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Journal articles on the topic 'Metric'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

SABAU, SORIN V., KAZUHIRO SHIBUYA, and HIDEO SHIMADA. "Metric structures associated to Finsler metrics." Publicationes Mathematicae Debrecen 84, no. 1-2 (2014): 89–103. http://dx.doi.org/10.5486/pmd.2014.5886.

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2

Jakfar, Muhammad, Manuharawati, Dwi Nur Yunianti, and Mey Dita Kumala. "Metrics on a G-metric Space." Journal of Physics: Conference Series 1417 (December 2019): 012023. http://dx.doi.org/10.1088/1742-6596/1417/1/012023.

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3

Isah, Ahmed. "METRICS AND METRIC SPACES OF SOFT MULTISETS." FUDMA JOURNAL OF SCIENCES 7, no. 1 (2023): 188–92. http://dx.doi.org/10.33003/fjs-2023-0701-1275.

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The theory of Soft set found applications in so many fields including multiset theory to obtain soft multisets. These theories together with some of their properties were presented. Moreover, considering the various applications of metric spaces in various fields; Metrics and metric spaces of soft multisets with some of their attributes were introduced. However, it was discovered that only pseudo-metric spaces could favorably be formulated. Moreover, soft multiset ordering was also presented.

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4

Öner, Tarkan, and Alexander Šostak. "Some Remarks on Fuzzy sb-Metric Spaces." Mathematics 8, no. 12 (2020): 2123. http://dx.doi.org/10.3390/math8122123.

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Fuzzy strong b-metrics called here by fuzzy sb-metrics, were introduced recently as a fuzzy version of strong b-metrics. It was shown that open balls in fuzzy sb-metric spaces are open in the induced topology (as different from the case of fuzzy b-metric spaces) and thanks to this fact fuzzy sb-metrics have many useful properties common with fuzzy metric spaces which generally may fail to be in the case of fuzzy b-metric spaces. In the present paper, we go further in the research of fuzzy sb-metric spaces. It is shown that the class of fuzzy sb-metric spaces lies strictly between the classes o

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Ab. Rahim, Rosminazuin, Abdallah Awad, Aisha Hassan Abdalla Hashim, and ALIZA AINI MD RALIB. "EVALUATION OF THE ROUTING METIRC W-METRIC USED WITH RPL PRTOCOL IN LLNS." IIUM Engineering Journal 19, no. 2 (2018): 80–89. http://dx.doi.org/10.31436/iiumej.v19i2.840.

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ABSTRACT: The current de-facto routing protocol over Low Power and Lossy Networks (LLN) developed by the IETF Working Group (6LOWPAN), is named as Routing Protocol for Low Power and Lossy networks (RPL). RPL in the network layer faces throughput challenges due to the potential large networks, number of nodes, and that multiple coexisting applications will be running in the same physical layer. In this study, a node metric for RPL protocol based on the nodeâ€™s Queue Backlogs is introduced, which leads to a better throughput performance while maintaining the delay and the ability to use with di

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6

Zhao, Wen Jing, Yan Yan, Li Nan Shi та Bo Chao Qu. "The Projectively Flat Conditions of One Special Class (α, β)-Metrics". Advanced Materials Research 756-759 (вересень 2013): 2528–32. http://dx.doi.org/10.4028/www.scientific.net/amr.756-759.2528.

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The-metric is an important class of Finsler metrics including Randers metric as the simplest class, and many people research the Randers metrics. In this paper, we study a new class of Finsler metrics in the form ,Whereis a Riemannian metric, is a 1-form. Bengling Li had introduced the projective flat of the-Metric F. We find another method which is about flag curvature to prove the projective flat conditions of this kind of-metric.

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7

Kornev, R. A. "Computable metrics above the standard real metric." Sibirskie Elektronnye Matematicheskie Izvestiya 18, no. 1 (2021): 377–92. http://dx.doi.org/10.33048/semi.2021.18.027.

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8

Vallin. "MORE ON THE METRIC SPACE OF METRICS." Real Analysis Exchange 21, no. 2 (1995): 739. http://dx.doi.org/10.2307/44152685.

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9

Mennucci, Andrea C. G. "Designing metrics; the delta metric for curves." ESAIM: Control, Optimisation and Calculus of Variations 25 (2019): 59. http://dx.doi.org/10.1051/cocv/2018044.

