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Dissertations / Theses on the topic 'Numbers'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Namasivayam, M. "Entropy numbers, s-numbers and embeddings." Thesis, University of Sussex, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.356519.

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2

Allagan, Julian Apelete D. Johnson Peter D. "Choice numbers, Ohba numbers and Hall numbers of some complete k-partite graphs." Auburn, Ala, 2009. http://hdl.handle.net/10415/1780.

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3

Fransson, Jonas. "Generalized Fibonacci Series Considered modulo n." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-26844.

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In this thesis we are investigating identities regarding Fibonacci sequences. In particular we are examiningthe so called Pisano period, which is the period for the Fibonacci sequence considered modulo n to repeatitself. The theory shows that it suces to compute Pisano periods for primes. We are also looking atthe same problems for the generalized Pisano period, which can be described as the Pisano period forthe generalized Fibonacci sequence.

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4

Anderson, Crystal Lynn. "An Introduction to Number Theory Prime Numbers and Their Applications." Digital Commons @ East Tennessee State University, 2006. https://dc.etsu.edu/etd/2222.

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The author has found, during her experience teaching students on the fourth grade level, that some concepts of number theory haven't even been introduced to the students. Some of these concepts include prime and composite numbers and their applications. Through personal research, the author has found that prime numbers are vital to the understanding of the grade level curriculum. Prime numbers are used to aide in determining divisibility, finding greatest common factors, least common multiples, and common denominators. Through experimentation, classroom examples, and homework, the author has i

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5

Chipatala, Overtone. "Polygonal numbers." Kansas State University, 2016. http://hdl.handle.net/2097/32923.

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Master of Science<br>Department of Mathematics<br>Todd Cochrane<br>Polygonal numbers are nonnegative integers constructed and represented by geometrical arrangements of equally spaced points that form regular polygons. These numbers were originally studied by Pythagoras, with their long history dating from 570 B.C, and are often referred to by the Greek mathematicians. During the ancient period, polygonal numbers were described by units which were expressed by dots or pebbles arranged to form geometrical polygons. In his "Introductio Arithmetica", Nicomachus of Gerasa (c. 100 A.D), thoroughly

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6

Tomasini, Alejandro. "Wittgensteinian Numbers." Pontificia Universidad Católica del Perú - Departamento de Humanidades, 2013. http://repositorio.pucp.edu.pe/index/handle/123456789/112986.

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In this paper I reconstruct the tractarian view of natural numbers. i show how Wittgenstein uses his conceptual apparatus (operatlon, formal concept, internal property, logical form) to elaborate analternative to the logicist definition of number. Finally, I briefly examine sorneof the criticisms that have been raised against it.<br>En este trabajo reconstruyo la concepción tractariana de los números naturales. Muestro cómo Wittgenstein usa su aparato conceptual (operación, conceptoformal, propiedad interna, forma lógica) para elaborar una definición de número alternativa a la logicista. Por ú

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7

Hostetler, Joshua. "Surreal Numbers." VCU Scholars Compass, 2012. http://scholarscompass.vcu.edu/etd/2935.

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The purpose of this thesis is to explore the Surreal Numbers from an elementary, con- structivist point of view, with the intention of introducing the numbers in a palatable way for a broad audience with minimal background in any specific mathematical field. Created from two recursive definitions, the Surreal Numbers form a class that contains a copy of the real numbers, transfinite ordinals, and infinitesimals, combinations of these, and in- finitely many numbers uniquely Surreal. Together with two binary operations, the surreal numbers form a field. The existence of the Surreal Numbers is pr

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8

Ho, Kwan-hung, and 何君雄. "On the prime twins conjecture and almost-prime k-tuples." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B29768421.

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9

Chan, Ching-yin, and 陳靖然. "On k-tuples of almost primes." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2013. http://hdl.handle.net/10722/195967.

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10

Ketkar, Pallavi S. (Pallavi Subhash). "Primitive Substitutive Numbers are Closed under Rational Multiplication." Thesis, University of North Texas, 1998. https://digital.library.unt.edu/ark:/67531/metadc278637/.

