Relevant bibliographies by topics / Mathematical principles

Contents

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

Academic literature on the topic 'Mathematical principles'

Author: Grafiati
Published: 18 May 2024

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Journal articles on the topic "Mathematical principles"

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Killeen, Peter R. "Mathematical principles of reinforcement." Behavioral and Brain Sciences 17, no. 1 (March 1994): 105–35. http://dx.doi.org/10.1017/s0140525x00033628.

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AbstractEffective conditioning requires a correlation between the experimenter's definition of a response and an organism's, but an animal's perception of its behavior differs from ours. These experiments explore various definitions of the response, using the slopes of learning curves to infer which comes closest to the organism's definition. The resulting exponentially weighted moving average provides a model of memory that is used to ground a quantitative theory of reinforcement. The theory assumes that: incentives excite behavior and focus the excitement on responses that are contemporaneous in memory. The correlation between the organism's memory and the behavior measured by the experimenter is given by coupling coefficients, which are derived for various schedules of reinforcement. The coupling coefficients for simple schedules may be concatenated to predict the effects of complex schedules. The coefficients are inserted into a generic model of arousal and temporal constraint to predict response rates under any scheduling arrangement. The theory posits a response-indexed decay of memory, not a time-indexed one. It requires that incentives displace memory for the responses that occur before them, and may truncate the representation of the response that brings them about. As a contiguity-weighted correlation model, it bridges opposing views of the reinforcement process. By placing the short-term memory of behavior in so central a role, it provides a behavioral account of a key cognitive process.
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Atmaja, I. Made Dharma. "Prinsip Induksi Matematika dalam Pengambilan Keputusan Organisasi." CENDEKIA : Jurnal Penelitian dan Pengkajian Ilmiah 1, no. 4 (April 14, 2024): 115–31. http://dx.doi.org/10.62335/v1519165.

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The principle of mathematical induction can be an effective tool in organizational decision making. Although these principles have the potential to increase efficiency, reduce uncertainty, and increase accuracy in organizational decision making, their application is limited and has not been fully exploited. Studies need to be conducted to bridge this gap by strengthening the understanding and application of the principles of mathematical induction in the context of organizational decision making. By considering the gaps that occur, it is necessary to conduct research on "The Principle of Mathematical Induction in Organizational Decision Making". This research provides an overview of how the principles of mathematical induction can bridge this gap and improve the quality of decision making in an organizational context. The research method used in this research is a qualitative approach and literature study which involves analysis of relevant literature related to the principles of mathematical induction in the context of organizational decision making. The conclusions from this research are: 1) Applying the principles of mathematical induction in organizational decision making can strengthen efficiency, reduce uncertainty, and increase accuracy in decision making; 2) In applying the principles of mathematical induction in organizational decision making, there are obstacles and challenges that need to be overcome; and 3) Utilizing the principles of mathematical induction involves the use of structured methods, in-depth analysis, and a more objective approach.
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Abboud, Mahmoud. "Arabic grammar by mathematical principles." Lebanese Science Journal 21, no. 2 (December 27, 2020): 230–39. http://dx.doi.org/10.22453/lsj-021.2.230-239.

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In mathematics, any equation is formed from specific elements; these elements are connected to each other according to a system of relationships (Borowski, 1995). This system allows us to build the general rule for the equation or the mathematical issue; similarly, the sentence is formed from elements that have grammatical properties, which can be transformed to mathematical data. Hence, the elements or the words that carry the grammatical properties of the sentence correlate to each other to form a mathematical relation; this mathematical relation forms the theory of sentence construction. Therefore, the analysis process is correct when we can collect mathematical data contained within the elements; in other words, we indicate the mathematical data contained in the words located in a specific sentence. These mathematical data will form the elements of the mathematical theory of the Arabic sentence.
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Nemer Abboud, Mahmoud. "Arabic Grammar by Mathematical Principles." Lebanese Science Journal 21, no. 2 (February 13, 2022): 252–61. http://dx.doi.org/10.22453/lsj-021.2.252-261.

