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Relevant bibliographies by topics / Discrete metric

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Academic literature on the topic 'Discrete metric'

Author: Grafiati

Published: 4 June 2021

Last updated: 14 February 2022

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Journal articles on the topic "Discrete metric"

1

Zeng, Wei, Ren Guo, Feng Luo, and Xianfeng Gu. "Discrete heat kernel determines discrete Riemannian metric." Graphical Models 74, no. 4 (2012): 121–29. http://dx.doi.org/10.1016/j.gmod.2012.03.009.

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Agarwal, Ravi P., Mohamed Jleli, and Bessem Samet. "Some Integral Inequalities Involving Metrics." Entropy 23, no. 7 (2021): 871. http://dx.doi.org/10.3390/e23070871.

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In this work, we establish some integral inequalities involving metrics. Moreover, some applications to partial metric spaces are given. Our results are extension of previous obtained metric inequalities in the discrete case.

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Plewik, Szymon, and Marta Walczyńska. "On metric $\sigma$-discrete spaces." Banach Center Publications 108 (2016): 239–53. http://dx.doi.org/10.4064/bc108-0-18.

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MOORS, WARREN B. "FRAGMENTABILITY BY THE DISCRETE METRIC." Bulletin of the Australian Mathematical Society 91, no. 2 (2015): 303–10. http://dx.doi.org/10.1017/s0004972714000926.

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AbstractIn a recent paper, topological spaces $(X,{\it\tau})$ that are fragmented by a metric that generates the discrete topology were investigated. In the present paper we shall continue this investigation. In particular, we will show, among other things, that such spaces are ${\it\sigma}$-scattered, that is, a countable union of scattered spaces, and characterise the continuous images of separable metrisable spaces by their fragmentability properties.

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Burdyuk, V. Ya, and I. V. Burdyuk. "Discrete and continuous metric spaces." Cybernetics and Systems Analysis 28, no. 6 (1992): 950–52. http://dx.doi.org/10.1007/bf01291301.

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HUANG, WEN, JIAN LI, JEAN-PAUL THOUVENOT, LEIYE XU, and XIANGDONG YE. "Bounded complexity, mean equicontinuity and discrete spectrum." Ergodic Theory and Dynamical Systems 41, no. 2 (2019): 494–533. http://dx.doi.org/10.1017/etds.2019.66.

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We study dynamical systems that have bounded complexity with respect to three kinds metrics: the Bowen metric $d_{n}$, the max-mean metric $\hat{d}_{n}$ and the mean metric $\bar{d}_{n}$, both in topological dynamics and ergodic theory. It is shown that a topological dynamical system $(X,T)$ has bounded complexity with respect to $d_{n}$ (respectively $\hat{d}_{n}$) if and only if it is equicontinuous (respectively equicontinuous in the mean). However, we construct minimal systems that have bounded complexity with respect to $\bar{d}_{n}$ but that are not equicontinuous in the mean. It turns o

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Khatsymovsky, V. M. "On the discrete Christoffel symbols." International Journal of Modern Physics A 34, no. 30 (2019): 1950186. http://dx.doi.org/10.1142/s0217751x19501860.

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The piecewise flat space–time is equipped with a set of edge lengths and vertex coordinates. This defines a piecewise affine coordinate system and a piecewise affine metric in it, the discrete analogue of the unique torsion-free metric-compatible affine connection or of the Levi-Civita connection (or of the standard expression of the Christoffel symbols in terms of metric) mentioned in the literature, and, substituting this into the affine connection form of the Regge action of our previous work, we get a second-order form of the action. This can be expanded over metric variations from simplex

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Aslanyan, Levon H. "Metric decompositions and the discrete isoperimetry." IFAC Proceedings Volumes 33, no. 20 (2000): 457–62. http://dx.doi.org/10.1016/s1474-6670(17)38092-8.

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Barcelo, Hélène, Valerio Capraro, and Jacob A. White. "Discrete homology theory for metric spaces." Bulletin of the London Mathematical Society 46, no. 5 (2014): 889–905. http://dx.doi.org/10.1112/blms/bdu043.

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Fabel, Paul. "Metric spaces with discrete topological fundamental group." Topology and its Applications 154, no. 3 (2007): 635–38. http://dx.doi.org/10.1016/j.topol.2006.08.004.

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Dissertations / Theses on the topic "Discrete metric"

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Putwain, Rosemary Johanna. "Partial translation algebras for certain discrete metric spaces." Thesis, University of Southampton, 2010. https://eprints.soton.ac.uk/170227/.

