Relevant bibliographies by topics / Representations of space

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

Academic literature on the topic 'Representations of space'

Author: Grafiati
Published: 4 June 2021
Last updated: 19 February 2022

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Journal articles on the topic "Representations of space"

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Brattka, Vasco. "Effective representations of the space of linear bounded operators." Applied General Topology 4, no. 1 (April 1, 2003): 115. http://dx.doi.org/10.4995/agt.2003.2014.

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<p>Representations of topological spaces by infinite sequences of symbols are used in computable analysis to describe computations in topological spaces with the help of Turing machines. From the computer science point of view such representations can be considered as data structures of topological spaces. Formally, a representation of a topological space is a surjective mapping from Cantor space onto the corresponding space. Typically, one is interested in admissible, i.e. topologically well-behaved representations which are continuous and characterized by a certain maximality condition. We discuss a number of representations of the space of linear bounded operators on a Banach space. Since the operator norm topology of the operator space is nonseparable in typical cases, the operator space cannot be represented admissibly with respect to this topology. However, other topologies, like the compact open topology and the Fell topology (on the operator graph) give rise to a number of promising representations of operator spaces which can partially replace the operator norm topology. These representations reflect the information which is included in certain data structures for operators, such as programs or enumerations of graphs. We investigate the sublattice of these representations with respect to continuous and computable reducibility. Certain additional conditions, such as finite dimensionality, let some classes of representations collapse, and thus, change the corresponding graph. Altogether, a precise picture of possible data structures for operator spaces and their mutual relation can be drawn.</p>
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Shapiro, Vadim. "Maintenance of Geometric Representations Through Space Decompositions." International Journal of Computational Geometry & Applications 07, no. 01n02 (February 1997): 21–56. http://dx.doi.org/10.1142/s0218195997000041.

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The ability to transform between distinct geometric representations is the key to success of multiple-representation modeling systems. But the existing theory of geometric modeling does not directly address or support construction, conversion, and comparison of geometric representations. A study of classical problems of CSG ↔ b-rep conversions, CSG optimization, and other representation conversions suggests a natural relationship between a representation scheme and an appropriate decomposition of space. We show that a hierarchy of space decompositions corresponding to different representation schemes can be used to enhance the theory and to develop a systematic approach to maintenance of geometric representations.
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Lee, Min Ho. "Theta functions on Hermitian symmetric domains and fock representations." Journal of the Australian Mathematical Society 74, no. 2 (April 2003): 201–34. http://dx.doi.org/10.1017/s1446788700003256.

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AbstractOne way of realizing representations of the Heisenberg group is by using Fock representations, whose representation spaces are Hilbert spaces of functions on complex vector space with inner products associated to points on a Siegel upper half space. We generalize such Fock representations using inner products associated to points on a Hermitian symmetric domain that is mapped into a Seigel upper half space by an equivariant holomorphic map. The representations of the Heisenberg group are then given by an automorphy factor associated to a Kuga fiber variety. We introduce theta functions associated to an equivariant holomorphic map and study connections between such generalized theta functions and Fock representations described above. Furthermore, we discuss Jacobi forms on Hermitian symmetric domains in connection with twisted torus bundles over symmetric spaces.
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BERGER, ULRICH, JENS BLANCK, and PETTER KRISTIAN KØBER. "Domain representations of spaces of compact subsets." Mathematical Structures in Computer Science 20, no. 2 (March 25, 2010): 107–26. http://dx.doi.org/10.1017/s096012950999034x.

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We present a method for constructing from a given domain representation of a space X with underlying domain D, a domain representation of a subspace of compact subsets of X where the underlying domain is the Plotkin powerdomain of D. We show that this operation is functorial over a category of domain representations with a natural choice of morphisms. We study the topological properties of the space of representable compact sets and isolate conditions under which all compact subsets of X are representable. Special attention is paid to admissible representations and representations of metric spaces.
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DE JEU, MARCEL, and MARTEN WORTEL. "POSITIVE REPRESENTATIONS OF FINITE GROUPS IN RIESZ SPACES." International Journal of Mathematics 23, no. 07 (June 27, 2012): 1250076. http://dx.doi.org/10.1142/s0129167x12500760.

