Academic literature on the topic 'Mathematical Relations'

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Journal articles on the topic "Mathematical Relations"

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Hackenberg, Amy J. "Mathematical Caring Relations in Action." Journal for Research in Mathematics Education 41, no. 3 (2010): 236–73. http://dx.doi.org/10.5951/jresematheduc.41.3.0236.

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In a small-scale, 8-month teaching experiment, the author aimed to establish and maintain mathematical caring relations (MCRs) (Hackenberg, 2005c) with 4 6th-grade students. From a teacher's perspective, establishing MCRs involves holding the work of orchestrating mathematical learning for students together with an orientation to monitor and respond to energetic fluctuations that may accompany student–teacher interactions. From a student's perspective, participating in an MCR involves some openness to the teacher's interventions in the student's mathematical activity and some willingness to pu
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刘, 柄灼. "Mathematical relations of natural constants." HANS Publication PrePrints 03, no. 01 (2018): 1–16. http://dx.doi.org/10.12677/hanspreprints.2018.31005.

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Semenets, S. P., L. M. Semenets, N. M. Andriichuk, and O. M. Lutsyk. "Mathematical competence and mathematical abilities: structural relations and development methodology." Journal of Physics: Conference Series 2288, no. 1 (2022): 012023. http://dx.doi.org/10.1088/1742-6596/2288/1/012023.

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Abstract In the presented work, the concept of mathematical abilities is rational as both an essential internal characteristic of mathematical competence and an immanent attribute that prevails in its personal and psychological dimension. In view of the spatial Cartesian implementation the role and place of mathematical abilities in the three-dimensional structure of the internal manifestation of mathematical competence are substantiated. The semantic and system analysis of structural components of the studied phenomenon is made. It is established that complex correlations of four structural c
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Feijs, L. M. G., and R. C. van Ommering. "Relation partition algebra — mathematical aspects of uses and part-of relations." Science of Computer Programming 33, no. 2 (1999): 163–212. http://dx.doi.org/10.1016/s0167-6423(98)00007-0.

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Brandt, Silke, Dietrich Albert, and Cord Hockemeyer. "Surmise relations between tests—mathematical considerations." Discrete Applied Mathematics 127, no. 2 (2003): 221–39. http://dx.doi.org/10.1016/s0166-218x(02)00207-x.

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Hackenberg, Amy. "Mathematical caring relations: A challenging case." Mathematics Education Research Journal 22, no. 3 (2010): 57–83. http://dx.doi.org/10.1007/bf03219778.

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Herawati, Dewi, Rooselyna Ekawati, and Endah Budi Rahaju. "Students’ Relational Understanding in Relations and Functions Based on Self-Esteem." Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang 8, no. 2 (2024): 231. https://doi.org/10.31331/medivesveteran.v8i2.3031.

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Relational understanding has an important role in understanding mathematical concepts. With relational understanding, students are not only use the existing procedures, but also have logical reasons for the steps taken. With relational understanding, students have a stronger foundation in their understanding. When solving a mathematical problem, sometimes students are unable to remember the formula, then they can still use the concepts that they had before. This research aims to describe junior high school students' relational understanding in relations and functions based on self-esteem. This
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Medová, Janka, Kristína Ovary Bulková, and Soňa Čeretková. "Relations between Generalization, Reasoning and Combinatorial Thinking in Solving Mathematical Open-Ended Problems within Mathematical Contest." Mathematics 8, no. 12 (2020): 2257. http://dx.doi.org/10.3390/math8122257.

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Algebraic thinking, combinatorial thinking and reasoning skills are considered as playing central roles within teaching and learning in the field of mathematics, particularly in solving complex open-ended mathematical problems Specific relations between these three abilities, manifested in the solving of an open-ended ill-structured problem aimed at mathematical modeling, were investigated. We analyzed solutions received from 33 groups totaling 131 students, who solved a complex assignment within the mathematical contest Mathematics B-day 2018. Such relations were more obvious when solving a c
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Wang, Yingxu. "On the Incremental Union of Relations." International Journal of Software Science and Computational Intelligence 7, no. 1 (2015): 39–61. http://dx.doi.org/10.4018/ijssci.2015010103.

