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Popal, Haroon, Yin Wang, and Ingrid R. Olson. "A Guide to Representational Similarity Analysis for Social Neuroscience." Social Cognitive and Affective Neuroscience 14, no. 11 (2019): 1243–53. http://dx.doi.org/10.1093/scan/nsz099.
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Abstract Representational similarity analysis (RSA) is a computational technique that uses pairwise comparisons of stimuli to reveal their representation in higher-order space. In the context of neuroimaging, mass-univariate analyses and other multivariate analyses can provide information on what and where information is represented but have limitations in their ability to address how information is represented. Social neuroscience is a field that can particularly benefit from incorporating RSA techniques to explore hypotheses regarding the representation of multidimensional data, how representations can predict behavior, how representations differ between groups and how multimodal data can be compared to inform theories. The goal of this paper is to provide a practical as well as theoretical guide to implementing RSA in social neuroscience studies.
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Ruliani, Iva Desi, Nizaruddin Nizaruddin, and Yanuar Hery Murtianto. "Profile Analysis of Mathematical Problem Solving Abilities with Krulik & Rudnick Stages Judging from Medium Visual Representation." JIPM (Jurnal Ilmiah Pendidikan Matematika) 7, no. 1 (2018): 22. http://dx.doi.org/10.25273/jipm.v7i1.2123.
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The ability to solve mathematical problems is very important in learning math and everyday life. According to Krulik & Rudnick there are 5 stages of problem solving that is Read, Explore, Select A Strategy, Solve And Look Back. Mathematical problems require multiple representational skills to communicate problems, one of which is visual representation. Trigonometry is one of the materials that uses visual representation. This research is a qualitative descriptive research that aims to describe the ability of problem solving mathematics with Krulik & Rudnick stages in terms of visual representation. The study was conducted in MAN 2 Brebes. Determination of Subjects in this study using Purposive Sampling. Research instruments used to obtain the required data are visual representation and problem-solving tests, and interview guidelines. The data obtained were analyzed based on the Krulik & Rudnick problem solving indicator. Subjects in this study were subjects with moderate visual representation. Based on the results, problem solving ability of the subject is not fully fulfilled. Subjects with visual representations are able to do problem solving well that is solving the problem through a concept that is understood without visualization of the image. Subjects with visual representations are having a schematic visual representation type.
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Stone, Christopher, and Larry Bull. "For Real! XCS with Continuous-Valued Inputs." Evolutionary Computation 11, no. 3 (2003): 299–336. http://dx.doi.org/10.1162/106365603322365315.
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Many real-world problems are not conveniently expressed using the ternary representation typically used by Learning Classifier Systems and for such problems an interval-based representation is preferable. We analyse two interval-based representations recently proposed for XCS, together with their associated operators and find evidence of considerable representational and operator bias. We propose a new interval-based representation that is more straightforward than the previous ones and analyse its bias. The representations presented and their analysis are also applicable to other Learning Classifier System architectures. We discuss limitations of the real multiplexer problem, a benchmark problem used for Learning Classifier Systems that have a continuous-valued representation, and propose a new test problem, the checkerboard problem, that matches many classes of real-world problem more closely than the real multiplexer. Representations and operators are compared using both the real multiplexer and checkerboard problems and we find that representational, operator and sampling bias all affect the performance of XCS in continuous-valued environments.
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Rextin, Aimal Tariq, Fatima Iftekhar, Muhammad Muddasir Malik, and Faheem Abbas. "Comparative Analysis of Flight Search Representations." Journal of Organizational and End User Computing 31, no. 4 (2019): 74–88. http://dx.doi.org/10.4018/joeuc.2019100104.
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Visualization has been extensively used in almost all the fields, but unfortunately, there is very little work on the visualization of flight search. The literature discusses only two representations: textual representation and linear representation. In this study, the authors introduce a new form of visualization called circular representation and compare it with the existing visualization techniques. The authors found that each representation has its own merits and demerits. More specifically, they found that users were able to find required flight circular efficiently when using circular representation, while most errors were committed by the user when using textual representation, and users ranked circular representation low in terms of qualitative satisfaction.
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Kawabata, Ryo, Yuki Ishikawa, Kenji Masuda, and Kiyoshi Itoh. "THE INTEGRATED ENVIRONMENT FOR SUPPORTING COLLABORATIVE ANALYSIS." Journal of Integrated Design and Process Science: Transactions of the SDPS, Official Journal of the Society for Design and Process Science 12, no. 2 (2008): 11–26. http://dx.doi.org/10.3233/jid-2008-12203.
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In systems analysis, the target system is analyzed by collaboration between two or more analysts. Systems development is performed by analyzing the target system from various viewpoints. From each viewpoint, corresponding chart representation which is suitable for the viewpoint is described. The chart representation is not described from scratch, but it is described by using knowledge included in the other chart representations that are already described. There are two types of collaborations in describing chart representations. The one type is that plural analysts describe the one chart representation collaboratively. The other type is that each analyst describes different kinds of chart representations. In this paper, the authors propose the system called CiCCS (Collaborative inter-Chart Conversion System) for supporting to describe chart representations by collaboration between two or more analysts. CiCCS has analysis processes which include a set of chart representations, the usage of them and the order of them. The navigator guides system analysts with the analysis processes which include a set of chart representations and the usage of them according to the purpose of analysis. Analysts can describe chart representations in accordance with the analysis process or analyst's own order. CiCCS has a converter which extracts a skeleton of a chart representation from the other chart representations.
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ABALASEI, BEATRICE-AURELIA. "Sport games: An analysis of representation." New Trends and Issues Proceedings on Humanities and Social Sciences 4, no. 1 (2017): 164–68. http://dx.doi.org/10.18844/prosoc.v4i1.2250.
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Khaerun Nisa, Rachmawati, and Reza Muhamad Zaenal. "Analysis Of Students' Mathematical Representation Ability in View of Learning Styles." Indo-MathEdu Intellectuals Journal 4, no. 2 (2023): 99–109. http://dx.doi.org/10.54373/imeij.v4i2.119.