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In the first part, we revisit some key notions. Let M be a Riemannian manifold. Let G be a group acting on M. We discuss the relationship between the quotient M∕G, “horizontality” and “normalization”. We discuss the distinction between path-wise invariance and point-wise invariance and how the former positively impacts the design of metrics, in particular for the mathematical and numerical treatment of geodesics. We then discuss a strategy to design metrics with desired properties. In the second part, we prepare methods to normalize some standard group actions on the curve; we design a simple

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10

Bogachev, V. I., A. N. Doledenok, and S. V. Shaposhnikov. "Weighted Zolotarev metrics and the Kantorovich metric." Doklady Mathematics 95, no. 2 (2017): 113–17. http://dx.doi.org/10.1134/s1064562417020028.

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11

Case, Jeffrey S. "Sharp metric obstructions for quasi-Einstein metrics." Journal of Geometry and Physics 64 (February 2013): 12–30. http://dx.doi.org/10.1016/j.geomphys.2012.10.006.

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12

Zage, Wayne M., Dolores M. Zage, and Cathy Wilburn. "Avoiding metric monsters: A design metrics approach." Annals of Software Engineering 1, no. 1 (1995): 43–55. http://dx.doi.org/10.1007/bf02249045.

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13

Kaur, Sandeep. "Software Metrics and Metric Tools A Review." International Journal on Recent and Innovation Trends in Computing and Communication 3, no. 4 (2015): 2076–79. http://dx.doi.org/10.17762/ijritcc2321-8169.150468.

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14

Faran, V, James J. "Hermitian Finsler metrics and the Kobayashi metric." Journal of Differential Geometry 31, no. 3 (1990): 601–25. http://dx.doi.org/10.4310/jdg/1214444630.

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15

Lin, Shuang, Mingxue Guo, and Yu Zhong. "A Representation Theorem for L-fuzzy Pseudo-metrics." Journal of Physics: Conference Series 2449, no. 1 (2023): 012010. http://dx.doi.org/10.1088/1742-6596/2449/1/012010.

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Abstract Through this article, the definitions of an L -fuzzy pseudo-metric and a family of pseudo-metric that satisfies the property of lower-semicontinuity (or named nests of pseudo-metrics) are introduced. After that, we indicated that an L -fuzzy pseudo-metric can be constructed from nests of pseudo-metrics and nests of pseudo-metrics can be constructed from an L -fuzzy pseudo-metric. Therefore, we establish a each to each association between L - fuzzy pseudo-metrics and nests of pseudo-metrics.

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16

Othman, Khadija Ben, Oliver Von Shtawzen, Ahmad Khaldi, and Rozina Ali. "On Neutrosophic Metric Spaces Generated By Classical Metrics." Galoitica: Journal of Mathematical Structures and Applications 7, no. 1 (2023): 36–42. http://dx.doi.org/10.54216/gjmsa.070104.

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This paper is dedicated to study the concept of symbolic neutrosophic metric spaces and refined neutrosophic metric spaces (X(I),d) which are generated by classical metrics, where many elementary properties will be discussed in terms of theorems and examples. Also, we study the topological properties of neutrosophic open balls, closed balls, and their topological metric complements, with many related examples that clarify the validity of our work.

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17

Saraswathula, Anirudh, Samantha J. Merck, Ge Bai, et al. "The Volume and Cost of Quality Metric Reporting." JAMA 329, no. 21 (2023): 1840. http://dx.doi.org/10.1001/jama.2023.7271.

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ImportanceUS hospitals report data on many health care quality metrics to government and independent health care rating organizations, but the annual cost to acute care hospitals of measuring and reporting quality metric data, independent of resources spent on quality interventions, is not well known.ObjectiveTo evaluate externally reported inpatient quality metrics for adult patients and estimate the cost of data collection and reporting, independent of quality-improvement efforts.Design, Setting, and ParticipantsRetrospective time-driven activity-based costing study at the Johns Hopkins Hosp

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18

Houghton, Conor, and Kamal Sen. "A New Multineuron Spike Train Metric." Neural Computation 20, no. 6 (2008): 1495–511. http://dx.doi.org/10.1162/neco.2007.10-06-350.