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Relations are one of the most important conceptual models and mathematical entities in logic, discrete mathematics, computer science, software science, system science, and formal semantics. However, some fundamental and indispensable operations on formal relations were overlooked in traditional studies. This paper presents an extended relation theory with a set of novel algebraic operators on relations beyond classic operations. The algebraic operators on formal relations known as the incremental union and decremental disunion are formally elaborated. The property of relational gains is mathem
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Ares, Nancy, and Dawn M. Evans. "Mathematics and Numeracy as Social and Spatial Practice." Education Research International 2014 (2014): 1–14. http://dx.doi.org/10.1155/2014/742197.

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This study of networked classroom activity proposes that a resource-rich point of view is powerful in increasing the engagement of marginalized students in mathematics classes. Our work brings attention to the values, beliefs, and power relations that infuse numeracy practices and adds attention to mathematical dimensions of social spaces. Findings show that the multiple modes available to communicate mathematically, to contribute, and the inquiry-oriented discussions invited students to draw on a variety of expressive modes to engage with complex mathematical concepts. Spatial analyses illumi
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Dissertations / Theses on the topic "Mathematical Relations"

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Milton, Kenneth G. "Students' understanding of the mathematical equality and inequality relations : a developmental approach." Thesis, Curtin University, 1999. http://hdl.handle.net/20.500.11937/1006.

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The motivation for this study was the desire to make the path to learning elementary algebra as 'generalised arithmetic' more clearly defined for both students and teachers.In the initial learning of algebra, algebraic expressions are transformed to equivalent other forms and techniques are developed for solving simple equations. Both facets require students to have a thorough understanding of arithmetic equality ' properties' if the developed procedures and techniques are to be adequately understood. The same can be claimed also with respect to arithmetic inequality and the solving of inequat
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Yu, Chaoran. "A study on relational databases through mathematical theories of relations and logic." Virtual Press, 1988. http://liblink.bsu.edu/uhtbin/catkey/539627.

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The purpose of this study is to explore that mathematics provides a convenient formalism for studying classical database management system problems. There are two main parts in this study, devoted respectively to using mathematical theory of relations and using logical theory to study database management systems. In the first part we focus on relational model and relational algebra. The second part deals with the application of mathematical logic to database management systems, where logic may be used both as a inference system and as a representation language. The features and logical mechani
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Milton, Kenneth G. "Students' understanding of the mathematical equality and inequality relations : a developmental approach." Curtin University of Technology, Science and Mathematics Education Centre, 1999. http://espace.library.curtin.edu.au:80/R/?func=dbin-jump-full&object_id=10294.

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The motivation for this study was the desire to make the path to learning elementary algebra as 'generalised arithmetic' more clearly defined for both students and teachers.In the initial learning of algebra, algebraic expressions are transformed to equivalent other forms and techniques are developed for solving simple equations. Both facets require students to have a thorough understanding of arithmetic equality ' properties' if the developed procedures and techniques are to be adequately understood. The same can be claimed also with respect to arithmetic inequality and the solving of inequat
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Musonda, John. "Orthogonal Polynomials, Operators and Commutation Relations." Licentiate thesis, Mälardalens högskola, Utbildningsvetenskap och Matematik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-35204.

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Orthogonal polynomials, operators and commutation relations appear in many areas of mathematics, physics and engineering where they play a vital role. For instance, orthogonal functions in general are central to the development of Fourier series and wavelets which are essential to signal processing. In particular, as demonstrated in this thesis, orthogonal polynomials can be used to establish the L2-boundedness of singular integral operators which is a fundamental problem in harmonic analysis and a subject of extensive investigations. The Lp-convergence of Fourier series is closely related to
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Radovic, Sendra Darinka. "Girls and school mathematics in Chile : social influences in differential attainment and mathematical identities." Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/girls-and-school-mathematics-in-chile-social-influences-in-differential-attainment-and-mathematical-identities(e7394296-7994-40b2-b37c-d3d0a85198a0).html.

