Relevant bibliographies by topics / Metric spaces

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Metric spaces'

Author: Grafiati
Published: 4 June 2021
Last updated: 31 July 2024

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Journal articles on the topic "Metric spaces"

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Öner, Tarkan, and Alexander Šostak. "Some Remarks on Fuzzy sb-Metric Spaces." Mathematics 8, no. 12 (November 27, 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 of fuzzy metric and fuzzy b-metric spaces. We prove that the topology induced by a fuzzy sb-metric is metrizable. A characterization of completeness in terms of diameter zero sets in these structures is given. We investigate products and coproducts in the naturally defined category of fuzzy sb-metric spaces.
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Fora, Ali Ahmad Ali, Mourad Oqla Massa’deh, and Mohammad Saleh Bataineh. "M-FUZZY METRIC SPACES AND D-METRIC SPACES." Advances in Fuzzy Sets and Systems 21, no. 4 (April 7, 2017): 281–89. http://dx.doi.org/10.17654/fs021040281.

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Naidu, S. V. R., K. P. R. Rao, and N. Srinivasa Rao. "On the topology ofD-metric spaces and generation ofD-metric spaces from metric spaces." International Journal of Mathematics and Mathematical Sciences 2004, no. 51 (2004): 2719–40. http://dx.doi.org/10.1155/s0161171204311257.

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An example of aD-metric space is given, in whichD-metric convergence does not define a topology and in which a convergent sequence can have infinitely many limits. Certain methods for constructingD-metric spaces from a given metric space are developed and are used in constructing (1) an example of aD-metric space in whichD-metric convergence defines a topology which isT1but not Hausdorff, and (2) an example of aD-metric space in whichD-metric convergence defines a metrizable topology but theD-metric is not continuous even in a single variable.
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Isah, Ahmed. "METRICS AND METRIC SPACES OF SOFT MULTISETS." FUDMA JOURNAL OF SCIENCES 7, no. 1 (February 28, 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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Nădăban, Sorin. "Fuzzy b-Metric Spaces." International Journal of Computers Communications & Control 11, no. 2 (January 26, 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 ascending family of quasi-pseudo-b-metrics is established. The use of fuzzy b-metric spaces and fuzzy quasi-b-metric spaces in the study of denotational semantics and their applications in control theory will be an important next step.
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Li, Changqing, Yanlan Zhang, and Jing Zhang. "On statistical convergence in fuzzy metric spaces." Journal of Intelligent & Fuzzy Systems 39, no. 3 (October 7, 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 introduce the concept of sts-convergence in fuzzy metric spaces. Then we characterize those fuzzy metric spaces in which all convergent sequences are sts-convergent. Finally, we study sts-Cauchy sequences in fuzzy metric spaces and sts-completeness of fuzzy metric spaces.
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BOWDITCH, BRIAN H. "Median and injective metric spaces." Mathematical Proceedings of the Cambridge Philosophical Society 168, no. 1 (July 27, 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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Wu, Hsien-Chung. "Convergence in Fuzzy Semi-Metric Spaces." Mathematics 6, no. 9 (September 17, 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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Kumam, Poom, Nguyen Van Dung, and Vo Thi Le Hang. "Some Equivalences between Coneb-Metric Spaces andb-Metric Spaces." Abstract and Applied Analysis 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/573740.

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We introduce ab-metric on the coneb-metric space and then prove some equivalences between them. As applications, we show that fixed point theorems on coneb-metric spaces can be obtained from fixed point theorems onb-metric spaces.
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Oltra, S., S. Romaguera, and E. A. Sánchez-Pérez. "Bicompleting weightable quasi-metric spaces and partial metric spaces." Rendiconti del Circolo Matematico di Palermo 51, no. 1 (February 2002): 151–62. http://dx.doi.org/10.1007/bf02871458.

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Dissertations / Theses on the topic "Metric spaces"

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Razafindrakoto, Ando Desire. "Hyperconvex metric spaces." Thesis, Stellenbosch : University of Stellenbosch, 2010. http://hdl.handle.net/10019.1/4106.