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Students' mathematical representation ability from the point of view of learning styles, we can see that learning styles play an important role in how students absorb mathematical information. The visual learning style involves using pictures, diagrams and other visual representations to understand math concepts. The auditory learning style involves a preference for listening to oral explanations or participating in discussions. Meanwhile, the kinesthetic learning style involves physical movement to gain an understanding of mathematics. This study aims to determine: 1) the representational ability of students who have a visual learning style, 2) the representational ability of students who have a kinesthetic learning style, 3) the representational ability of students who have an auditory learning style. In this study using descriptive qualitative research methods to determine the ability of mathematical representation which has a learning style for each student in class VII-F SMP Negeri 2 Kuningan. Data were collected through learning style questionnaires, representation ability tests and interviews with students. The results of the learning style questionnaire for the majority of students have a rich visual learning of 42%, kinesthetic 30% and auditory 28%. The results of the representation ability test showed that students with visual learning styles had high mathematical representation abilities, while the majority of students with auditory and kinesthetic learning styles were categorized as moderate. Interviews with students revealed that learning understanding can be understood by means of their learning styles. However, teachers face obstacles in choosing learning models that suit students' learning styles and need to understand individual learning needs. Students' activities in learning mathematics also still need to be improved, especially in the ability to discuss, conclude, and make summaries. Therefore, further efforts are needed to pay attention to differences in student abilities and develop appropriate strategies to increase student interaction and participation in learning mathematics.
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Zhang, Jun. "Divergence Function, Duality, and Convex Analysis." Neural Computation 16, no. 1 (2004): 159–95. http://dx.doi.org/10.1162/08997660460734047.
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From a smooth, strictly convex function Φ: Rn → R, a parametric family of divergence function DΦ(α) may be introduced: [Formula: see text] for x, y, ε int dom(Φ) and for α ε R, with DΦ(±1 defined through taking the limit of α. Each member is shown to induce an α-independent Riemannian metric, as well as a pair of dual α-connections, which are generally nonflat, except for α = ±1. In the latter case, D(±1)Φ reduces to the (nonparametric) Bregman divergence, which is representable using and its convex conjugate Φ * and becomes the canonical divergence for dually flat spaces (Amari, 1982, 1985; Amari & Nagaoka, 2000). This formulation based on convex analysis naturally extends the information-geometric interpretation of divergence functions (Eguchi, 1983) to allow the distinction between two different kinds of duality: referential duality (α -α) and representational duality (Φ Φ *). When applied to (not necessarily normalized) probability densities, the concept of conjugated representations of densities is introduced, so that ± α-connections defined on probability densities embody both referential and representational duality and are hence themselves bidual. When restricted to a finite-dimensional affine submanifold, the natural parameters of a certain representation of densities and the expectation parameters under its conjugate representation form biorthogonal coordinates. The alpha representation (indexed by β now, β ε [−1, 1]) is shown to be the only measure-invariant representation. The resulting two-parameter family of divergence functionals D(α, β), (α, β) ε [−1, 1] × [-1, 1] induces identical Fisher information but bidual alpha-connection pairs; it reduces in form to Amari's alpha-divergence family when α =±1 or when β = 1, but to the family of Jensen difference (Rao, 1987) when β = 1.
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Erita, Selvia, Tami Mulyani, and Aan Putra. "Analysis Of Mathematic Representation Ability In Online Learning." Mathline : Jurnal Matematika dan Pendidikan Matematika 8, no. 1 (2023): 101–12. http://dx.doi.org/10.31943/mathline.v8i1.259.
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ABSTRACT The outbreak of the corona virus has had an impact on various sectors, especially the education sector. The application of online learning has been implemented in almost all schools in Indonesia. However, judging from the results of various studies and some experiences, the online learning process in Indonesia has previously been carried out well. Mathematical representation skills are needed so that students understand mathematical concepts well. This study aims to analyze the ability of mathematical representation in online learning. The method used is descriptive qualitative type. The instrument used is a mathematical representation ability test and interview guidelines. The data analysis technique used is the stages of data reduction, data display and making overall conclusions. Data analysis of test results was used to determine the level of students' mathematical representation abilities, while interviews were to strengthen test results and determine student learning constraints. Based on the results of the study, it was found that students' visual representations were more dominant than other types of representations. The students' mathematical visual representation ability is in the sufficient (moderate) category, while the students' symbolic representation ability is very poor and the students' verbal representation ability is in the poor category.
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Crichton, Cristina. "Heidegger on Representation: the Danger Lurking in the a Priori." Tópicos, Revista de Filosofía, no. 56 (December 13, 2018): 167–96. http://dx.doi.org/10.21555/top.v0i56.1032.
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Heidegger’s stance towards representational thinking has been widely discussed and debated. In this paper I show how based on an analysis of the mathematical in modern science in Die Frage nach dem Ding, Heidegger draws up a distinction between intuitive representations and representations against experience. I argue that this last type of representations corresponds to his understanding of the way in which representational thinking takes place in modernity, that is, modern representations. Based on an analysis of these two types of representation I claim that in the mid-30s Heidegger realizes that thinking being as the a priori carries a danger, which consists in the fact that being can break its relation with that which is given in ordinary experience and become determined by pure reason alone, and that this danger is the decisive factor underlying Heidegger’s critical stance towards modern representations.
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WEIHRAUCH, KLAUS, YONGCHENG WU, and DECHENG DING. "Absolutely non-computable predicates and functions in analysis." Mathematical Structures in Computer Science 19, no. 1 (2009): 59–71. http://dx.doi.org/10.1017/s096012950800724x.
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In the representation approach (TTE) to computable analysis, the representations of an algebraic or topological structure for which the basic predicates and functions become computable are of particular interest. There are, however, many predicates (like equality of real numbers) and functions that are absolutely non-computable, that is, not computable for any representation. Many of these results can be deduced from a simple lemma. In this article we prove this lemma for multi-representations and apply it to a number of examples. As applications, we show that various predicates and functions on computable measure spaces are absolutely non-computable. Since all the arguments are topological, we prove that the predicates are not relatively open and the functions are not relatively continuous for any multi-representation.
