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Relevant bibliographies by topics / Numbers, Cardinal

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Academic literature on the topic 'Numbers, Cardinal'

Author: Grafiati

Published: 4 June 2021

Last updated: 14 February 2022

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Journal articles on the topic "Numbers, Cardinal"

1

Koch, Sebastian. "Extended Natural Numbers and Counters." Formalized Mathematics 28, no. 3 (2020): 239–49. http://dx.doi.org/10.2478/forma-2020-0021.

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Summary This article introduces extended natural numbers, i.e. the set ℕ ∪ {+∞}, in Mizar [4], [3] and formalizes a way to list a cardinal numbers of cardinals. Both concepts have applications in graph theory.

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Wygralak, Maciej. "Generalized cardinal numbers and operations on them." Fuzzy Sets and Systems 53, no. 1 (1993): 49–85. http://dx.doi.org/10.1016/0165-0114(93)90523-k.

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Wygralak, Maciej. "Generalized cardinal numbers and operations on them." Fuzzy Sets and Systems 62, no. 3 (1994): 375. http://dx.doi.org/10.1016/0165-0114(94)90123-6.

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Liu, Andreas. "Bounds for covering numbers." Journal of Symbolic Logic 71, no. 4 (2006): 1303–10. http://dx.doi.org/10.2178/jsl/1164060456.

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AbstractLet λ be a singular cardinal of uncountable cofinality ν. Under various assumptions about the sizes of covering families for cardinals below λ, we prove upper bounds for the covering number COV(λ. λ. ν+. 2). This covering number is closely related to the cofinality of the partial order ([λ]ν. ⊆).

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Jech, Thomas. "Singular Cardinals and the PCF Theory." Bulletin of Symbolic Logic 1, no. 4 (1995): 408–24. http://dx.doi.org/10.2307/421130.

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§1. Introduction. Among the most remarkable discoveries in set theory in the last quarter century is the rich structure of the arithmetic of singular cardinals, and its deep relationship to large cardinals. The problem of finding a complete set of rules describing the behavior of the continuum function 2ℵα for singular ℵα's, known as the Singular Cardinals Problem, has been attacked by many different techniques, involving forcing, large cardinals, inner models, and various combinatorial methods. The work on the singular cardinals problem has led to many often surprising results, culminating in

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Giaquinto, Marcus. "Cognitive access to numbers: the philosophical significance of empirical findings about basic number abilities." Philosophical Transactions of the Royal Society B: Biological Sciences 373, no. 1740 (2018): 20160520. http://dx.doi.org/10.1098/rstb.2016.0520.

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How can we acquire a grasp of cardinal numbers, even the first very small positive cardinal numbers, given that they are abstract mathematical entities? That problem of cognitive access is the main focus of this paper. All the major rival views about the nature and existence of cardinal numbers face difficulties; and the view most consonant with our normal thought and talk about numbers, the view that cardinal numbers are sizes of sets, runs into the cognitive access problem. The source of the problem is the plausible assumption that cognitive access to something requires causal contact with i

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Hodes, Harold T. "On some concepts associated with finite cardinal numbers." Behavioral and Brain Sciences 31, no. 6 (2008): 657–58. http://dx.doi.org/10.1017/s0140525x08005736.

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AbstractI catalog several concepts associated with finite cardinals, and then invoke them to interpret and evaluate several passages in Rips et al.'s target article. Like the literature it discusses, the article seems overly quick to ascribe the possession of certain concepts to children (and of set-theoretic concepts to non-mathematicians).

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Higasikawa, Masasi. "Partition Principles and Infinite Sums of Cardinal Numbers." Notre Dame Journal of Formal Logic 36, no. 3 (1995): 425–34. http://dx.doi.org/10.1305/ndjfl/1040149358.

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MAGIDOR, MENACHEM, and JOUKO VÄÄNÄNEN. "ON LÖWENHEIM–SKOLEM–TARSKI NUMBERS FOR EXTENSIONS OF FIRST ORDER LOGIC." Journal of Mathematical Logic 11, no. 01 (2011): 87–113. http://dx.doi.org/10.1142/s0219061311001018.

