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Relevant bibliographies by topics / Metric space

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Academic literature on the topic 'Metric space'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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Journal articles on the topic "Metric space"

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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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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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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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Seriu, Masafumi. "Space of Spaces as a Metric Space." Communications in Mathematical Physics 209, no. 2 (2000): 393–405. http://dx.doi.org/10.1007/s002200050025.

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Nădăban, Sorin. "Fuzzy b-Metric Spaces." International Journal of Computers Communications & Control 11, no. 2 (2016): 273. http://dx.doi.org/10.15837/ijccc.2016.2.2443.

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Metric spaces and their various generalizations occur frequently in computer science applications. This is the reason why, in this paper, we introduced and studied the concept of fuzzy b-metric space, generalizing, in this way, both the notion of fuzzy metric space introduced by I. Kramosil and J. Michálek and the concept of b-metric space. On the other hand, we introduced the concept of fuzzy quasi-bmetric space, extending the notion of fuzzy quasi metric space recently introduced by V. Gregori and S. Romaguera. Finally, a decomposition theorem for a fuzzy quasipseudo- b-metric into an ascend

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Miyachi, Hideki, Ken'ichi Ohshika, and Athanase Papadopoulos. "Tangent spaces of the Teichmüller space of the torus with Thurston's weak metric." Annales Fennici Mathematici 47, no. 1 (2022): 325–34. http://dx.doi.org/10.54330/afm.113702.

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In this paper, we show that the analogue of Thurston's asymmetric metric on the Teichmüller space of flat structures on the torus is weak Finsler and we give a geometric description of its unit circle at each point in the tangent space to Teichmüller space. We then introduce a family of weak Finsler metrics which interpolate between Thurston's asymmetric metric and the Teichmüller metric of the torus (which coincides with the hyperbolic metric). We describe the unit tangent circles of the metrics in this family.

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Chen, Peng. "The Metrization Problem in [0,1]-Topology." Mathematics 11, no. 21 (2023): 4430. http://dx.doi.org/10.3390/math11214430.

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This paper discusses the classification of fuzzy metrics based on their continuity conditions, dividing them into Erceg, Deng, Shi, and Chen metrics. It explores the relationships between these types of fuzzy metrics, concluding that a Deng metric in [0,1]-topology must also be Erceg, Chen, and Shi metrics. This paper also proves that the product of countably many Deng pseudo-metric spaces remains a Deng pseudo-metric space, and demonstrates some σ-locally finite properties of Deng metric space. Additionally, this paper constructs two interrelated mappings based on normal space and concludes t

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BOWDITCH, BRIAN H. "Median and injective metric spaces." Mathematical Proceedings of the Cambridge Philosophical Society 168, no. 1 (2018): 43–55. http://dx.doi.org/10.1017/s0305004118000555.

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AbstractWe describe a construction which associates to any median metric space a pseudometric satisfying the binary intersection property for closed balls. Under certain conditions, this implies that the resulting space is, in fact, an injective metric space, bilipschitz equivalent to the original metric. In the course of doing this, we derive a few other facts about median metrics, and the geometry of CAT(0) cube complexes. One motivation for the study of such metrics is that they arise as asymptotic cones of certain naturally occurring spaces.

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Paulraj, Gnanachandra, and X. M. Jeffin Varunnya. "Correlation of Altering JS-Metric with Dislocated Metric." Mapana Journal of Sciences 23, no. 1 (2024): 47–58. https://doi.org/10.12723/mjs.68.3.

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The JS-metric space is a generalized metric space that was first established by Jleli and Samet in the year 2015. We have extended this metric with the aid of altering distance functions and commenced the concept of Altering JS-metric space. Hitzler and Seda introduced the idea of dislocated metric space in the year 2000. In this article, we have examined certain properties of the Altering JS-metric spaces and have discussed the interrelation between the dislocated metric space and the Altering JS-metric space.

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Kushwaha, Ramdayal Singh, та Gauree Shanker. "On the ℒ-duality of a Finsler space with exponential metric αeβ/α". Acta Universitatis Sapientiae, Mathematica 10, № 1 (2018): 167–77. http://dx.doi.org/10.2478/ausm-2018-0014.