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Shao, Zhong. "Flexible representation analysis." ACM SIGPLAN Notices 32, no. 8 (1997): 85–98. http://dx.doi.org/10.1145/258949.258958.
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Coffey, Amanda, Holbrook Beverley, and Atkinson Paul. "Qualitative Data Analysis: Technologies and Representations." Sociological Research Online 1, no. 1 (1996): 80–91. http://dx.doi.org/10.5153/sro.1.
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In this paper we address a number of contemporary themes concerning the analysis of qualitative data and the ethnographic representation of social realities. A contrast is drawn. On the one hand, a diversity of representational modes and devices is currently celebrated, in response to various critiques of conventional ethnographic representation. On the other hand, the widespread influence of computer- assisted qualitative data analysis is promoting convergence on a uniform mode of data analysis and representation (often justified with reference to grounded theory). We note the ironic contrast between these two tendencies, the heterodox and the orthodox, in contemporary qualitative research. We go on to suggest that there exist alternatives that reflect both the diversity of representational approaches, and the broader possibilities of contemporary computing. We identify the technical and intellectual possibilities of hypertext software as offering just one such synthesis.
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Gheibi, Sanaz, Tania Banerjee, Sanjay Ranka, and Sartaj Sahni. "Path Algorithms for Contact Sequence Temporal Graphs." Algorithms 17, no. 4 (2024): 148. http://dx.doi.org/10.3390/a17040148.
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This paper proposes a new time-respecting graph (TRG) representation for contact sequence temporal graphs. Our representation is more memory-efficient than previously proposed representations and has run-time advantages over the ordered sequence of edges (OSE) representation, which is faster than other known representations. While our proposed representation clearly outperforms the OSE representation for shallow neighborhood search problems, it is not evident that it does so for different problems. We demonstrate the competitiveness of our TRG representation for the single-source all-destinations fastest, min-hop, shortest, and foremost paths problems.
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Ritchi, Hamzah, Mieke Jans, Jan Mendling, and Hajo A. Reijers. "The Influence of Business Process Representation on Performance of Different Task Types." Journal of Information Systems 34, no. 1 (2019): 167–94. http://dx.doi.org/10.2308/isys-52385.
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ABSTRACT The analysis of business processes is an integral part of audit methodology. In both auditing research and process modeling research, there is an ongoing debate on which representation format might be best suited to support analysis tasks. Most important in this context is the question of whether process models as visual representation might be superior to textual narratives. This paper investigates the affinity of different tasks with two process representational formats: textual narratives and visual diagrams (BPMN models). Our findings demonstrate that the representation format has an impact on task performance and that the direction of this impact depends upon the affinity of the tasks type with the representation format. This implies that auditors are best provided with different process representations, depending on the task they are performing. These findings have important implications for research on auditing tasks, and more broadly also for software engineering and information systems research.
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Kawabata, Ryo, Yuji Senuma, Jun Maruyama, and Kiyoshi Itoh. "EVOLUTIONAL SYSTEMS ANALYSIS AND ITS TOOL BY EFFECTIVE USE OF CHART REPRESENTATIONS." Journal of Integrated Design and Process Science: Transactions of the SDPS, Official Journal of the Society for Design and Process Science 9, no. 1 (2005): 17–30. http://dx.doi.org/10.3233/jid-2005-9102.
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As systems analysis evolves, many kinds of chart representations are described to develop the target system. The characteristics of the chart representations such as viewpoint, components, etc. are different in each other. In system analysis and design, the analysis with several level of detail and with two or more viewpoints is performed to grasp the system correctly. To describe the system, the several chart representations in two or more viewpoints are used. Each chart representation is not described from scratch, but described by using components included in the other chart representations based on an analyst's experience. In order to describe the chart representations efficiently, interrelationships between several chart representations are clarified. By using the interrelationships, the components described in a chart representation can be used in the other chart representation. As one of analysis processes, three kinds of chart representations such as Petri Net, E-R Diagram and SFC (Sequential Function Chart) are used. To extract components effectively, the discipline is introduced in the description of Petri Net.
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Karomah, Ilo Guruilo, and Siska Dwi Astiati. "Analysis of Students' Mathematical Representation Ability Based on Mathematics Ability." JUPE : Jurnal Pendidikan Mandala 9, no. 2 (2024): 293. http://dx.doi.org/10.58258/jupe.v9i2.6956.
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The aim of this research is to explore and describe students' mathematical representation abilities based on their level of mathematical ability. This type of research is descriptive with a qualitative approach. The research subjects were 25 students, 13 male students and 12 female students. Then 3 students with high, medium and low abilities were selected. The research results show that highly skilled subjects can re-present information or data from certain representations in the form of visual representations, can express mathematical equations and write down steps to solve mathematical problems in words. Subjects with moderate abilities only present information or data from certain representations in the form of visual representations and express mathematical equations. while low ability subjects can only solve problems involving mathematical expressions or equations. Basically, mathematical representation skills are very important and needed by students to understand the material provided and solve problems. If mathematical representation skills are lacking, it causes a lack of student understanding of the material provided so that students find it difficult to understand and work on the questions provided.
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Kominakis, A. P. "Graph analysis of animals' pedigrees." Archives Animal Breeding 44, no. 5 (2001): 521–30. http://dx.doi.org/10.5194/aab-44-521-2001.
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Abstract. In the present work an attempt to apply graph analysis on visual representations of animals' pedigrees is presented. Analysis of pedigree networks of moderate size (tens or hundreds of points) can substantially contribute to revealing the relational structures between animals. Partitioning graphic representations of pedigree networks to smaller parts (blocks) by means of network decomposition methods resulted in better handling and understanding of horse genealogical data. Analysis of pedigree networks could be used to estimate shortest kinship paths among animals, determinate all predecessors and successors of selected animals and finally to estimate inbreeding coefficients of selected individuals. Detection of families and animals with major gene contribution could substantially be facilitated. Graphic representation of pedigree networks provide simultaneous, dynamic and parsimonious representation of kinship, interrelations and constituent structures.
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Gutsche, Oliver, and Igor Mandrichenko. "Striped Data Analysis Framework." EPJ Web of Conferences 245 (2020): 06042. http://dx.doi.org/10.1051/epjconf/202024506042.
