Journal articles on the topic 'Mathematical visualisation'
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Presmeg, Norma C. "Visualisation and mathematical giftedness." Educational Studies in Mathematics 17, no. 3 (August 1986): 297–311. http://dx.doi.org/10.1007/bf00305075.
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Segerman, Henry. "3D Printing for Mathematical Visualisation." Mathematical Intelligencer 34, no. 4 (September 26, 2012): 56–62. http://dx.doi.org/10.1007/s00283-012-9319-7.
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Babich, A., D. Senk, H. W. Gudenau, K. Mavrommatis, O. Spaniol, Y. Babich, and A. Formoso. "Visualisation of a mathematical model of blast furnace operation for distance learning purposes." Revista de Metalurgia 41, Extra (December 17, 2005): 289–93. http://dx.doi.org/10.3989/revmetalm.2005.v41.iextra.1042.
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Putra, Zetra Hainul, If Only Dia Panjaitan, Nur Aini Putri, Tengku Ririn Wulandari, Neni Hermita, and Dahnilsyah. "Design and Implementation of GeoGebra Learning Activities of Area and Perimeter of Rectangles for Primary School Students." Journal of Physics: Conference Series 2049, no. 1 (October 1, 2021): 012032. http://dx.doi.org/10.1088/1742-6596/2049/1/012032.
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Abstract GeoGebra-based mathematics learning is an approach to teach mathematics that can support students to think mathematically. Learning using GeoGebra provides students with a new hands-on experience in learning mathematics as they can understand the mathematical concepts both from visualisation and representation. This study exploits the method by designing GeoGebra-based mathematics learning on the area and perimeter of rectangles. This study aims to provide a varied and exciting learning experience, support students in thinking mathematically and give a chance to students to solve mathematical problems correctly and fluently. The design of learning activities for the area and perimeter of rectangles with GeoGebra was tested with 4 elementary school students. The results indicate that students begin to understand the area and perimeter of a rectangle logically, although some are still doubts when answering the questions given.
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Nowinski, Wieslaw L. "Computational and mathematical methods in brain atlasing." Neuroradiology Journal 30, no. 6 (November 3, 2017): 520–34. http://dx.doi.org/10.1177/1971400917740362.
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Brain atlases have a wide range of use from education to research to clinical applications. Mathematical methods as well as computational methods and tools play a major role in the process of brain atlas building and developing atlas-based applications. Computational methods and tools cover three areas: dedicated editors for brain model creation, brain navigators supporting multiple platforms, and atlas-assisted specific applications. Mathematical methods in atlas building and developing atlas-aided applications deal with problems in image segmentation, geometric body modelling, physical modelling, atlas-to-scan registration, visualisation, interaction and virtual reality. Here I overview computational and mathematical methods in atlas building and developing atlas-assisted applications, and share my contribution to and experience in this field.
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Rabi, Fazli, Ma Fengqi, and Muhammad Aziz. "The Impact of the Use of Microsoft Mathematics Calculus Visualization on Student's Attitude." American Journal of Creative Education 5, no. 2 (December 13, 2022): 52–66. http://dx.doi.org/10.55284/ajce.v5i2.803.
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The application of mathematical concepts to real-world problems causes students to have difficulty with the concepts. On undergraduate students, a quasi-experimental research study and visualisation of calculus concepts were conducted as part of a larger project. They were discovered to have a preference for mathematics. As a result, students gained a better understanding of concepts and a more positive attitude. In our class, we had two groups of students who were both from the computer science department and who had both taken the same calculus course. Each group, consisting of fifteen students, was divided into two groups: the control group and the experimental group. Using a traditional learning method, the students in the control group were taught topics such as differentiation and integration, among others. The experiment group, on the other hand, had taught the same lesson using a Microsoft Mathematics visualisation tool, instead. The findings revealed that using Microsoft Mathematics visualisation, the students gained a more significant, positive, broader, and conceptual understanding of calculus than they would have otherwise. In addition, the quasi-experimental study found that there was a statistically significant difference in students' attitudes between the pre-test and the post-test. With the help of Microsoft Mathematics visualisation, students were more fascinated and attracted towards calculus concepts than before.
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WORRALL, DAVID. "Studies in metamusical methods for sound and image composition." Organised Sound 1, no. 3 (December 1996): 183–94. http://dx.doi.org/10.1017/s135577189600026x.
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A course in Design Structures is discussed. In this course students learn a multi-faceted approach to exploring mathematical and iterative ideas using sonification and visualisation techniques for their own compositional explorations. These ideas are discussed in relation to philosophy, history, technology, scientific paradigms, and cultural context. Some resulting student work is demonstrated.
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Sekovanov, Valeriy S., Vladimir A. Ivkov, Larisa B. Rybina, and Yuliya A. Sobashko. "Performing a mathematical and informational task “Research of the dynamics of rational functions of a complex variable as a means of developing students' creativity”." Vestnik of Kostroma State University. Series: Pedagogy. Psychology. Sociokinetics 26, no. 4 (February 24, 2021): 187–95. http://dx.doi.org/10.34216/2073-1426-2020-26-4-187-195.
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Multi-stage math and information tasks for students are a kind of creative laboratory in which they show their abilities not only as mathematicians, but also as programmers and artists. Stepwise research on the dynamics of functions of complex variables and their visualisation contribute to the development of students' creativity and the formation of skills in the field of mathematical analysis and programming. This article deals with a multi-stage mathematical and informational task, which is a specially composed sequence of tasks, exercises, problems and didactic situations.
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KRONLAND-MARTINET, R., J. MORLET, and A. GROSSMANN. "ANALYSIS OF SOUND PATTERNS THROUGH WAVELET TRANSFORMS." International Journal of Pattern Recognition and Artificial Intelligence 01, no. 02 (August 1987): 273–302. http://dx.doi.org/10.1142/s0218001487000205.
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This paper starts with a brief discussion of so-called wavelet transforms, i.e., decompositions of arbitrary signals into localized contributions labelled by a scale parameter. The main features of the method are first illustrated through simple mathematical examples. Then we present the first applications of the method to the recognition and visualisation of characteristic features of speech and of musical sounds.
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Franke, L., and F. Pinsler. "Untersuchungen von Salztransportprozessen und deren Visualisierung mit Hilfe der Röntgenanalytik / Examination of salt transport processes and their visualisation using X-ray analysis." Restoration of Buildings and Monuments 4, no. 3 (June 1, 1998): 187–208. http://dx.doi.org/10.1515/rbm-1998-5270.
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Abstract With the help of X-ray for visualisation of salt transport in porous building materials it is now for the first time possible to check both, the description of salt transport processes as well as the mathematical transport models used. The tests were carried out with sandstone, however the results are transferable to other building materials having a comparable pore system.
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Rosli, Siddiqah, Masitah Shahrill, and Jamilah Yusof. "Applying the hybrid strategy in solving mathematical word problems at the elementary school level." Journal of Technology and Science Education 10, no. 2 (July 31, 2020): 216. http://dx.doi.org/10.3926/jotse.965.