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Lehr (1991) proved that, if M(q, r) denotes the set of real numbers whose expansion in base-r is q-automatic i.e., is recognized by an automaton A = (Aq, Ar, ao, δ, φ) (or is the image under a letter to letter morphism of a fixed point of a substitution of constant length q) then M(q, r) is closed under addition and rational multiplication. Similarly if we let M(r) denote the set of real numbers α whose base-r digit expansion is ultimately primitive substitutive, i.e., contains a tail which is the image (under a letter to letter morphism) of a fixed point of a primitive substitution then in an

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11

Ewers-Rogers, Jennifer. "Very young children's understanding and use of numbers and number symbols." Thesis, University College London (University of London), 2002. http://discovery.ucl.ac.uk/10007376/.

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Children grow up surrounded by numerals reflecting various uses of number. In their primary school years they are expected to grasp arithmetical symbols and use measuring devices. While much research on number development has examined children's understanding of numerical concepts and principles, little has investigated their understanding of these symbols. This thesis examines studies of understanding and use of number symbols in a range of contexts and for a variety of purposes. It reports several studies on the use of numerals by children aged between 3 and 5 years in Nursery settings in En

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12

Allen, Emily. "Combinatorial Interpretations Of Generalizations Of Catalan Numbers And Ballot Numbers." Research Showcase @ CMU, 2014. http://repository.cmu.edu/dissertations/366.

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The super Catalan numbers T(m,n) = (2m)!(2n)!=2m!n!(m+n)! are integers which generalize the Catalan numbers. Since 1874, when Eugene Catalan discovered these numbers, many mathematicians have tried to find their combinatorial interpretation. This dissertation is dedicated to this open problem. In Chapter 1 we review known results on T (m,n) and their q-analog polynomials. In Chapter 2 we give a weighted interpretation for T(m,n) in terms of 2-Motzkin paths of length m+n2 and a reformulation of this interpretation in terms of Dyck paths. We then convert our weighted interpretation into a conven

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13

Bento, Antonio Jorge Gomes. "Interpolation, measures of non-compactness, entropy numbers and s-numbers." Thesis, University of Sussex, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.344067.

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14

Lin, Wensong. "Circular chromatic numbers and distance two labelling numbers of graphs." HKBU Institutional Repository, 2004. http://repository.hkbu.edu.hk/etd_ra/591.

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15

Magnusson, Tobias. "Counting Class Numbers." Thesis, KTH, Matematik (Avd.), 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-223643.

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The following thesis contains an extensive account of the theory of class groups. First the form class group is introduced through equivalence classes of certain integral binary quadratic forms with a given discriminant. The sets of classes is then turned into a group through an operation referred to as "composition''. Then the ideal class group is introduced through classes of fractional ideals in the ring of integers of quadratic fields with a given discriminant. It is then shown that for negative fundamental discriminants, the ideal class group and form class group are isomorphic. Some conc

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16

Ishii, Minoru 1945. "Small Ramsey numbers." Thesis, McGill University, 1985. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=63235.

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17

Shi, Lingsheng. "Numbers and topologies." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2003. http://dx.doi.org/10.18452/14871.

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In der Ramsey Theorie fuer Graphen haben Burr und Erdos vor nunmehr fast dreissig Jahren zwei Vermutungen formuliert, die sich als richtungsweisend erwiesen haben. Es geht darum diejenigen Graphen zu charakterisieren, deren Ramsey Zahlen linear in der Anzahl der Knoten wachsen. Diese Vermutungen besagen, dass Ramsey Zahlen linear fuer alle degenerierten Graphen wachsen und dass die Ramsey Zahlen von Wuerfeln linear wachsen. Ein Ziel dieser Dissertation ist es, abgeschwaechte Varianten dieser Vermutungen zu beweisen. In der topologischen Ramseytheorie bewies Kojman vor kurzem eine topologische

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18

Schwartzkopff, Robert. "The numbers of the marketplace : commitment to numbers in natural language." Thesis, University of Oxford, 2015. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.711821.