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The notion of a partial translation algebra was introduced by Brodzki, Niblo and Wright in [11] to provide an analogue of the reduced group C*-algebra for metric spaces. Such an algebra is constructed from a partial translation structure, a structure which any bounded geometry uniformly discrete metric space admits; we prove that these structures restrict to subspaces and are preserved by uniform bijections, leading to a new proof of an existing theorem. We examine a number of examples of partial translation structures and the algebras they give rise to in detail, in particular studying cases

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Lopez, Marcos D. "Discrete Approximations of Metric Measure Spaces with Controlled Geometry." University of Cincinnati / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1439305529.

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Maier, Daniela [Verfasser], and Guido [Akademischer Betreuer] Schneider. "Nonlinear phenomena on metric and discrete necklace graphs / Daniela Maier ; Betreuer: Guido Schneider." Stuttgart : Universitätsbibliothek der Universität Stuttgart, 2019. http://d-nb.info/1195529481/34.

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Tsuchiya, Luciana Yoshie 1977. "Um estudo de reticulados q-ários com a métrica da soma." [s.n.], 2012. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306600.

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Orientador: Sueli Irene Rodrigues Costa<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica.<br>Made available in DSpace on 2018-08-20T13:21:10Z (GMT). No. of bitstreams: 1 Tsuchiya_LucianaYoshie_M.pdf: 11296327 bytes, checksum: 3b12c518b500ac555263de03beead341 (MD5) Previous issue date: 2012<br>Resumo: Reticulados no 'R^n' são conjuntos discretos de pontos gerados como combinações inteiras de vetores linearmente independentes. A estrutura e as propriedades de reticulados vêm sendo exploradas em diversas áreas, dentre el

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Champion, Daniel James. "Mobius Structures, Einstein Metrics, and Discrete Conformal Variations on Piecewise Flat Two and Three Dimensional Manifolds." Diss., The University of Arizona, 2011. http://hdl.handle.net/10150/145313.

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Spherical, Euclidean, and hyperbolic simplices can be characterized by the dihedral angles on their codimension-two faces. These characterizations analyze the Gram matrix, a matrix with entries given by cosines of dihedral angles. Hyperideal hyperbolic simplices are non-compact generalizations of hyperbolic simplices wherein the vertices lie outside hyperbolic space. We extend recent characterization results to include fully general hyperideal simplices. Our analysis utilizes the Gram matrix, however we use inversive distances instead of dihedral angles to accommodate fully general hyperideal

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Lesser, Alice. "Optimal and Hereditarily Optimal Realizations of Metric Spaces." Doctoral thesis, Uppsala University, Department of Mathematics, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-8297.

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<p>This PhD thesis, consisting of an introduction, four papers, and some supplementary results, studies the problem of finding an <i>optimal realization</i> of a given finite metric space: a weighted graph which preserves the metric's distances and has minimal total edge weight. This problem is known to be NP-hard, and solutions are not necessarily unique.</p><p>It has been conjectured that <i>extremally weighted</i> optimal realizations may be found as subgraphs of the <i>hereditarily optimal realization</i> Γ<sub>d</sub>, a graph which in general has a higher total edge weight than the optim

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Winden, Matthew Wayne. "INTEGRATING STATED PREFERENCE CHOICE ANALYSIS AND MULTI-METRIC INDICATORS IN ENVIRONMENTAL VALUATION." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1343325594.

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Simmer, Jan [Verfasser], Olaf [Akademischer Betreuer] Post, and Olaf [Gutachter] Post. "Approximation of energy forms on finitely ramified fractals by discrete graphs and related metric measure spaces / Jan Simmer ; Gutachter: Olaf Post ; Betreuer: Olaf Post." Trier : Universität Trier, 2021. http://d-nb.info/1230135057/34.

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Dinh, Ngoc Thach. "Observateur par intervalles et observateur positif." Thesis, Paris 11, 2014. http://www.theses.fr/2014PA112335/document.

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Cette thèse est construite autour de deux types d'estimation de l'état d'un système, traités séparément. Le premier problème abordé concerne la construction d'observateurs positifs basés sur la métrique de Hilbert. Le second traite de la synthèse d'observateurs par intervalles pour différentes familles de systèmes dynamiques et la construction de lois de commande robustes qui stabilisent ces systèmes.Un système positif est un système dont les variables d'état sont toujours positives ou nulles lorsque celles-ci ont des conditions initiales qui le sont. Les systèmes positifs apparaissent souvent

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Siramdasu, Yaswanth. "Discrete Tire Model Application for Vehicle Dynamics Performance Enhancement." Diss., Virginia Tech, 2015. http://hdl.handle.net/10919/74394.