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The study was designed to assess the effectiveness of an alternative teaching approach strategy called the Hybrid Strategy. It was intended specifically in minimising the common errors made by students, which were Comprehension and Transformation errors, and aimed at helping students to perceive word problems as a story line to be completed using the Hybrid Strategy. This strategy is a step-by-step guidance to improve students’ visualisations and perceptions of mathematical word problems. The strategy incorporates the use of pictorial representations for students’ visualisation and interrogative words (who, what, where, when and how) using the mnemonic Mr. How and his 4 Warriors to prompt students’ understanding when solving 1-step and 2-step word problems. The study involved 39 Year 5 students from a local government school in the Brunei-Muara district of Brunei Darussalam. The four research instruments were used in collecting the data: diagnostic pre-test, diagnostic post-test, Newman’s Error Analysis interviews and general observations during intervention lessons. Analyses from students’ written test responses revealed that the students committed all five types of Newman error and the most common type of errors occurred in this study are Comprehension errors. Further analyses showed that the use of the Hybrid Strategy in minimising Comprehension and Transformation errors was successful. However, there was only a slight improvement of students’ scores in their post-test, contributing to only a minor extent of the effectiveness of the Hybrid Strategy used in this study. Additionally, slight positive shifts of students’ perceptions were observed towards solving mathematical word problems.
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Norlin, B., S. An, T. Granfeldt, D. Krapohl, B. Lai, H. Rahman, F. Zeeshan, and P. Engstrand. "Visualisation of sulphur on single fibre level for pulping industry." Journal of Instrumentation 18, no. 01 (January 1, 2023): C01012. http://dx.doi.org/10.1088/1748-0221/18/01/c01012.
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Abstract In the pulp and paper industry, about 5 Mt/y chemithermomechanical pulp (CTMP) are produced globally from softwood chips for production of carton board grades. For tailor making CTMP for this purpose, wood chips are impregnated with aqueous sodium sulphite for sulphonation of the wood lignin. When lignin is sulphonated, the defibration of wood into pulp becomes more selective, resulting in enhanced pulp properties. On a microscopic fibre scale, however, one could strongly assume that the sulphonation of the wood structure is very uneven due to its macroscale size of wood chips. If this is the case and the sulphonation could be done significantly more evenly, the CTMP process could be more efficient and produce pulp even better suited for carton boards. Therefore, the present study aimed to develop a technique based on X-ray fluorescence microscopy imaging (µXRF) for quantifying the sulphur distribution on CTMP wood fibres. Firstly, the feasibility of µXRF imaging for sulphur homogeneity measurements in wood fibres needs investigation. Therefore, clarification of which spatial and spectral resolution that allows visualization of sulphur impregnation into single wood fibres is needed. Measurements of single fibre imaging were carried out at the Argonne National Laboratory’s Advanced Photon Source (APS) synchrotron facility. With a synchrotron beam using one micrometre scanning step, images of elemental mapping are acquired from CTMP samples diluted with non-sulphonated pulp under specified conditions. Since the measurements show significant differences between sulphonated and non-sulphonated fibres, and a significant peak concentration in the shell of the sulphonated fibres, the proposed technique is found to be feasible. The required spatial resolution of the µXRF imaging for an on-site CTMP sulphur homogeneity measurement setup is about 15 µm, and the homogeneity measured along the fibre shells is suggested to be used as the CTMP sulphonation measurement parameter.
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MCDONNELL, CIARAN, HUGH MCATAMNEY, CATHAL KEEGAN, and CATHERINE MCMAHON. "ASPECTS OF VIRTUAL REALITY AND VISUALISATION." International Journal of Modern Physics C 12, no. 04 (May 2001): 581–87. http://dx.doi.org/10.1142/s0129183101002590.
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Hrechka, Anastasia, Olena Pavlyk, and Liudmyla Lysohor. "Formation of the reading comprehension skill in primary school students by visualization." SHS Web of Conferences 142 (2022): 02004. http://dx.doi.org/10.1051/shsconf/202214202004.
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This article describe the problem of shaping scrupulous reading comprehension in primary school students through visualisation tools and identifies its key factors. The scientific psychological and pedagogical and methodological literature, the current legal framework of primary education in Ukraine, educational experience of the research problems of foreign and domestic teachers, the results of the PISA research were analyzed. Foreign theories of interpretation of the term “reading comprehension” are reviewed and our own understanding of the essence of the concept is suggested on their basis. Presents its own classification of modern visualisation tools. It describes the author’s organizational and methodological model of shaping reading comprehension by visualization means, as well as the work done by the author on shaping of scrupulous reading comprehension by visualization means among primary school students. The research involved a set of theoretical (analysis of scientific literature, legal framework, synthesis, generalisation, systematization) and empirical methods (expert assessment, modelling; questionnaires, interviews, monitoring of the educational process, method of mathematical statistics).
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Rybachuk, Yurii, and Andrzej Jodłowski. "Computer simulation of the aggregates formation during flocculation process." E3S Web of Conferences 44 (2018): 00154. http://dx.doi.org/10.1051/e3sconf/20184400154.
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The main goal of this paper is to analyse physical and chemical aspects affecting the structure and strength of flocs, which are created during coagulation and flocculation of water impurities, from the point of view of process computer simulation. Proposed mathematical dependencies were used for computer modelling of the process as well as visualisation of the obtained results. The results of algorithms operation and visualization were shown as graphical representation. Laboratory studies were carried out to check the realism of the proposed algorithm.
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MAKAMURE, Chipo, and Zingiswa M. M. JOJO. "Assessment of visuo-semiotic skills for pre-service teachers in coordinate geometry." Acta Didactica Napocensia 15, no. 1 (August 31, 2022): 74–91. http://dx.doi.org/10.24193/adn.15.1.7.
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" Globally, the use of visuo-semiotic models (VSMs) in the mathematics classroom is called for across levels and topics. Literature confirms that visual cognition/literacy in teachers is limited and that their capabilities in visual representation is low. The aim of this study was therefore to explore pre-service teachers’ (PSTs) conception of VSMs as a process in doing mathematics in the context of coordinate geometry. A survey with qualitative data was used to collect data from mathematics pre-service teachers taking the geometry module. The PSTs answered open ended questions that comprised coordinate geometry test items. Mnguni’s (2014) cognitive process of visualisation was used to analyse visualisation skills portrayed in the test. The study found that different pre-service teachers operate at different levels of visual literacy. The teacher education curriculum should therefore be systematically designed to cater for the skills lacking in the PSTs. It is also recommended that teacher training programmes sharpen their attention on bringing awareness of mathematical visual literacy among PSTs during training. "
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Zakari, Ibrahim Sidi. "Linking statistical literacy and data stewardship in Public Universities of Niger: Lessons learned from the collaboration with the national statistics institute." Statistical Journal of the IAOS 36 (December 25, 2020): 63–72. http://dx.doi.org/10.3233/sji-200708.
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This paper aims at highlighting the lessons learned from recent initiatives between public universities of Niger and the national statistics institute. Our investigation of the existing national statistical system revealed the need to increase the number of qualified human resources with advanced skills in open data, big data, data visualisation, machine learning, mathematical modeling and data-driven innovations. Moreover, the existing statistical literacy and data crowdsourcing activities need to be validated and upscaled; and we have found a lack of experience in managing big data and in the development of mathematical methods and fast computational algorithms to analyze them. Finally, the aforementioned collaboration can be improved by working closely with private sector, civil society and the data science community to generate new approaches to emerging issues including climate change and sustainable development.