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19

Slavic, Aida. "Call numbers, book numbers and collection arrangements in European library traditions." Ess Ess Pub, 2009. http://hdl.handle.net/10150/111798.

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Throughout the long history of the library, there have been many examples of methodical approaches to creating techniques, tools and knowledge that contribute to creating the library profession as we know it today. Collection arrangement and book labelling represent skills that are built into the very foundations of librarianship.With the opening of each new library, with collection merging or moving, or when building open access to a collection from scratch, librarians continue to question the methods they inherited. Librarians have to have a good understanding of the details and functions of

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20

Brown, Bruce J. L. "Numbers: a dream or reality? A return to objects in number learning." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-82378.

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21

Simmons, Jill. "CO-irredundant Ramsey numbers." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0005/MQ36621.pdf.

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22

Hey, Jessica L. ""Coming out" by numbers." Ohio : Ohio University, 2007. http://www.ohiolink.edu/etd/view.cgi?ohiou1189022132.

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23

Megyesi, Gabor. "Inequalities between Chern numbers." Thesis, University of Cambridge, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.308243.

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24

Rivard-Cooke, Martin. "Parametric Geometry of Numbers." Thesis, Université d'Ottawa / University of Ottawa, 2019. http://hdl.handle.net/10393/38871.

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This thesis is primarily concerned in studying the relationship between different exponents of Diophantine approximation, which are quantities arising naturally in the study of rational approximation to a fixed n-tuple of real irrational numbers. As Khinchin observed, these exponents are not independent of each other, spurring interest in the study of the spectrum of a given family of exponents, which is the set of all possible values that can be taken by said family of exponents. Introduced in 2009-2013 by Schmidt and Summerer and completed by Roy in 2015, the parametric geometry of number

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25

Fornasiero, Antongiulio. "Integration on surreal numbers." Thesis, University of Edinburgh, 2004. http://hdl.handle.net/1842/12194.

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The thesis concerns the (class) structure No of Conway’s surreal numbers. The main concern is the behaviour on No of some of the classical functions of real analysis, and a definition of integral for such functions. In the main texts on No, most definitions and proofs are done by transfinite recursion and induction on the complexity of elements. In the thesis I consider a general scheme of definition for functions on No, generalising those for sum, product and exponential. If a function has such a definition, and can live in a Hardy field, and satisfies some auxiliary technical conditions, one

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26

Anicama, Jorge. "Prime numbers and encryption." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/95565.

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In this article we will deal with the prime numbers and its current use in encryption algorithms. Encryption algorithms make possible the exchange of sensible data in internet, such as bank transactions, email correspondence and other internet transactions where privacy is important.

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27

Shah, Sunil. "The white man's numbers." Master's thesis, University of Cape Town, 2012. http://hdl.handle.net/11427/12498.

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28

Palladino, Chiara. "Numbers, winds and stars." Universitätsbibliothek Leipzig, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-221565.

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29

Jonsson, Helena. "Bimodules over dual numbers." Thesis, Uppsala universitet, Algebra och geometri, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-325502.

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30

McNamara, James N. "Two new Ramsey numbers /." Online version of thesis, 1992. http://hdl.handle.net/1850/11146.

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31

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

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32

Yamada, Tomohiro. "Unitary super perfect numbers." 京都大学 (Kyoto University), 2009. http://hdl.handle.net/2433/124385.

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33

Chakmak, Ryan. "Eigenvalues and Approximation Numbers." Scholarship @ Claremont, 2019. https://scholarship.claremont.edu/cmc_theses/2167.

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While the spectral theory of compact operators is known to many, knowledge regarding the relationship between eigenvalues and approximation numbers might be less known. By examining these numbers in tandem, one may develop a link between eigenvalues and l^p spaces. In this paper, we develop the background of this connection with in-depth examples.

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34

Goldoni, Luca. "Prime Numbers and Polynomials." Doctoral thesis, Università degli studi di Trento, 2010. https://hdl.handle.net/11572/368684.