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In this paper, which is part of a study of positive representations of locally compact groups in Banach lattices, we initiate the theory of positive representations of finite groups in Riesz spaces. If such a representation has only the zero subspace and possibly the space itself as invariant principal bands, then the space is Archimedean and finite-dimensional. Various notions of irreducibility of a positive representation are introduced and, for a finite group acting positively in a space with sufficiently many projections, these are shown to be equal. We describe the finite-dimensional positive Archimedean representations of a finite group and establish that, up to order equivalence, these are order direct sums, with unique multiplicities, of the order indecomposable positive representations naturally associated with transitive G-spaces. Character theory is shown to break down for positive representations. Induction and systems of imprimitivity are introduced in an ordered context, where the multiplicity formulation of Frobenius reciprocity turns out not to hold.
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Guruprasad, K., and C. S. Rajan. "space of representations." Duke Mathematical Journal 91, no. 1 (January 1998): 137–49. http://dx.doi.org/10.1215/s0012-7094-98-09107-4.

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Carlson, Thomas A., J. Brendan Ritchie, Nikolaus Kriegeskorte, Samir Durvasula, and Junsheng Ma. "Reaction Time for Object Categorization Is Predicted by Representational Distance." Journal of Cognitive Neuroscience 26, no. 1 (January 2014): 132–42. http://dx.doi.org/10.1162/jocn_a_00476.

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How does the brain translate an internal representation of an object into a decision about the object's category? Recent studies have uncovered the structure of object representations in inferior temporal cortex (IT) using multivariate pattern analysis methods. These studies have shown that representations of individual object exemplars in IT occupy distinct locations in a high-dimensional activation space, with object exemplar representations clustering into distinguishable regions based on category (e.g., animate vs. inanimate objects). In this study, we hypothesized that a representational boundary between category representations in this activation space also constitutes a decision boundary for categorization. We show that behavioral RTs for categorizing objects are well described by our activation space hypothesis. Interpreted in terms of classical and contemporary models of decision-making, our results suggest that the process of settling on an internal representation of a stimulus is itself partially constitutive of decision-making for object categorization.
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JORGENSEN, PALLE E. T. "REPRESENTATIONS OF LIE ALGEBRAS BUILT OVER HILBERT SPACE." Infinite Dimensional Analysis, Quantum Probability and Related Topics 14, no. 03 (September 2011): 419–42. http://dx.doi.org/10.1142/s0219025711004468.

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Starting with a complex Hilbert space, using inductive limits, we build Lie algebras, and find families of representations. They include those often studied in mathematical physics in order to model quantum statistical mechanics or quantum fields. We explore natural actions on infinite tensor algebras T(H) built with a functorial construction, starting with a fixed Hilbert space H. While our construction applies also when H is infinite-dimensional, the case with N ≔ dim H finite is of special interest as the symmetry group we consider is then a copy of the non-compact Lie group U(N, 1). We give the tensor algebra T(H) the structure of a Hilbert space, i.e. the unrestricted infinite tensor product Fock space [Formula: see text]. The tensor algebra T(H) is naturally represented as acting by bounded operators on [Formula: see text], and U (N, 1) as acting as a unitary representation. From this we built a covariant system, and we explore how the fermion, the boson, and the q on Hilbert spaces are reduced by the representations. In particular we display the decomposition into irreducible representations of the naturally defined U (N, 1) representation.
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Bridgeman, Bruce. "Implicit and explicit representations of visual space." Behavioral and Brain Sciences 22, no. 5 (October 1999): 759–60. http://dx.doi.org/10.1017/s0140525x99272184.

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The visual system captures a unique contrast between implicit and explicit representation where the same event (location of a visible object) is coded in both ways in parallel. A method of differentiating the two representations is described using an illusion that affects only the explicit representation. Consistent with predictions, implicit information is available only from targets presently visible, but, surprisingly, a two-alternative decision does not disturb the implicit representation.
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van Wassenhove, Virginie. "Minding time in an amodal representational space." Philosophical Transactions of the Royal Society B: Biological Sciences 364, no. 1525 (July 12, 2009): 1815–30. http://dx.doi.org/10.1098/rstb.2009.0023.

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How long did it take you to read this sentence? Chances are your response is a ball park estimate and its value depends on how fast you have scanned the text, how prepared you have been for this question, perhaps your mood or how much attention you have paid to these words. Time perception is here addressed in three sections. The first section summarizes theoretical difficulties in time perception research, specifically those pertaining to the representation of time and temporal processing. The second section reviews non-exhaustively temporal effects in multisensory perception. Sensory modalities interact in temporal judgement tasks, suggesting that (i) at some level of sensory analysis, the temporal properties across senses can be integrated in building a time percept and (ii) the representational format across senses is compatible for establishing such a percept. In the last section, a two-step analysis of temporal properties is sketched out. In the first step, it is proposed that temporal properties are automatically encoded at early stages of sensory analysis, thus providing the raw material for the building of a time percept; in the second step, time representations become available to perception through attentional gating of the raw temporal representations and via re-encoding into abstract representations.
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Dissertations / Theses on the topic "Representations of space"

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Solstad, Trygve. "Neural representations of Euclidean space." Doctoral thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for nevromedisin, 2009. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-6060.