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Weiss, Gunter. "Visualisation - interpretation understanding: Traveling on the royal road to mathematical abstraction in old boots: Descriptive geometry." Filomat 23, no. 2 (2009): 1–11. http://dx.doi.org/10.2298/fil0902001w.
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Sketching and computer visualization are standard communication media in Technology and Natural Science as well as in Mathematics. Of any visualization we demand easy interpretability by the 'educated' viewer not only can 'read' the meaning of the figure but also gains some understanding of the visualized problem. Such a 'visual communication' needs schooling and training. Descriptive Geometry provides some simple but effective rules and techniques for such a visual communication. Using properties classical geometric mappings, e.g. normal projections or cyclography, can give insight to problems, which sometimes are rather hard to tackle purely by mathematical calculation. Sometimes we receive even an easy proof of the problem, a proof 'by looking at the figure', such that one is encouraged to speak of a 'geometric royal road' to the problem. Some special examples of such problems shall illustrate this statement. Most of the shown examples are not new, but they are not at all very well known! What should be shown is that Descriptive Geometry is much more than just an engineering graphics tool for visualizing 3D-objects. It strongly supports mathematicians, too. To emphasize that Descriptive Geometry is an intellectual tool besides for visualization the figures in this work are freehand drawn sketches instead of perhaps more beautiful computer generated drawings.
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Voegelin, Salomé. "Inhabiting a World of Numerical Things." Circuit 26, no. 3 (December 23, 2016): 27–41. http://dx.doi.org/10.7202/1038515ar.
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This essay recounts a visit to Ryoji Ikeda’s inaugural exhibition at the HeK (Haus der elektronischen Künste) in Basel, Switzerland in November 2014. It aims to bring an inhabited sensibility to works made from information processes whose code is at once their material texture and conceptual legitimacy. Through the particularity of her recounting, the author critically engages with her experience of the works as environment in relation to Ikeda’s own ideas of a mathematical sublime put into contrast with Immanuel Kant’s notion of the sublime; and consider the mathematical purity Ikeda’s work pursues in relation to Quentin Meillassoux’s notion of a mind-independent world. Most particularly, the author engages in the relationship between the visualisation of data and its sonic composition, and recognises their connection as a central tension of the work into which she places Étienne Balibar’s portmanteau term “égaliberté,” the impossible reciprocity between equality and freedom.
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Pitta-Pantazi, Demetra, and Constantinos Christou. "Spatial versus object visualisation: The case of mathematical understanding in three-dimensional arrays of cubes and nets." International Journal of Educational Research 49, no. 2-3 (January 2010): 102–14. http://dx.doi.org/10.1016/j.ijer.2010.10.001.
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Zhelev, Grigor. "Software for Graphical Investigation of Planar and Spatial Closed Kinematic Chains for Robots and Manipulators." Journal of Theoretical and Applied Mechanics 43, no. 1 (March 1, 2013): 27–38. http://dx.doi.org/10.2478/jtam-2013-0003.
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Abstract The aim of this paper is to present a developed computational program for computer graphical modelling of planar and spatial robots and manipulators closed kinematic chains. In order to demonstrate the functionality of the program two types of 5-bars and two types of 8-bars closed manipulators are used for simulation of the kinematic models. The basic mathematical calculations for visual representation of kinematic models are made, as well as calculations and visualisation of the manipulators zone of reachability frame by frame. The presented program can be used for analyzing closed kinematic chains, solving tasks from the real practice or for students training.
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Cetnar, Jerzy, Przemysław Stanisz, and Mikołaj Oettingen. "Linear Chain Method for Numerical Modelling of Burnup Systems." Energies 14, no. 6 (March 10, 2021): 1520. http://dx.doi.org/10.3390/en14061520.
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The theoretical aspects of the linear chain method for the numerical modelling of nuclear transmutation systems, and particularly regarding the transmutation trajectory analysis (TTA), are presented. The theoretical background of the TTA method, as an advanced version of the linear chain method, with the detailed description of the applied mathematical set-up and graphical visualisation of transformation chains, is shown. As the TTA method was initially developed at the AGH University of Science and Technology almost 25 years ago, several numerical implementations were introduced worldwide, yet the mathematical improvements or alternative forms of solutions and numerical algorithms were reported since then. The method was also implemented and tested by different research groups, also in confrontation with alternative approaches to the nuclear transformation problem known as the matrix method. The aim of the paper is to present the background of the developed method and its advantages, clarify misunderstandings in the method perception and suggest unexplored options in numerical algorithm implementation.
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Strzelecki, Tomasz, and Anna Uciechowska. "Numerical Model of Seepage Around Planned Water Reservoir in Kamieniec Ząbkowicki." Studia Geotechnica et Mechanica 34, no. 1 (March 1, 2012): 65–79. http://dx.doi.org/10.1515/sgem-2017-0023.
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Abstract With a view to protecting areas lying near the Nysa Kłodzka river and in order to reduce flood wave in Wrocław Waterway System, construction of a water reservoir near Kamieniec Ząbkowicki is being planned. After analysing the hydrology and hydraulics of the river Nysa Kłodzka and the function of reservoirs in Kamieniec Ząbkowicki cascade, a numerical seepage model, based on finite element method (FEM) and taking into account bedrock geology, drainage design and dam sealing, has been proposed. Boussinesq’s mathematical model was used to calculate unconfined groundwater table and vector field of seepage velocity. Building a numerical terrain model and visualisation of the water table in GIS tools enabled presenting calculation results in 3-D space.
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Zhytieniova, N. V. "Technologies of visualisation in the modern school (an example of natural sciences and mathematics)." All Ukrainian scientific-practical magazine Principal of School Liceum Gymnasium, no. 6 (2019): 16–23. http://dx.doi.org/10.37836/2309-7744-2019-6-2.
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The article discusses the methodological aspects of the modernization to the subjects of nature-mathematical cycle of pre-service teachers to the use of visualization technologies. The specificity of the implementation of classical didactic principles (visibility, science, systemacy and consistency, the connection of theory with practice, mindfulness and strength of learning) in the professional training of specialists in terms of the use of visualization technologies is considered. The specific didactic principles of preparing the future teacher for the use of visualization technologies are highlighted. The principle of innovation, which provides for training students to use the newest capabilities of visualization technologies in their future professional activities; the principle of aesthetics, which consists in teaching students to create didactic visual aids with a pedagogically effective use of color and typographic solutions, the laws of composition in accordance with the psycho-physiological characteristics of the child for the effective assimilation of educational material and its most attractive perception; The principle of orientation to cloud services, due to the rapid development of hardware and software, which is based on teaching students to create digital didactic visual materials using modern online tools.
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Panero, Monica, Ferdinando Arzarello, and Cristina Sabena. "The Mathematical Work with the Derivative of a Function: Teachers’ Practices with the Idea of “Generic”." Bolema: Boletim de Educação Matemática 30, no. 54 (April 2016): 265–86. http://dx.doi.org/10.1590/1980-4415v30n54a13.