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We show that, assuming the consistency of a supercompact cardinal, the first (weakly) inaccessible cardinal can satisfy a strong form of a Löwenheim–Skolem–Tarski theorem for the equicardinality logic L(I), a logic introduced in [5] strictly between first order logic and second order logic. On the other hand we show that in the light of present day inner model technology, nothing short of a supercompact cardinal suffices for this result. In particular, we show that the Löwenheim–Skolem–Tarski theorem for the equicardinality logic at κ implies the Singular Cardinals Hypothesis above κ as well a

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Monk, J. Donald. "Continuum cardinals generalized to Boolean algebras." Journal of Symbolic Logic 66, no. 4 (2001): 1928–58. http://dx.doi.org/10.2307/2694986.

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A number of specific cardinal numbers have been defined in terms of /fin or ωω. Some have been generalized to higher cardinals, and some even to arbitrary Boolean algebras. Here we study eight of these cardinals, defining their generalizations to higher cardinals, and then defining them for Boolean algebras. We then attempt to completely describe their relationships within each of several important classes of Boolean algebras.The generalizations to higher cardinals might involve several cardinals instead of just one as in the case of ω, For example, the number a associated with maximal almost

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Dissertations / Theses on the topic "Numbers, Cardinal"

1

Alsubhi, Abdullah Ibrahim. "Cardinal Numbers in Modern Standard Arabic." OpenSIUC, 2016. https://opensiuc.lib.siu.edu/theses/1846.

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Warren, Erin. "How we understand numbers." View electronic thesis, 2008. http://dl.uncw.edu/etd/2008-3/warrene/erinwarren.pdf.

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Leão, Alessandro Mignac Carneiro. "Noções básicas de infinito e números cardinais." Universidade Federal da Paraíba, 2014. http://tede.biblioteca.ufpb.br:8080/handle/tede/7649.

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Submitted by Maria Suzana Diniz (msuzanad@hotmail.com) on 2015-11-26T14:55:10Z No. of bitstreams: 1 arquivototal.pdf: 1060992 bytes, checksum: 69f9bccb074f43cce04d083271639cd5 (MD5)<br>Approved for entry into archive by Maria Suzana Diniz (msuzanad@hotmail.com) on 2015-11-27T11:21:46Z (GMT) No. of bitstreams: 1 arquivototal.pdf: 1060992 bytes, checksum: 69f9bccb074f43cce04d083271639cd5 (MD5)<br>Made available in DSpace on 2015-11-27T11:21:46Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1060992 bytes, checksum: 69f9bccb074f43cce04d083271639cd5 (MD5) Previous issue date: 2014-02-27<br>C

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Khafizov, Farid T. "Descriptions and Computation of Ultrapowers in L(R)." Thesis, University of North Texas, 1995. https://digital.library.unt.edu/ark:/67531/metadc277867/.

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The results from this dissertation are an exact computation of ultrapowers by measures on cardinals $\aleph\sb{n},\ n\in w$, in $L(\IR$), and a proof that ordinals in $L(\IR$) below $\delta\sbsp{5}{1}$ represented by descriptions and the identity function with respect to sequences of measures are cardinals. An introduction to the subject with the basic definitions and well known facts is presented in chapter I. In chapter II, we define a class of measures on the $\aleph\sb{n},\ n\in\omega$, in $L(\IR$) and derive a formula for an exact computation of the ultrapowers of cardinals by these measu

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Bultinck, Bert. "Numerous meanings : the meaning of English cardinals and the legacy of Paul Grice /." Amsterdam [u.a.] : Elsevier, 2005. http://www.loc.gov/catdir/enhancements/fy0625/2005053106-d.html.

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Tsaprounis, Konstantinos. "Large cardinals and resurrection axioms." Doctoral thesis, Universitat de Barcelona, 2012. http://hdl.handle.net/10803/97038.

