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1

Persson, Milton. "The Whitney embedding theorem." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-91352.

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A fundamental theorem in differential geometry is proven in this essay. It is the embedding theorem due to Hassler Whitney, which shows that the ever so general and useful topological spaces called manifolds, can all be regarded as subspaces of some Euclidean space. The version of the proof given in this essay is very similar to the original from 1944. Modern definitions are used, however, and many illustrations have been made, wherever it helps the understanding.
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2

Shibalovich, Paul. "Fundamental theorem of algebra." CSUSB ScholarWorks, 2002. https://scholarworks.lib.csusb.edu/etd-project/2203.

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The fundamental theorem of algebra (FTA) is an important theorem in algebra. This theorem asserts that the complex field is algebracially closed. This thesis will include historical research of proofs of the fundamental theorem of algebra and provide information about the first proof given by Gauss of the theorem and the time when it was proved.
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Keyman, Fatma Ebru. "Singular braids and links." Thesis, University of Sussex, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.363368.

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Hariz, Belgacem Khader. "Higher-order Embedding Formalism, Noether’s Theorem on Time Scales and Eringen’s Nonlocal Elastica." Electronic Thesis or Diss., Pau, 2022. https://theses.hal.science/tel-03981833.

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En mathématiques, le calcul des variations est un ensemble de méthodes permettant la détermination de solutions à des problèmes d'optimisation des quantités traduites en termes de fonctionnelle. De nombreuses applications existent, notamment dans la recherche de courbes ou de surfaces minimales. Les systèmes dynamiques considérés sont de natures diverses (équations différentielles, intégrales ou stochastiques) et modélisent des problèmes d'origines multiples : aérospatiale, automobile, biologie, économie, médecine, etc. Le théorème de Noether présente un fort intérêt puisqu'il propose une loi
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Mori, Takahiro. "Lp-Kato class measures and their relations with Sobolev embedding theorems." Doctoral thesis, Kyoto University, 2021. http://hdl.handle.net/2433/263443.

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Pekárek, Jan. "Analýza a predikce vývoje devizových trhů pomocí chaotických atraktorů a neuronových sítí." Master's thesis, Vysoké učení technické v Brně. Fakulta podnikatelská, 2014. http://www.nusl.cz/ntk/nusl-224706.

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This thesis deals with a complex analysis and prediction of foreign exchange markets. It uses advanced artificial intelligence methods, namely neural networks and chaos theory. It introduces unconventional approaches and methods of each of these areas, compares them and uses on a real problem. The core of this thesis is a comparison of several prediction models based on completely different principles and underlying theories. The outcome is then a selection of the most appropriate prediction model called NAR + H. The model is evaluated according to several criteria, the pros and cons are discu
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Sawaya, Antonio. "Financial time series analysis : Chaos and neurodynamics approach." Thesis, Högskolan Dalarna, Datateknik, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:du-4810.

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This work aims at combining the Chaos theory postulates and Artificial Neural Networks classification and predictive capability, in the field of financial time series prediction. Chaos theory, provides valuable qualitative and quantitative tools to decide on the predictability of a chaotic system. Quantitative measurements based on Chaos theory, are used, to decide a-priori whether a time series, or a portion of a time series is predictable, while Chaos theory based qualitative tools are used to provide further observations and analysis on the predictability, in cases where measurements provid
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Björk, Kevin. "Embedding inflation in string theory." Thesis, Uppsala universitet, Teoretisk fysik, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-392100.

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We introduce slow-roll inflation in string theory on both a conceptual level and a detailed one. In order to do this we first briefly review important concepts of inflation and string theory. We then reconstruct models of string inflation in the so-called Racetrack scenario for two different cases where the difference being the number of Kähler moduli used as inflaton. Furthermore, we briefly relate our results to the more recent discussion on whether AdS/dS solutions actually exist in string theory. In this instance our results seem to indicate that uplifting is a crucial component to obtain
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Abdikalikova, Zamira. "Embedding theorems for spaces with multiweighted derivatives." Licentiate thesis, Luleå tekniska universitet, Matematiska vetenskaper, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-26092.