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Abstract This paper investigates the introduction of the derivative notion and, specifically, the introduction of the derivative function, as a significant moment in the development of mathematical work on functions. In particular, we analyse the process of genericization that two Italian teachers conducted with their grade 13 students, in order to make them shift from the derivative at a specific point x0to the derivative as a global function in the x variable. Specifically, we analyse the role of the teacher in the semiotic genesis of this process and investigate the role of semiotic resources therein. As a result, we highlight the importance of conducting carefully this shift from the pointwise x0 sign to the global x sign, in order to gain an actual shift in the perceived properties of the derivative function, which depends on the x sign as a variable. In conclusion, we connect our findings to the model of the Mathematical Working Space of functions, with particular regard to the “visualisation” process and the semiotic axis.
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Weiss, Gunter. "GEOMETRY. WHAT ELSE !? - MORE OF “ENVIRONMENTAL GEOMETRY”." Boletim da Aproged, no. 34 (December 2018): 9–20. http://dx.doi.org/10.24840/2184-4933_2018-0034_0001.
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This paper is an addendum to a previous article [01] in which several examples demonstrate that “all natural or artificial objects have a shape or form resulting from a natural (bio-physical) or technical (design) process, and therefore have an intrinsic (immanent) geometric constituent”, focusing on the fact that “reality reveals geometry and geometry creates reality”. Since many objects are metaphors for geometric and mathematical content and the starting point for mathematical abstraction, one can conclude that geometry is simply everywhere. This sort of “Appendix” focuses on the symbiotic terms “grasping via senses” and “meaning” in connection with geometry and its visualisation and interpretation, from objects found in our usual environment. A real object that we see or recognize may even gain spiritual meaning, because it is extraordinary and rare and has, therefore, besides its somehow practical purpose, a symbolic one. Here, simplicity, symmetry, smoothness and regularity play an essential role beyond simple aesthetics. In our mainly secular culture, the aesthetic point of view stands in the foreground. KEYWORDS: elementary geometry, intuitive geometry, right angle, cross and square, proofs without words.
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Ginters, Egils, Artis Aizstrauts, Dace Aizstrauta, Ieva Lauberte, Miquel Angel, Piera Eroles, Roman Buil, Peter Sonntagbauer, and Susanne Sonntagbauer. "FP7 FUPOL PROJECT – INNOVATION IN POLICY SCIENCE." CBU International Conference Proceedings 1 (June 30, 2013): 231–37. http://dx.doi.org/10.12955/cbup.v1.39.
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Mathematically justified planning of policy is extremely important because any wrong decision can lead to serious consequences. It is no secret that mathematical modelling and other advanced analytical methods are rarely used for policy planning and decision impact forecasting because those require specific knowledge. The FP7 FUPOL project aims at a completely new approach to traditional policy analysis providing direct access for policy decision makers to domain uses cases modelling and verification on FUPOL Simulator and visualisation of the results in the form suitable for beneficiaries. Policy domain uses cases models are versatile, therefore architecture of the simulator must fit to the requirements of complexity and usability that determines involving heterogeneous agent-based and system dynamics simulation technologies and distributed simulation. The article deals with FUPOL approach in policy modelling and simulation, simulator designing, and sustainability assessment of provided technology. The FUPOL approach promotes simultaneously running of heterogeneous use case simulation models enhancing performance of simulation session. Belonging to open source spreads potential users’ network thus reducing errors in simulation and also in policy decision making. Web services SOA based architecture enhances integration with other decision making and service tools.
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Mehdi, Muntazir, Yasar Khan, Joao Jares, Andre Freitas, Alok Kumar Jha, Antonis Sakellarios, and Ratnesh Sahay. "A Linked Data Visualiser for Finite Element Biosimulations." International Journal of Semantic Computing 10, no. 02 (June 2016): 219–45. http://dx.doi.org/10.1142/s1793351x16400080.
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Biosimulation models are used to understand the multiple or different causative factors that cause impairment in human organs. Finite Element Method (FEM) provide a mathematical framework to simulate dynamic biological systems, with applications ranging from human ear, cardiovascular, to neurovascular research. Finite Element (FE) Biosimulation experiments produce huge amounts of numerical data. Visualising and analysing this huge numerical biosimulation data is a strenuous task. In this paper, we present a Linked Data Visualiser–called SIFEM Visualiser–to help domain-experts (experts in the field of ear mechanics) and clinical practitioners (otorhinolaryngologists) to Visualise, analyse and compare biosimulation results from heterogeneous, complex, and high volume numerical data. The SIFEM visualiser builds on conceptualising different aspects of biosimulations. In addition to the visualiser, we also propose how biosimulation numerical data can be conceptualised, such that it sustains the visualisation of large numerical data. The SIFEM Visualiser aims to help domain scientists and clinical practitioners exploring and analysing Finite Element (FE) numerical data and simulation results obtained from different aspects of inner ear (Cochlear) model — such as biological, geometrical, mathematical, and physical models. We validate the SIFEM Visualiser in both dimensions of qualitative and quantitative evaluation.
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Žakelj, Amalija, and Andreja Klančar*. "The Role of Visual Representations in Geometry Learning." European Journal of Educational Research 11, no. 3 (July 15, 2022): 1393–411. http://dx.doi.org/10.12973/eu-jer.11.3.1393.
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<p style="text-align: justify;">Visual representations and the process of visualisation have an important role in geometry learning. The optimal use of visual representations in complex multimedia environments has been an important research topic since the end of the last century. For the purpose of the study presented in this paper, we designed a model of learning geometry with the use of digital learning resources like dynamic geometry programmes and applets, which foster visualisation. Students explore geometric concepts through the manipulation of interactive virtual representations. This study aims to explore whether learning of geometry with digital resources is reflected in higher student achievements in solving geometric problems. This study also aims to explore the role of graphical representations (GRs) in solving geometric problems. The results of the survey show a positive impact of the model of teaching on student achievement. In the post-test, students in the experimental group (EG) performed significantly better than students in the control group (CG) in the overall number of points, in solving tasks without GR, in calculating the area and the perimeter of triangles and quadrilaterals than the CG students, in all cases with small size effect. The authors therefore argue for the use of digital technologies and resources in geometry learning, because interactive manipulatives support the transition between representations at the concrete, pictorial and symbolic (abstract) levels and are therefore important for understanding mathematical concepts, as well as for exploring relationships, making precise graphical representations (GRs), formulating and proving assumptions, and applying different problem-solving strategies.</p>
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Amevor, Godfred, Anass Bayaga, and Michael J. Bosse. "Analysis of Rural-Based Pre-Service Teachers Spatial-Visualisation Skills in Problem Solving in Vector Calculus Using MATLAB." International Journal of Emerging Technologies in Learning (iJET) 16, no. 10 (May 25, 2021): 125. http://dx.doi.org/10.3991/ijet.v16i10.19269.
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In science, technology, engineering and mathematics (STEM) for instance, interdisciplinary studies have noted positive correlation between spatial-visualization (SV skills) and mathematical problem solving. The majority of these studies sharing a link between SV skills and problem solving were contextualized in urban settings and only a few in rural settings. This investigation analyses how rural-based pre-service teachers apply their SV skills in problem-solving in a South African university, in the context of vector calculus. One hundred rural-based pre-service teachers in a second year vector calculus class at University of Zululand (UNIZULU) were randomly selected into control and experimental groups. MATLAB was used as a dynamic visual tool to analyse how research participants applied their SV skills. A mixed method approach was employed in data collection (quantitative and qualitative). Our findings revealed that the rural-based pre-service teachers’ SV skills correlate with their problem-solving skills in vector calculus.