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In mathematics, any equation is formed from specific elements; these elements are connected to each other according to a system of relationships (Borowski, 1995). This system allows us to build the general rule for the equation or the mathematical issue; similarly, the sentence is formed from elements that have grammatical properties, which can be transformed to mathematical data. Hence, the elements or the words that carry the grammatical properties of the sentence correlate to each other to form a mathematical relation; this mathematical relation forms the theory of sentence construction. Therefore, the analysis process is correct when we can collect mathematical data contained within the elements; in other words, we indicate the mathematical data contained in the words located in a specific sentence. These mathematical data will form the elements of the mathematical theory of the Arabic sentence.
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Patterson, Jim. "Physical principles versus mathematical rigor." Physics Teacher 38, no. 4 (April 2000): 214. http://dx.doi.org/10.1119/1.880508.

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Kieu, Tien D. "Quantum Principles and Mathematical Computability." International Journal of Theoretical Physics 44, no. 7 (July 2005): 931–42. http://dx.doi.org/10.1007/s10773-005-7070-y.

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Muraskin, Murray. "Mathematical aesthetic principles and nonintegrable systems." Physics Essays 28, no. 3 (September 5, 2015): 399–412. http://dx.doi.org/10.4006/0836-1398-28.3.399.

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Solodov, Alexander A. "MATHEMATICAL PRINCIPLES OF BUILDING RATING SYSTEMS." Statistics and Economics, no. 1 (January 1, 2016): 75–82. http://dx.doi.org/10.21686/2500-3925-2016-1-75-82.

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Latinčić, Dragan. "Possible principles of mathematical music analysis." New Sound, no. 51 (2018): 153–74. http://dx.doi.org/10.5937/newso1851153l.

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The text is a summary of many years of research in the domains of micro-intervals, metric-rhythmic projection of the spectrum harmonics, and the establishment of a link with mathematics, more precisely, geometry, with a special focus on the application of the Pythagorean Theorem. Mathematical music analysis enables the establishment of methods for constructing right, obtuse, and acute musical triangles as well as projections of their edges (sides), which are recognized in trigonometry as the functions of angles: the sine, cosine, and so on; as well as the establishment of methods for constructing spectral and scalar (intonative-temporal) trigonometric unit circles with their function graphs.
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Watkinson, Adam C., and Keith R. Brain. "BASIC MATHEMATICAL PRINCIPLES IN SKIN PERMEATION." Journal of Toxicology: Cutaneous and Ocular Toxicology 21, no. 4 (January 2002): 371–402. http://dx.doi.org/10.1081/cus-120016396.

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Dissertations / Theses on the topic "Mathematical principles"

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Vigo, Ronaldo. "Mathematical principles of Boolean concept learning." [Bloomington, Ind.] : Indiana University, 2008. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3319897.

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Thesis (Ph.D.)--Indiana University, Dept. of Cognitive Science, 2008.
Title from home page (viewed on May 13, 2009). Source: Dissertation Abstracts International, Volume: 69-08, Section: B, page: 5073. Advisers: Colin Allen; John Kruschke.
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Bhaumik, (Mitra) Sudeshna. "Some mathematical principles in Indian philosophy: a philosophical study." Thesis, University of North Bengal, 2004. http://hdl.handle.net/123456789/91.

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Elderfield, James Alexander David. "Using epidemiological principles and mathematical models to understand fungicide resistance evolution." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/275061.