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Thesis (MSc (Mathematics))--University of Stellenbosch, 2010.
ENGLISH ABSTRACT: One of the early results that we encounter in Analysis is that every metric space admits a completion, that is a complete metric space in which it can be densely embedded. We present in this work a new construction which appears to be more general and yet has nice properties. These spaces subsequently called hyperconvex spaces allow one to extend nonexpansive mappings, that is mappings that do not increase distances, disregarding the properties of the spaces in which they are defined. In particular, theorems of Hahn-Banach type can be deduced for normed spaces and some subsidiary results such as fixed point theorems can be observed. Our main purpose is to look at the structures of this new type of “completion”. We will see in particular that the class of hyperconvex spaces is as large as that of complete metric spaces.
AFRIKAANSE OPSOMMING: Een van die eerste resultate wat in die Analise teegekom word is dat enige metriese ruimte ’n vervollediging het, oftewel dat daar ’n volledige metriese ruimte bestaan waarin die betrokke metriese ruimte dig bevat word. In hierdie werkstuk beskryf ons sogenaamde hiperkonvekse ruimtes. Dit gee ’n konstruksie wat blyk om meer algemeen te wees, maar steeds gunstige eienskappe het. Hiermee kan nie-uitbreidende, oftewel afbeeldings wat nie afstande rek nie, uitgebrei word sodanig dat die eienskappe van die ruimte waarop dit gedefinieer is nie ’n rol speel nie. In die besonder kan stellings van die Hahn- Banach-tipe afgelei word vir genormeerde ruimtes en sekere addisionele ressultate ondere vastepuntstellings kan bewys word. Ons hoofdoel is om hiperkonvekse ruimtes te ondersoek. In die besonder toon ons aan dat die klas van alle hiperkonvekse ruimtes net so groot soos die klas van alle metriese ruimtes is.
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Al-Harbi, Sami. "Clustering in metric spaces." Thesis, University of East Anglia, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.396604.

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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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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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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.

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 spaces accessible also for senior undergraduate students with only basic knowledge of functional analysis. We also give an introduction to the tools needed to deal with the Newtonian spaces. This includes measure theory and curves in general metric spaces.

Many of the properties of ordinary Sobolev spaces also apply in the generalized setting of the Newtonian spaces. This thesis includes proofs of the fact that the Newtonian spaces are Banach spaces and that under mild additional assumptions Lipschitz functions are dense there. To make them more accessible, the proofs have been extended with comments and details previously omitted. Examples are given to illustrate new concepts.

This thesis also includes my own result on the capacity associated with Newtonian spaces. This is the theorem that if a set has p-capacity zero, then the capacity of that set is zero for all smaller values of p.

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Lee, Seunghwan Han. "Probabilistic reasoning on metric spaces." [Bloomington, Ind.] : Indiana University, 2009. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3380096.

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Thesis (Ph.D.)--Indiana University, Dept. of Mathematics and Cognitive Science, 2009.
Title from PDF t.p. (viewed on Jul 19, 2010). Source: Dissertation Abstracts International, Volume: 70-12, Section: B, page: 7604. Adviser: Lawrence S. Moss.
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Otafudu, Olivier Olela. "Convexity in quasi-metric spaces." Doctoral thesis, University of Cape Town, 2012. http://hdl.handle.net/11427/10950.

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Includes abstract.
Includes bibliographical references.
The principal aim of this thesis is to investigate the existence of an injective hull in the categories of T-quasi-metric spaces and of T-ultra-quasi-metric spaces with nonexpansive maps.
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Calisti, Matteo. "Differential calculus in metric measure spaces." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/21781/.