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Daugulis, Pēteris, Elfrīda Krastiņa, Anita Sondore, and Vija Vagale. "VARIETY OF ARRANGEMENTS OF NUMERICAL DATA FOR A DEEPER UNDERSTANDING OF MATHEMATICS." SOCIETY. INTEGRATION. EDUCATION. Proceedings of the International Scientific Conference 1 (May 20, 2020): 107. http://dx.doi.org/10.17770/sie2020vol1.5081.
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Effective arranging of numerical data and design of associated computational algorithms are important for any area of mathematics for teaching, learning and research purposes. Usage of various algorithms for the same area makes mathematics teaching goal-oriented and diverse. Matrices and linear-algebraic ideas can be used to make algorithms visual, two dimensional (2D) and easy to use. It may contribute to the planned educational reforms by teaching school and university students deeper mathematical thinking. In this article we give novel data arranging techniques (2D and 3D) for matrix multiplication. Our 2D method differs from the standard, formal approach by using block matrices. We find this method a helpful alternative for introducing matrix multiplication. We also give a new innovative 3D visualisation technique for matrix multiplication. In this method, matrices are positioned on the faces of a rectangular cuboid. Computerized implementations of this method may be considered as student project proposals.
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Duch, W. "Visualisation of many-particle model spaces with application to the shell-model calculations." Journal of Physics A: Mathematical and General 20, no. 7 (May 11, 1987): 1633–43. http://dx.doi.org/10.1088/0305-4470/20/7/010.
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Skordialos, Emmanouil, and Georgios Baralis. "A teaching approach of geometric shapes’ properties with the use of online educational tools in Greek primary school." New Trends and Issues Proceedings on Humanities and Social Sciences 4, no. 9 (January 11, 2018): 101–9. http://dx.doi.org/10.18844/prosoc.v4i9.3044.
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A number of researchers have shown concern at the difficulties that primary school pupils cope with in learning geometry, and have tried to explain why this happens and what can be done to make the subject more understandable to young learners. Van Hiele’s theoretical model postulates five levels of geometric thinking as visualisation, analysis, abstraction, formal deduction and rigour. Each level uses its own language and symbols. Pupils pass through the levels ‘step by step’. This hierarchical order helps them to achieve better understanding and results. In this research the teacher taught geometry in the 2nd class in a primary Greek school with the use of information and communication technologies. The aim is to find out the level of geometrical thought of the pupils and how geometrical activities – based on online tools – concerning the geometrical shapes and their properties, help students improve their mathematical knowledge in the class. Keywords: Geometric thinking, online tools, shapes, geometrical activities
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Antonov, Yuri F. "The nature of voltage in superconductors with dynamic intermediate-mixed state." Transportation Systems and Technology 5, no. 1 (April 5, 2019): 54–73. http://dx.doi.org/10.17816/transsyst20195154-73.
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Aim: to describe scientific achievement providing the essence of the phenomenon; to confirm reliability of existence of DC electromagnetic induction using direct evidence.
Methods: experimental research into magnetizing superconducting samples. Visualisation of intermediate and mixed state of superconductors and movement of quantised threads of magnetic flux, the beams of such threads. Development of mathematical theory on the basis of fractal geometry and functional analysis.
Results: The essence of the scientific discovery consists in the proof that the direct consequence of the formation of an intermediate-mixed state of superconductors and the movement of quantum magnetic fluxes threads, beams of such filaments and macroscopic normal zones is the phenomenon of direct current electromagnetic induction.
Conclusion: the discovery of DC electromagnetic induction has been made, superconducting topological electrical generators on the basis of DC electromagnetic induction have been built, that achieve high nominal parameters: 10-100 kA current, specific current load - 1 kA/kg.
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Eaton, David, Seyyit Umit Dikmen, and Rıfat Akbiyikli. "Controlling the cost of risk management by utilising a phase portrait methodology." Transport 33, no. 2 (May 11, 2016): 315–21. http://dx.doi.org/10.3846/16484142.2016.1183228.
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The methodology developed in this study presents an approach to the concurrent evaluation of Risk Management (RM) effectiveness during project execution. The method proposed is an adaptation of an approach developed and advocated by Khlebopros et al. (2007) for the mathematical modelling of complex systems, namely the analysis and effects of natural catastrophes. Hence, the method utilizes a phase portrait approach to identify the Prime Cost (PC) of RM of a project. Furthermore, the method provides an approach for comparing the individual identified risks with this PC, and subsequently highlighting a way of classifying and prioritising risks into a rank order for RM attention. The MERA (Multiple Estimating Risk Analysis) approach was utilized for the quantification of risk impact and ultimately the creation of the phase portrait. Besides being accurate and intuitively understandable, the methodology is relatively simple to implement and provides a rapid visualisation of the overall risk extent of a project.
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Kašparová, Magdaléna, Simona Halamová, Taťjana Dostálová, and Aleš Procházka. "Intra-Oral 3D Scanning for the Digital Evaluation of Dental Arch Parameters." Applied Sciences 8, no. 10 (October 7, 2018): 1838. http://dx.doi.org/10.3390/app8101838.
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Intra-oral scanning technology has brought a completely new approach to examination methods in dentistry. In comparison to traditional plaster casts, it allows more precise digital analysis of dental arch components during the treatment of dental disorders. Data acquired can also be used for the creation of three-dimensional (3D) models using 3D printers. This paper describes a data acquisition system, the mathematical processing of resulting three-dimensional model, and the statistical analysis of selected parameters of the dental arch. The study aims at comparing the results achieved from 20 models of the same individual acquired by different specialists. The proposed methodology includes mathematical rotation of objects into the optimal plane defined by the teeth tops’ location to increase the accuracy of the resulting parameters. The mean evaluated distances between canines (3-3) and premolars (5-5) are 24.29 mm and 37.98 mm, respectively, for the lower dental arch. The proposed object rotation increased these distance by 0.9% and 1.4%, respectively, reducing the rotation error. Moreover, the variability of results decreased and the mean value of the coefficient of variation was lowered by 12%. Image registration was then used to evaluate changes of dental arch parameters. This paper presents the advantages of digital models for visualisation of the dental arch allowing its flexible rotation and evaluation of its parameters.
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Chan, Cliburn, and Thomas B. Kepler. "Computational Immunology – From Bench to Virtual Reality." Annals of the Academy of Medicine, Singapore 36, no. 2 (February 15, 2007): 123–27. http://dx.doi.org/10.47102/annals-acadmedsg.v36n2p123.