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Girls' relationship with mathematics has been an extensive and contested area of investigation during the last 40 years, mainly in developed countries. This contrasts with the small amount of research from developing countries, where the topic has been largely neglected but may present different challenges. In Chile, such lack of empirical evidence is surprising, particularly because of several national reports describing attainment differences in the national assessment test (SIMCE), where girls are consistently outperformed by boys. Currently, there are no studies which systematically explor
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Tobias, Scott A. Rudy Duane Ispa Jean. "Relations between videogame play and 8th-graders' mathematics achievement." Diss., Columbia, Mo. : University of Missouri--Columbia, 2009. http://hdl.handle.net/10355/6878.

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Title from PDF of title page (University of Missouri--Columbia, viewed on Feb 24, 2010). The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file. Dissertation advisor: Dr. Jean Ispa and Dr. Duane Rudy. Vita. Includes bibliographical references.
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Souhail, Sliman. "Relations entre differentes notions d'ensembles pluripolaires complets dans c**(n)." Toulouse 3, 1987. http://www.theses.fr/1987TOU30014.

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Apres avoir dans un premier chapitre rappele quelques definitions et resultats classiques, sur les fonctions plurisousharmoniques, ensembles pluripolaires. On prouve dans le deuxieme chapitre que tout ensemble c**(n)-pluripolaire complet, de type fsigma est l-pluripolaire complet. Si en plus cet ensemble est ferme, on peut meme trouver une fonction de la classe l, continue sur son complementaire, qui definit exactement ce dernier. Dans le dernier chapitre, on montre que les ensembles pluripolaires complets au sens de sadullaev sont l-pluripolaires complets. Finalement, on demontre que tout con
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Hassler, Ryan Scott. "Mathematical comprehension facilitated by situation models: Learning opportunities for inverse relations in elementary school." Diss., Temple University Libraries, 2016. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/410935.

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Math & Science Education<br>Ph.D.<br>The Common Core State Standards call for more rigorous, focused, and coherent curriculum and instruction, has resulted in students being faced with more cognitively high-demanding tasks which involve forming connections within and between fundamental mathematical concepts. Because mathematical comprehension generally relates back to one’s ability to form connections to prior knowledge, this study sought to examine the extent to which current learning environments expose students to connection-making opportunities that may help facilitate mathematical unders
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Dahl, Heidi. "Cantor minimal systems and AF-equivalence relations." Doctoral thesis, Norwegian University of Science and Technology, Faculty of Information Technology, Mathematics and Electrical Engineering, 2008. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-1897.

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Lodree, Emmett. "Mathematical models for minimizing customer response time in two echelon supply chain systems /." free to MU campus, to others for purchase, 2001. http://wwwlib.umi.com/cr/mo/fullcit?p3036843.

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Books on the topic "Mathematical Relations"

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Bandyopadhyaya, Jayantanuja. International relations and global equilibrium: Some mathematical models. Published for School of International Relations and Strategic Studies, Jadavpur University by K.P. Bagchi & Co., 1992.

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Fejer, Peter A. Mathematical Foundations of Computer Science: Sets, Relations, and Induction. Springer New York, 1991.

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May, Leo. Empirical relations between some irrational transcendental mathematical universal constants. Roderer, 1997.

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Taylor, Alan D. Simple games: Desirability relations, trading, pseudoweightings. Princeton University Press, 1999.

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Vengayil, Padmaraj. Similarity relations of wind waves in finite depth. Woods Hole Oceanographic Institution, 1988.

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F, Hendricks Vincent, Pedersen Stig Andur 1943-, and Jørgensen Klaus Frovin, eds. Probability theory: Philosophy, recent history and relations to science. Kluwer Academic Publishers, 2001.