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Moderne nevrovitenskap bygger på antagelsen om at kognitive fenomener som bevissthet, hukommelse, og stedsans oppstår fra den samlede aktiviteten av individuelle nerveceller. Hjerneområdene hippocampus og entorhinal cortex (EC) er kritiske for hukommelse og stedsans hos både mennesker og dyr. Hos rotter utgjør ’stedceller’ i hippocampus egne kart for hvert miljø rotta utforsker mens ’gitterceller’ i EC utgjør et koordinatsystem som passer til alle miljøer. Både kart og koordinatsystem finnes i ulike skalaer i den øverste (dorsale) delen av hjerneområdene mens det hittil har vært uklart om dypere (ventrale) deler er involvert i stedsansen. Vi angrep spørsmålet ved å måle aktiviteten i enkeltceller langs hele lengden av begge hjerneområder hos rotter som løp frem og tilbake på en 18m spesialkonstruert løpebane, og fant stedceller og gitterceller langs hele lengden av begge hjerneområdene (Artikkel II og III). Skalaen til både stedcellene og gittercellene økte fra å representere steder på mindre enn 1m i den dorsale enden til opp mot 10 meter i den ventrale enden av hjerneområdene. Videre utviklet vi en matematisk modell for hvordan minnekart i hippocampus kan være knyttet til stedskoordinater i EC (Artikkel I), og kom fram til et koblingsskjema mellom gitterceller og stedceller som utnytter den systematiske økningen i skala fra dorsal til ventral. Modellen stemmer godt med de anatomiske koblingene mellom EC og hippocampus, og får støtte av nye eksperimentelle data. Til slutt undersøkte vi hvordan stedskartene i hippocampus er knyttet til miljøets utforming. Tidligere matematiske beregninger har vist at kartenes geometriske forankring kan forklares hvis det finnes en tredje celletype som signaliserer rottas avstand og retning til ulike grenser i miljøet. Vi målte aktivitet i enkeltceller i EC mens rotter utforsket miljøer med ulike geometriske former(Artikkel IV). Blant de andre celletypene fant vi en liten gruppe ”grenseceller” som bare er aktive når rotta løper i nærheten av en vegg eller bordkant. Avhandlingen fremlegger ny evidens for at beregning av hierarkisk organisert stedsinformasjon er et grunnprinsipp for hvordan hippocampus og EC fungerer (f.eks. ved behandling av minner), påviser en hittil ukjent enhet for representasjon av geometri i EC, og antyder hvordan nevrale enheter kan samhandle for å støtte opp under kognitive funksjoner som stedsans og hukommelse.
As cognitive phenomena are believed to arise from neural activity, uncovering how neurons represent Euclidean one- and two-dimensional space provides a foundation for understanding how the brain organizes and processes information about terrestrial objects and events. Neurons in the hippocampus and medial entorhinal cortex (MEC) of rats exhibit discrete spatial receptive fields at a scale that increases with the neuron’s distance from the dorsal pole of both structures. To find out whether spatial processing is a cardinal function of these structures, we recorded neural activity along the dorsal-most 85% of the CA3 area of the hippocampus (Paper II), and dorsal-most 75% of the MEC (Paper III) while rats explored an 18m linear track. Neurons at all dorsoventral levels of both structures displayed spatial receptive fields, implying functional homogeneity within the hippocampus and MEC. Spatial scale increased from dorsal to ventral in both CA3 and MEC. In hippocampus, field length ranged from less than 1m to more than 10m. In the MEC field length ranged from less than 50cm to approximately 3m, and inter-peak distance ranged from less than 1m to at least 8m. The parallel increase in spatial scale suggests a simple transformation from the repetitive spatial metric of grid cells to the unary place-cell representation of space. Developing a mathematical firing-rate model of place-cell activity to exploit this fact, we showed that place fields can be formed from converging grid-cell inputs that cover a range of spatial scales and orientations but have an overlapping firing peak in the placefield center (Paper I). Inferring metric relationships between entities in hippocampal association maps may therefore rely on interaction with the MEC coordinate system. Because metric information is in turn contingent on the geometric layout of the external environment, we initiated a search for neural representations of geometric features in the parahippocampus. A small proportion (< 10%) of cells that discharged close to environmental borders was found in all cellular layers of MEC as well as in pre- and parasubiculum (Paper IV). ‘Border cells’ typically had a firing field apposing one or more walls of the recording enclosure regardless of enclosure shape, size, or which room the rat was exploring, and responded to any wall, drop, or partition that impeded the rat’s exploration. Taken together, this thesis demonstrates that hierarchically organized spatial processing is an integral property of the hippocampus and MEC, extends the evidence for a modular organization of spatial cognition, and suggests how such modules may interact to support behaviorally relevant functions like spatial memory and navigation.
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SOUZA, GABRIEL DE LIMA. "SPACES OF COLLISION: REPRESENTATIONS OF URBAN SPACE IN THE MOVIE CRASH." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2016. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=27361@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO
COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR
PROGRAMA DE SUPORTE À PÓS-GRADUAÇÃO DE INSTS. DE ENSINO
Ao considerarmos a Geografia como uma ciência que contribui para a interpretação da realidade com a finalidade de construir contribuições sobre o entendimento do mundo, percebemos que o cinema torna-se uma importante representação nessa interpretação. A inserção da cidade na relação entre cinema e Geografia, leva-nos a perceber que os fatos narrados não têm a cidade apenas como palco de seu desenvolvimento. Esse desenrolar de situações é construído também pela vida cotidiana na metrópole e pelas relações sociais em ato, ou seja, as práticas sociais. Diante disso, o presente trabalho tem por objetivo analisar os conflitos sociais e as tensões que se dão no espaço urbano a partir das representações vistas no filme Crash – No Limite, uma vez que a própria imagem do cinema apresenta essencialmente analogias com a espacialidade. Pretendemos responder: como podemos pensar essas tensões, os conflitos sociais e, sobretudo, as representações do espaço urbano a partir da representação cinematográfica?
By considering Geography a science that contributes to the interpretation of reality in order to build approaches towards the understanding of the world, we notice that cinema becomes an important representation in this interpretation. Inserting the city in the relation between cinema and Geography leads us to perceive that the narrated facts do not have the city just as stage for its development. Such development of situations is also build by the daily life in the metropolis and by the social relations on , that is, the social practices. Therefore, this work aims to analyze the social conflicts and tensions that occur in urban space from the representations watched in the movie Crash , since cinema s own image essentially presents some analogies with spatiality. We intend to answer: how can we think this tensions, the social conflicts and, most of all, the representations of urban space from the cinematographic representation.
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Canzoneri, Elisa <1984&gt. "Plasticity in body and peripersonal space representations." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2013. http://amsdottorato.unibo.it/5895/.