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The use of agricultural fungicides exerts very strong selection pressures on plant pathogens. This can lead to the spread of fungicide resistance in the pathogen population, which leads to a reduction in efficacy of disease control and loss of yield. In this thesis, we use mathematical modelling to investigate how the spread of fungicide resistant pathogen strains can be slowed, using epidemiological models to understand how application strategies can be optimised. A range of different fungicide application strategies have been proposed as anti-resistance strategies. Two of the most often considered strategies rely on combining two fungicides with different modes of action. The first involves spraying the two fungicides at the same time (mixture) and the second spraying them alternately at different times (alternation). These strategies have been compared both experimentally and by mathematical modellers for decades, but no firm conclusion as to which is better has been reached, although mixtures have in general often been favoured. We use mathematical models of septoria leaf blotch (Zymoseptoria tritici) on winter wheat and powdery mildew on grapevine (Erysiphe necator) to investigate the relative performance of these two strategies. We show that depending on the exact way in which the strategies are compared and the exact case, either strategy can be the more effective. However, when aiming to optimise yield in the long-term, we show that mixtures are very likely to be the most effective strategy in any given case. The structure of mathematical models clearly impacts on the conclusions of those models. As well as investigating the sensitivity of our conclusions to the structure of the models, we use a range of nested models to isolate mechanisms driving the differential performance of fungicide mixtures and alternation. Although the fine detail of a model’s predictions depends on its exact structure, we find a number of conserved patterns. In particular we find no case in which mixtures do not produce the overall largest yield over the time for which the fungicide remains effective. We also investigate the effects of the timing of an individual fungicide spray on its contribution toward resistance development and disease control. A set of so-called “governing principles” to understand the performance of resistance-management strategies was recently introduced by van den Bosch et al., formalising concepts from earlier literature. These quantify selection rates by examining the difference between the growth rates of fungicide-sensitive and fungicide resistant pathogen strains. Throughout the thesis, we concentrate on the extent to which these governing principles can be used to explain the relative performance of the resistance-management strategies that are considered.
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Rubido, Nicolás. "Mathematical principles behind the transmission of energy and synchronisation in complex networks." Thesis, University of Aberdeen, 2014. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=215563.

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Understanding how the transmission of energy between the providers (such as nuclear power stations, renewable resources, or any type of supplying entity) and the consumers (such as factories, homes, or any type of demanding entity) depends on the structure of the inter-connections between them and on their dynamical be- haviour, is of paramount importance for the design of power-grid systems that are resilient to failures, e.g., failures due to structural modifications or energy fluctu- ations. In this thesis, we derive the implicit relationship between structure and behaviour that flow and power networks have, namely, the mathematical principles behind the transmission of energy in complex networks. From our novel derivations, we determine exact and approximate strategies to create self-controlled and stable systems (i.e., resilient to failures without the need for external controllers) that have an optimal (i.e., with less cost and power dissipation) and smart (i.e., allowing the decentralisation of large power-stations to smaller fluctuating renewable resources) energy distribution. Moreover, not only we achieve analytical solutions for problems that usually require a numerical analysis, but we also propose a change in the analy- sis view-point of complex systems, namely, systems composed of many dynamically interacting units forming a network. We show that in order to explain the emer- gent behaviour in these systems, instead of focusing on the network structure of the interactions, we should focus on the functional form of the interactions. In particu- lar, we derive a general framework to study the existence and stability of emergent collective behaviour in networks of interacting phase-oscillators, namely, the math- ematical principles behind the synchronisation in complex networks. The numerous breakthrough results in this thesis are expected to be of aid for engineers to design smarter and more resilient power-grid systems, as well as to scientists dealing with emergence of collective behaviour in complex systems.
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Schumacher, Linus J. "A mathematical exploration of principles of collective cell migration and self-organisation." Thesis, University of Oxford, 2015. https://ora.ox.ac.uk/objects/uuid:bba68d2c-352b-4310-89c2-b9049b70515c.