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Drinking from a fire-hose is an old cliché for the experience of learning basic and clinical sciences in medical school, and the pipe has been growing fatter at an alarming rate. Of course, it does not stop when one graduates; if anything, both the researcher and clinician are flooded with even more information. Slightly embarrassingly, while modern science is very good at generating new information, our ability to weave multiple strands of data into a useful and coherent story lags quite far behind. Bioinformatics, systems biology and computational medicine have arisen in recent years to address just this challenge. This essay is an introduction to the problem of data synthesis and integration in biology and medicine, and how the relatively new art of biological simulation can provide a new kind of map for understanding physiology and pathology. The nascent field of computational immunology will be used for illustration, but similar trends are occurring broadly across all of biology and medicine. Key words: Mathematical models, Medical informatics, Scientific visualisation, Simulation, Systems biology
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Guts, Victor, Olga Koval, and Svitlana Bondar. "Mathematical and Analytical Evaluation of Paste Products Quality." Restaurant and hotel consulting. Innovations 4, no. 2 (December 28, 2021): 332–44. http://dx.doi.org/10.31866/2616-7468.4.2.2021.249101.
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Topicality. In modern conditions, the society feels a growing demand in products made from natural ingredients of high nutritional value. Such products include meat pastes, the quality of which depends on their recipe, technological processes, equipment, and modes of its operation. With the implementation of innovative technological regimes and new equipment, there is a necessity to determine and prognosticate the quality of food products at all stages of their production and sale. According to the mentioned above, as well as economic feasibility of using automated systems for technological processes management, there is a need to elaborate a new mathematical and analytical approach to assessing and prognosticating changes in the quality of meat paste with various additives. Aim and research methods. The aim of this research is to elaborate a method for modeling the material system state, based on differential equations of kinetics of biochemical processes, assessment, and prognostication of food quality. Research methods. The method of mathematical and analytical evaluation of the paste products quality is grounded on modified mathematical models, differential equations, visualisation of research results in the form of 3D graphs, obtained by using symbolic computer mathematics. The quality of new meat paste products is compared with the quality of the paste, which is assumed to be relatively optimal according to the main organoleptic parameters of sensory quality assessment and control sample. The control sample of the paste is cooked according to the classical technology, and the recipe (GSTU 4424:2005). The prototype samples are cooked according to the innovative technology, which involves adding mechanically deboned poultry meat to the main raw material. Results. New results of analytical and experimental studies of the quality of meat paste products, cooked according to the classic recipe with the use of mechanically deboned poultry meat, are offered. The method for determining the coefficients, included in the mathematical model for assessing the meat paste products quality, their analytical relation with the optimization parameter, is elaborated. The expediency of using modern methods of symbolic computer mathematics for solving and analysing differential equations, presenting results in 3D graphs, is proved. The conducted research makes it possible to prognosticate the quality of food products, to control possible changes in their recipe while using various additives, to carry out elaborating new paste products. Conclusions and discussion. Based on the results of theoretical and experimental studies, a new mathematical model for estimating the quality of meat paste products in the form of the first-order differential equation, is offered. Its analogue is the equations, recommended for modeling the processes of biochemical kinetics. It is proved that the computer programme of mathematical and analytical research and prognostication the foodstuff quality (Goots et al., 2018) is universal. The offered mathematical model makes it possible to envision the quality of meat paste products, based on organoleptic evaluation. With its help, it becomes possible to determine the vector of possible changes in product quality and its optimisation, while elaborating the 3D graph. Mathematical and analytical assessment of the new paste products quality highlights that the partial replacement of the main meat raw by mechanically deboned poultry meat, and in pastes, made according to classical technology and the GSTU recipe (4424:2005), does not really reduce the parameters of organoleptic evaluation. In some cases, they are even higher than in the control paste samples, and very close to optimal ones. This new mathematical and analytical approach to assessing the paste products quality is promising in new culinary products elaboration in the restaurant business.
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Presmeg, Norma. "Semiotics as a Tool for Learning Mathematics: How to Describe the Construction, Visualisation, and Communication of Mathematical Conceptsby Adalira Sáenz-Ludlow & Gert Kadunz (Eds.)." Mathematical Thinking and Learning 18, no. 3 (June 24, 2016): 233–38. http://dx.doi.org/10.1080/10986065.2016.1184953.
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Leach, S. A., and J. S. Lapington. "Extensive air shower tracker using Cherenkov detection." Journal of Instrumentation 17, no. 09 (September 1, 2022): C09008. http://dx.doi.org/10.1088/1748-0221/17/09/c09008.
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Abstract Cosmic rays continuously bombard Earth’s atmosphere triggering cascades of secondary particles. Many constituents progress to reach the surface and capturing these events can intrigue and awe young curious minds, opening them to the amazing world of physics. Cloud chambers are an established method of revealing the subatomic world; frequently used by universities to introduce cosmic rays to visitors and prospective students, they provide a fascinating real-time display of the ‘ghostly’ particles showering upon those viewing. Using the Cherenkov radiation detection technique, we have developed a novel, compact, Extensive Air Shower (EAS) particle tracking method that enhances the cloud chamber visualisation of cosmic ray interactions towards a digital audience. Once digital, live event interaction can be streamed to multiple display devices presenting an immediate illustration of the event that showered in that location. Our instrument hardware is built around Cherenkov-optimised silicon photomultiplier sensors. Each single detection unit monitors particle event rate and tracks incident angle by measuring Cherenkov intensity. By operating multiple detection units in one location, we can record time correlated air shower events to monitor and collate information on the primary cosmic rays. We introduce first results, illustrating instrument response and EAS rate variations, compiled from the initial running period of our development instruments. We present intensity spectra, compare with simulation, and describe the instrument response due to sensor location, Cherenkov intensity, mean muon energy and detector acceptance angle. With further development towards low-cost readout electronics, we aim to build a networked array of trackers, located around the campus, to expand data gathering ability and scientific potential.
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Hoekzema, Renee S., Lewis Marsh, Otto Sumray, Thomas M. Carroll, Xin Lu, Helen M. Byrne, and Heather A. Harrington. "Multiscale Methods for Signal Selection in Single-Cell Data." Entropy 24, no. 8 (August 13, 2022): 1116. http://dx.doi.org/10.3390/e24081116.
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Analysis of single-cell transcriptomics often relies on clustering cells and then performing differential gene expression (DGE) to identify genes that vary between these clusters. These discrete analyses successfully determine cell types and markers; however, continuous variation within and between cell types may not be detected. We propose three topologically motivated mathematical methods for unsupervised feature selection that consider discrete and continuous transcriptional patterns on an equal footing across multiple scales simultaneously. Eigenscores (eigi) rank signals or genes based on their correspondence to low-frequency intrinsic patterning in the data using the spectral decomposition of the Laplacian graph. The multiscale Laplacian score (MLS) is an unsupervised method for locating relevant scales in data and selecting the genes that are coherently expressed at these respective scales. The persistent Rayleigh quotient (PRQ) takes data equipped with a filtration, allowing the separation of genes with different roles in a bifurcation process (e.g., pseudo-time). We demonstrate the utility of these techniques by applying them to published single-cell transcriptomics data sets. The methods validate previously identified genes and detect additional biologically meaningful genes with coherent expression patterns. By studying the interaction between gene signals and the geometry of the underlying space, the three methods give multidimensional rankings of the genes and visualisation of relationships between them.
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Kalinitchev, Anatoliy I. "Сoncentration waves behaviour and the chromatographic displacement development in the sorbentsnanocomposites during the multicomponent mass transfer and visualisation of the sorption kinetics process." Сорбционные и хроматографические процессы 19, no. 5 (October 30, 2019): 512–24. http://dx.doi.org/10.17308/sorpchrom.2019.19/1166.