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In the current dissertation we work in set theory and we study both various large cardinal hierarchies and issues related to forcing axioms and generic absoluteness. The necessary preliminaries may be found, as it should be anticipated, in the first chapter. In Chapter 2, we study several C(n) - cardinals as introduced by J. Bagaria (cf. [1]). In the context of an elementary embedding associated with some fixed C(n) - cardinal, and under adequate assumptions, we derive consistency (upper) bounds for the large cardinal notion at hand; in particular, we deal with the C(n) - versions of talln

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Mekina, Emilienne-Nadège. "Description du fang-nzaman, langue bantoue du Gabon : phonologie et classes nominales." Thesis, Université de Lorraine, 2012. http://www.theses.fr/2012LORR0328.

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Cette thèse consiste en une description du Fang-Nzaman, langue bantoue parlée au Gabon en Afrique Centrale. Le travail présente la phonologie en commençant par l'identification des phonèmes, avec la mise en relief des paires minimales qui permettent d'opposer les phonèmes : /mb/ vs /b/ et de les classer comme unités distinctives. Le choix des oppositions qui sont présentées a été fait en fonction des éléments nécessaires à l'identification dans certaines positions. Pour les phonèmes, le lexème permet les oppositions dans les structures les plus usitées. Les phonèmes sont ainsi définis dans leu

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Jakobsson, Helén, and Malin Eklånge. "Att möjliggöra lärandet av addition och subtraktion utifrån tals del- helhetsrelationer : En variationsteoretisk analys av läromedel i matematik för årskurs ett." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-98609.

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Den vanligaste arbetsformen i matematikundervisningen är att använda sig av ett läromedel. Därav vårt syfte med denna studie, som är att analysera hur tals del-helhetsrelation behandlas i den inledande undervisningen av addition och subtraktion i de tre vanligaste förekommande läromedlen i Sverige. Utifrån delar av variationsteori har vi analyserat hur innehållet i läromedlen gör det möjligt för eleverna att se och använda sig av tals del-helhetsrelation samt vilka representationer som används i läromedlen för att synliggöra tals del-helhetsrelationer. Av resultatet framgår att det inte är giv

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Skwarchuk, Sheri-Lynn. "Children's acquisition of the English cardinal number words, a special case of vocabulary development." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0011/NQ30648.pdf.

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Street, Jennifer R. "Have National Collegiate Athletic Association institutions increased the number of American Heart Association recommendations for cardiac screening?" Morgantown, W. Va. : [West Virginia University Libraries], 2008. https://eidr.wvu.edu/etd/documentdata.eTD?documentid=5549.

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Books on the topic "Numbers, Cardinal"

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Broun, Hob. Cardinal numbers. Knopf, 1988.

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Shelah, Saharon. Cardinal arithmetic. Clarendon Press, 1994.

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Karsten, Steffens, and Weitz E. 1965-, eds. Introduction to cardinal arithmetic. Birkhäuser Verlag, 1999.

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Griffiths, Rose. Numbers. G. Stevens, 1994.

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Novick, Mary. Numbers. Little Hare, 2002.

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Novick, Mary. Numbers. Little Hare, 2002.

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Sybel, Harlin, ed. Numbers. Little Hare, 2002.

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Numbers 1, 2, 3, 4, 5. PowerKids Press, 2010.

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9

ill, Langton Bruce, ed. Cardinal numbers: An Ohio counting book. Sleeping Bear Press, 2002.

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Know your numbers: School. Sandcastle an imprint of ABDO Publishing, 2015.

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Book chapters on the topic "Numbers, Cardinal"

1

Brown, Arlen, and Carl Pearcy. "Cardinal numbers." In Graduate Texts in Mathematics. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-0787-0_4.

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Anglin, W. S., and J. Lambek. "Cardinal Numbers." In The Heritage of Thales. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-0803-7_44.

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Johnson, D. L. "Cardinal Numbers." In Springer Undergraduate Mathematics Series. Springer London, 1998. http://dx.doi.org/10.1007/978-1-4471-0603-6_6.

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Abu-Chacra, Faruk. "Cardinal numbers." In Arabic. Routledge, 2017. http://dx.doi.org/10.4324/9781315620091-34.

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Vaught, Robert L. "More on Cardinal Numbers." In Set Theory. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-0835-8_5.

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Devlin, Keith. "Ordinal and Cardinal Numbers." In The Joy of Sets. Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4612-0903-4_3.