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Abstract The (α, β)-metrics are the most studied Finsler metrics in Finsler geometry with Randers, Kropina and Matsumoto metrics being the most explored metrics in modern Finsler geometry. The ℒ-dual of Randers, Kropina and Matsumoto space have been introduced in [3, 4, 5], also in recent the ℒ-dual of a Finsler space with special (α, β)-metric and generalized Matsumoto spaces have been introduced in [16, 17]. In this paper, we find the ℒ-dual of a Finsler space with an exponential metric αeβ/α, where α is Riemannian metric and β is a non-zero one form.

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Dissertations / Theses on the topic "Metric space"

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Fuhry, David P. "Skylines in Metric Space." Kent State University / OhioLINK, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=kent1208562156.

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Lemaire-Beaucage, Jonathan. "Voronoi Diagrams in Metric Spaces." Thesis, Université d'Ottawa / University of Ottawa, 2012. http://hdl.handle.net/10393/20736.

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In this thesis, we will present examples of Voronoi diagrams that are not tessellations. Moreover, we will find sufficient conditions on subspaces of E2, S2 and the Poincaré disk and the sets of sites that guarantee that the Voronoi diagrams are pre-triangulations. We will also study g-spaces, which are metric spaces with ‘extendable’ geodesics joining any 2 points and give properties for a set of sites in a g-space that again guarantees that the Voronoi diagram is a pre-triangulation.

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Velani, Sanju Lalji. "Metric diophantine approximation in hyperbolic space." Thesis, University of York, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.304351.

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Sharp, Paul. "The metric space approach to quantum mechanics." Thesis, University of York, 2015. http://etheses.whiterose.ac.uk/11134/.

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The metric space approach to quantum mechanics is a new, powerful method for deriving metrics for sets of quantum mechanical functions from conservation laws. We develop this approach to show that, from a standard form of conservation law, a universal method exists to generate a metric for the physical functions connected to that conservation law. All of these metric spaces have an "onion-shell" geometry consisting of concentric spheres, with functions conserved to the same value lying on the same sphere. We apply this approach to generate metrics for wavefunctions, particle densities, paramag

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Persson, Nicklas. "Shortest paths and geodesics in metric spaces." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-66732.

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This thesis is divided into three part, the first part concerns metric spaces and specically length spaces where the existence of shortest path between points is the main focus. In the second part, an example of a length space, the Riemannian geometry will be given. Here both a classical approach to Riemannian geometry will be given together with specic results when considered as a metric space. In the third part, the Finsler geometry will be examined both with a classical approach and trying to deal with it as a metric space.

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Färm, David. "Upper gradients and Sobolev spaces on metric spaces." Thesis, Linköping University, Department of Mathematics, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-5816.

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<p>The Laplace equation and the related p-Laplace equation are closely associated with Sobolev spaces. During the last 15 years people have been exploring the possibility of solving partial differential equations in general metric spaces by generalizing the concept of Sobolev spaces. One such generalization is the Newtonian space where one uses upper gradients to compensate for the lack of a derivative.</p><p>All papers on this topic are written for an audience of fellow researchers and people with graduate level mathematical skills. In this thesis we give an introduction to the Newtonian spac

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Freeman, Jeannette Broad. "Hyperspace Topologies." Thesis, University of North Texas, 2001. https://digital.library.unt.edu/ark:/67531/metadc2902/.

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In this paper we study properties of metric spaces. We consider the collection of all nonempty closed subsets, Cl(X), of a metric space (X,d) and topologies on C.(X) induced by d. In particular, we investigate the Hausdorff topology and the Wijsman topology. Necessary and sufficient conditions are given for when a particular pseudo-metric is a metric in the Wijsman topology. The metric properties of the two topologies are compared and contrasted to show which also hold in the respective topologies. We then look at the metric space R-n, and build two residual sets. One residual set is the colle

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PALMISANO, Vincenzo. "Topics in calculus and geometry on metric spaces." Doctoral thesis, Università degli Studi di Palermo, 2022. https://hdl.handle.net/10447/554772.