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This thesis deals with the classical problem of prime numbers represented by polynomials. It consists of three parts. In the first part I collected many results about the problem. Some of them are quite recent and this part can be considered as a survey of the state of the art of the subject. In the second part I present two results due to P. Pleasants about the cubic polynomials with integer coefficients in several variables. The aim of this part is to simplify the works of Pleasants and modernize the notation employed. In such a way these important theorems are now in a more readable form. I

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35

Goldoni, Luca. "Prime Numbers and Polynomials." Doctoral thesis, University of Trento, 2010. http://eprints-phd.biblio.unitn.it/384/1/Thesis.pdf.

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This thesis deals with the classical problem of prime numbers represented by polynomials. It consists of three parts. In the first part I collected many results about the problem. Some of them are quite recent and this part can be considered as a survey of the state of the art of the subject. In the second part I present two results due to P. Pleasants about the cubic polynomials with integer coefficients in several variables. The aim of this part is to simplify the works of Pleasants and modernize the notation employed. In such a way these important theorems are now in a more readable form.

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36

Müller, Dana. "The representation of numbers in space : a journey along the mental number line." Phd thesis, Universität Potsdam, 2006. http://opus.kobv.de/ubp/volltexte/2007/1294/.

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The present thesis deals with the mental representation of numbers in space. Generally it is assumed that numbers are mentally represented on a mental number line along which they ordered in a continuous and analogical manner. Dehaene, Bossini and Giraux (1993) found that the mental number line is spatially oriented from left-to-right. Using a parity-judgment task they observed faster left-hand responses for smaller numbers and faster right-hand responses for larger numbers. This effect has been labelled as Spatial Numerical Association of Response Codes (SNARC) effect. The first study of

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37

Lozier, Stephane. "On simultaneous approximation to a real number and its cube by rational numbers." Thesis, University of Ottawa (Canada), 2010. http://hdl.handle.net/10393/28701.

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One of the fundamental problems in Diophantine approximation is approximation to real numbers by algebraic numbers of bounded degree. In 1969, H. Davenport and W. M. Schmidt developed a new method to approach the problem. This method combines a result on simultaneous approximation to successive powers of a real number xi with geometry of numbers. For now, the only case where the estimates are optimal is the case of two consecutive powers. Davenport and Schmidt show that if a real number xi is such that 1, xi, xi² are linearly independent over Q , then the exponent of simultaneous approx

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38

Kong, Yafang, and 孔亚方. "On linear equations in primes and powers of two." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2013. http://hub.hku.hk/bib/B50533769.

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It is known that the binary Goldbach problem is one of the open problems on linear equations in primes, and it has the Goldbach-Linnik problem, that is, representation of an even integer in the form of two odd primes and powers of two, as its approximate problem. The theme of my research is on linear equations in primes and powers of two. Precisely, there are two cases: one pair of linear equations in primes and powers of two, and one class of pairs of linear equations in primes and powers of two, in this thesis. In 2002, D.R. Heath-Brown and P.C. Puchta obtained that every sufficiently lar

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39

Spolaor, Silvana de Lourdes Gálio. "Números irracionais: e e." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/55/55136/tde-02102013-160720/.

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Nesta dissertação são apresentadas algumas propriedades de números reais. Descrevemos de maneira breve os conjuntos numéricos N, Z, Q e R e apresentamos demonstrações detalhadas da irracionalidade dos números \'pi\' e e. Também, apresentamos um texto sobre o número e, menos técnico e mais intuitivo, na tentativa de auxiliar o professor no preparo de aulas sobre o número e para alunos do Ensino Médio, bem como, alunos de cursos de Licenciatura em Matemática<br>In this thesis we present some properties of real numbers. We describe briefly the numerical sets N, Z, Q and R, and we present detaile

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40

Munter, Johan. "Number Recognition of Real-world Images in the Forest Industry : a study of segmentation and recognition of numbers on images of logs with color-stamped numbers." Thesis, Mittuniversitetet, Institutionen för informationssystem och –teknologi, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:miun:diva-39365.