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Inman, Ernest J. Lagtime relations for urban streams in Georgia. U.S. Dept. of the Interior, U.S. Geological Survey, 2000.

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Inman, Ernest J. Flood-frequency relations for urban streams in Georgia. Dept. of the Interior, U.S. Geological Survey, 1988.

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Inman, Ernest J. Flood-frequency relations for urban streams in Georgia. Dept. of the Interior, U.S. Geological Survey, 1988.

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Inman, Ernest J. Flood-frequency relations for urban streams in Georgia. Dept. of the Interior, U.S. Geological Survey, 1988.

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Book chapters on the topic "Mathematical Relations"

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Jost, Jürgen. "Relations." In Mathematical Concepts. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-20436-9_3.

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Kossak, Roman. "Relations." In Mathematical Logic. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97298-5_7.

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Kossak, Roman. "Relations." In Mathematical Logic. Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-56215-0_7.

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Kovanic, Pavel. "General Relations." In Mathematical Gnostics. CRC Press, 2023. http://dx.doi.org/10.1201/9780429441196-25.

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Jost, Jürgen. "Spaces of Relations." In Mathematical Concepts. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-20436-9_6.

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Hager, Paul J. "Relations in Mathematical Philosophy." In Continuity and Change in the Development of Russell’s Philosophy. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-0844-7_5.

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Schwartz, Richard. "Recurrence relations." In Mathematical Surveys and Monographs. American Mathematical Society, 2014. http://dx.doi.org/10.1090/surv/197/18.

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McKeown, G. P., and V. J. Rayward-Smith. "Functions and Relations." In Mathematical Foundations for Computing. Macmillan Education UK, 1995. http://dx.doi.org/10.1007/978-1-349-10719-3_2.

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Ruefer, Herbert. "Input–Output Relations." In Living Without Mathematical Statistics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-99632-5_3.

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Faddeev, L., and O. Yakubovskiĭ. "Heisenberg uncertainty relations." In The Student Mathematical Library. American Mathematical Society, 2009. http://dx.doi.org/10.1090/stml/047/07.

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Conference papers on the topic "Mathematical Relations"

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Hakkarainen, T. J. "A Model for Prediction of Possibility of Localized Corrosion Attack of Stainless Steels." In CORROSION 1996. NACE International, 1996. https://doi.org/10.5006/c1996-96363.

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Abstract Empirical or semi-empirical relations were developed to express the dependence of the possibility ('probability) of localized corrosion attack of various stainless steels on environmental factors. Only chloride induced attack within the range 0…100°C (32…212°F) is considered. The environmental variables considered include temperature, pH, chloride content, sulfate content, presence of oxidizing agents, crevices and deposits, flow rate and possibility of concentration of solution by evaporation. Common mathematical operations are used to formulate the trends into equations. Examples of
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Kracht, Marcus. "Mathematical aspects of command relations." In the sixth conference. Association for Computational Linguistics, 1993. http://dx.doi.org/10.3115/976744.976773.

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Avila, Regina Fonseca, and Marcio Jose Menon. "Derivative Dispersion Relations." In Fourth International Winter Conference on Mathematical Methods in Physics. Sissa Medialab, 2004. http://dx.doi.org/10.22323/1.013.0043.

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Simistira, Fotini, Vassilis Papavassiliou, Vassilis Katsouros, and George Carayannis. "Recognition of Spatial Relations in Mathematical Formulas." In 2014 14th International Conference on Frontiers in Handwriting Recognition (ICFHR). IEEE, 2014. http://dx.doi.org/10.1109/icfhr.2014.35.

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Wankerl, Sebastian, Andrzej Dulny, Gerhard Gotz, and Andreas Hotho. "Learning Mathematical Relations Using Deep Tree Models." In 2021 20th IEEE International Conference on Machine Learning and Applications (ICMLA). IEEE, 2021. http://dx.doi.org/10.1109/icmla52953.2021.00268.