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Srivastava, S. M. "Cardinal and Ordinal Numbers." In A Course on Borel Sets. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-642-85473-6_1.

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Vaught, Robert L. "Cardinal Numbers and Finite Sets." In Set Theory. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-0835-8_3.

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Prömel, Hans Jürgen. "Partition Relations for Cardinal Numbers." In Ramsey Theory for Discrete Structures. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-01315-2_11.

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Ziemer, William P. "Real, Cardinal, and Ordinal Numbers." In Modern Real Analysis. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-64629-9_2.

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Conference papers on the topic "Numbers, Cardinal"

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Dyczkowski, Krzysztof, Barbara Pekala, Michal Baczynski, Jaroslaw Szkola, and Tomasz Pilka. "The ordering methods of interval-valued fuzzy cardinal numbers with application in an uncertain decision making." In 2020 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2020. http://dx.doi.org/10.1109/fuzz48607.2020.9177807.

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Chen, Jiehua, Sanjukta Roy, and Manuel Sorge. "Fractional Matchings under Preferences: Stability and Optimality." In Thirtieth International Joint Conference on Artificial Intelligence {IJCAI-21}. International Joint Conferences on Artificial Intelligence Organization, 2021. http://dx.doi.org/10.24963/ijcai.2021/13.

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We study generalizations of stable matching in which agents may be matched fractionally; this models time-sharing assignments. We focus on the so-called ordinal stability and cardinal stability, and investigate the computational complexity of finding an ordinally stable or cardinally stable fractional matching which either maximizes the social welfare (i.e., the overall utilities of the agents) or the number of fully matched agents (i.e., agents whose matching values sum up to one). We complete the complexity classification of both optimization problems for both ordinal stability and cardinal

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Allen, Beth. "On the Aggregation of Preferences in Engineering Design." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/dac-21015.

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Abstract This paper considers the possibility for aggregation of preferences in engineering design. Arrow’s Impossibility Theorem applies to the aggregation of individuals’ (ordinal) preferences defined over a finite number of alternative designs. However, when the design space is infinite and when all individuals have monotone preferences or have von Neumann-Morgenstern (cardinal) utilities defined over lotteries, possibility results are available. Alternative axiomatic frameworks lead to additional aggregation procedures for cardinal utilities. For these results about collaborative design, a

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Liu, Manjiao, Zhen Liu, Jian Bai, Hong Cai, Yang Ke, and Changqing Zeng. "Abstract 121: Analysis and comparison of somatic copy number alterations in gastric cardia adenocarcinoma and gastric non-cardia adenocarcinoma." In Proceedings: AACR 107th Annual Meeting 2016; April 16-20, 2016; New Orleans, LA. American Association for Cancer Research, 2016. http://dx.doi.org/10.1158/1538-7445.am2016-121.

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Saad, Rahma, Mohammed Al- Hashemi, Theodoros Papasavvas, and Karam Turk-Adawi. "Patient Factors associated with Adherence and Change in Cardiac Risk Factors among Cardiac Rehabilitation Patients in Qatar." In Qatar University Annual Research Forum & Exhibition. Qatar University Press, 2020. http://dx.doi.org/10.29117/quarfe.2020.0159.

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Background: Cardiovascular disease is the number one killer in Qatar (1). Cardiac rehabilitation (CR) is a secondary prevention model of care for cardiac patients. It is proven that CR reduces cardiovascular mortality by 20% (2). However, CR is underutilized worldwide, with low enrolment and adherence rates (3). This study aims (a) to investigate factors associated with adherence (median number of sessions, i.e. 21), and (b) to examine the relationship between adherence and change in cardiac risk factors, i.e. blood pressure, cholesterol, and low-density lipoprotein (LDL). Method: This retrosp

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Li, Jiaoyang, Ariel Felner, Eli Boyarski, Hang Ma, and Sven Koenig. "Improved Heuristics for Multi-Agent Path Finding with Conflict-Based Search." 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.2019/63.