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Tires are the most influential component of the vehicle as they constitute the only contact between the vehicle and the road and have to generate and transmit forces necessary for the driver to control the vehicle. The demand for the tire models are increasing due to the need to study the variations of force generation mechanisms due to various variables such as load, pressure, speed, and road surface irregularities. Another need from the vehicle manufactures is the study of potential incompatibilities associated with safety systems such as Anti-lock Braking System (ABS) and Electronic Stabili

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Books on the topic "Discrete metric"

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Discrete iterations: A metric study. Springer-Verlag, 1986.

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Kirk, William A. Handbook of Metric Fixed Point Theory. Springer Netherlands, 2001.

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Discrete Mathematics with Applications, Metric Edition. Blue Kingfisher, 2019.

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Discrete Iterations: A Metric Study (Springer Series in Computational Mathematics). Springer, 1986.

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Dribus, Benjamin F. Discrete Causal Theory: Emergent Spacetime and the Causal Metric Hypothesis. Springer, 2018.

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Dribus, Benjamin F. Discrete Causal Theory: Emergent Spacetime and the Causal Metric Hypothesis. Springer, 2017.

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Walsh, Bruce, and Michael Lynch. Short-term Changes in the Mean: 2. Truncation and Threshold Selection. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198830870.003.0014.

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The selection intensity, the mean change in a trait within a generation expressed in phenotypic standard deviations, provides an important metric for comparing the strength of selection over designs. Further, under truncation selection (only individuals above some threshold leave offspring), the selection intensity is a function of the fraction saved, and hence the breeder's equation is often expressed in terms of the selection intensity. An important special case of truncation selection is a threshold trait, wherein an individual only expresses a particular phenotype when its underlying liabi

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Golan, Amos. Info-Metrics and Statistical Inference. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199349524.003.0012.

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This chapter is the first of a two-chapter sequence looking into the relationship between info-metrics and the more familiar statistical methods of inference, with an emphasis on information-theoretic methods. In this chapter I concentrate on discrete models. The relationship between info-metrics and information-theoretic statistical methods is established via duality theory, which provides a way for specifying all inferential methods as constrained optimization models. Since the objective here is to compare different approaches and philosophies, the analysis and examples are kept simple. A ma

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Stark, David, ed. The Performance Complex. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198861669.001.0001.

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What’s valuable? Market competition provides one kind of answer. Competitions offer another. On one side, competition is an ongoing and seemingly endless process of pricings; on the other, competitions are discrete and bounded in time and location, with entry rules, judges, scores, and prizes. This book examines what happens when ever more activities in domains of everyday life are evaluated and experienced in terms of performance metrics. Unlike organized competitions, such systems are ceaseless and without formal entry. Instead of producing resolutions, their scorings create addictions. To u

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Golan, Amos. Prior Information. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199349524.003.0008.

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In this chapter I introduce and quantify prior information and show how to incorporate it into the info-metrics framework. The priors developed arise from fundamental properties of the system, from logical reasoning, or from empirical observations. I start the chapter with the derivation of priors for discrete distributions, which can be handled via the grouping property, and a detailed derivation of surprisal analysis. Constructing priors for continuous distributions is more challenging. That problem is tackled via the method of transformation groups, which is related to the mathematical conc

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Book chapters on the topic "Discrete metric"

1

Dribus, Benjamin F. "The Causal Metric Hypothesis." In Discrete Causal Theory. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-50083-6_2.

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Kapovich, Michael. "Ultralimits of Metric Spaces." In Hyperbolic Manifolds and Discrete Groups. Birkhäuser Boston, 2009. http://dx.doi.org/10.1007/978-0-8176-4913-5_9.

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Rebatel, Fabien, and Édouard Thiel. "Metric Bases for Polyhedral Gauges." In Discrete Geometry for Computer Imagery. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-19867-0_10.

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Goncharenko, Vasily, and Alexander Tuzikov. "Watershed Segmentation with Chamfer Metric." In Discrete Geometry for Computer Imagery. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11907350_44.

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Deza, Antoine, Komei Fukuda, Dmitrii Pasechnik, and Masanori Sato. "On the Skeleton of the Metric Polytope." In Discrete and Computational Geometry. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-47738-1_10.

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Saucan, Emil. "Metric Curvatures Revisited: A Brief Overview." In Modern Approaches to Discrete Curvature. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-58002-9_2.