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This Licentiate Thesis consists of four chapters, which deal with a new Sobolev type function space called the space with multiweighted derivatives. This space is a generalization of the usual one dimensional Sobolev space. Chapter 1 is an introduction, where, in particular, the importance to study function spaces with weights is discussed and motivated. In Chapter 2 we consider and analyze some results of L. D. Kudryavtsev, where he investigated one dimensional Sobolev spaces. Moreover, in this chapter we present and prove analogous results by B. L. Baidel'dinov for generalized Sobolev spaces
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Abdikalikova, Zamira T. "Embedding theorems for spaces with multiweighted derivatives /." Luleå : Luleå University of Technology, 2007. http://epubl.ltu.se/1402-1757/2007/53/.

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11

Algervik, Robert. "Embedding Theorems for Mixed Norm Spaces and Applications." Doctoral thesis, Karlstads universitet, Avdelningen för matematik, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-5646.

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This thesis is devoted to the study of mixed norm spaces that arise in connection with embeddings of Sobolev and Besov type spaces. We study different structural, integrability, and smoothness properties of functions satisfying certain mixed norm conditions. Conditions of this type are determined by the behaviour of linear sections of functions. The work in this direction originates in a paper due to Gagliardo (1958), and was further developed by Fournier (1988), by Blei and Fournier (1989), and by Kolyada (2005). Here we continue these studies. We obtain some refinements of known embeddings f
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Algervik, Robert. "Embedding Theorems for Mixed Norm Spaces and Applications." Licentiate thesis, Karlstad : Faculty of Technology and Science, Mathematics, Karlstads universitet, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-2874.

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Husain, Aban Zehra. "Verma Modules, The Weyl Character Formula and Embedding Theorems." Thesis, Uppsala universitet, Algebra och geometri, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-386041.

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14

Sanomiya, Thais Akemi Tokubo. "Sobre o teorema de Campbell-Magaard e o problema de Cauchy na relatividade." Universidade Federal da Paraíba, 2016. http://tede.biblioteca.ufpb.br:8080/handle/tede/9542.

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Submitted by Vasti Diniz (vastijpa@hotmail.com) on 2017-09-18T11:49:17Z No. of bitstreams: 1 arquivototal.pdf: 2571485 bytes, checksum: 176b4eb5f639864aaef387d41330b286 (MD5)<br>Made available in DSpace on 2017-09-18T11:49:17Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 2571485 bytes, checksum: 176b4eb5f639864aaef387d41330b286 (MD5) Previous issue date: 2016-03-11<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>After the formulation of general relativity differential geometry has become an increasing important tool in theoretical physics. This is even more clear i
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Reinhard, Teresa Elisabeth [Verfasser], and Angel [Akademischer Betreuer] Rubio. "Density Matrix Embedding Theory : Foundations, Applications and Connection to Functional Theories / Teresa Elisabeth Reinhard ; Betreuer: Angel Rubio." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2019. http://d-nb.info/1186891157/34.

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Fontes, Nuno Ricardo Moura. "Sistemas dinâmicos, análise numérica de séries temporais e aplicações às finanças." Master's thesis, Instituto Superior de Economia e Gestão, 2013. http://hdl.handle.net/10400.5/6454.

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Mestrado em Matemática Financeira<br>Taken's theorem (1981) shows how the series of measurements from a given system can be used to reconstruct the original system's underlying dynamic process. In this work we start from this point and build a bridge between theoretical results and its practical application. Several algorithms are presented and then rebuilt in an effort to reach a middle ground between computer resources optimization and output accuracy. Among these algorithms, the biggest emphasis is put on the correlation dimension algorithm by Grassberger and Procaccia which allows for the
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Smith, Michael Anthony. "Embedding an object calculus in the unifying theories of programming." Thesis, University of Oxford, 2010. http://ora.ox.ac.uk/objects/uuid:8b5be90d-59c1-42c0-a996-ecd8015097b3.

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Hoare and He's Unifying Theories of Programming (UTP) provides a rich model of programs as relational predicates. This theory is intended to provide a single framework in which any programming paradigms, languages, and features, can be modelled, compared and contrasted. The UTP already has models for several programming formalisms, such as imperative programming, higher-order programming (e.g. programing with procedures), several styles of concurrent programming (or reactive systems), class-based object-orientation, and transaction processing. We believe that the UTP ought to be able to repres
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Baynes, Samuel. "On generators, relations and D-simplicity of direct products, Byleen extensions, and other semigroup constructions." Thesis, University of St Andrews, 2015. http://hdl.handle.net/10023/7629.