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A successful interaction with objects in the environment requires integrating information concerning object-location with the shape, dimension and position of body parts in space. The former information is coded in a multisensory representation of the space around the body, i.e. peripersonal space (PPS), whereas the latter is enabled by an online, constantly updated, action-orientated multisensory representation of the body (BR) that is critical for action. One of the critical features of these representations is that both PPS and BR are not fixed, but they dynamically change depending on different types of experience. In a series of experiment, I studied plastic properties of PPS and BR in humans. I have developed a series of methods to measure the boundaries of PPS representation (Chapter 4), to study its neural correlates (Chapter 3) and to assess BRs. These tasks have been used to study changes in PPS and BR following tool-use (Chapter 5), multisensory stimulation (Chapter 6), amputation and prosthesis implantation (Chapter 7) or social interaction (Chapter 8). I found that changes in the function (tool-use) and the structure (amputation and prosthesis implantation) of the physical body elongate or shrink both PPS and BR. Social context and social interaction also shape PPS representation. Such high degree of plasticity suggests that our sense of body in space is not given at once, but it is constantly constructed and adapted through experience.
Allo scopo di interagire con oggetti presenti nell’ambiente esterno è necessario integrare le informazioni sulla posizione degli oggetti nello spazio con informazioni riguardanti la forma, dimensione e posizione delle singole parti del corpo rispetto all’oggetto stesso. Due diverse rappresentazioni supportano la codifica di tali informazioni: da una parte, la rappresentazione dello Spazio Peripersonale, una rappresentazione multisensoriale dello spazio intorno al corpo, e dall’altra una rappresentazione multisensoriale del corpo, costantemente aggiornata e orientata all’azione. Una caratteristica critica di queste rappresentazioni è rappresentata dalle loro proprietà plastiche, cioè dalla possibilità di modificarsi in seguito a diversi tipi di esperienza. In questa tesi mi sono focalizzata sullo studio delle proprietà plastiche delle rappresentazioni del corpo e dello spazio peripersonale. Ho sviluppato una serie di metodi per valutare il confine dello spazio peripersonale (Capitolo 4), per studiare i suoi correlati neurali (Capitolo 3) e per valutare le rappresentazioni multisensoriali del corpo. Questi compiti sono stati usati per studiare modificazioni plastiche del corpo e dello spazio peripersonale in seguito all’utilizzo di uno strumento (Capitolo 5), in seguito a una stimolazione multisensoriale (Capitolo 6), amputazione e impianto di protesi (Capitolo 7) e nell’ambito delle interazioni sociali. I risultati ottenuti hanno mostrato come la modificazione nella funzione (in seguito all’utilizzo di uno strumento) o della struttura fisica (in seguito ad amputazione ed impianto di protesi) del corpo determinano una estensione o una contrazione sia della rappresentazione dello spazio peripersonale che della rappresentazione del corpo. Inoltre, i risultati ottenuti hanno dimostrato che la rappresentazione dello spazio peripersonale viene plasmata anche dalle interazioni sociali. Tale livello di plasticità suggerisce che l’esperienza del nostro corpo viene continuata costruita e aggiornata tramite le diverse esperienze.
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Blacker, U. "Representations of space in contemporary Ukrainian literature." Thesis, University College London (University of London), 2011. http://discovery.ucl.ac.uk/1318068/.