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Analytics such as machine learning are of big interest in many types of industries. Optical character recognition is essentially a solved problem, whereas number recognition on real-world images which can be one form of machine learning are a more challenging obstacle. The purpose of this study was to implement a system that can detect and read numbers on given dataset originating from the forest industry being images of color-stamped logs. This study evaluated accuracy of segmentation and number recognition on images of color-stamped logs when using a pre-trained model of the street view hous

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41

Meinke, Ashley Marie. "Fibonacci Numbers and Associated Matrices." Kent State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=kent1310588704.

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42

Iuculano, T. "Good and bad at numbers : typical and atypical development of number processing and arithmetic." Thesis, University College London (University of London), 2012. http://discovery.ucl.ac.uk/1355958/.

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This thesis elucidates the heterogeneous nature of mathematical skills by examining numerical and arithmetical abilities in typical, atypical and exceptional populations. Moreover, it looks at the benefits of intervention for remediating and improving mathematical skills. First, we establish the nature of the ‘number sense’ and assess its contribution to typical and atypical arithmetical development. We confirmed that representing and manipulating numerosities approximately is fundamentally different from the ability to manipulate them exactly. Yet only the exact manipulation of numbers seems

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43

McNicholas, Aine. "Dickens by Numbers : the 'Christmas Numbers' of 'Household Words' and 'All the Year Round'." Thesis, University of York, 2015. http://etheses.whiterose.ac.uk/10391/.

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This thesis examines the short fiction that makes up the annual Christmas Numbers of Dickens’s journals, Household Words and All the Year Round. Through close reading and with reference to Dickens’s letters, contemporary reviews, and the work of his contributors, this thesis contends that the Christmas Numbers are one of the most remarkable and overlooked bodies of work of the second half of the nineteenth century. Dickens’s short fictions rarely receive sustained or close attention, despite the continuing commitment by critics to bring the whole range of Dickens’s career into focus, from his

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44

Coles, Jonathan. "Algorithms for bounding Folkman numbers /." Online version of thesis, 2005. https://ritdml.rit.edu/dspace/handle/1850/2765.

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45

Mankiewicz, Piotr, Carsten Schuett, and schuett@math uni-kiel de. "On the Delone Triangulation Numbers." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi952.ps.

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46

Parra, Rodrigo. "Lelong numbers on projective varieties." Licentiate thesis, KTH, Matematik (Inst.), 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-25285.

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47

Wolczuk, Dan. "Intervals with few Prime Numbers." Thesis, University of Waterloo, 2004. http://hdl.handle.net/10012/1064.

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In this thesis we discuss some of the tools used in the study of the number of primes in short intervals. In particular, we discuss a large sieve density estimate due to Gallagher and two classical delay equations. We also show how these tools have been used by Maier and Stewart and provide computational data to their result.

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48

Follon, Derek. "Synthesis from numbers to intentionality." Thesis, University of Ottawa (Canada), 1985. http://hdl.handle.net/10393/4600.

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49

Guadiana, Juan, James Baird, and Curtiss Tackill. "Modeling and Simulation with Numbers!" International Foundation for Telemetering, 2017. http://hdl.handle.net/10150/626946.

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Moore's Law predicts the trends in our technology very well and we have witnessed the relentless march of software solutions deep into the hardware domain. Link models are normally in the realm of scientiﬁc software packages like Mathematica, MatLab or Satellite Tool Kit. Here we apply Frii's Transmission equation to perform a link model with a common application like Numbers or Excel. Modeling a single link is easy and a staring antenna Array is modeled as many single links. Creating the model does require planning just as creating any software application does, but the "coding" is fairly

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50

Johnstone, Jennifer Ann. "Congruent numbers and elliptic curves." Thesis, University of British Columbia, 2010. http://hdl.handle.net/2429/26993.

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Throughout this thesis we will be primarily concerned with the area of a rational right angle triangle, also known as a congruent number. The purpose of this thesis is to present a family of congruent number elliptic curves with rank at least three, as well as provide some insight into the distribution of congruent numbers. We provide an in depth background on congruent numbers and elliptic curves, as well as an overview of one of the key methods that will be used in determining the rank of an elliptic curve.

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