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In this thesis we present an overview of some important known facts related to topology, geometry and calculus on metric spaces. We discuss the well known problem of the existence of a lipschitz equivalent metric to a given quasiultrametric, revisiting known results and counterexamples and providing some new theorems, in an unified approach. Also, in the general setting of a quasi-metric doubling space, suitable partition of unity lemmas allows us to obtain, in step two Carnot groups, the well known Whitney’s extension theorem for a given real function of class C^m defined on a closed s

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Glyn, Aneirin. "Relative properties, and near metric properties of a function space." Thesis, University of Oxford, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.249394.

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CORRAO, Giuseppa. "An Henstock-Kurzweil type integral on a meausure metric space." Doctoral thesis, Università degli Studi di Palermo, 2014. http://hdl.handle.net/10447/91249.

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We consider an Henstock-Kurzweil type integral defined on a complete measure metric space $X=(X, d)$ endowed with a Radon measure $\mu$ and with a family $\F$ of ``intervals" that satisfies, besides usual conditions, the Vitali covering theorem. In particular, for such integral, we obtain extensions of the descriptive characterization of the classical Henstock-Kurzweil integral on the real line, in terms of $ACG_*$ functions and in terms of variational measures. Moreover we show that, besides the usual Henstock-Kurzweil integral on the real line, such integral includes also the dyadic Hensto

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Books on the topic "Metric space"

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Zezula, Pavel, Giuseppe Amato, Vlastislav Dohnal, and Michal Batko. Similarity Search The Metric Space Approach. Springer US, 2006. http://dx.doi.org/10.1007/0-387-29151-2.

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Centre canadien d'architecture. Dieter Appelt: Forth Bridge-Cinema : metric space. Canadian Centre for Architecture = Centre canadien d'architecture, 2005.

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Ash, Robert B. Real variables with basic metric space topology. IEEE Press, 1993.

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1975-, Teo Lee-Peng, ed. Weil-Petersson metric on the universal Teichmüller space. American Mathematical Society, 2006.

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Ciprian, Foiaş, ed. Metric constrained interpolation, commutant lifting, and systems. Birkhäuser, 1998.

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Nicola, Gigli, and Savaré Giuseppe, eds. Gradient flows: In metric spaces and in the space of probability measures. Birkhäuser, 2005.

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Ambrosio, Luigi. Gradient flows: In metric spaces and in the space of probability measures. Birkhauser, 2004.

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Nicola, Gigli, Savaré Giuseppe, Struwe Michael 1955-, and SpringerLink (Online service), eds. Gradient Flows: In Metric Spaces and in the Space of Probability Measures. Birkhäuser Basel, 2008.

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United States. National Aeronautics and Space Administration., ed. Radio metric and orbit data: Recommendation for space data system standards. National Aeronautics and Space Administration, 1989.

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United, States Congress House Committee on Science Space and Technology Subcommittee on Science Research and Technology. Metric conversion: Hearing before the Subcommittee on Science, Research, and Technology of the Committee on Science, Space, and Technology, U.S. House of Representatives, One Hundred First Congress, second session, April 24, 1990. U.S. G.P.O., 1990.

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Book chapters on the topic "Metric space"

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Ye, Feng. "Metric Space." In Strict Finitism and the Logic of Mathematical Applications. Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-1347-5_4.

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Zezula, Pavel, Michal Batko, and Vlastislav Dohnal. "Metric Space." In Encyclopedia of Database Systems. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4899-7993-3_218-2.

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Zezula, Pavel, Michal Batko, and Vlastislav Dohnal. "Metric Space." In Encyclopedia of Database Systems. Springer US, 2009. http://dx.doi.org/10.1007/978-0-387-39940-9_218.

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Zezula, Pavel, Michal Batko, and Vlastislav Dohnal. "Metric Space." In Encyclopedia of Database Systems. Springer New York, 2018. http://dx.doi.org/10.1007/978-1-4614-8265-9_218.

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Wienand, Norman. "People and space." In Metric Handbook, 7th ed. Routledge, 2021. http://dx.doi.org/10.4324/9781003052586-3.

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Wienand, Norman. "People and space." In Metric Handbook. Routledge, 2018. http://dx.doi.org/10.4324/9781315230726-2.

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Burago, Dmitri, Yuri Burago, and Sergei Ivanov. "Space of Metric Spaces." In Graduate Studies in Mathematics. American Mathematical Society, 2001. http://dx.doi.org/10.1090/gsm/033/07.