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The thesis examines representations of space in Ukrainian literature from the late 1980s to the late 2000s. It argues that space in this period became an important preoccupation for Ukrainian writers. Representations of cities, architecture, regions, geopolitical spaces, the spaces of the home and of the body became common tropes through which authors tackled the pressing cultural and political issues of the era, and sought cultural and personal identity. The thesis discusses a wide range of leading contemporary Ukrainian authors, looking at their use of space and the aesthetic, cultural and political implications of this use. The thesis is divided into four chapters. The first focuses on the carnivalesque urban writing of the late 1980s and early 1990s, the second on postcolonial and post-Soviet space, the third on gendered space, and the final chapter on the relationship between time, space and text. The thesis argues that the preoccupation with space defined the way in which Ukrainian literature represented the world in the period in question, placing space as an equal and often privileged dimension over time. The second important consequence of this was the development of a spatial conception of text and language itself. The thesis demonstrates that in order to understand Ukrainian literature of the post-independence period, it is necessary to think of it in terms of space. It also argues that study of these texts can provide an understanding of space, both in literature and beyond it.
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Koller, Michael Dominik Fabian. "Topologies on the set of Banach space representations /." [S.l.] : [s.n.], 1993. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=10075.

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Huang, Ruey-Song. "Multisensory representations of space multimodal brain imaging approaches /." Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2006. http://wwwlib.umi.com/cr/ucsd/fullcit?p3214724.

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Thesis (Ph. D.)--University of California, San Diego, 2006.
Title from first page of PDF file (viewed July 11, 2006). Available via ProQuest Digital Dissertations. Vita. Includes bibliographical references.
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Mejía, Israel Moreno. "Representations of the space of n-theta functions." Thesis, Durham University, 2003. http://etheses.dur.ac.uk/3689/.

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Let X be a smooth complex projective curve with group of automorphisms G. In this thesis we apply the Holomorphic Lefschetz Theorem in certain cases to compute the decomposition of the space H (J(_x),O(_n)O)) into a sum of irreducible representations of G, where J(_x) is the Jacobian variety of X and O(O) is the theta line bundle of J(_x). Namely we compute this decomposition in the cases when X is the Klein quartic curve, the Bring curve of genus 4 and the Macbeath curve of genus 7.
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Minor, Sue Blose. "Children's understanding of projective space in two-dimensional representations of three-dimensional space /." The Ohio State University, 1991. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487688973683519.

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Wickramasekara, Sujeewa, and sujeewa@physics utexas edu. "Symmetry Representations in the Rigged Hilbert Space Formulation of." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi993.ps.

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Dunn, Benjamin Mark. "Which way is up? : grounded mental representations of space." Thesis, University of Glasgow, 2016. http://theses.gla.ac.uk/7460/.