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L'obbiettivo di questa tesi è la definizione del calcolo differenziale e dell'operatore di Laplace in spazi metrici di misura. Nel primo capitolo vengono introdotte le definizioni e proprietà principali degli spazi metrici di misura mentre nel secondo quelle riguardanti le funzioni lipschitziane e la derivata metrica di curve assolutamente continue. Nel terzo capitolo quindi viene definito il concetto di p-supergradiente debole e di conseguenza la classe di Sobolev S^p. Nel quarto capitolo viene poi studiata la generalizzazione del concetto di differenziale di f applicato al gradiente di g che da luogo a due funzioni che in generale risultano diverse, ma se coincidono lo spazio verrà detto q-infinitesimamente strettamente convesso. Vengono quindi dimostrate alcune regole della catena per per queste due funzioni attraverso la dualità fra lo spazio S^p e un opportuno spazio di misure dette q-piani test. In particolare mediante l'introduzione del funzionale energia di Cheeger e il suo flusso-gradiente sarà possibile associare un piano di trasporto al gradiente di una funzione in S^p. Nel quinto capitolo viene definito il p-laplaciano e le regole di calcolo provate precedentemente saranno usate per provare quelle per il laplaciano. Verranno poi definiti gli spazi infitesimamente di Hilbert: in questo caso il laplaciano assume un solo valore e risulta linearmente dipendente da g e si dimostra un'identificazione tra differenziali e gradienti. Nell'ultima parte del quinto capitolo infine viene mostrata un'applicazione del calcolo differenziale in spazi metrici di misura al gruppo di Heisenberg, considerandolo uno spazio metrico di misura munito della metrica di Korany e la misura di Lebesgue. Nella prima parte si mostra che il laplaciano metrico coincide con quello subriemanniano. Viene poi considerata nella seconda parte la sottovarietà {x=0} e si dimostra come il laplaciano metrico sia diverso da quello differenziale.
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Amato, Giuseppe. "Approximate similarity search in metric spaces." [S.l.] : [s.n.], 2002. http://deposit.ddb.de/cgi-bin/dokserv?idn=964997347.

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Palmer, Ian Christian. "Riemannian geometry of compact metric spaces." Diss., Georgia Institute of Technology, 2010. http://hdl.handle.net/1853/34744.

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A construction is given for which the Hausdorff measure and dimension of an arbitrary abstract compact metric space (X, d) can be encoded in a spectral triple. By introducing the concept of resolving sequence of open covers, conditions are given under which the topology, metric, and Hausdorff measure can be recovered from a spectral triple dependent on such a sequence. The construction holds for arbitrary compact metric spaces, generalizing previous results for fractals, as well as the original setting of manifolds, and also holds when Hausdorff and box dimensions differ---in particular, it does not depend on any self-similarity or regularity conditions on the space. The only restriction on the space is that it have positive s₀ dimensional Hausdorff measure, where s₀ is the Hausdorff dimension of the space, assumed to be finite. Also, X does not need to be embedded in another space, such as Rⁿ.
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Kilbane, James. "Finite metric subsets of Banach spaces." Thesis, University of Cambridge, 2019. https://www.repository.cam.ac.uk/handle/1810/288272.

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The central idea in this thesis is the introduction of a new isometric invariant of a Banach space. This is Property AI-I. A Banach space has Property AI-I if whenever a finite metric space almost-isometrically embeds into the space, it isometrically embeds. To study this property we introduce two further properties that can be thought of as finite metric variants of Dvoretzky's Theorem and Krivine's Theorem. We say that a Banach space satisfies the Finite Isometric Dvoretzky Property (FIDP) if it contains every finite subset of $\ell_2$ isometrically. We say that a Banach space has the Finite Isometric Krivine Property (FIKP) if whenever $\ell_p$ is finitely representable in the space then it contains every subset of $\ell_p$ isometrically. We show that every infinite-dimensional Banach space \emph{nearly} has FIDP and every Banach space nearly has FIKP. We then use convexity arguments to demonstrate that not every Banach space has FIKP, and thus we can exhibit classes of Banach spaces that fail to have Property AI-I. The methods used break down when one attempts to prove that there is a Banach space without FIDP and we conjecture that every infinite-dimensional Banach space has Property FIDP.
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Books on the topic "Metric spaces"

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K, Jain P. Metric spaces. New Delhi: Narosa Publishing House, 1993.

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Magnus, Robert. Metric Spaces. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-94946-4.

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Chistyakov, Vyacheslav. Metric Modular Spaces. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-25283-4.

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Schweizer, B. Probabilistic metric spaces. Mineola, N.Y: Dover Publications, 2005.

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Lin, Shou, and Ziqiu Yun. Generalized Metric Spaces and Mappings. Paris: Atlantis Press, 2016. http://dx.doi.org/10.2991/978-94-6239-216-8.