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In this thesis we study two different topics, both in the context of semigroup constructions. The first is the investigation of an embedding problem, specifically the problem of whether it is possible to embed any given finitely presentable semigroup into a D-simple finitely presentable semigroup. We consider some well-known semigroup constructions, investigating their properties to determine whether they might prove useful for finding a solution to our problem. We carry out a more detailed study into a more complicated semigroup construction, the Byleen extension, which has been used to solve
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Miyamoto, Kaito. "Mean-field embedding theory for large-scale electronic structure calculations." Thesis, University of Bristol, 2016. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.705477.

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Dube, Matthew P. "An Embedding Graph for 9-Intersection Topological Spatial Relations." Fogler Library, University of Maine, 2009. http://www.library.umaine.edu/theses/pdf/DubeMP2009.pdf.

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Krombholz, Martin Rudolf Arne. "Proof theory of graph minors and tree embeddings." Thesis, University of Leeds, 2018. http://etheses.whiterose.ac.uk/20834/.

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This thesis explores metamathematical properties of theorems appearing in the Graph Minors series. A number of these theorems have been known to have very high proof-theoretic strength, but an upper bound on many of them, including the graph minor theorem, had never been proved. We give such upper bounds, by showing that any proofs in the Graph Minors series can be carried out within a system of Pi^1_1-comprehension augmented with induction and bar-induction principles for certain classes of formulas. This establishes a narrow corridor for the possible proof-theoretic strength of many strong c
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Potter, John R. "Pseudo-triangulations on closed surfaces." Worcester, Mass. : Worcester Polytechnic Institute, 2008. http://www.wpi.edu/Pubs/ETD/Available/etd-021408-102227/.

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23

Krüger, Olaf. "The embedding of gauged N = 8 supergravity into 11 dimensions." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2016. http://dx.doi.org/10.18452/17662.

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Diese Doktorarbeit behandelt die bosonische Einbettung der geeichten N = 8 Supergravitation in elf Dimensionen. Die höher dimensionalen Felder müssen zuerst nichtlinear umdefiniert werden, sodass ihre supersymmetrischen Transformationen mit denen der vierdimensionalen Felder verglichen werden können. So wurden in der Literatur nichtlineare Beziehungen zwischen den neu definierten elfdimensionalen Feldern und den Feldern der N = 8 Supergravitation gefunden. Darauf basierend können nun direkte Ansätze gefunden werden, die eine vierdimensionale in eine elfdimensionale Lösung der Supergravitation
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Wysong, Kimberly Ann. "Minimal embeddings of knots in the cubic lattice /." Abstract Full Text (PDF), 2008. http://eprints.ccsu.edu/archive/00000535/02/1984FT.pdf.

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Thesis (M.A.) -- Central Connecticut State University, 2008.<br>Thesis advisor: Nelson Castaneda. "... in partial fulfillment of the requirements for the degree of Master of Arts in Mathematical Sciences." Includes bibliographical references (leaves 98-99). Also available via the World Wide Web.
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Tahraoui, Mohammed Amin. "Coloring, packing and embedding of graphs." Phd thesis, Université Claude Bernard - Lyon I, 2012. http://tel.archives-ouvertes.fr/tel-00995041.

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In this thesis, we investigate some problems in graph theory, namelythe graph coloring problem, the graph packing problem and tree pattern matchingfor XML query processing. The common point between these problems is that theyuse labeled graphs.In the first part, we study a new coloring parameter of graphs called the gapvertex-distinguishing edge coloring. It consists in an edge-coloring of a graph G whichinduces a vertex distinguishing labeling of G such that the label of each vertex isgiven by the difference between the highest and the lowest colors of its adjacentedges. The minimum number of
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Schleißinger, Sebastian [Verfasser], Oliver [Gutachter] Roth, and Filippo [Gutachter] Bracci. "Embedding Problems in Loewner Theory / Sebastian Schleißinger. Gutachter: Oliver Roth ; Filippo Bracci." Würzburg : Universität Würzburg, 2013. http://d-nb.info/1102824917/34.

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27

Ritter, Alexander F. (Alexander Friedrich). "The Novikov theory for symplectic cohomology and exact Lagrangian embeddings." Thesis, Massachusetts Institute of Technology, 2009. http://hdl.handle.net/1721.1/50271.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2009.<br>This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.<br>Includes bibliographical references (leaves 121-123).<br>Given an exact symplectic manifold, can we find topological constraints to the existence of exact Lagrangian submanifolds? I developed an approach using symplectic cohomology which provides such conditions for exact Lagrangians inside cotangent bundles and inside ALE hyperkähler spaces. For example, the o
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Whalen, Peter. "Pfaffian orientations, flat embeddings, and Steinberg's conjecture." Diss., Georgia Institute of Technology, 2014. http://hdl.handle.net/1853/52207.