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A columnar data representation is known to be an efficient way for data storage, specifically in cases when the analysis is often done based only on a small fragment of the available data structures. A data representation like Apache Parquet is a step forward from a columnar representation, which splits data horizontally to allow for easy parallelization of data analysis. Based on the general idea of columnar data storage, working on the [LDRD Project], we have developed a striped data representation, which, we believe, is better suited to the needs of High Energy Physics data analysis. A traditional columnar approach allows for efficient data analysis of complex structures. While keeping all the benefits of columnar data representations, the striped mechanism goes further by enabling easy parallelization of computations without requiring special hardware. We will present an implementation and some performance characteristics of such a data representation mechanism using a distributed no-SQL database or a local file system, unified under the same API and data representation model. The representation is efficient and at the same time simple so that it allows for a common data model and APIs for wide range of underlying storage mechanisms such as distributed no-SQL databases and local file systems. Striped storage adopts Numpy arrays as its basic data representation format, which makes it easy and efficient to use in Python applications. The Striped Data Server is a web service, which allows to hide the server implementation details from the end user, easily exposes data to WAN users, and allows to utilize well known and developed data caching solutions to further increase data access efficiency. We are considering the Striped Data Server as the core of an enterprise scale data analysis platform for High Energy Physics and similar areas of data processing. We have been testing this architecture with a 2TB dataset from a CMS dark matter search and plan to expand it to multiple 100 TB or even PB scale. We will present the striped format, Striped Data Server architecture and performance test results.
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Bikchentaev, Airat M., and Rinat S. Yakushev. "Representation of tripotents and representations via tripotents." Linear Algebra and its Applications 435, no. 9 (2011): 2156–65. http://dx.doi.org/10.1016/j.laa.2011.04.003.
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Rif'at, Mohamad, Sudiansyah Sudiansyah, and Khoirunnisa Imama. "Role of visual abilities in mathematics learning: An analysis of conceptual representation." Al-Jabar : Jurnal Pendidikan Matematika 15, no. 1 (2024): 87. http://dx.doi.org/10.24042/ajpm.v15i1.22406.
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Background: In mathematics education, the understanding of concepts is often influenced by students' visual abilities, making conceptual representation crucial in facilitating comprehension of the material.Aim: This study aims to analyze the role of visual abilities in facilitating the understanding of mathematical concepts through conceptual representation.Method: This research combines quantitative analysis with the use of attribute control diagrams to evaluate data obtained from tasks designed to test students' visual abilities in a mathematical context. These tasks include the manipulation of visual representations and problem-solving using geometric concepts.Results: The findings indicate that 80% of the sample possessed visual abilities that did not meet the expected index, showing a wide variation in students' visual representation abilities. Additionally, most students (70%) were more likely to choose familiar geometric representations in problem-solving, despite difficulties in manipulating more complex concepts.Conclusion: This study demonstrates that students often struggle to effectively utilize visual representations, preferring algebraic approaches that do not fully exploit the potential of conceptual representation. The findings suggest that an increased focus on developing visual abilities, especially in conceptual representation, could strengthen mathematical understanding. Further research is needed to develop intervention strategies that can help students overcome gaps in their visual abilities.
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Zaim, Ilma Aulia, Mohammad Isa Pramana Koesoemadinata, and Siwi Anjar Sari. "Sundanese Culture Representation in Tourism Marketing: A Visual Content and Semiotic Analysis of Website Pictorial Element." Asian Journal of Technology Management (AJTM) 15, no. 3 (2022): 224–34. http://dx.doi.org/10.12695/ajtm.2022.15.3.3.
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Abstract. Cultural representations play an important role in tourism marketing. However, it is argued that the representation of Sundanese tradition and culture in the tourism marketing of Bandung is often overshadowed by the modern representation of the city. This paper explores the representation of Sundanese culture on the pictorial elements of the websites that promote Bandung tourism. This study used visual content analysis and semiotic analysis of the representations of Sundanese culture in Bandung promotional websites through pictorial data collections and coding of 83 websites and a total of 658 images. The results indicate that Sundanese traditional food dominates the representation of Sundanese culture in Bandung tourism marketing. Furthermore, this study suggests that Sundanese culture represents closeness to nature, harmony, warmth, egalitarianism, and togetherness. Implications to practice along with recommendations for future research are provided. Keywords: Cultural representation, visual content analysis, semiotic analysis, sundanese culture, pictorial destination image
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Singh, Pushpendra. "Novel Fourier quadrature transforms and analytic signal representations for nonlinear and non-stationary time-series analysis." Royal Society Open Science 5, no. 11 (2018): 181131. http://dx.doi.org/10.1098/rsos.181131.
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The Hilbert transform (HT) and associated Gabor analytic signal (GAS) representation are well known and widely used mathematical formulations for modelling and analysis of signals in various applications. In this study, like the HT, to obtain quadrature component of a signal, we propose novel discrete Fourier cosine quadrature transforms (FCQTs) and discrete Fourier sine quadrature transforms (FSQTs), designated as Fourier quadrature transforms (FQTs). Using these FQTs, we propose 16 Fourier quadrature analytic signal (FQAS) representations with following properties: (1) real part of eight FQAS representations is the original signal, and imaginary part of each representation is FCQT of real part; (2) imaginary part of eight FQAS representations is the original signal, and real part of each representation is FSQT of imaginary part; (3) like the GAS, Fourier spectrum of all FQAS representations has only positive frequencies; however, unlike the GAS, real and imaginary parts of FQAS representations are not orthogonal. The Fourier decomposition method (FDM) is an adaptive data analysis approach to decompose a signal into a set Fourier intrinsic band functions. This study also proposes new formulations of the FDM using discrete cosine transform with GAS and FQAS representations, and demonstrates its efficacy for improved time-frequency-energy representation and analysis of many real-life nonlinear and non-stationary signals.
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Ahmed, Majid Hameed, Sabrina Tiun, Nazlia Omar, and Nor Samsiah Sani. "A multi-view representation technique based on principal component analysis for enhanced short text clustering." PLOS ONE 19, no. 8 (2024): e0309206. http://dx.doi.org/10.1371/journal.pone.0309206.