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Shum, K. P., X. J. Guo, and X. M. Ren. "(l)-Green's Relations and Perfect rpp Semigroups." In Third Asian Mathematical Conference 2000. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777461_0055.

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ZHENG, HONGBO, XUJIA QIN, and YEXUN ZHONG. "MATHEMATICAL DEFINITION OF CARTOGRAPHICAL SYMBOLS AND THEIR RELATIONS." In Proceedings of the International Computer Conference 2006. World Scientific Publishing Company, 2006. http://dx.doi.org/10.1142/9789812772763_0103.

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Finch, William W. "An Overview of Inference Mechanisms for Quantified Relations." In ASME 1998 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/detc98/dtm-5666.

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Abstract This paper temporarily sheds formal mathematical treatment and presents a more intuitive overview of inference mechanisms for quantified relations. These predicate logic expressions are a new class of design constraint among sets of variations affecting the design and performance of engineering systems. Simple examples illustrate the use of quantified relations to infer constraints on the membership of feasible sets. A small design problem from the electronics domain joins the mathematical tools with engineering concepts. A brief comparison demonstrates the advantages of this approach
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Singh, Rashmi. "On symmetric relations on IX." In ADVANCEMENT IN MATHEMATICAL SCIENCES: Proceedings of the 2nd International Conference on Recent Advances in Mathematical Sciences and its Applications (RAMSA-2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5008717.

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Khanna, Faqir. "Ward-Takahashi Relations: Longitudinal and Transverse." In Fifth International Conference on Mathematical Methods in Physics. Sissa Medialab, 2007. http://dx.doi.org/10.22323/1.031.0003.

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Reports on the topic "Mathematical Relations"

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Sondheim, M., and C. Hodgson. Common hydrology features (CHyF) logical model. Natural Resources Canada/CMSS/Information Management, 2024. http://dx.doi.org/10.4095/328952.

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The Open Geospatial Consortium has defined "OGC WaterML 2: Part 3 - Surface Hydrology Features (HY_Features) - Conceptual Model", but not any particular implementation of it. The Common Hydrology Features (CHyF) model extends HY_Features and makes some minor changes to it required for implementation and the delivery of high performance services. HY_Features discusses catchment coverage and topological relations. In CHyF these are key ideas, as is the notion that hydrologically defined network components form elements of a mathematical graph, allowing for very fast network traversal. HY_Feature
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Nisbet, Roger M., Russell J. Schmitt, and William G. Wilson. Mathematical Models Relating Effects of Xenobiotic Substances on Individuals and Populations. Defense Technical Information Center, 1997. http://dx.doi.org/10.21236/ada635054.

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Orban, Levente. Standardization and Standard Error of the Mean in Psychological Statistics. Orban Foundation, 2025. https://doi.org/10.69642/2905.

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This lecture explores the concepts of standardization and the standard error of the mean (SEM) in psychological statistics. Standardization enables comparability across variables measured on different scales, while SEM quantifies the uncertainty of sample means in relation to the population mean. We derive these concepts mathematically and implement them using base R to reinforce statistical reasoning in psychological research.
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Denner, Sylvia, Aidan Clerkin, Vasiliki Pitsia, and Grainne McHugh. Trends in students’ school experiences and attitudes towards mathematics and science: TIMSS 2015-2023. Educational Research Centre, 2025. https://doi.org/10.70092/2091315.0625.

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This report describes the school experiences and attitudes of Fourth Class and Second Year students in Ireland. Drawing on data from the 2023 cycle of the Trends in International Mathematics and Science Study (TIMSS), it delves into the experiences of students in relation to their attendance at school, sense of belonging, and experiences of bullying. Also discussed in the report are students’ attitudes towards mathematics and science; in particular, the extent to which students like learning, feel confident, and value mathematics and science. A key feature of this report is that it examines tr
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Tiruneh, Dawit, Ricardo Sabates, Caine Rolleston, and John Hoddinott. Trends in Mathematics Learning in Ethiopia: 2012-2019. Research on Improving Systems of Education (RISE), 2022. http://dx.doi.org/10.35489/bsg-rise-ri_2022/045.