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The Victor-Purpura spike train metric has recently been extended to a family of multineuron metrics and used to analyze spike trains recorded simultaneously from pairs of proximate neurons. The metric is one of the two metrics commonly used for quantifying the distance between two spike trains; the other is the van Rossum metric. Here, we suggest an extension of the van Rossum metric to a multineuron metric. We believe this gives a metric that is both natural and easy to calculate. Both types of multineuron metric are applied to simulated data and are compared.

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19

Aygün, Halis, Elif Güner, Juan-José Miñana, and Oscar Valero. "Fuzzy Partial Metric Spaces and Fixed Point Theorems." Mathematics 10, no. 17 (2022): 3092. http://dx.doi.org/10.3390/math10173092.

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Partial metrics constitute a generalization of classical metrics for which self-distance may not be zero. They were introduced by S.G. Matthews in 1994 in order to provide an adequate mathematical framework for the denotational semantics of programming languages. Since then, different works were devoted to obtaining counterparts of metric fixed-point results in the more general context of partial metrics. Nevertheless, in the literature was shown that many of these generalizations are actually obtained as a corollary of their aforementioned classical counterparts. Recently, two fuzzy versions

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20

Mishra, Meera, and R. K. Pandey. "On Randers Change of a Generalized Exponential Metric." InPrime: Indonesian Journal of Pure and Applied Mathematics 6, no. 2 (2024): 194–204. https://doi.org/10.15408/inprime.v6i2.40885.

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In this paper, we study the properties of a special (α, β)-metric e^(k1β/α)+βe^(k2*β/α), the Randers change of the generalized exponential metric. We find the necessary and sufficient condition for this metric to be locally projectively flat and we also prove the conditions for this metric to be of the Berwald and Douglas type.Keywords: Berwald space; Douglas space; Finsler space; -metric; projectively flat. AbstrakPada artikel ini akan dipelajari sifat-sifat khusus dari (α, β) -metric e^(k1β/α)+βe^(k2*β/α), perubahan Randers dari metrik eksponensial umum. Kami menemukan syarat perlu dan cukup

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21

CHEN, GUANGZU, and XINYUE CHENG. "AN IMPORTANT CLASS OF CONFORMALLY FLAT WEAK EINSTEIN FINSLER METRICS." International Journal of Mathematics 24, no. 01 (2013): 1350003. http://dx.doi.org/10.1142/s0129167x13500031.

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In this paper, we study conformally flat (α, β)-metrics in the form F = αϕ(β/α), where α is a Riemannian metric and β is a 1-form on a C∞ manifold M. We prove that if ϕ = ϕ(s) is a polynomial in s, the conformally flat weak Einstein (α, β)-metric must be either a locally Minkowski metric or a Riemannian metric. Moreover, we prove that conformally flat (α, β)-metrics with isotropic S-curvature are also either locally Minkowski metrics or Riemannian metrics.

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22

Esra Sengelen, Sevim, and Zhongmin Shen. "Randers Metrics of Constant Scalar Curvature." Canadian Mathematical Bulletin 56, no. 3 (2013): 615–20. http://dx.doi.org/10.4153/cmb-2011-187-1.

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Abstract.Randers metrics are a special class of Finsler metrics. Every Randers metric can be expressed in terms of a Riemannian metric and a vector field via Zermelo navigation. In this paper, we show that a Randers metric has constant scalar curvature if the Riemannian metric has constant scalar curvature and the vector field is homothetic

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23

Khemaratchatakumthorn, Tammatada, and Prapanpong Pongsriiam. "Remarks on b-Metric and metric-preserving functions." Mathematica Slovaca 68, no. 5 (2018): 1009–16. http://dx.doi.org/10.1515/ms-2017-0163.

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24

Müller, Alfred. "Integral Probability Metrics and Their Generating Classes of Functions." Advances in Applied Probability 29, no. 2 (1997): 429–43. http://dx.doi.org/10.2307/1428011.

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We consider probability metrics of the following type: for a class of functions and probability measures P, Q we define A unified study of such integral probability metrics is given. We characterize the maximal class of functions that generates such a metric. Further, we show how some interesting properties of these probability metrics arise directly from conditions on the generating class of functions. The results are illustrated by several examples, including the Kolmogorov metric, the Dudley metric and the stop-loss metric.

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Müller, Alfred. "Integral Probability Metrics and Their Generating Classes of Functions." Advances in Applied Probability 29, no. 02 (1997): 429–43. http://dx.doi.org/10.1017/s000186780002807x.