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Clustering texts together is an essential task in data mining and information retrieval, whose aim is to group unlabeled texts into meaningful clusters that facilitate extracting and understanding useful information from large volumes of textual data. However, clustering short texts (STC) is complex because they typically contain sparse, ambiguous, noisy, and lacking information. One of the challenges for STC is finding a proper representation for short text documents to generate cohesive clusters. However, typically, STC considers only a single-view representation to do clustering. The single-view representation is inefficient for representing text due to its inability to represent different aspects of the target text. In this paper, we propose the most suitable multi-view representation (MVR) (by finding the best combination of different single-view representations) to enhance STC. Our work will explore different types of MVR based on different sets of single-view representation combinations. The combination of the single-view representations is done by a fixed length concatenation via Principal Component analysis (PCA) technique. Three standard datasets (Twitter, Google News, and StackOverflow) are used to evaluate the performances of various sets of MVRs on STC. Based on experimental results, the best combination of single-view representation as an effective for STC was the 5-views MVR (a combination of BERT, GPT, TF-IDF, FastText, and GloVe). Based on that, we can conclude that MVR improves the performance of STC; however, the design for MVR requires selective single-view representations.
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Wahyu Hidayati, Destia, and Arie Wahyuni. "Analysis of Mathematical Representation Ability Based on Level of Reading Interest in Geometry Course." Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang 5, no. 2 (2021): 271. http://dx.doi.org/10.31331/medivesveteran.v5i2.1671.
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Reading literacy activities are currently being held by all levels of education. Literacy activities have a positive effect on students in understanding information. The ability to understand information can be realized through mathematical representation, which is one of the main elements in mathematical understanding. This research can help educators in mapping the mathematical representation ability based on the reading interest of students. The purpose of this research is to identify which indicators can be mastered by students who have reading interests at high, medium, and low levels. This research is qualitative. The research subjects were students of the Mathematics Education Department of Ivet University. The data collection procedures used were scale, test, and interview. The instruments of this study were the reading interest scale, mathematical representation ability test, and interview sheets. The data analysis technique of this study adopted data analysis techniques from Miles and Huberman. The conclusions of this study are (1) students with high and medium reading levels have the ability to represent mathematical representations to model and interpret physical, social, and mathematical phenomena; have the ability of mathematical representations to create and use representations to communicate mathematical ideas or concepts; have the ability of mathematical representations in selecting, applying, and translating mathematical representations to solve problems, (2) students with a low reading level have lacked on the ability of mathematical representations to use representations to model and interpret physical, social, and mathematical phenomena, thus it caused them couldn’t mastering the ability of mathematical representations to create and use representations to communicate mathematical ideas or concepts and the ability of mathematical representations to select, apply, and translate mathematical representations to solve problems.
 Keywords: mathematical representation ability, reading interest, geometry.
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Rahayu, Wardani, and Rizka Zakiah. "Analysis of Mathematical Representation Ability Development in Secondary High School." International Journal of Engineering & Technology 7, no. 4.38 (2018): 1301. http://dx.doi.org/10.14419/ijet.v7i4.38.27810.
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This study aims to determine the development of mathematical representation skills of junior high school students (SMP) based on mathematical exam results data in 2014-2016. The research data was obtained from responses of students' answers consisting of 1,535 students in 2014 and 2,000 students in 2015 and 2016 classified based on indicators of mathematical representation ability. In addition, the classification of student response data is also by gender and type of school. This research is a descriptive research using tables and graphs to describe data analysis of the development of the ability of mathematical representation in each year. The results show that the average percentage of mathematical representation ability of junior high school students in creating and using representations to organize, record and communicate mathematical ideas decrease every year. In indicators uses representation to model and interpret the physical, social, and mathematical phenomena increase in 2014 to 2015 but decrease in 2016. In general, the average percentage of mathematical representation ability of male students is higher than female.
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Ate, O., P. Parno, and N. Munfaridah. "Multirepresentation in Physics Learning Research: A Content Analysis Review of Trends, Opportunities, and Challenges." Journal of Science Education Research 9, no. 1 (2025): 32–42. https://doi.org/10.21831/jser.v9i1.72954.
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The study aimed to present the trends, opportunities, and challenges of using multiple representation in physics learning from Junior High School to Higher Education. Through the Content Analysis method, this study analyzed 45 journals that examined of using multiple representation in physics learning obtained using Publish or Perish with Google Scholar and Scopus databases from 2019-2023. The results showed that the number of publications of using multiple representation has increased. The most widely used research type was quantitative. High school students and materials (waves and motion) were the target research subjects and popular materials. Learning physics using multiple representations has the opportunity to facilitate students' concept understanding, problem solving ability, and representation ability. The challenges faced in its use are teachers' difficulties in organizing representations in a structured and coherent manner, as well as students' difficulties in representing physics concepts in graphics and equations. In relation to these findings, it is suggested that future researchers adopt qualitative research and increase the diversity of physics subjects and topics. Also, the abilities measured, such as students' thinking and cognitive explore multiple representation in physics learning. Future research could explore the potential of digital technology and qualitative approaches to use multiple representation to enrich the quality of physics education.
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Ilmiyatni, Fatynia, Marina Setyarini, and Dewi Lengkana. "The Potential of Android Learning Media Based on Visual Representation to Improve Students' Representation and Systems Thinking Skills: A Review From a Student Teacher's Perspective." International Journal of Education, Culture, and Society 3, no. 3 (2025): 618–35. https://doi.org/10.58578/ijecs.v3i3.6123.