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This thesis explores the role of collective cell migration and self-organisation in the development of the embryo and in vitro tissue formation through mathematical and computational approaches. We consider how population heterogeneity, microenvironmental signals and cell-cell interactions facilitate cells to collectively organise and navigate, with the aim to work towards uncovering general rules and principles, rather than delving into the microscopic molecular details. To ensure the biological relevance of our results, we collaborate closely with experimental biologists working on two model systems. First, to understand how neural crest cells obtain directionality, maintain persistence and specialise during their migration, we use computational simulations in parallel with imaging of chick embryos under genetic and surgical perturbations. We show how only a few cells adopting a leader state that enables them to read out chemical signals can lead a population of cells in a follower state over long distances in the embryo. Furthermore, we devise and test an improved mechanism of how cells dynamically switch between leader and follower states in the presence of a chemoattractant gradient. Our computational work guides the choice of new experiments, aids in their interpretation and probes hypotheses in ways the experiments can not. Secondly, to study the self-organisation of mouse skin cells in vitro, we draw on aggregation processes and scaling theory. Dermal and epidermal cells, after being dissociated and mixed, can reconstitute functional (transplantable and hair-growing) skin in culture. Using kinetic aggregation models and scaling analysis we show that the initial clustering of epidermal cells can be described by Smoluchowski coagulation, consistent with the dynamics of the "clustering clusters" universality class. Then, we investigate a potential mechanism for the size-regulation of cell aggregates during the later stages of the skin reconstitution process. Our analysis shows the extent to which this tissue formation follows a single physical process and when the transition to different dynamics occurs, which may be triggered by cellular biochemical changes.
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Hulshof, Ana Vitoria Joly. "Interactive television for young children : developing design principles." Thesis, University of Brighton, 2010. https://research.brighton.ac.uk/en/studentTheses/c20c561b-b374-460d-b48b-66ec3cc58729.

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The research reported in this thesis investigates preschoolers‟ interactions with interactive television applications. The study involved the development of an electronic programme guide prototype and the empirical evaluation thereof. There were three main aims. The first aim was to analyse children‟s interactions and illustrate them in a framework to further understanding of the way preschoolers interact with the television. The second aim was to contribute design principles for preschool interactive television and the third aim was to refine methods and add to the knowledge of design and evaluation techniques involving young children.
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Voisei, Mircea Dan. "First-order necessary optimality conditions for nonlinar optimal control problems." Ohio : Ohio University, 2004. http://www.ohiolink.edu/etd/view.cgi?ohiou1091111473.

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Tzou, Leo. "Linear and nonlinear analysis and applications to mathematical physics /." Thesis, Connect to this title online; UW restricted, 2007. http://hdl.handle.net/1773/5761.

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Böhm, Ulrike, Gesche Pospiech, Hermann Körndle, and Susanne Narciss. "Physicists use mathematics to describe physical principles an mathematicians use physical phenomena to illustrate mathematical formula - Do they really mean the same?" Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-82341.

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Chou, Chia-Peng. "A mathematical model of building daylighting based on first principles of astrometry, solid geometry and optical radiation transfer." Diss., Virginia Polytechnic Institute and State University, 1987. http://hdl.handle.net/10919/82904.

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There is a growing recognition in design professions that lighting is a significant factor in energy consideration. This has generated an interest in daylighting; the bringing of direct and diffuse daylight into buildings to reduce the use of artificial lighting. Many methods exist for quantifying diffuse daylight distribution for use in the design of buildings, but the methods vary widely both in technique and capability. Moreover, no present method deals with direct daylight (sunshine) distribution. Additionally, none have taken advantage of improvements in computer technology that make feasible more complex mathematical computational models for dealing with direct and diffuse daylight together. This dissertation describes the theoretical development and computer implementation of a new mathematical approach to analyzing the distribution of direct and diffuse daylight. This approach examines light transfer from extraterrestrial space to the inside of a room based on the principles of astrometry, solid geometry, and radiation transfer. This study discusses and analyzes certain aspects critical to develop a mathematical model for evaluating daylight performance and compares the results of the proposed model with 48 scale model studies to determine the validity of using this mathematical model to predict the daylight distribution of a room. Subsequent analysis revealed no significant variation between scale model studies and this computer simulation. Consequently, this mathematical model with the attendant computer program, has demonstrated the ability to predict direct and diffuse daylight distribution. Thus, this approach does indeed have the potential for allowing designers to predict the effect of daylight performance in the schematic design stage. A microcomputer program has been developed to calculate the diffuse daylight distribution. The computation procedures of the program use the proposed mathematical model method. The program was developed with a menu-driven format, where the input data can be easily chosen, stored, and changed to determine the effects of different parameters. Results can be obtained through two formats. One data format provides complete material for analyzing the aperture size and location, glass transmission, reflectance factors, and room orientation. The other provides the graphic displays which represent the illuminance in plan, section, and 3-dimensional contour. The program not only offers a design tool for determining the effects of various daylighting options quickly and accurately in the early design stage, but also presents the daylight distribution with less explanation and with more rapid communication with the clients. The program is written in BASICA language and can be used with the IBM microcomputer system.
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Books on the topic "Mathematical principles"

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Mathematical principles of economics. Aldershot, Hants, England: E. Elgar, 1993.

