weaker than the triangle inequality, was put forth by Czerwik [58] with a view of generalizing the Banach contraction mapping theorem. This same relaxation of the triangle inequality is also discussed in Fagin et al. [79], who call this new distance measure nonlinear elastic matching (NEM).
William Kirk, Naseer Shahzad
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Remarks on b-Metric and metric-preserving functions
Mathematica Slovaca, 2018Abstract We introduce new classes of functions related to metric-preserving functions and b-metrics. We investigate their properties and compare them to those of metric-preserving functions.
Khemaratchatakumthorn, Tammatada +1 more
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The metrization of rectangular b-metric spaces
Topology and its Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Note on Partial b-Metric Spaces
Mediterranean Journal of Mathematics, 2015Let (X,b) be a partial b-metric space with coefficient $${s \geq 1. \,\,{\rm For \,\, each}\,\, x \in X \,\,{\rm and \,\,each}\,\, \varepsilon > 0, \,\,{\rm put}\,\, B(x, \varepsilon) = \{y \in X \colon b(x,y) 0\}}$$
Xun Ge, Shou Lin
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