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In this Insight Note, we explore the possible explanations for the decline in learning levels among primary school pupils in relation to the General Education Quality Improvement Programme (GEQIP) reforms that wereintended to improve quality and equity in the Ethiopian basic education system. We examine the extent to which mathematics learning levels for Grade 4 pupils have declined over time, despite the implementation of reforms to improve them, as well as the lessons that may be drawn from this. We also examine whether there is any difference in the benefits of the educational reforms for p
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Velychko, Vladyslav Ye, Elena H. Fedorenko, and Darja A. Kassim. Conceptual Bases of Use of Free Software in the Professional Training of Pre-Service Teacher of Mathematics, Physics and Computer Science. [б. в.], 2018. http://dx.doi.org/10.31812/123456789/2667.

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The development of education is associated primarily with the use of ICT. A significant experience is already gained in how to use educational computer systems while new forms and methods of learning based on modern information technology are being developed and used. In relation to free software, a period when the quantity should translate into quality and an indicator of such translation is development of the concept of the introduction of free software in educational activities of universities. The proposed concept, let’s take Ukraine as an example, determines the main aim of introduction o
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Hernández Orellana, Marisol. Educating for the Future: Why Universities Must Lead the Way in Ethical and Digital Competence. Carver University; Universidad Autónoma de Chile, 2025. https://doi.org/10.32457/hernandez2202597.

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As artificial intelligence (AI) reshapes our world, higher education faces a pivotal decision: will it merely adopt these technologies or will it actively guide their integration in ways that preserve human judgment, ethics, and intellectual autonomy? This opinion article argues that universities must take a leadership role—not only to safeguard their institutional identity but also to contribute to a society populated by digitally competent, ethically grounded professionals. Recent studies show that AI tools like ChatGPT and Wolfram Alpha are increasingly used by students to automate complex
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Lieth, J. Heiner, Michael Raviv, and David W. Burger. Effects of root zone temperature, oxygen concentration, and moisture content on actual vs. potential growth of greenhouse crops. United States Department of Agriculture, 2006. http://dx.doi.org/10.32747/2006.7586547.bard.

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Soilless crop production in protected cultivation requires optimization of many environmental and plant variables. Variables of the root zone (rhizosphere) have always been difficult to characterize but have been studied extensively. In soilless production the opportunity exists to optimize these variables in relation to crop production. The project objectives were to model the relationship between biomass production and the rhizosphere variables: temperature, dissolved oxygen concentration and water availability by characterizing potential growth and how this translates to actual growth. As p
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Williams, Thomas. Cell Biology Board Game: Cell Survival (School Version). University of Dundee, 2022. http://dx.doi.org/10.20933/100001270.

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Cells are the smallest units of life. The environment around cells is always changing. Cells need to adapt to survive. This curriculum linked game and lesson plan introduces the world of cells to pupils 8-13. But can they keep their cells alive? This is a guide to how the cell survival resources can be used in a lesson and can be adapted as the teacher sees fit to do so. This lesson is aimed at 8-13 year olds, and fits into an hour long session. The Cell Survival Game has been adapted for both home use and for use in the classroom, and is accompanied by a series of videos. Learning Outcomes –
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Williams, Thomas, Caroline Erolin, and Muireann McMahon. Cell Survival Deluxe: School Version. University of Dundee, 2023. http://dx.doi.org/10.20933/100001284.

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Cells are the smallest units of life. The environment around cells is always changing. Cells need to adapt to survive. This curriculum linked game and lesson plan introduces the world of cells to pupils 8-13. But can they keep their cells alive? This is a guide to how the cell survival resources can be used in a lesson and can be adapted as the teacher sees fit to do so. This lesson is aimed at 8-13 year olds, and fits into an hour long session. This Cell Survival Game has been adapted for use in the classroom and contains new and improved artwork. Accompanying videos and activity sheets compl
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