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The first result of this thesis is a partial result in the direction of Steinberg's Conjecture. Steinberg's Conjecture states that any planar graph without cycles of length four or five is three colorable. Borodin, Glebov, Montassier, and Raspaud showed that planar graphs without cycles of length four, five, or seven are three colorable and Borodin and Glebov showed that planar graphs without five cycles or triangles at distance at most two apart are three colorable. We prove a statement that implies the first of these theorems and is incomparable with the second: that any planar graph with
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Genestier, Guillaume. "Dependently-Typed Termination and Embedding of Extensional Universe-Polymorphic Type Theory using Rewriting." Electronic Thesis or Diss., université Paris-Saclay, 2020. http://www.theses.fr/2020UPASG045.

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Dedukti est un cadre logique dans lequel l’utilisateur encode la théorie qu’il souhaite utiliser à l’aide de règles de réécriture. Pour garantir la décidabilité du typage, il faut s’assurer que le système de réécriture utilisé est terminant.Après avoir rappelé les propriétés des systèmes de types purs et leur extension avec de la réécriture, un critère de terminaison pour la réécriture d’ordre supérieur avec types dépendants est présenté. Il s’agit d’une extension de la notion de paires de dépendances au cas du lambda-pi-calcul modulo réécriture. Cerésultat se décompose en deux théorèmes princ
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Kaplan, Elliot. "Initial Embeddings in the Surreal Number Tree." Ohio University Honors Tutorial College / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ouhonors1429615758.

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Turner, Bethany. "Embeddings of Product Graphs Where One Factor is a Hypercube." VCU Scholars Compass, 2011. http://scholarscompass.vcu.edu/etd/2455.

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Voltage graph theory can be used to describe embeddings of product graphs if one factor is a Cayley graph. We use voltage graphs to explore embeddings of various products where one factor is a hypercube, describing some minimal and symmetrical embeddings. We then define a graph product, the weak symmetric difference, and illustrate a voltage graph construction useful for obtaining an embedding of the weak symmetric difference of an arbitrary graph with a hypercube.
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Klos, Fabian [Verfasser], and Daniel [Akademischer Betreuer] Roggenkamp. "Embedding topological quantum field theories functorially in the UV / Fabian Klos ; Betreuer: Daniel Roggenkamp." Heidelberg : Universitätsbibliothek Heidelberg, 2021. http://nbn-resolving.de/urn:nbn:de:bsz:16-heidok-302659.

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Hume, David S. "Embeddings of infinite groups into Banach spaces." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:e38f58ec-484c-4088-bb44-1556bc647cde.

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In this thesis we build on the theory concerning the metric geometry of relatively hyperbolic and mapping class groups, especially with respect to the difficulty of embedding such groups into Banach spaces. In Chapter 3 (joint with Alessandro Sisto) we construct simple embeddings of closed graph manifold groups into a product of three metric trees, answering positively a conjecture of Smirnov concerning the Assouad-Nagata dimension of such spaces. Consequently, we obtain optimal embeddings of such spaces into certain Banach spaces. The ideas here have been extended to other closed three-manifo
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Boyer, John M. "Simplified O(n) algorithms for planar graph embedding, Kuratowski subgraph isolation, and related problems." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp05/NQ62507.pdf.

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Bennett, Geoffrey Keith. "Topological embeddings of Steiner triple systems and associated problems in design theory." Thesis, Open University, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.402268.

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Rocha, Mário. "The embedding of complete bipartite graphs onto grids with a minimum grid cutwidth." CSUSB ScholarWorks, 2003. https://scholarworks.lib.csusb.edu/etd-project/2311.

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Laasch, Oliver. "Business model change through embedding corporate responsibility-sustainability? : logics, devices, actor networks." Thesis, University of Manchester, 2018. https://www.research.manchester.ac.uk/portal/en/theses/business-model-change-through-embedding-corporate-responsibilitysustainabilitylogics-devices-actor-networks(6826955d-df8f-4428-9bb6-2cb82f2e8519).html.

