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1

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 represen
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Zahriah, Zahriah, Mujibul Rijal, and Fera Annisa. "An Analysis of Students' Ability to Solve Problems Related to Newton's Law of Gravitation from a Multirepresentational Perspective." Journal of Aceh Physics Society 14, no. 1 (2025): 23–32. https://doi.org/10.24815/jacps.v14i1.44449.

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Students' skills in solving physics problems with a correct and in-depth understanding of concepts are skills that they should have in facing life in the 21st Century. One way to identify students who can solve problems is by looking at their ability to represent physics problems in suitable formats. different things which are called multiple representations. This research aims to analyze students' abilities in solving physics problems based on multi-representational aspects, in this case, what is looked at are aspects of verbal, visual, symbolic, and mathematical representation. The data coll
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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 v
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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 Cla
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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 re
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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 repre
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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 abi
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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; A
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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.
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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
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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
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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
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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-destinati
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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
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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
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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 prob
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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 pr
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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 trad
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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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Zhao, Jian Hua, Xue Jun Li, and Peter Han Joo Chong. "Video Compression Using Hybrid Neural Representation with High-Frequency Spectrum Analysis." Electronics 14, no. 13 (2025): 2574. https://doi.org/10.3390/electronics14132574.

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Recent advancements in implicit neural representations have shown substantial promise in various domains, particularly in video compression and reconstruction, due to their rapid decoding speed and high adaptability. Building upon the state-of-the-art Neural Representations for Videos, the Expedite Neural Representation for Videos and Hybrid Neural Representation for Videos primarily enhance performance by optimizing and expanding the embedded input of the Neural Representations for Videos network. However, the core module in Neural Representations for Videos network, responsible for video rec
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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
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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 to
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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 FQA
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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
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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. Th
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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 abil
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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) w
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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 L
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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 represe
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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
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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 r
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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
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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 str
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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
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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 repre
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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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41

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 e
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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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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 c
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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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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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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
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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 applie
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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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