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Despite growing recognition of the importance of representation and systems thinking skills in science education, limited research has explored the use of Android-based learning media grounded in visual representations to support these competencies. This study aims to characterize Android learning media designed with visual representations and examine perceptions of its effectiveness in enhancing students’ representational and systems thinking skills. Employing an explanatory sequential mixed-methods design, the research involved 44 science teachers and 244 junior high school students across Lampung Province, Indonesia. Quantitative data were collected through structured questionnaires, followed by qualitative interviews to elaborate on the initial findings. Data analysis employed appropriate statistical and thematic techniques. The results indicate that both teachers and students hold favorable perceptions of visual representation-based Android learning media, recognizing its potential to support student understanding and cognitive development in science. The study concludes that such media are perceived as effective tools for improving students' abilities in scientific representation and systems thinking. Theoretically, the study contributes to the growing body of literature on educational technology and visual learning tools in science education. Practically, it encourages educators and curriculum developers to integrate these tools to address gaps in students' representational competence and implicit system thinking. Future research is recommended to examine the long-term impacts and effective integration strategies of visual representation-based digital media in diverse learning environments.
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Fan, Yifeng, Tingran Gao, and Zhizhen Zhao. "Representation theoretic patterns in multi-frequency class averaging for three-dimensional cryo-electron microscopy." Information and Inference: A Journal of the IMA 10, no. 3 (2021): 723–71. http://dx.doi.org/10.1093/imaiai/iaab012.
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Abstract We develop in this paper a novel intrinsic classification algorithm—multi-frequency class averaging (MFCA)—for classifying noisy projection images obtained from three-dimensional cryo-electron microscopy by the similarity among their viewing directions. This new algorithm leverages multiple irreducible representations of the unitary group to introduce additional redundancy into the representation of the optimal in-plane rotational alignment, extending and outperforming the existing class averaging algorithm that uses only a single representation. The formal algebraic model and representation theoretic patterns of the proposed MFCA algorithm extend the framework of Hadani and Singer to arbitrary irreducible representations of the unitary group. We conceptually establish the consistency and stability of MFCA by inspecting the spectral properties of a generalized local parallel transport operator through the lens of Wigner $D$-matrices. We demonstrate the efficacy of the proposed algorithm with numerical experiments.
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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 (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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Susanti, Susanti, Zainal Abidin, and Rina Mauliza. "ANALISIS KEMAMPUAN REPRESENTASI MATEMATIS SISWA MELALUI PENERAPAN STRATEGI SCAFFOLDING." Jurnal Ilmiah Pendidikan Matematika Al Qalasadi 5, no. 1 (2021): 99–116. http://dx.doi.org/10.32505/qalasadi.v5i1.2912.
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This descriptive qualitative research aims to describe the mathematical representation abilities of students through the application of the scaffolding strategy. The subjects of this study were 2 students with low representation abilities and 2 students with moderate representation abilities in class VIII-4 of SMP Negeri 6 Banda Aceh. The data was collected by means of a mathematical representation ability test sheet, interviews, and a recording device. Then data analysis by reducing data, presenting data, triangulating time, and drawing conclusions. The results showed that subjects with low representation skills tended to perform visual representations, but after scaffolding they were able to use visual representations independently and verbal representations by checking several times. Meanwhile, subjects with moderate representation ability tend to perform visual and verbal representations with multiple checks and symbolic representations with several interventions, after scaffolding they are able to use visual and verbal representations independently, even though symbolic representations still require several interventions. This shows that the students' representation ability gets better after being given a scaffolding strategy.
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van Bergeijk, Peter A. G., Mina Yakop, and Henri L. F. de Groot. "The Economic Effectiveness of Diplomatic Representation: An Economic Analysis of its Contribution to Bilateral Trade." Hague Journal of Diplomacy 6, no. 1-2 (2011): 101–20. http://dx.doi.org/10.1163/187119111x566751.
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AbstractThis article empirically investigates the contribution of different forms of diplomatic representation to the bilateral trade flows (both exports and imports) of a group of 63 countries. The authors report on the construction of a data set that covers 10,524 diplomatic representations. They use these representations as one of the explanatory variables in an applied trade model (the gravity model) for 3,730 bilateral trade flows in order to measure to what extent these representations are economically effective, in the sense that they are associated with larger trade flows. The authors distinguish different forms of international representation in the field of economic diplomacy (such as honorary and career consulates, embassies and embassy branches, and trade and other offices) and find positive and highly significant effects for embassies but mixed results for the other forms of representation. Finally, the authors provide a comparative perspective on the effectiveness of the 63 countries’ foreign services and classify the countries according to the average performance of their network of foreign representations.
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Allahverdiev, Bilender P., and Huseyin Tuna. "Properties of the resolvent of singular q-Dirac operators." Electronic Journal of Differential Equations 2020, no. 01-132 (2020): 03. http://dx.doi.org/10.58997/ejde.2020.03.
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In this article, we investigate the resolvent operator of a singular q-Dirac system. We obtain an integral representations for the resolvent of this system, in terms of the spectral function. Furthermore, we give a formula for the Titchmarsh-Weyl function of q-Dirac system using the integral representation of the resolvent. For more information see: https://ejde.math.txstate.edu/Volumes/2020/03/abstr.html
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Boccia, Maddalena, Valentina Sulpizio, Federica Bencivenga, Cecilia Guariglia, and Gaspare Galati. "Neural representations underlying mental imagery as unveiled by representation similarity analysis." Brain Structure and Function 226, no. 5 (2021): 1511–31. http://dx.doi.org/10.1007/s00429-021-02266-z.
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AbstractIt is commonly acknowledged that visual imagery and perception rely on the same content-dependent brain areas in the high-level visual cortex (HVC). However, the way in which our brain processes and organizes previous acquired knowledge to allow the generation of mental images is still a matter of debate. Here, we performed a representation similarity analysis of three previous fMRI experiments conducted in our laboratory to characterize the neural representation underlying imagery and perception of objects, buildings and faces and to disclose possible dissimilarities in the neural structure of such representations. To this aim, we built representational dissimilarity matrices (RDMs) by computing multivariate distances between the activity patterns associated with each pair of stimuli in the content-dependent areas of the HVC and HC. We found that spatial information is widely coded in the HVC during perception (i.e. RSC, PPA and OPA) and imagery (OPA and PPA). Also, visual information seems to be coded in both preferred and non-preferred regions of the HVC, supporting a distributed view of encoding. Overall, the present results shed light upon the spatial coding of imagined and perceived exemplars in the HVC.