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Vali, Shapoor. Principles of Mathematical Economics. Paris: Atlantis Press, 2014. http://dx.doi.org/10.2991/978-94-6239-036-2.

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Vistelius, A. B. Principles of Mathematical Geology. Dordrecht: Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-2934-3.

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Vistelius, Andreĭ Borisovich. Principles of mathematical geology. Dordrecht: Kluwer Academic Publishers, 1989.

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Dym, Clive L. Principles of mathematical modeling. 2nd ed. Amsterdam: Elsevier Academic Press, 2004.

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Vistelius, Andreĭ Borisovich. Principles of mathematical geology. Dordrecht: Kluwer Academic Publishers, 1992.

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Hilbert, David. Principles of mathematical logic. Providence, R.I: AMS Chelsea, 1999.

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Yau, Stephen S. T., Xin Zhao, Kun Tian, and Hongyu Yu. Mathematical Principles in Bioinformatics. Cham: Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-48295-3.

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Faigle, Ulrich. Algorithmic Principles of Mathematical Programming. Dordrecht: Springer Netherlands, 2002.

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Vali, Shapoor. Principles of Mathematical Economics II. Paris: Atlantis Press, 2015. http://dx.doi.org/10.2991/978-94-6239-088-1.

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Book chapters on the topic "Mathematical principles"

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Kolmar, Martin. "Mathematical Appendix." In Principles of Microeconomics, 477–92. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-78167-5_17.

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Serovajsky, Simon. "Variational principles." In Mathematical Modelling, 297–318. Boca Raton: Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003035602-16.

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Woerlee, Gerald M. "Basic Mathematical Principles." In Kinetics and Dynamics of Intravenous Anesthetics, 1–22. Dordrecht: Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-0-585-28009-7_1.

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Şen, Zekâi. "Mathematical Modeling Principles." In Shallow and Deep Learning Principles, 245–310. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-29555-3_5.

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Shankar, R. "Mathematical Introduction." In Principles of Quantum Mechanics, 1–73. New York, NY: Springer US, 1994. http://dx.doi.org/10.1007/978-1-4757-0576-8_1.

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Pulido-Bosch, Antonio. "Mathematical Models." In Principles of Karst Hydrogeology, 195–240. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-55370-8_6.

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Shankar, Ramamurti. "Mathematical Introduction." In Principles of Quantum Mechanics, 1–78. Boston, MA: Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-7673-0_1.

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Serra, Jean. "Principles of Mathematical Morphology." In Quantitative Analysis of Mineral and Energy Resources, 237–54. Dordrecht: Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-4029-1_14.

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Witelski, Thomas, and Mark Bowen. "Variational Principles." In Methods of Mathematical Modelling, 47–83. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-23042-9_3.

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Chow, Bennett, and Dan Knopf. "Maximum principles." In Mathematical Surveys and Monographs, 93–104. Providence, Rhode Island: American Mathematical Society, 2004. http://dx.doi.org/10.1090/surv/110/04.

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Conference papers on the topic "Mathematical principles"

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Baleanu, Dumitru. "Difference Discrete Variational Principles." In MATHEMATICAL ANALYSIS AND APPLICATIONS: International Conference on Mathematical Analysis and Applications. AIP, 2006. http://dx.doi.org/10.1063/1.2205033.

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Sotiriadis, Paul P. "Diophantine Frequency Synthesis The Mathematical Principles." In 2007 IEEE International Symposium on Circuits and Systems. IEEE, 2007. http://dx.doi.org/10.1109/iscas.2007.378066.

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Usubamatov, Ryspek. "Mathematical models for principles of gyroscope theory." In ICNPAA 2016 WORLD CONGRESS: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. Author(s), 2017. http://dx.doi.org/10.1063/1.4972725.