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Benaïm, Michel, and Tobias Hurth. Markov Chains on Metric Spaces. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-11822-7.

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Takushiro, Ochiai, ed. Kähler metric and moduli spaces. Boston: Academic Press, 1990.

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Zaslavski, Alexander J. Turnpike Phenomenon in Metric Spaces. Cham: Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-27208-0.

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Alvarado, Ryan, and Marius Mitrea. Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18132-5.

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A, Sutherland W. Introduction to metric and topological spaces. 2nd ed. Oxford: Oxford University Press, 2009.

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Book chapters on the topic "Metric spaces"

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Clason, Christian. "Metric Spaces." In Compact Textbooks in Mathematics, 3–8. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-52784-6_1.

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Roman, Steven. "Metric Spaces." In Advanced Linear Algebra, 239–61. New York, NY: Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4757-2178-2_13.

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Ovchinnikov, Sergei. "Metric Spaces." In Universitext, 19–46. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91512-8_2.

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Tao, Terence. "Metric spaces." In Texts and Readings in Mathematics, 1–27. Singapore: Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-1804-6_1.

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Montesinos, Vicente, Peter Zizler, and Václav Zizler. "Metric Spaces." In An Introduction to Modern Analysis, 283–338. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12481-0_6.

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Komornik, Vilmos. "Metric Spaces." In Springer Undergraduate Mathematics Series, 3–35. London: Springer London, 2017. http://dx.doi.org/10.1007/978-1-4471-7316-8_1.

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Bourbaki, Nicolas. "Metric Spaces." In Elements of the History of Mathematics, 165–66. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-61693-8_16.

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Lebedev, L. P., and I. I. Vorovich. "Metric Spaces." In Springer Monographs in Mathematics, 7–119. New York, NY: Springer New York, 2003. http://dx.doi.org/10.1007/0-387-22725-3_2.

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Hromadka, Theodore, and Robert Whitley. "Metric Spaces." In Foundations of the Complex Variable Boundary Element Method, 21–30. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05954-9_2.

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Gasiński, Leszek, and Nikolaos S. Papageorgiou. "Metric Spaces." In Exercises in Analysis, 1–191. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06176-4_1.

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Conference papers on the topic "Metric spaces"

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Linial, Nathan. "Finite metric spaces." In the eighteenth annual symposium. New York, New York, USA: ACM Press, 2002. http://dx.doi.org/10.1145/513400.513441.

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Mohammedali, Mayada N. "A new approach to G-metric spaces: Algebra G-fuzzy metric spaces." In INTERNATIONAL CONFERENCE ON SCIENTIFIC RESEARCH & INNOVATION (ICSRI 2022). AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0150796.

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FUTAMURA, TOSHIHIDE, PETTERI HARJULEHTO, PETER HÄSTÖ, YOSHIHIRO MIZUTA, and TETSU SHIMOMURA. "VARIABLE EXPONENT SPACES ON METRIC MEASURE SPACES." In Proceedings of the 5th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812835635_0010.

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Kovacs, L. "Rule approximation in metric spaces." In 2010 IEEE 8th International Symposium on Applied Machine Intelligence and Informatics (SAMI 2010). IEEE, 2010. http://dx.doi.org/10.1109/sami.2010.5423702.

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Simonov, Sergey. "Isometric model of metric spaces." In 2018 Days on Diffraction (DD). IEEE, 2018. http://dx.doi.org/10.1109/dd.2018.8553616.

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Croitoru, Anca, Gabriela Apreutesei, and Nikos E. Mastorakis. "Properties of C-metric spaces." In MATHEMATICAL METHODS AND COMPUTATIONAL TECHNIQUES IN SCIENCE AND ENGINEERING. Author(s), 2017. http://dx.doi.org/10.1063/1.4996673.

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Malleswari, V. Siva Naga, and Dr V. Amarendra Babu. "Intuitionistic fuzzy soft metric spaces." In INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (ICMSA-2019). AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0014430.

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Xue, Zhao-Rui, and Min-Xia Luo. "Interval-Valued Logic Metric Spaces." In 4th Annual International Conference on Management, Economics and Social Development (ICMESD 2018). Paris, France: Atlantis Press, 2018. http://dx.doi.org/10.2991/icmesd-18.2018.168.