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We consider probability metrics of the following type: for a class of functions and probability measures P, Q we define A unified study of such integral probability metrics is given. We characterize the maximal class of functions that generates such a metric. Further, we show how some interesting properties of these probability metrics arise directly from conditions on the generating class of functions. The results are illustrated by several examples, including the Kolmogorov metric, the Dudley metric and the stop-loss metric.

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26

ROD GOVER, A., and F. LEITNER. "A SUB-PRODUCT CONSTRUCTION OF POINCARÉ–EINSTEIN METRICS." International Journal of Mathematics 20, no. 10 (2009): 1263–87. http://dx.doi.org/10.1142/s0129167x09005753.

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Given any two Einstein (pseudo-)metrics, with scalar curvatures suitably related, we give an explicit construction of a Poincaré–Einstein (pseudo-)metric with conformal infinity the conformal class of the product of the initial metrics. We show that these metrics are equivalent to ambient metrics for the given conformal structure. The ambient metrics have holonomy that agrees with the conformal holonomy. In the generic case the ambient metric arises directly as a product of the metric cones over the original Einstein spaces. In general the conformal infinity of the Poincaré metric we construct

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27

Samphavat, Suchat, Tammatada Khemaratchatakumthorn, and Prapanpong Pongsriiam. "Remarks on b-metrics, ultrametrics, and metric-preserving functions." Mathematica Slovaca 70, no. 1 (2020): 61–70. http://dx.doi.org/10.1515/ms-2017-0331.

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AbstractWe introduce new classes of functions related to metric-preserving functions, b-metrics, and ultrametrics. We investigate their properties and compare them to those of metric-preserving functions.

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28

Pongsriiam, Prapanpong, and Imchit Termwuttipong. "Remarks on Ultrametrics and Metric-Preserving Functions." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/163258.

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Functions whose composition with every metric is a metric are said to be metric-preserving. In this paper, we investigate a variation of the concept of metric-preserving functions where metrics are replaced by ultrametrics.

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29

Zhu, Yifan, Lu Chen, Yunjun Gao, Baihua Zheng, and Pengfei Wang. "DESIRE." Proceedings of the VLDB Endowment 15, no. 10 (2022): 2121–33. http://dx.doi.org/10.14778/3547305.3547317.

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Similarity search finds similar objects for a given query object based on a certain similarity metric. Similarity search in metric spaces has attracted increasing attention, as the metric space can accommodate any type of data and support flexible distance metrics. However, a metric space only models a single data type with a specific similarity metric. In contrast, a multi-metric space combines multiple metric spaces to simultaneously model a variety of data types and a collection of associated similarity metrics. Thus, a multi-metric space is capable of performing similarity search over any

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30

Gregori, Valentín, Juan-José Miñana, and David Miravet. "A Duality Relationship Between Fuzzy Partial Metrics and Fuzzy Quasi-Metrics." Mathematics 8, no. 9 (2020): 1575. http://dx.doi.org/10.3390/math8091575.

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In 1994, Matthews introduced the notion of partial metric and established a duality relationship between partial metrics and quasi-metrics defined on a set X. In this paper, we adapt such a relationship to the fuzzy context, in the sense of George and Veeramani, by establishing a duality relationship between fuzzy quasi-metrics and fuzzy partial metrics on a set X, defined using the residuum operator of a continuous t-norm ∗. Concretely, we provide a method to construct a fuzzy quasi-metric from a fuzzy partial one. Subsequently, we introduce the notion of fuzzy weighted quasi-metric and obtai

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31

Wu, Hsien-Chung. "Convergence in Fuzzy Semi-Metric Spaces." Mathematics 6, no. 9 (2018): 170. http://dx.doi.org/10.3390/math6090170.

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The convergence using the fuzzy semi-metric and dual fuzzy semi-metric is studied in this paper. The infimum type of dual fuzzy semi-metric and the supremum type of dual fuzzy semi-metric are proposed in this paper. Based on these two types of dual fuzzy semi-metrics, the different types of triangle inequalities can be obtained. We also study the convergence of these two types of dual fuzzy semi-metrics.

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32

Doucha, Michal. "Metric topological groups: their metric approximation and metric ultraproducts." Groups, Geometry, and Dynamics 12, no. 2 (2018): 615–36. http://dx.doi.org/10.4171/ggd/450.