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McLennan, Andrew. "Metric Space Theory." In Advanced Fixed Point Theory for Economics. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0710-2_6.

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Shekhar, Shashi, and Hui Xiong. "Indexing, Metric-Space." In Encyclopedia of GIS. Springer US, 2008. http://dx.doi.org/10.1007/978-0-387-35973-1_604.

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Alabiso, Carlo, and Ittay Weiss. "Metric Spaces." In A Primer on Hilbert Space Theory. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-03713-4_4.

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Conference papers on the topic "Metric space"

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Mishra, Achala, and Hiral Raja. "Study Of Fixed-Point Results In G-Metric Space And G- Cone Metric Space and Its Application." In 2024 OPJU International Technology Conference (OTCON) on Smart Computing for Innovation and Advancement in Industry 4.0. IEEE, 2024. http://dx.doi.org/10.1109/otcon60325.2024.10687678.

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Mellon, Samuel N., Jonathan Wells, Jakob Kunzler, and Jason Schmidt. "Proposing a Standardized Metric for Comparing Free Space Optical Communication Systems." In Propagation Through and Characterization of Atmospheric and Oceanic Phenomena. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/pcaop.2024.pth5d.2.

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Performance metric standardization eludes free space optical communication systems, resulting in assessment inconsistency. The authors propose that bits per joule capacity should be a standard system engineering metric for free space optical communications systems.

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Paul, Yema, and Joan-Pau Sanchez Cuartielles. "Robust Metric for Spacecraft Collision Risk Estimation." In 22nd IAA Symposium on Space Debris, Held at the 75th International Astronautical Congress (IAC 2024). International Astronautical Federation (IAF), 2024. https://doi.org/10.52202/078360-0196.

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Oleg, Gofaizen, and Pyliavskyi Volodymyr. "Television systems color space metric." In 2017 International Conference on Information and Telecommunication Technologies and Radio Electronics (UkrMiCo). IEEE, 2017. http://dx.doi.org/10.1109/ukrmico.2017.8095405.

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Gil-Costa, Veronica, and Mauricio Marin. "Approximate distributed metric-space search." In the 9th workshop. ACM Press, 2011. http://dx.doi.org/10.1145/2064730.2064736.

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Caruana, Rich, and Alexandru Niculescu-Mizil. "Data mining in metric space." In the 2004 ACM SIGKDD international conference. ACM Press, 2004. http://dx.doi.org/10.1145/1014052.1014063.

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Zerakidze, Zurab, Malkhaz Mumladze, Laura Eliauri, and Lela Aleksidze. "Consistent criteria in metric space." In 2012 IV International Conference "Problems of Cybernetics and Informatics" (PCI). IEEE, 2012. http://dx.doi.org/10.1109/icpci.2012.6486408.

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Kider, Jehad R. "The convex fuzzy metric space." In FIFTH INTERNATIONAL CONFERENCE ON APPLIED SCIENCES: ICAS2023. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0209483.

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Delclaud, Y. "High resolution metric imaging payload." In International Conference on Space Optics 2000, edited by Georges Otrio. SPIE, 2017. http://dx.doi.org/10.1117/12.2307897.

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Mao, Jun-Xiang, Wei Wang, and Min-Ling Zhang. "Label Specific Multi-Semantics Metric Learning for Multi-Label Classification: Global Consideration Helps." In Thirty-Second International Joint Conference on Artificial Intelligence {IJCAI-23}. International Joint Conferences on Artificial Intelligence Organization, 2023. http://dx.doi.org/10.24963/ijcai.2023/451.

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In multi-label classification, it is critical to capitalize on complicated data structures and semantic relationships. Metric learning serves as an effective strategy to provide a better measurement of distances between examples. Existing works on metric learning for multi-label classification mainly learn one single global metric that characterizes latent semantic similarity between multi-label instances. However, such single-semantics metric exploitation approaches can not capture the intrinsic properties of multi-label data possessed of rich semantics. In this paper, the first attempt towar

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Reports on the topic "Metric space"

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Grunsky, E. C., C. W. Brauhart, S. Hagemann, and B. Dubé. The magmato-hydrothermal space: a new metric for geochemical characterization of ore deposits. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 2015. http://dx.doi.org/10.4095/295662.