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Strout, Michelle Mills, John Mellor-Crummey, and Paul Hovland. "Representation-independent program analysis." ACM SIGSOFT Software Engineering Notes 31, no. 1 (2006): 67–74. http://dx.doi.org/10.1145/1108768.1108810.
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Fatmawati, Any, and Husnul Jannah. "Penguasaan Konsep Mahasiswa pada Materi Fotosintesis : Korelasinya dengan Kemampuan Representasi pada Vertical Translations across Level." Bioscientist : Jurnal Ilmiah Biologi 10, no. 1 (2022): 193. http://dx.doi.org/10.33394/bioscientist.v10i1.4967.
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Mastery of concepts and representational skills are competencies needed by students in the 21st century. One indicator of a person having representational abilities is being able to interpret scientific phenomena vertically (Vertical Translations across Level (VTL). The aims of this study are to: 1) describe student representation ability on photosynthetic material; and 2) knowing the correlation between students' conceptual mastery and their representational ability in interpreting scientific phenomena, especially photosynthetic material. The research method is correlational analysis between concept mastery and representation ability. The research subjects were 37 students who had taken Plant Physiology courses at the Biology Education Study Program, FSTT, Mandalika Education University in the even semester of the 2018/2019 academic year. Data were collected using a validated essay test. Data analysis used regression test at a significance level of 5%. The results showed that: 1) students were able to explain the process of photosynthesis using representations, and 2) there was a correlation between concept mastery and students' representational abilities in interpreting scientific phenomena vertically (VTL) on photosynthetic material. is 60.8%.
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olde Scheper, Tjeerd V. "Criticality Analysis: Bio-Inspired Nonlinear Data Representation." Entropy 25, no. 12 (2023): 1660. http://dx.doi.org/10.3390/e25121660.
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The representation of arbitrary data in a biological system is one of the most elusive elements of biological information processing. The often logarithmic nature of information in amplitude and frequency presented to biosystems prevents simple encapsulation of the information contained in the input. Criticality Analysis (CA) is a bio-inspired method of information representation within a controlled Self-Organised Critical system that allows scale-free representation. This is based on the concept of a reservoir of dynamic behaviour in which self-similar data will create dynamic nonlinear representations. This unique projection of data preserves the similarity of data within a multidimensional neighbourhood. The input can be reduced dimensionally to a projection output that retains the features of the overall data, yet has a much simpler dynamic response. The method depends only on the Rate Control of Chaos applied to the underlying controlled models, which allows the encoding of arbitrary data and promises optimal encoding of data given biologically relevant networks of oscillators. The CA method allows for a biologically relevant encoding mechanism of arbitrary input to biosystems, creating a suitable model for information processing in varying complexity of organisms and scale-free data representation for machine learning.
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Xu, Xiao-Ming, and Yile Zhao. "J-Self-Adjoint Projections in Krein Spaces." Journal of Function Spaces 2020 (March 16, 2020): 1–7. http://dx.doi.org/10.1155/2020/6725969.
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Let ℋ be a Krein space with fundamental symmetry J. Starting with a canonical block-operator matrix representation of J, we study the regular subspaces of ℋ. We also present block-operator matrix representations of the J-self-adjoint projections for the regular subspaces of ℋ, as well as for the regular complements of the isotropic part in a pseudo-regular subspace of ℋ.
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Kozma, Gady, and Alexander Olevskiî. "Menshov representation spectra." Journal d'Analyse Mathématique 84, no. 1 (2001): 361–93. http://dx.doi.org/10.1007/bf02788115.
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Cezikturk, Özlem. "A Specific Kind of Representation: How Systematics May Ease Cognitive Overload." Jurnal VARIDIKA 1, no. 1 (2022): 1–13. http://dx.doi.org/10.23917/varidika.v1i1.17556.
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Multiple representations are beneficial for meaningful understanding. However, three or more representations may add to the cognitive overload of students, if not in interactive diagrams and dynamic geometry. How a well-known representation consisting of more than 3 or more representational registers may overcome the problem of cognitive overload without being too complicated. In this study, an old but well-structured representation that was used even over 40 years was analyzed. The critical points of a function, asymptotes, x / y-intercepts, inflection points, and graphing can be identified easily. It is prepared in the form of a table and the factors of the first derivative of the function and the second derivative and their roots indicate the function’s increasing and decreasing intervals and its graph. This representation is very systematic and it acts like a method to draw the function’s graph with no-fault possible. Yet, besides being used for many years, is still used for courses like Calculus, etc. We argue that cognitive overload theory cannot alter this representation due to its systematic nature. In content analysis, some examples of this representation are shared via the reader, and some qualitative aspects about it are analyzed. Finally, its systematicity, well-structured nature, and nature in reducing extraneous cognitive load are emphasized. The important thing here is that it is very strategic not to lose some representations for the sake of new ones if their value is already known but not discussed too much.
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Novianti, Novianti, and Noval Andriani. "ANALYSIS OF MATHEMATIC REPRESENTATION ABILITY IN CLASS V PRIMARY SCHOOL KPK MATERIAL." Jurnal Kajian Pendidikan dan Psikologi 1, no. 2 (2023): 153–59. http://dx.doi.org/10.61397/jkpp.v1i2.132.
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Representation in mathematics is the expression of ideas through models for solving problems in mathematics. These models can consist of words, pictures, diagrams, and shape representations that others can use to finish problems in mathematics. However, it's very unfortunate that representation mathematics is very little understood by most student-based schools. In the KPK material, in the form question story, students involve various form representation mathematics in the finish question. The purpose of this study is to analyze the ability representation mathematics possessed by students in class V/D UPTD SD Negeri 3 Pilot Corruption of KPK material. The method used is qualitative with a shorthand description. Instruments used form a question, essay, or test. The study's findings indicate that students are underrepresented. This will be marked by a completion search for KPK in the tree factors and still not enough ability in verbal representation.
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Foias, C., C. Guillopé, and R. Témam. "Lagrangian representation of a flow." Journal of Differential Equations 57, no. 3 (1985): 440–49. http://dx.doi.org/10.1016/0022-0396(85)90065-8.
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Lienau, Christoph. "Analytic representation theory of (R,+)." Journal of Functional Analysis 257, no. 10 (2009): 3293–308. http://dx.doi.org/10.1016/j.jfa.2009.06.019.