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33

Hussain, Nawab, Jamal Rezaei Roshan, Vahid Parvaneh, and Abdul Latif. "A Unification ofG-Metric, Partial Metric, andb-Metric Spaces." Abstract and Applied Analysis 2014 (2014): 1–14. http://dx.doi.org/10.1155/2014/180698.

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Using the concepts ofG-metric, partial metric, andb-metric spaces, we define a new concept of generalized partialb-metric space. Topological and structural properties of the new space are investigated and certain fixed point theorems for contractive mappings in such spaces are obtained. Some examples are provided here to illustrate the usability of the obtained results.

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34

Li, Changqing, Yanlan Zhang, and Jing Zhang. "On statistical convergence in fuzzy metric spaces." Journal of Intelligent & Fuzzy Systems 39, no. 3 (2020): 3987–93. http://dx.doi.org/10.3233/jifs-200148.

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The idea of statistical convergence, which was first introduced by Fast and Steinhaus independently in 1951, has become one of the most active area of research in the field of mathematics. Recently, it has been applied to the realm of metrics by several authors and some useful results have been obtained. However, the existence of non-completable fuzzy metric spaces, in the sense of George and Veeramani, demonstrates that the theory of fuzzy metrics seem to be richer than that of metrics. In view of this, we attempt to generalize this convergence to the realm of fuzzy metrics. Firstly, we intro

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35

Bogatyi, Semeon Antonovich. "Geometric progression stabilizer in a general metric." Sbornik: Mathematics 214, no. 3 (2023): 363–82. http://dx.doi.org/10.4213/sm9782e.

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So-called normalized metrics are considered on the set of elements of a geometric progression. A full description of normalized metrics with maximal stabilizer, which is the group of integer degrees of the common ratio of the progression, is presented. Previously, it was known that this group is the stabilizer for the minimal normalized metric (inherited from the real line) and the maximal normalized metric (an intrinsic metric all paths in which pass through zero). The stabilizer of a metric space is understood as the set of positive numbers such that multiplying the metric by this number pro

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36

Lopez, Victor Emmanuel Pierre, and Lawrence Dale Thomas. "Metric for Structural Complexity Assessment of Space Systems Modeled Using the System Modeling Language." Aerospace 9, no. 10 (2022): 612. http://dx.doi.org/10.3390/aerospace9100612.

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A complexity metric is proposed for the quantification of system complexity using information about the composition of a system and its interactions depicted in a System Modelling Language (SysML) model. The proposed metric is adapted from the complexity metric developed for design structure matrix (DSM) applications and was modified to allow the metric to be applied at different decomposition levels and to accommodate the inclusion of external interactions. The metric was applied to three case studies: a Mars lander, a CubeSat and a spacecraft thermal control system. The proposed metric attri

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37

Andresen, Bjarne, R. Stephen Berry, Ed Ihrig, and Peter Salamon. "Inducing Weinhold’s metric from Euclidean and Riemannian metrics." Physical Review A 37, no. 3 (1988): 849–51. http://dx.doi.org/10.1103/physreva.37.849.

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38

Stefani, A., and M. Xenos. "Meta-metric Evaluation of E-Commerce-related Metrics." Electronic Notes in Theoretical Computer Science 233 (March 2009): 59–72. http://dx.doi.org/10.1016/j.entcs.2009.02.061.

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39

Kao, Lien-Yung. "Pressure type metrics on spaces of metric graphs." Geometriae Dedicata 187, no. 1 (2016): 151–77. http://dx.doi.org/10.1007/s10711-016-0194-9.

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40

Li, Gang. "Constant Q -curvature metrics near the hyperbolic metric." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 31, no. 3 (2014): 591–614. http://dx.doi.org/10.1016/j.anihpc.2013.04.008.

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41

CASE, JEFFREY S. "SMOOTH METRIC MEASURE SPACES AND QUASI-EINSTEIN METRICS." International Journal of Mathematics 23, no. 10 (2012): 1250110. http://dx.doi.org/10.1142/s0129167x12501108.

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Smooth metric measure spaces have been studied from the two different perspectives of Bakry–Émery and Chang–Gursky–Yang, both of which are closely related to work of Perelman on the Ricci flow. These perspectives include a generalization of the Ricci curvature and the associated quasi-Einstein metrics, which include Einstein metrics, conformally Einstein metrics, gradient Ricci solitons and static metrics. In this paper, we describe a natural perspective on smooth metric measure spaces from the point of view of conformal geometry and show how it unites these earlier perspectives within a unifi

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42

Bozó, István, Zoran Budimac, Smiljana Knežev, Gordana Rakić, and Melinda Tóth. "Evaluation of a recursion aware complexity metric." Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica 57 (2024): 201–18. https://doi.org/10.71352/ac.57.201.