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Yu, Weixiang, Gordon Richards, Peter Yoachim, and Christina Peters. A Metric for Differential Chromatic Refraction in the Context of the Legacy Survey of Space and Time. Github.com, 2020. http://dx.doi.org/10.17918/f5dn-8510.

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We provide a code repository for computing a metric to investigate how measurements of differential chromatic refraction might influence choices for survey strategy in the Rubin Observatory Legacy Survey of Space and Time.

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Lynch, James F. A Higgs Universe and the flow of time. Woods Hole Oceanographic Institution, 2024. http://dx.doi.org/10.1575/1912/69338.

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Theoretically considering velocities greater than c implies considering an observer’s past and extends the overall analysis into the complex plane. By using a series of rotations by i in the complex plane, one can create a four-lobed structure of “instants of time,” which together with considering matter and antimatter in the lobes and the +/- sense of the rotation, leads to a Higgs field representation of space and time. A 10x10 metric is developed for this system as well as a generalized spacetime interval. It is also shown that the Friedmann Equations are consistent with our “Higgs Cosmolog

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Ganti, Venkatesh, Raghu Ramakrishnan, Johannes Gehrke, Allison Powell, and James French. Clustering Large Datasets in Arbitrary Metric Spaces. Defense Technical Information Center, 2006. http://dx.doi.org/10.21236/ada447010.

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Clayton, John D., David L. McDowell, and Douglas J. Bammann. Anholonomic Configuration Spaces and Metric Tensors in Finite Elastoplasticity. Defense Technical Information Center, 2006. http://dx.doi.org/10.21236/ada445112.

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Matei, Ion, Christoforos Somarakis, and John S. Baras. A Randomized Gossip Consenus Algorithm on Convex Metric Spaces. Defense Technical Information Center, 2012. http://dx.doi.org/10.21236/ada588967.

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Randrup, Thomas B., Agnes Pierre, Niel Sang, and Kjell Nilson. Equity in Green Space Planning and Management : synthesis study on data availability for the development of a socio-ecological index. SLU Movium Think Tank, 2025. https://doi.org/10.54612/a.7h5gdnod5n.

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As cities densify to meet environmental and economic goals, the equitable distribution of urban green spaces (UGS) becomes critical for fostering community well-being, promoting environmental justice, and enhancing climate resilience. This report presents a synthesis study conducted by the Swedish University of Agricultural Sciences (SLU) in collaboration with Nilsson Landscape, aimed at understanding the relationship between socio-economy and accessibility to UGS, to assess and enhance green equity in urban environments. The research focuses on Malmö specifically, and have involved Region Skå

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Rao, C. R. Differential Metrics in Probability Spaces Based on Entropy and Divergence Measures. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada160301.

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Young, David, Sean McGill, Ashley Elkins, Marin Kress, Brandan Scully, and Rachel Bain. New metrics for managing waterways : vessel encroachment volume for selected South Atlantic Division ports. Engineer Research and Development Center (U.S.), 2024. http://dx.doi.org/10.21079/11681/49216.

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The US Army Corps of Engineers (USACE) uses two metrics to evaluate maintenance for coastal navigation projects: cargo tonnage at the associated port and the controlling depth in the channel relative to the authorized channel depth. These are calculated through normal business practices and describe the relative importance (tonnage) of the port and the operating condition (controlling depth) of the channel. They are incorporated into a risk-based decision framework that directs funds to locations where channel conditions have deteriorated. Using Automatic Identification System (AIS) vessel-pos

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Perdigão, Rui A. P. Information physics and quantum space technologies for natural hazard sensing, modelling and prediction. Meteoceanics, 2021. http://dx.doi.org/10.46337/210930.

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Disruptive socio-natural transformations and climatic change, where system invariants and symmetries break down, defy the traditional complexity paradigms such as machine learning and artificial intelligence. In order to overcome this, we introduced non-ergodic Information Physics, bringing physical meaning to inferential metrics, and a coevolving flexibility to the metrics of information transfer, resulting in new methods for causal discovery and attribution. With this in hand, we develop novel dynamic models and analysis algorithms natively built for quantum information technological platfor

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