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There is considered the Multi-(6th)-component Mass Transfer (MMT) inside the planar matrices ofthe sorbent-NanoComposite (NC) by the computerized modelling. During the MMT kinetics in the NC planar-membrane the chromatographic Displacement Development (DD) for the propagating modes of the twoconcentration Xm(1,2)(L,T)-principal waves is modeled for the two principal m1,2-sorbate components (m=1,2)of the Multi(6)-components NC MMT combined “Diffusion, and sorption” system.The computerized modelling mentioned here is based on the mathematical solution of the MMTmulti 6-components Eqns. partial differential including as the basis the author’s bi-functional NC MMTModels. The main advantage of the NC Models considered concludes in the introduction of the two sorbatediffusing principal Pi(3.4)-components into the consideration. The similarity and the differences between themulticomponent Xn(L,T)-concentration waves propagation for the MMT processes in the modern NC matrixand in the chromatographic column are discussed.The visualization of the kinetics of the MMT процесс is realized by the creation of the Sci. computerizedAnimations: “SCA.avi” video-files which demonstrate visually (after the program start) the propagationof the multi(n)-component Xn(1-6)(L,T)-concentration waves through the NC matrixe. Here the “SCA.avianimations display the DD chromatographic effect during oral presentation with the mentioned DDdisplacementof the X2-concentration waves by the X1-waves of the 1-component (displacer).
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Alferov, V. P., A. V. Butskikh, A. V. Krisilov, A. D. Popov, and E. A. Rogozin. "USE OF A NUMERICAL ANALYTICAL MODEL FOR ASSESSING THE FUNCTIONAL EFFECTIVENESS OF AN INFORMATION PROTECTION SYSTEM BY ANALYSING ITS PROBABILISTIC-TEMPORAL CHARACTERISTICS." Herald of Dagestan State Technical University. Technical Sciences 47, no. 1 (April 21, 2020): 58–71. http://dx.doi.org/10.21822/2073-6185-2020-47-1-58-71.
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Abstract. Aim Currently, the implementation of computational experiments to determine the probabilistic-temporal characteristics of protection functions for automated information systems is a complex and costly task. In order to study the dynamics of transitions between the states of this type of system, it is necessary to develop a mathematical model and an algorithm for computing the corresponding characteristics.Method. To achieve this goal, a mathematical model of the information security system was developed in the MATLAB software environment. The main advantages of this software environment consist in a high level of visualisation, the ability to modify models to analyse other systems of this type and the availability of integration tools with other software products.Results. The article presents a numerical and analytical model of a system for protecting information from unauthorised access. The functional dynamics of the system are described using a stochastic Petri net. In order to solve the integral equations and determine the probabilities of reaching the final state in a given time, the Laplace transform is used. The solution is carried out in an analytical mode to obtain an explicit form of the dependences of the probability-time characteristics of the system on the probabilities of transitions between states and the average times the system stays in each state. The paper presents the results of calculating the probability-time characteristics of the “Turning on the personal computer and user identification” subsystem of the “Guard NT” system for preventing unauthorised access to information.Conclusion. The developed model, which can be used to study the dynamics of transitions between states of an information protection system against unauthorised access in an automated system, as well as to optimise the time it takes to complete functional tasks, can also be used to improve the operational efficiency of these systems.
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Koch, Lukas. "Post-hoc regularisation of unfolded cross-section measurements." Journal of Instrumentation 17, no. 10 (October 1, 2022): P10021. http://dx.doi.org/10.1088/1748-0221/17/10/p10021.
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Abstract Neutrino cross-section measurements are often presented as unfolded binned distributions in “true” variables. The ill-posedness of the unfolding problem can lead to results with strong anti-correlations and fluctuations between bins, which make comparisons to theoretical models in plots difficult. To alleviate this problem, one can introduce regularisation terms in the unfolding procedure. These suppress the anti-correlations in the result, at the cost of introducing some bias towards the expected shape of the data. This paper discusses a method using simple linear algebra, which makes it is possible to regularise any result that is presented as a central value and a covariance matrix. This “post-hoc” regularisation is generally much faster than repeating the unfolding method with different regularisation terms. The method also yields a regularisation matrix which connects the regularised to the unregularised result, and can be used to retain the full statistical power of the unregularised result when publishing a nicer looking regularised result. In addition to the regularisation method, this paper also presents some thoughts on the presentation of correlated data in general. When using the proposed method, the bias of the regularisation can be understood as a data visualisation problem rather than a statistical one. The strength of the regularisation can be chosen by minimising the difference between the implicitly uncorrelated distribution shown in the plots and the actual distribution described by the unregularised central value and covariance. Aside from minimising the difference between the shown and the actual result, additional information can be provided by showing the local log-likelihood gradient of the models shown in the plots. This adds more information about where the model is “pulled” by the data than just comparing the bin values to the data's central values.
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Takai, Asuka. "Providing patients with optimal support using rehabilitation robots." Impact 2022, no. 1 (February 4, 2022): 42–44. http://dx.doi.org/10.21820/23987073.2022.1.42.
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Physical impairments can have a significant impact on quality of life and, depending on the patient's condition, may require consistent care and rehabilitation. Assistant Professor Asuka Takai, Graduate School of Engineering, Osaka Metropolitan University, Japan, is collaborating with Professor Tadao Kawai to develop a computer model that can aid a patient's recovery and rehabilitation. This novel research relies on the study of human movement assistive engineering and human-robot interaction and seeks to develop a technique that is capable of recognising the support needed by a patient. Engineering approaches that the team is using in its work include visualisation of technique by measurement, mathematical formulation of know-how, result prediction by simulation, and data accumulation through robot interaction. The researchers are also utilising the technique and of doctors and therapists to ensure the technology they are developing is as effective as possible. A key focus at present is on enhancing the functional recovery of patients with impaired motor functions by using robots to assist with their rehabilitation and, in addition to having an academic impact, Takai, Kawai and the team hope their work will help doctors and therapists to plan a patient's neurological and musculoskeletal rehabilitation. Ultimately, the goal is to build a system that can control a robot in order to ensure it provides optimal assistance to the patient in question.
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Comber, Sam. "Demonstrating the utility of machine learning innovations in address matching to spatial socio-economic applications." REGION 6, no. 3 (January 13, 2020): 17–37. http://dx.doi.org/10.18335/region.v6i3.276.
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The last decade has heralded an unprecedented rise in the number, frequency and availability of data sources. Yet they are often incomplete, meaning data fusion is required to enhance their quality and scope. In the context of spatial analysis, address matching is critical to enhancing household socio-economic and demographic characteristics. Matching administrative, commercial, or lifestyle data sources to items such as household surveys has the potential benefits of improving data quality, enabling spatial data visualisation, and the lowering of respondent burden in household surveys. Typically when a practitioner has high quality data, unique identifiers are used to facilitate a direct linkage between household addresses. However, real-world databases are often absent of unique identifiers to enable a one-to-one match. Moreover, irregularities between the text representations of potential matches mean extensive cleaning of the data is often required as a pre-processing step. For this reason, practitioners have traditionally relied on two linkage techniques for facilitating matches between the text representations of addresses that are broadly divided into deterministic or mathematical approaches. Deterministic matching consists of constructing hand-crafted rules that classify address matches and non-matches based on specialist domain knowledge, while mathematical approaches have increasingly adopted machine learning techniques for resolving pairs of addresses to a match. In this notebook we demonstrate methods of the latter by demonstrating the utility of machine learning approaches to the address matching work flow. To achieve this, we construct a predictive model that resolves matches between two small datasets of restaurant addresses in the US. While the problem case may seem trivial, the intention of the notebook is to demonstrate an approach that is reproducible and extensible to larger data challenges. Thus, in the present notebook, we document an end-to-end pipeline that is replicable and instructive towards assisting future address matching problem cases faced by the regional scientist.