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Software metrics are heavily used to measure the complexity, readability, understandability, and maintainability of the source code. However, the accuracy of these metrics could be improved by considering different new aspects. In our previous research, we have introduced the Overall Path Complexity metric that takes into account recursion during the calculation of the metrics. The metric was integrated into the RefactorErl tool and evaluated for the functional programming language, Erlang. It was found that the OPC looked into new information that had not been evaluated before. In this paper,

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Rusu, Cătălin V., and Răzvan V. Florian. "A New Class of Metrics for Spike Trains." Neural Computation 26, no. 2 (2014): 306–48. http://dx.doi.org/10.1162/neco_a_00545.

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The distance between a pair of spike trains, quantifying the differences between them, can be measured using various metrics. Here we introduce a new class of spike train metrics, inspired by the Pompeiu-Hausdorff distance, and compare them with existing metrics. Some of our new metrics (the modulus-metric and the max-metric) have characteristics that are qualitatively different from those of classical metrics like the van Rossum distance or the Victor and Purpura distance. The modulus-metric and the max-metric are particularly suitable for measuring distances between spike trains where inform

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44

AYDIN, Fatih. "Uzaklık Metriklerinin Performansı Üzerine Ampirik Bir Çalışma." Afyon Kocatepe University Journal of Sciences and Engineering 23, no. 6 (2023): 1445–57. http://dx.doi.org/10.35414/akufemubid.1325843.

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Metrics are used to measure the distance, similarity, or dissimilarity between two points in a metric space. Metric learning algorithms perform the finding task of data points that are closest or furthest to a query point in m-dimensional metric space. Some metrics take into account the assumption that the whole dimensions are of equal importance, and vice versa. However, this assumption does not incorporate a number of real-world problems that classification algorithms tackle. In this research, the existing information gain, the information gain ratio, and some well-known conventional metrics

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45

Alsing, Paul M., Carlo Cafaro, Domenico Felice, and Orlando Luongo. "Geometric Aspects of Mixed Quantum States Inside the Bloch Sphere." Quantum Reports 6, no. 1 (2024): 90–109. http://dx.doi.org/10.3390/quantum6010007.

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When studying the geometry of quantum states, it is acknowledged that mixed states can be distinguished by infinitely many metrics. Unfortunately, this freedom causes metric-dependent interpretations of physically significant geometric quantities such as the complexity and volume of quantum states. In this paper, we present an insightful discussion on the differences between the Bures and the Sjöqvist metrics inside a Bloch sphere. First, we begin with a formal comparative analysis between the two metrics by critically discussing three alternative interpretations for each metric. Second, we ex

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46

Masárová, Renáta. "Fréchet Metric for Space of Binary Coded Software." Research Papers Faculty of Materials Science and Technology Slovak University of Technology 22, no. 35 (2014): 17–21. http://dx.doi.org/10.2478/rput-2014-0030.

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Abstract As stated in (7), binary coded computer programs can be shown as a metric space. Therefore, they can be measured by metric in a sense of metric space theory. This paper presents the proof that Fréchet metric is a metric on the space of all sequences of elements M={0,1t} Therefore, it is usable to build a system of software metrics based on the metric space theory

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47

Bear, H. S. "Part Metric and Hyperbolic Metric." American Mathematical Monthly 98, no. 2 (1991): 109. http://dx.doi.org/10.2307/2323940.

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48

Benesh, Bret J. "The Metric Metric on S4." Mathematics Magazine 91, no. 1 (2018): 33–36. http://dx.doi.org/10.1080/0025570x.2018.1405697.

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49

Fernández, V. V., A. M. Moya, and W. A. Rodrigues. "Metric tensor Vs. Metric extensor." Advances in Applied Clifford Algebras 11, S3 (2001): 41–48. http://dx.doi.org/10.1007/bf03219146.

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Bear, H. S. "Part Metric and Hyperbolic Metric." American Mathematical Monthly 98, no. 2 (1991): 109–23. http://dx.doi.org/10.1080/00029890.1991.11995712.

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