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'The Company' had introduced 'Being Responsible' a program for the embedding of responsibility-sustainability. Corporate responsibility-sustainability here describes efforts to address entangled cares of responsibility and sustainability. The program showed potential to change the business model, which led to the research problem: 'How can responsibility-sustainability programs change business models?'In this thesis, business models are understood as three dynamically interlinked states: Logics, devices and actor networks. Business model change may happen through the embedding of responsibilit
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Botero, Ana María. "b-divisors on toric and toroidal embeddings." Doctoral thesis, Humboldt-Universität zu Berlin, 2017. http://dx.doi.org/10.18452/18140.

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In dieser Dissertation entwickeln wir eine Schnittheorie von torischen bzw. toroidalen b-Divisoren auf torischen bzw. toroidalen Einbettungen. Motiviert wird dies durch das Ziel, eine arithmetische Schnittheorie auf gemischten Shimura- Varietäten von nicht-kompaktem Typ zu begründen. Die bisher zur Verfügung stehenden Werkzeuge definieren keine numerischen Invarianten, die birational invariant sind. Zuerst definieren wir torische b-Divisoren auf torischen Varietäten und einen Integrabilitätsbegriff für solche Divisoren. Wir zeigen, dass torische b-Divisoren unter geeigneten Annahmen an
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Shaker, Jomaa K. M. A. "Algebraic computing in general relativity and supergravity : space-time embeddings and higher dimensional theories." Thesis, Imperial College London, 1985. http://hdl.handle.net/10044/1/37849.

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Boavida, de Brito Pedro. "Homotopy sheaves on manifolds and applications to spaces of smooth embeddings." Thesis, University of Aberdeen, 2014. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=215123.

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This thesis explores connections between homotopy sheaves, manifold calculus of functors and operad theory. We argue that there is a deep overlap between these, and as evidence we give a new operadic description of the homotopy theoretical obstructions to deforming a smooth immersion into a smooth embedding. We then discuss an application which improves on some aspects of recent results of Arone-Turchin and Dwyer-Hess concerning spaces of long knots and high-dimensional variants. Along the way, we define fibrewise complete Segal spaces, a mild generalisation of Rezk's notion of complete Segal
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Shih, Min-Chun. "Exploring Cross-lingual Sublanguage Classification with Multi-lingual Word Embeddings." Thesis, Linköpings universitet, Statistik och maskininlärning, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-166148.

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Cross-lingual text classification is an important task due to the globalization and the increased availability of multilingual data. This thesis explores the method of implementing cross-lingual classification on Swedish and English medical corpora. Specifically, this the- sis explores the simple convolutional neural network (CNN) with MUSE pre-trained word embeddings to approach binary classification of sublanguages (“lay” and “specialized”) from Swedish healthcare texts to English healthcare texts. MUSE is a library that provides state-of-the-art multilingual word embeddings and large-scale
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Ashley, Michael John Siew Leung, and ashley@gravity psu edu. "Singularity theorems and the abstract boundary construction." The Australian National University. Faculty of Science, 2002. http://thesis.anu.edu.au./public/adt-ANU20050209.165310.

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The abstract boundary construction of Scott and Szekeres has proven a practical classification scheme for boundary points of pseudo-Riemannian manifolds. It has also proved its utility in problems associated with the re-embedding of exact solutions containing directional singularities in space-time. Moreover it provides a model for singularities in space-time - essential singularities. However the literature has been devoid of abstract boundary results which have results of direct physical applicability.¶ This thesis presents several theorems on the existence of essential singularities in spa
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Voigtlaender, Felix Verfasser], Hartmut [Akademischer Betreuer] Führ, Hans G. [Akademischer Betreuer] [Feichtinger, and Holger [Akademischer Betreuer] Rauhut. "Embedding theorems for decomposition spaces with applications to wavelet coorbit spaces / Felix Voigtlaender ; Hartmut Führ, Hans G. Feichtinger, Holger Rauhut." Aachen : Universitätsbibliothek der RWTH Aachen, 2016. http://d-nb.info/112733719X/34.

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Voigtlaender, Felix [Verfasser], Hartmut Akademischer Betreuer] Führ, Hans G. [Akademischer Betreuer] [Feichtinger, and Holger [Akademischer Betreuer] Rauhut. "Embedding theorems for decomposition spaces with applications to wavelet coorbit spaces / Felix Voigtlaender ; Hartmut Führ, Hans G. Feichtinger, Holger Rauhut." Aachen : Universitätsbibliothek der RWTH Aachen, 2016. http://d-nb.info/112733719X/34.