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Harshit, H., S. K. P. Kushwaha, and K. Jain. "GEOMETRIC FEATURES INTERPRETATION OF PHOTOGRAMMETRIC POINT CLOUD FROM UNMANNED AERIAL VEHICLE." ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences X-4/W2-2022 (October 14, 2022): 83–88. http://dx.doi.org/10.5194/isprs-annals-x-4-w2-2022-83-2022.
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Abstract. Recent days point clouds have become one of the most common 3D sources of information which is provides accurate geometry features of the object. 3D point clouds can be derived from either photogrammetry, Lidar or SAR in some cases depending upon the application. These point clouds consisting of 3D geospatial location of an object in form of XYZ coordinates which can be used in various ways to deduct information related to that object either based on visualisation or geometrical interpretation. Quality assessment standards for these point clouds are still very much in nascent stage with optimum accuracy in relative terms only. In this paper, multiple scale of point cloud has been used to understand the level of information these clouds consist on these multiple scales. Based on the 3D spatial information of these point cloud in local neighbourhood, some of invariant geometric properties can be computed for each 3D point with respective covariance matrix. These can be used to describe the local 3D structure using eigenvalues for these matrices. Using these Geometric features an approach is developed to understand the point cloud quality assessment. The proposed methodology exploits these special geometric properties to evaluate the 3D scene structure. Further, the point cloud is classified using shape detection algorithm which evaluates the geometric features to detect the mathematical shapes in the point cloud. This paper also enlightens on different geometric features that can be extracted from a point cloud and the importance of it.
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Medynska, Nataliia N., Nataliia M. Sovtys, Mykhailo Yu Halatiuk, Nataliia V. Symonovych, and Olena I. Shuryn. "The Analysis of Alternative Distance Learning Implementation into the System of General Professional Training of Teachers." International Journal of Higher Education 9, no. 4 (July 23, 2020): 339. http://dx.doi.org/10.5430/ijhe.v9n4p339.
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The purpose of the study was to justify and check experimentally the efficiency in the application of distance learning technologies to ensure future teachers’ readiness to pedagogical work in the process of general professional training. The quasi-experimental research was conducted while delivering the disciplines of “Pedagogics” and “Psychology” included in the cycle of general professional training. The levels of motivational, activity-oriented, and cognitive components of future teachers’ readiness to pedagogical work were measured using the determination methodology for the factors of the profession’s attractiveness developed by Yadov, the questionnaire entitled “The identifier of problematic dominant level in the process of addressing pedagogical tasks”, and the results of the final tests. To analyse the results obtained and to study objectively dynamics of changes in activity orientated, cognitive, and motivational elements, the research has used methods of mathematical data processing and a STATISTICA software for statistical analysis. The research found the efficiency of distance courses implementation with active teaching methods on the development of all components of future teachers’ readiness to pedagogical work. The author concluded that in the context of the general professional training of teachers and adaptation to the peculiarities of distance learning, the most efficient methods are the following: case-study, a problem-oriented lecture, a method of projects, portfolio, and discussion. In the view of the author, distance educational technologies, means of virtual visualisation and interactive content help broaden the didactical potential of active methods of pedagogical interaction and diversify delivery of the training material.
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Sarathy, Chaitra, Marian Breuer, Martina Kutmon, Michiel E. Adriaens, Chris T. Evelo, and Ilja C. W. Arts. "Comparison of metabolic states using genome-scale metabolic models." PLOS Computational Biology 17, no. 11 (November 8, 2021): e1009522. http://dx.doi.org/10.1371/journal.pcbi.1009522.
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Genome-scale metabolic models (GEMs) are comprehensive knowledge bases of cellular metabolism and serve as mathematical tools for studying biological phenotypes and metabolic states or conditions in various organisms and cell types. Given the sheer size and complexity of human metabolism, selecting parameters for existing analysis methods such as metabolic objective functions and model constraints is not straightforward in human GEMs. In particular, comparing several conditions in large GEMs to identify condition- or disease-specific metabolic features is challenging. In this study, we showcase a scalable, model-driven approach for an in-depth investigation and comparison of metabolic states in large GEMs which enables identifying the underlying functional differences. Using a combination of flux space sampling and network analysis, our approach enables extraction and visualisation of metabolically distinct network modules. Importantly, it does not rely on known or assumed objective functions. We apply this novel approach to extract the biochemical differences in adipocytes arising due to unlimited vs blocked uptake of branched-chain amino acids (BCAAs, considered as biomarkers in obesity) using a human adipocyte GEM (iAdipocytes1809). The biological significance of our approach is corroborated by literature reports confirming our identified metabolic processes (TCA cycle and Fatty acid metabolism) to be functionally related to BCAA metabolism. Additionally, our analysis predicts a specific altered uptake and secretion profile indicating a compensation for the unavailability of BCAAs. Taken together, our approach facilitates determining functional differences between any metabolic conditions of interest by offering a versatile platform for analysing and comparing flux spaces of large metabolic networks.
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Sivilevičius, Henrikas, and Vidmantas Vansauskas. "RESEARCH AND EVALUATION OF RUTS IN THE ASPHALT PAVEMENT ON LITHUANIAN HIGHWAYS." Journal of Civil Engineering and Management 19, no. 5 (October 29, 2013): 609–21. http://dx.doi.org/10.3846/13923730.2013.817481.
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When exposed to destructive climate and weather factors and heavy vehicle loads, the pavement wears and deflects. In recent decades, apart from cracks and potholes, the depth of ruts grows and makes an increasing share of the pavement surface. The deeper are the tracks, the poorer are traffic conditions for fast-moving cars: drivers are struggling, speed is decreasing and the number of accidents is increasing. After track depth reaches a critical and permissible limit, the road surface must be repaired or speed limit has to be reduced. The work presents a theoretical analysis of track emergence causes and factors determining their depth. With the help of Mobile Road Research Laboratory RST 28, the track depth of all Lithuanian highways has been measured every 20 metres. The obtained data have been processed using the methods of mathematical statistics. Each road has a sample average of every rut, sample standard deviation and a coefficient of individually measured variation. The paper has drawn histograms, calculated skewness, kurtosis and normal distribution and provided lognormal distribution curves of a probability density function. The visualisation and empirical skewness and kurtosis values have revealed that the depth of the rut distributes according to lognormal rather than normal distribution. The average values of the roads having a dividing strip and standard deviations from the distribution across the road have been received. The given dependence of the rut depth of a standard deviation on the averages of rut depth shows an elastic interface of these parameters (determination coefficient R2= 0.741).