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Processing language is postulated to involve a mental simulation, or re-enactment of perceptual, motor, and introspective states that were acquired experientially (Barsalou, 1999, 2008). One such aspect that is mentally simulated during processing of certain concepts is spatial location. For example, upon processing the word “moon” the prominent spatial location of the concept (e.g. ‘upward’) is mentally simulated. In six eye-tracking experiments, we investigate how mental simulations of spatial location affect processing. We first address a conflict in previous literature whereby processing is shown to be impacted in both a facilitatory and inhibitory way. Two of our experiments showed that mental simulations of spatial association facilitate saccades launched toward compatible locations; however, a third experiment showed an inhibitory effect on saccades launched towards incompatible locations. We investigated these differences with further experiments, which led us to conclude that the nature of the effect (facilitatory or inhibitory) is dependent on the demands of the task and, in fitting with the theory of Grounded Cognition (Barsalou, 2008), that mental simulations impact processing in a dynamic way. Three further experiments explored the nature of verticality – specifically, whether ‘up’ is perceived as away from gravity, or above our head. Using similar eye-tracking methods, and by manipulating the position of participants, we were able to dissociate these two possible standpoints. The results showed that mental simulations of spatial location facilitated saccades to compatible locations, but only when verticality was dissociated from gravity (i.e. ‘up’ was above the participant’s head). We conclude that this is not due to an ‘embodied’ mental simulation, but rather a result of heavily ingrained visuo-motor association between vertical space and eye movements.
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Books on the topic "Representations of space"

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Kovalev, O. V. Representations of the crystallographic space groups: Irreducible representations, induced representations, and corepresentations. 2nd ed. Yverdon, Switzerland: Gordon and Breach, 1993.

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Banach-Hilbert spaces, vector measures, and group representations. River Edge, NJ: World Scientific, 2002.

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Hummel, Robert A. Representations based on zero-crossings in scale-space. New York: Courant Institute of Mathematical Sciences, New York University, 1986.

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Schmüdgen, Konrad. An Invitation to Unbounded Representations of ∗-Algebras on Hilbert Space. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-46366-3.

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Simson, Daniel. Linear representations of partially ordered sets and vector space categories. Yverdon, Switzerland: Gordon and Breach Science Publishers, 1992.

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Richard, Dennis. Cities in modernity: Representations and productions of metropolitan space, 1840-1930. New York, NY: Cambridge University Press, 2008.

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Borchers, Hans-Jürgen. Translation group and particle representations in quantum field theory. Berlin: Springer, 1996.

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Arveson, William. An invitation to C*-algebras. 2nd ed. New York: Springer, 1998.

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Bratteli, Ola. Iterated function systems and permutation representations of the Cuntz algebra. Providence, R.I: American Mathematical Society, 1999.

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Tiron, Raluca Elena. Representations of the space of Spain in the exile thetre of Rafael Alberti. Birmingham: University of Birmingham, 2001.

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Book chapters on the topic "Representations of space"

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Jones, Richard H. "State Space Representations." In Longitudinal Data with Serial Correlation, 77–99. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-4489-4_4.

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Miller, David Marshall. "Space, Representations of." In Encyclopedia of Early Modern Philosophy and the Sciences, 1–7. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-319-20791-9_37-1.

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Dinsmore, John. "Space Frogs and Henry Ford." In Partitioned Representations, 193–206. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3574-0_7.

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Ludwig, Wolfgang, and Claus Falter. "Representations of Space Groups." In Springer Series in Solid-State Sciences, 203–29. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-97029-0_9.

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Farman, Jason. "Mobile Representations of Space." In Mobile Interface Theory, 38–65. Second edition. | New York, NY : Routledge, 2020.: Routledge, 2020. http://dx.doi.org/10.4324/9780429460241-3.

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Ludwig, Wolfgang, and Claus Falter. "Representations of Space Groups." In Springer Series in Solid-State Sciences, 203–29. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-79977-8_9.

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West, Russell. "Introduction: Staging Space." In Spatial Representations and the Jacobean Stage, 1–11. London: Palgrave Macmillan UK, 2002. http://dx.doi.org/10.1057/9781403913692_1.

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Hertwig, Ralph, and Renato Frey. "How Representations of Knowledge Shape Actions." In Knowledge and Space, 127–43. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-44588-5_8.

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Kechris, Alexander. "The space of unitary representations." In Mathematical Surveys and Monographs, 207–22. Providence, Rhode Island: American Mathematical Society, 2010. http://dx.doi.org/10.1090/surv/160/11.