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Ali, Alshatti Safenaz. "Embedding graphic organisers in the teaching and learning of family and consumer sciences (home economics) in Kuwait." Thesis, Queensland University of Technology, 2012. https://eprints.qut.edu.au/60259/1/Safenaz_Ali_Alshatti_Thesis.pdf.

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Educational reforms currently being enacted in Kuwaiti Family and Consumer Sciences (FCS) in response to contemporary demands for increased student-centred teaching and learning are challenging for FCS teachers due to their limited experience with student-centred learning tools such as Graphic Organisers (GOs). To adopt these reforms, Kuwaiti teachers require a better understanding of and competency in promoting cognitive learning processes that will maximise student-centred learning approaches. This study followed the experiences of four Grade 6 FCS Kuwaiti teachers as they undertook a Profes
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Galligan, Linda Ann. "Developing a model of embedding academic numeracy in university programs : a case study from nursing." Thesis, Queensland University of Technology, 2011. https://eprints.qut.edu.au/46667/1/Linda_Galligan_Thesis.pdf.

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This is a study of the academic numeracy of nursing students. This study develops a theoretical model for the design and delivery of university courses in academic numeracy. The following objectives are addressed: 1. To investigate nursing students' current knowledge of academic numeracy; 2. To investigate how nursing students’ knowledge and skills in academic numeracy can be enhanced using a developmental psychology framework; and 3. To utilise data derived from meeting objectives 1 and 2 to develop a theoretical model to embed academic numeracy in university programs. This study draws from V
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Senjean, Bruno. "Development of new embedding techniques for strongly correlated electrons : from in-principle-exact formulations to practical approximations." Thesis, Strasbourg, 2018. http://www.theses.fr/2018STRAF035/document.

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Cette thèse traite du développement et de l’implémentation de nouvelles méthodes visant à décrire la corrélation électronique forte dans les molécules et les solides. Après avoir introduit l’état de l’art des méthodes utilisées en chimie quantique et en physique de la matière condensée, une nouvelle méthode hybride combinant théorie de la fonction d’onde et théorie de la fonctionnelle de la densité (DFT) est présentée et s’intitule “site-occupation embedding theory” (SOET). Celle-ci est appliquée au modèle de Hubbard à une dimension. Ensuite, le problème du gap fondamental est revisité en DFT
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48

Peng, Richard. "Algorithm Design Using Spectral Graph Theory." Research Showcase @ CMU, 2013. http://repository.cmu.edu/dissertations/277.

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Spectral graph theory is the interplay between linear algebra and combinatorial graph theory. Laplace’s equation and its discrete form, the Laplacian matrix, appear ubiquitously in mathematical physics. Due to the recent discovery of very fast solvers for these equations, they are also becoming increasingly useful in combinatorial optimization, computer vision, computer graphics, and machine learning. In this thesis, we develop highly efficient and parallelizable algorithms for solving linear systems involving graph Laplacian matrices. These solvers can also be extended to symmetric diagonally
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Stottmeister, Alexander [Verfasser], and Thomas [Akademischer Betreuer] Thiemann. "On the Embedding of Quantum Field Theory on Curved Spacetimes into Loop Quantum Gravity / Alexander Stottmeister. Gutachter: Thomas Thiemann." Erlangen : Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), 2015. http://d-nb.info/1076166393/34.

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Muller, Carole. "Minor-closed classes of graphs: Isometric embeddings, cut dominants and ball packings." Doctoral thesis, Universite Libre de Bruxelles, 2021. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/331629.

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Une classe de graphes est close par mineurs si, pour tout graphe dans la classe et tout mineur de ce graphe, le mineur est ́egalement dans la classe. Par un fameux th ́eor`eme de Robertson et Seymour, nous savons que car- act ́eriser une telle classe peut ˆetre fait `a l’aide d’un nombre fini de mineurs exclus minimaux. Ceux-ci sont des graphes qui n’appartiennent pas `a la classe et qui sont minimaux dans le sens des mineurs pour cette propri ́et ́e.Dans cette thèse, nous étudions trois problèmes à propos de classes de graphes closes par mineurs. Les deux premiers sont reliés à la caractérisa
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