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Ren, Yudong. "Solving Integral Representations Problems for the Stationary Schrödinger Equation." Abstract and Applied Analysis 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/715252.
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When solutions of the stationary Schrödinger equation in a half-space belong to the weighted Lebesgue classes, we give integral representations of them, which imply known representation theorems of classical harmonic functions in a half-space.
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RUBACH, JERZY. "Polish yers: Representation and analysis." Journal of Linguistics 52, no. 2 (2016): 421–66. http://dx.doi.org/10.1017/s0022226716000013.
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This article proposes a new analysis of yers in Polish and addresses the issue of how yers should be represented. Reviving the debate started by Kiparsky (1973), the article argues that diacritic use of phonological features is superior to phonological use of diacritic features. Since diacritic representation of yers misses generalizations, yers are better represented as floating melodic segments (Rubach 1986, Kenstowicz & Rubach 1987). The patterns of Yer Vocalization and Yer Deletion are derived without recourse to syllable structure constraints such as *COMPLEX-Coda. Yer Deletion applies at an earlier level than Yer Vocalization and is enforced by a distribution-based constraint. Yer Vocalization, on the other hand, is a context-free process that is driven by the need to parse segments in output representations.
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Takaoğlu, Zeynep Başkan. "High School Students’ Multiple Representation Translation Skills on One-Dimensional Motion: A Cross-Grade Study." Journal of Science Learning 7, no. 1 (2024): 47–55. https://doi.org/10.17509/jsl.v7i1.61099.
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Multiple representations are widely recognized for their significant role in concept learning. This study aimed to investigate the multiple representation translation skills of high school students at different grade levels about the concept of one-dimensional motion. 239 9th, 10th, and 11th-grade students participated in the study using a developmental research model. The data collection tool consisted of questions that required translating figures, tables, graphs, verbal explanations, and algebraic representations into other representation types in a multiple-representation translation test focusing on one-dimensional motion. Data analysis involved evaluating the translation among representations for each category and analyzing the multiple representation translation skills across different grade levels using one-way analysis of variance (ANOVA). The results revealed that students successfully translated from figure, table, and graphical representations to other forms while encountering challenges in translation from verbal and algebraic representations. Furthermore, the ANOVA results indicated a significant difference between the 9th and 11th grades, favoring the 11th grade.
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Nikitenko, P. D. "Some Problems of Designing of Social Representations." Izvestiya of Saratov University. Educational Acmeology. Developmental Psychology 3, no. 1 (9) (2010): 14–18. http://dx.doi.org/10.18500/2304-9790-2010-3-1-14-18.
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In article various approaches to studying of such socially-psychological phenomenon, as social representation are considered. The theoretical analysis of occurrence of social representations is given. The model of designing of social representations is offered and complete representation of the person.
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Krenn, Daniel, Dimbinaina Ralaivaosaona, and Stephan Wagner. "Multi-base representations of integers: Asymptotic enumeration and central limit theorems." Applicable Analysis and Discrete Mathematics 9, no. 2 (2015): 285–312. http://dx.doi.org/10.2298/aadm150917018k.
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In a multi-base representation, in contrast to the common b-ary representation, the base is replaced by products of powers of single bases. The resulting numeral system has desirable properties for fast arithmetic. It is usually redundant, meaning that each integer can have multiple different digit expansions. We provide a general asymptotic formula for the number of multi-base representations of a positive integer. Moreover, we prove central limit theorems for different statistics associated to a multi-base representation.
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Otniel, Otniel, and Elika Kurniadi. "STUDENTS' MATHEMATICAL REPRESENTATION ABILITY IN LEARNING OF MATHEMATICAL MODELING USING ANDROID-BASED LEARNING MEDIA." Jurnal Pendidikan Matematika (JUPITEK) 7, no. 2 (2025): 123–33. https://doi.org/10.30598/jupitekvol7iss2pp123-133.
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Mathematical representation ability is one of the important mathematical abilities for students to have because this ability plays an important role in students' ability to solve problems. This research is a descriptivequalitative research that aims to see students' mathematical representation skills in learning mathematical modeling using android-based learning media. The instruments used in this study were test questions in the form of mathematical modeling essay questions and interview guidelines. Students' mathematical representation ability was measured based on indicators of mathematical representation ability, namely visual representation, mathematical expression representation, and verbal representation. Based on the results of data analysis, it was concluded that the representation ability of students had a Very Good category of 63%, a Good category of 20%, and a Fair category of 17%. Students with Very Good category can do mathematical representation well as a way to help them in doing problem solving. Most of students in the Good category can make mathematical representations well, but still make a few mistakes in counting and understanding the problem. Most of students in the Fair category can make visual representations, but have not been able to do mathematical expression representations or verbal representations optimally.
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MERCAN ERDOĞAN, Sevcan, Hatice ÇETİN, and Kamil ARI. "Development of Multiple Representation Translating Measurement Tool and Examination of 9th Grade Students’ Multiple Representations Translate Skills in Algebra." Acta Didactica Napocensia 14, no. 2 (2021): 160–80. http://dx.doi.org/10.24193/adn.14.2.12.
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Abstract: In this study, it was aimed to examine 9th grade students' multiple representation translate skills in algebra learning area and the relationship between these representations translate skills. The study employs survey design. Selected through purposive sampling method, 637 ninth grade students in a socio-economically medium level province in Turkey participated to the study. Within the scope of the study, Multiple Representation Translating Measurement Tool (MRTMT) including four factors (verbal- graph- algebraic- table) was developed and data were collected through this instrument. The validity and reliability of the scale was tested with Rasch analysis and confirmatory factor analysis (CFA). Cronbach Alpha value was calculated as .88. The findings show that students’ skills of translating between representations level is low. In addition, students were most successful in expressing the situation with other representations when the table representation was given, but had difficulty in translating it to other representations when given an algebraic representation. Furthermore, it is found out that there is a significant relationship between students’ translating skills to verbal- graph- algebraic- table representations. Accordingly, it can be suggested that each representation should be used in an interrelated and holistic way in algebra teaching.