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Conflict-Based Search (CBS) and its enhancements are among the strongest algorithms for Multi-Agent Path Finding. Recent work introduced an admissible heuristic to guide the high-level search of CBS. In this work, we prove the limitation of this heuristic, as it is based on cardinal conflicts only. We then introduce two new admissible heuristics by reasoning about the pairwise dependencies between agents. Empirically, CBS with either new heuristic significantly improves the success rate over CBS with the recent heuristic and reduces the number of expanded nodes and runtime by up to a factor of

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Yan, Karen Chang, Mary Kate McDonough, James J. Pilla, and Chun Xu. "Stiffness Characterization Using a Dynamic Heart Phantom and Magnetic Resonance Imaging." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-65222.

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Heart disease is the number one cause of death in the United States [1]. Cardiac Magnetic Resonance Imaging (MRI) technology can be used to diagnose and evaluate a number of diseases and conditions such as coronary artery disease, damage caused by a heart attack, heart failure, and heart valve problems etc. Given the inherent difficulty in imaging the heart in motion, many efforts have been made to improve cardiac motion tracking and eliminate motion related artifacts. A dynamic heart phantom (DHP) capable of simulating true physiological motions is a valuable research tool for improving quali

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Xiangliang Zhang and Feipeng Lu. "A method for intelligently selecting minimum break point set(MBPS) from multi-MBPS with the same cardinal number considering node electric betweenness." In International Conference on Automatic Control and Artificial Intelligence (ACAI 2012). Institution of Engineering and Technology, 2012. http://dx.doi.org/10.1049/cp.2012.0933.

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Perrenot, Béatrice, Régis Vaillant, Rémy Prost, Gérard Finet, Philippe Douek, and Françoise Peyrin. "Quantitative analysis of 3D stent reconstruction from a limited number of views in cardiac rotational angiography." In Medical Imaging, edited by Jiang Hsieh and Michael J. Flynn. SPIE, 2007. http://dx.doi.org/10.1117/12.706097.

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Zhou, Fan, Ying Sun, and Jacques Beaumont. "A Multi-Zone Finite Element Model for Radiofrequency Ablation of an Infarcted Cardiac Tissue." In ASME 2007 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2007. http://dx.doi.org/10.1115/sbc2007-176090.

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A large number of modern day medical interventions rely on RF ablation. It has become the treatment of choice for many types of cardiac arrhythmia to prevent the reentrant circuits [1]. However, excessive heating during RF ablation up to 100°C can cause microexplosions and severe bleeding [2]. Optimizing parameters for RF ablation in order to produce small lesions with a minimal amount of damage and bleeding constitutes a major challenge. Utilizing a thermo-electric conduction model, we address this problem for the treatment of cardiac arrhythmia. Our objective is to provide means by which non

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Reports on the topic "Numbers, Cardinal"

1

Solovyanenko, Nina I. Legal features of innovative (digital) entrepreneurship in the agricultural and food sector. DOI CODE, 2021. http://dx.doi.org/10.18411/0131-5226-2021-70008.

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Modern agricultural production and food trade are involved in the process of digital transformation, which is a cardinal factor of sustainable development and is carried out on the basis of IT platforms, the Internet of Things, cloud computing, big data, artificial intelligence, blockchain technologies. The COVID-19 pandemic has increased the dependence of these sectors of the economy on information and communication technology infrastructure and services. At the same time, the slow updating of legislation, which lags behind the constantly improving digital technologies, not only hinders their

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Treadwell, Jonathan R., James T. Reston, Benjamin Rouse, Joann Fontanarosa, Neha Patel, and Nikhil K. Mull. Automated-Entry Patient-Generated Health Data for Chronic Conditions: The Evidence on Health Outcomes. Agency for Healthcare Research and Quality (AHRQ), 2021. http://dx.doi.org/10.23970/ahrqepctb38.

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Background. Automated-entry consumer devices that collect and transmit patient-generated health data (PGHD) are being evaluated as potential tools to aid in the management of chronic diseases. The need exists to evaluate the evidence regarding consumer PGHD technologies, particularly for devices that have not gone through Food and Drug Administration evaluation. Purpose. To summarize the research related to automated-entry consumer health technologies that provide PGHD for the prevention or management of 11 chronic diseases. Methods. The project scope was determined through discussions with Ke

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