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Bogatyrev, Andrei. "Representations for the Moduli Space." In Springer Monographs in Mathematics, 29–52. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25634-9_3.

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Conference papers on the topic "Representations of space"

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Shao, Zhong, and Andrew W. Appel. "Space-efficient closure representations." In the 1994 ACM conference. New York, New York, USA: ACM Press, 1994. http://dx.doi.org/10.1145/182409.156783.

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Arditi, Aries. "Alternative Representations of Visual Space." In OE/LASE '89, edited by Scott S. Fisher and Woodrow E. Robbins. SPIE, 1989. http://dx.doi.org/10.1117/12.952894.

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Koutaki, Gou, and Keiichi Uchimura. "Scale-Space Processing Using Polynomial Representations." In 2014 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2014. http://dx.doi.org/10.1109/cvpr.2014.345.

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Ojeda-Castaneda, Jorge. "Phase-Space representations for Phase Engineering." In Computational Optical Sensing and Imaging. Washington, D.C.: OSA, 2005. http://dx.doi.org/10.1364/cosi.2005.cmc1.

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Mizrahi, Avi, and Ori Rottenstreich. "State Sharding with Space-aware Representations." In 2020 IEEE International Conference on Blockchain and Cryptocurrency (ICBC). IEEE, 2020. http://dx.doi.org/10.1109/icbc48266.2020.9169402.

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Molloy, Kevin, M. Jennifer Van, Daniel Barbara, and Amarda Shehu. "Higher-order representations of protein structure space." In 2013 IEEE 3rd International Conference on Computational Advances in Bio and Medical Sciences (ICCABS). IEEE, 2013. http://dx.doi.org/10.1109/iccabs.2013.6629202.

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Alonso, Miguel A., Jonathan C. Petruccelli, and Seongkeun Cho. "Generalized phase space representations in classical optics." In International Commission for Optics (ICO 22), edited by Ramón Rodríguez-Vera and Rufino Díaz-Uribe. SPIE, 2011. http://dx.doi.org/10.1117/12.903310.

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Bouraoui, Zied, and Steven Schockaert. "Learning Conceptual Space Representations of Interrelated Concepts." In Twenty-Seventh International Joint Conference on Artificial Intelligence {IJCAI-18}. California: International Joint Conferences on Artificial Intelligence Organization, 2018. http://dx.doi.org/10.24963/ijcai.2018/243.

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Several recently proposed methods aim to learn conceptual space representations from large text collections. These learned representations associate each object from a given domain of interest with a point in a high-dimensional Euclidean space, but they do not model the concepts from this domain, and can thus not directly be used for categorization and related cognitive tasks. A natural solution is to represent concepts as Gaussians, learned from the representations of their instances, but this can only be reliably done if sufficiently many instances are given, which is often not the case. In this paper, we introduce a Bayesian model which addresses this problem by constructing informative priors from background knowledge about how the concepts of interest are interrelated with each other. We show that this leads to substantially better predictions in a knowledge base completion task.
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Ojeda-Castañeda, Jorge, and Cristina M. Gómez-Sarabia. "Optical coherent processors in phase-space representations." In SPIE Optical Engineering + Applications, edited by H. John Caulfield and Henri H. Arsenault. SPIE, 2011. http://dx.doi.org/10.1117/12.895436.

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Hughes, Kenneth F., and Alade Tokuta. "Free-space representations for robot path planning." In Orlando '90, 16-20 April, edited by Mohan M. Trivedi. SPIE, 1990. http://dx.doi.org/10.1117/12.21091.

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Reports on the topic "Representations of space"

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Goodman, I. R. Algebraic Representations of Linguistic and Numerical Modifications of Probability Statements and Inferences Based on a Product Space Construction. Fort Belvoir, VA: Defense Technical Information Center, March 1996. http://dx.doi.org/10.21236/ada306334.

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Diaz, Fernando. Using Wearable Computers to Construct Semantic Representations of Physical Spaces. Fort Belvoir, VA: Defense Technical Information Center, January 2005. http://dx.doi.org/10.21236/ada439417.

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Aganj, Iman, Christophe Lenglet, and Guillermo Sapiro. ODF Maxima Extraction in Spherical Harmonic Representation via Analytical Search Space Reduction. Fort Belvoir, VA: Defense Technical Information Center, May 2010. http://dx.doi.org/10.21236/ada540656.