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Abraham, Ittai, Yair Bartal, and Ofer Neiman. "Local embeddings of metric spaces." In the thirty-ninth annual ACM symposium. New York, New York, USA: ACM Press, 2007. http://dx.doi.org/10.1145/1250790.1250883.

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Schroder, Matthias, and Florian Steinberg. "Bounded time computation on metric spaces and Banach spaces." In 2017 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS). IEEE, 2017. http://dx.doi.org/10.1109/lics.2017.8005139.

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Reports on the topic "Metric spaces"

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Ganti, Venkatesh, Raghu Ramakrishnan, Johannes Gehrke, Allison Powell, and James French. Clustering Large Datasets in Arbitrary Metric Spaces. Fort Belvoir, VA: Defense Technical Information Center, January 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. Fort Belvoir, VA: Defense Technical Information Center, February 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. Fort Belvoir, VA: Defense Technical Information Center, January 2012. http://dx.doi.org/10.21236/ada588967.

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

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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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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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Perdigão, Rui A. P. Information physics and quantum space technologies for natural hazard sensing, modelling and prediction. Meteoceanics, September 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 platforms, expediting complex system computations and rigour. Moreover, we introduce novel quantum sensing technologies in our Meteoceanics satellite constellation, providing unprecedented spatiotemporal coverage, resolution and lead, whilst using exclusively sustainable materials and processes across the value chain. Our technologies bring out novel information physical fingerprints of extreme events, with recently proven records in capturing early warning signs for extreme hydro-meteorologic events and seismic events, and do so with unprecedented quantum-grade resolution, robustness, security, speed and fidelity in sensing, processing and communication. Our advances, from Earth to Space, further provide crucial predictive edge and added value to early warning systems of natural hazards and long-term predictions supporting climatic security and action.
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DiDomizio, Matthew, and Jonathan Butta. Measurement of Heat Transfer and Fire Damage Patterns on Walls for Fire Model Validation. UL Research Institutes, July 2024. http://dx.doi.org/10.54206/102376/hnkr9109.