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Hotz, Ingrid, and Hans Hagen. "Isometric Embedding for a Discrete Metric." In Geometric Modeling for Scientific Visualization. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-07443-5_2.

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Deza, Antoine, Komei Fukuda, Tomohiko Mizutani, and Cong Vo. "On the Face Lattice of the Metric Polytope." In Discrete and Computational Geometry. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-44400-8_12.

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Eklund, Patrik, and Fredrik Georgsson. "Unraveling the Thrill of Metric Image Spaces." In Discrete Geometry for Computer Imagery. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-49126-0_21.

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Rebatel, Fabien, and Édouard Thiel. "On Dimension Partitions in Discrete Metric Spaces." In Discrete Geometry for Computer Imagery. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-37067-0_2.

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Conference papers on the topic "Discrete metric"

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Maridas, Roswita Amalanathan, and B. Vijayalakshmi. "Discrete metric graphs." In PROCEEDINGS OF INTERNATIONAL CONFERENCE ON ADVANCES IN MATERIALS RESEARCH (ICAMR - 2019). AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0016907.

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Andrews, Matthew, Mohammad Taghi Hajiaghayi, Howard Karloff, and Ankur Moitra. "Capacitated Metric Labeling." In Proceedings of the Twenty-Second Annual ACM-SIAM Symposium on Discrete Algorithms. Society for Industrial and Applied Mathematics, 2011. http://dx.doi.org/10.1137/1.9781611973082.76.

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Sidiropoulos, Anastasios, Dingkang Wang, and Yusu Wang. "Metric embeddings with outliers." In Proceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms. Society for Industrial and Applied Mathematics, 2017. http://dx.doi.org/10.1137/1.9781611974782.43.

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Indyk, Piotr, and Tal Wagner. "Near-Optimal (Euclidean) Metric Compression." In Proceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms. Society for Industrial and Applied Mathematics, 2017. http://dx.doi.org/10.1137/1.9781611974782.45.

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Gomes, Viviane M., Joao R. B. Paiva, Geovanne P. Furriel, et al. "COMPLEXITY METRIC APPLIED TO DISCRETE EVENTS SYSTEMS." In 6th International Conference on Nonlinear Science and Complexity. INPE Instituto Nacional de Pesquisas Espaciais, 2016. http://dx.doi.org/10.20906/cps/nsc2016-0077.

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Lolakapuri, Phani Raj, Umang Bhaskar, Ramasuri Narayanam, Gyana R. Parija, and Pankaj S. Dayama. "Computational Aspects of Equilibria in Discrete Preference Games." In Twenty-Eighth International Joint Conference on Artificial Intelligence {IJCAI-19}. International Joint Conferences on Artificial Intelligence Organization, 2019. http://dx.doi.org/10.24963/ijcai.2019/67.

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We study the complexity of equilibrium computation in discrete preference games. These games were introduced by Chierichetti, Kleinberg, and Oren (EC '13, JCSS '18) to model decision-making by agents in a social network that choose a strategy from a finite, discrete set, balancing between their intrinsic preferences for the strategies and their desire to choose a strategy that is `similar' to their neighbours. There are thus two components: a social network with the agents as vertices, and a metric space of strategies. These games are potential games, and hence pure Nash equilibria exist. Sinc

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Kleinberg, Robert, and Aleksandrs Slivkins. "Sharp Dichotomies for Regret Minimization in Metric Spaces." In Proceedings of the Twenty-First Annual ACM-SIAM Symposium on Discrete Algorithms. Society for Industrial and Applied Mathematics, 2010. http://dx.doi.org/10.1137/1.9781611973075.68.

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Huang, Zhiyi, and Aaron Roth. "Exploiting Metric Structure for Efficient Private Query Release." In Proceedings of the Twenty-Fifth Annual ACM-SIAM Symposium on Discrete Algorithms. Society for Industrial and Applied Mathematics, 2013. http://dx.doi.org/10.1137/1.9781611973402.39.

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Ekelschot, Dirk, Marco Ceze, Scott M. Murman, and Anirban Garai. "Parallel high-order anisotropic meshing using discrete metric tensors." In AIAA Scitech 2019 Forum. American Institute of Aeronautics and Astronautics, 2019. http://dx.doi.org/10.2514/6.2019-1993.

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Taira, K., J. Frankel, and M. Keyhani. "Metric analysis for the modified discrete least-squares method." In 40th AIAA Aerospace Sciences Meeting & Exhibit. American Institute of Aeronautics and Astronautics, 2002. http://dx.doi.org/10.2514/6.2002-658.

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