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Rosinski, J. On Stochastic Integral Representation of Stable Processes with Sample Paths in Banach Spaces. Fort Belvoir, VA: Defense Technical Information Center, January 1985. http://dx.doi.org/10.21236/ada152927.

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Chervinchuk, Alina. THE CONCEPT OF ENEMY: REPRESENTATION IN THE UKRAINIAN MILITARY DOCUMENTARIES. Ivan Franko National University of Lviv, February 2021. http://dx.doi.org/10.30970/vjo.2021.49.11063.

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Research methodology. The following methods were used in this research: general scientific methods (descriptive, analysis, synthesis, comparison) and special (structural, hermeneutic, narrative, method of content analysis). We identified words related to the concept of the enemy and determined the context in which they are used by the authors of the collections Results. The formats of reflection of military reality in collections of military documentaries are investigated. It is emphasized that the authors-observers of events as professional communicators form a vision of events based on categories understandable to the audience – «own» and «others». Instead, the authors-participants go events have more creative space and pay more attention to their own emotional state and reflections. It is defined how the enemy is depicted and what place he occupies in the military reality represented by the authors. It is emphasized that the authors reflect the enemy in different ways. In particular, the authors-observers of the events tried to form a comprehensive vision of the events, and therefore paid much attention to the opposite side of the military conflict. Authors-participants of the events tend to show the enemy as a mass to be opposed. In such collections, the enemy is specified only in the presence of evidence confirming the presence of Russians or militants. Novelty. The research for the first time investigates the methods of representation of mi­litary activity in the collections of Ukrainian military documentaries. The article is devoted to the analysis of how the authors represent the enemy. Practical importance. The analysis of collections of military documentaries will allow to study the phenomenon of war and to trace the peculiarities of the authors’ representation of military reality.
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Teolis, Anthony. Discrete Representation of Signals from Infinite Dimensional Hilbert Spaces with Application to Noise Suppression and Compression. Fort Belvoir, VA: Defense Technical Information Center, January 1993. http://dx.doi.org/10.21236/ada453215.

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Mynatt, F. R. Testimony (on space nuclear power) before the Subcommittee on Energy Research and Production of the Committee on Science and Technology, US House of Representatives. Office of Scientific and Technical Information (OSTI), October 1985. http://dx.doi.org/10.2172/5096559.

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M., K. Discrimination, Marginalisation and Targeting of Ahmadi Muslim Women in Pakistan. Institute of Development Studies (IDS), December 2020. http://dx.doi.org/10.19088/creid.2020.014.

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Ahmadi Muslims are criminalised for practising their faith in Pakistan which has resulted in widespread discrimination and continuous, sporadic acts of violence leading many to flee their cities or their country altogether. This is not always an option for those who are poor and socioeconomically excluded. A recent study into the experiences and issues faced by socioeconomically excluded women from the Ahmadiyya Muslim community has found that Ahmadi Muslim women in particular are marginalised, targeted, and discriminated against in all aspects of their lives, including in their lack of access to education and jobs, their inability to fully carry out their religious customs, day-to-day harassment, and violence and lack of representation in decision-making spaces.
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McMillan, Caitilin, Anna Tonelli, and Kristina Mader. "Do Our Voices Matter?": An analysis of women civil society representatives’ meaningful participation at the UN Security Council. Oxfam, NGO Working Group on Women, Peace and Security (NGOWG), December 2020. http://dx.doi.org/10.21201/2020.7116.

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Peace is made at home, in the streets, in our communities – and on the world stage. In all these spaces, women in all their diversity work to forge the conditions that make peace possible. Perhaps nowhere is this clearer than in conflict-affected countries, where diverse women’s organizations draw attention to human rights violations happening in wars, and offer alternative paths to peace. While women in civil society often lead the way in preventing and bringing an end to violence, they are not included meaningfully in peace and security decision-making, even at the UN Security Council (UNSC) – the guardian of the Women, Peace and Security agenda. This report, jointly published by Oxfam and the NGOWG, explores the practice of inviting women civil society representatives to brief the UNSC. It intends to push beyond the idea of participation as a checkbox exercise and analyzes the extent to which women’s voices form part of UNSC deliberations, and which conditions mean their participation has the most impact.
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Trivelpiece, A. W. International science and technology policies: Testimony before the Subcommittee on International Scientific Cooperation, Committee on Science, Space, and Technology, United States House of Representatives, April 4, 1990. Office of Scientific and Technical Information (OSTI), April 1990. http://dx.doi.org/10.2172/7037883.

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