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Fire models are presently employed by fire investigators to make predictions of fire dynamics within structures. Predictions include the evolution of gas temperatures and velocities, smoke movement, fire growth and spread, and thermal exposures to surrounding objects, such as walls. Heat flux varies spatially over exposed walls based on the complex thermal interactions within the fire environment, and is the driving factor for thermally induced fire damage. A fire model predicts the temperature and heat transfer through walls based on field predictions, such as radiative and convective heat flux, and is also subject to the boundary condition represen-tation, which is at the discretion of model practitioners. At the time of writing, Fire Dynamics Simulator can represent in-depth heat transfer through walls, and transverse heat transfer is in a preliminary development stage. Critically, limited suitable data exists for validation of heat trans-fer through walls exposed to fires. Mass loss and discoloration fire effects are directly related to the heat transfer and thermal decomposition of walls, therefore it is crucial that the representation of transverse heat transfer in walls in fire models be validated to ensure that fire investigators can produce accurate simulations and reconstructions with these tools. The purpose of this study was to conduct a series of experiments to obtain data that addresses three validation spaces: 1) thermal exposure to walls from fires; 2) heat transfer within walls exposed to fires; and 3) fire damage patterns arising on walls exposed to fires. Fire Safety Research Institute, part of UL Research Institutes, in collaboration with the Bureau of Alcohol, Tobacco, Firearms and Explosives Fire Research Laboratory, led this novel research endeavor. Experiments were performed on three types of walls to address the needs in this validation space: 1. Steel sheet (304 stainless steel, 0.793 mm thick, coated in high-emissivity high-temperature paint on both sides). This wall type was used to support the heat flux validation objective. By combining measurements of gas temperatures near the wall with surface temperatures obtained using infrared thermography, estimates of the incident heat flux to the wall were produced. 2. Calcium silicate board (BNZ Marinite I, 12.7 mm thick). This wall type was used to support the heat transfer validation objective. Since calcium silicate board is a noncombustible material with well-characterized thermophysical properties at elevated temperatures, measurements of surface temperature may be used to validate transverse heat transfer in a fire model without the need to account for a decomposition mechanism. 3. Gypsum wallboard (USG Sheetrock Ultralight, 12.7 mm thick, coated in white latex paint on the exposed side). This wall type was used to support the fire damage patterns validation objective. Two types of fire effects were considered: 1) discoloration and charring of the painted paper facing of the gypsum wallboard; and 2) mass loss of the gypsum wallboard (which is related to the calcination of the core material). In addition to temperature and heat flux measurements, high resolution photographs of fire patterns were recorded, and mass loss over the entirety of the wall was measured by cutting the wall into smaller samples and measuring the mass of each individual sample. A total of 63 experiments were conducted, encompassing seven fire sources and three wall types (each combination conducted in triplicate). Fire sources included a natural gas burner, gasoline and heptane pools, wood cribs, and upholstered furniture. A methodology was developed for obtaining estimates of field heat flux to a wall using a large plate heat flux sensor. This included a numerical optimization scheme to account for convection heat transfer. These data characterized the incident heat flux received by calcium silicate board and gypsum wallboard in subsequent experiments. Fire damage patterns on the gypsum wallboard, attributed to discoloration and mass loss fire effects, were measured. It was found that heat flux and mass loss fields were similar for a given fire type, but the relationship between these measurements was not consistent across all fire types. Therefore, it was concluded that cumulative heat flux does not adequately describe the mass loss fire effect. Fire damage patterns attributed to the discoloration fire effect were defined as the line of demarcation separating charred and uncharred regions of the wall. It was found that the average values of cumulative heat flux and mass loss ratio coinciding with the fire damage patterns were 10.41 ± 1.51 MJ m−2 and 14.86 ± 2.08 %, respectively. These damage metrics may have utility in predicting char delineation damage patterns in gypsum wallboard using a fire model, with the mass loss ratio metric being overall the best fit over all exposures considered. The dataset produced in this study has been published to a public repository, and may be accessed from the following URL: <https://doi.org/10.5281/zenodo.10543089>.
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Borgwardt, Stefan, Walter Forkel, and Alisa Kovtunova. Finding New Diamonds: Temporal Minimal-World Query Answering over Sparse ABoxes. Technische Universität Dresden, 2019. http://dx.doi.org/10.25368/2023.223.

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Lightweight temporal ontology languages have become a very active field of research in recent years. Many real-world applications, like processing electronic health records (EHRs), inherently contain a temporal dimension, and require efficient reasoning algorithms. Moreover, since medical data is not recorded on a regular basis, reasoners must deal with sparse data with potentially large temporal gaps. In this paper, we introduce a temporal extension of the tractable language ELH⊥, which features a new class of convex diamond operators that can be used to bridge temporal gaps. We develop a completion algorithm for our logic, which shows that entailment remains tractable. Based on this, we develop a minimal-world semantics for answering metric temporal conjunctive queries with negation. We show that query answering is combined first-order rewritable, and hence in polynomial time in data complexity.
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Hausmann, Ricardo, and Bailey Klinger. Structural Transformation in Ecuador. Inter-American Development Bank, April 2010. http://dx.doi.org/10.18235/0008400.

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This paper applies new techniques and metrics to analyze Ecuador's past record of and future opportunities for structural transformation. Ecuador's export dynamics and the emergence of new export activities have been the historical drivers of the country's growth, but recently Ecuador's export basket has undergone little structural transformation. The same broad sectors continue to dominate, and the overall sophistication of the export basket has actually declined in recent years. In order to consider why movement to new, more sophisticated export activities has lagged in Ecuador, we examine export connectedness and find that the country is concentrated in a peripheral part of the product space. We quantitatively scan Ecuador's efficient frontier and identify new, high-potential export activities that are nearby in the product space. This sector evaluation provides valuable information for the government to prioritize dialogue and interventions, but it is not meant to be a conclusive identification of "winners". Rather, we provide policy guidelines to facilitate the emergence of these and other new export activities, dealing with the sector-specificity of much of what the government must provide to the private sector to succeed while at the same time avoiding the well-known perils of traditional industrial policies.
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