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Izadi, Parin, Mehran Andalib, and Parin Izadi. "Principles of Mathematical Modeling for PdNA Processes." In WEFTEC 2023. Water Environment Federation, 2023. http://dx.doi.org/10.2175/193864718825159191.

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Blahova, Marta, and Martin Hromada. "Principles For Verification Of Mathematical Fire Models." In 2021 25th International Conference on Circuits, Systems, Communications and Computers (CSCC). IEEE, 2021. http://dx.doi.org/10.1109/cscc53858.2021.00027.

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Oluwatosin, Ajayi Michael, Karim Djouani, and Yskandar Hamam. "Theory of adaptive oscillators: Mathematical principles and background." In AFRICON 2013. IEEE, 2013. http://dx.doi.org/10.1109/afrcon.2013.6757741.

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Grant, Emanuel S., and Kruti P. Shah. "Pedagogy for Applying Mathematical Principles in Software Engineering." In 2022 7th International STEM Education Conference (iSTEM-Ed). IEEE, 2022. http://dx.doi.org/10.1109/istem-ed55321.2022.9920748.

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The mathlib Community. "The lean mathematical library." In POPL '20: 47th Annual ACM SIGPLAN Symposium on Principles of Programming Languages. New York, NY, USA: ACM, 2020. http://dx.doi.org/10.1145/3372885.3373824.

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Bystrov, V. S., E. V. Paramonova, L. A. Avakyan, J. Coutinho, and A. V. Bystrova. "Defects in Hydroxyapatite: structure and properties, calculations from the first principles." In Mathematical Biology and Bioinformatics. Pushchino: IMPB RAS - Branch of KIAM RAS, 2018. http://dx.doi.org/10.17537/icmbb18.1.

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Zuckerman, Gregg J. "ACTION PRINCIPLES AND GLOBAL GEOMETRY." In Proceedings of the Conference on Mathematical Aspects of String Theory. WORLD SCIENTIFIC, 1987. http://dx.doi.org/10.1142/9789812798411_0013.

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Reports on the topic "Mathematical principles"

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Lovyanova, I. V. On Specific Character of Mathematical Education Content Selection at Subject-Specialised School. [б. в.], 2013. http://dx.doi.org/10.31812/0564/2377.

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The article dwells upon the issues of mathematics teaching as a subject training organisational process. Historical principles and tendencies concerning subject-specialised school creation in particular as well as Russian and soviet school practice are analysed in the article. Experience of differentiation process on the high stage of school education in such countries as France, Japan and the USA has been investigated. The main functions of a subject matter mastering conception at high school have been pointed out. Mathematical education is considered to be the principal component of comprehensive education as well as the factor influencing the quality of education at a higher educational establishment on the whole run. The peculiarities of mathematical education content at a subject-specialised school in different directions of mathematical training have been illuminated in the article along with the deep consideration of succession problem of both secondary comprehensive and higher school educational processes correspondingly, which, in their turn, are regarded as the possible ways of education quality improvement in terms of higher educational establishment (HEE). The constructional principles of educational courses in various mathematical subjects are defined in the article.
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Shokaliuk, Svitlana V., Yelyzaveta Yu Bohunenko, Iryna V. Lovianova, and Mariya P. Shyshkina. Technologies of distance learning for programming basics lessons on the principles of integrated development of key competences. [б. в.], July 2020. http://dx.doi.org/10.31812/123456789/3888.

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In the era of the fourth industrial revolution – Industry 4.0 – developing key competences (digital, multilingual and mathematical competences in particular) is of paramount importance. The purpose of this work is to investigate the content of key competences of a secondary school student and to develop a method of teaching for the integrated development of multilingual and mathematical competences in the process of teaching Programming Basics with the help of distant technologies. The objectives of the research include generalizing and systematizing theoretical data on the structure and the content of key competences and the potential of informatics lessons for the development of separate components of multilingual and mathematical competences; generalizing and systematizing theoretical data on the ways of arranging distant support for informatics learning, Programming Basics in particular; to investigate the content and the methods of teaching Programming Basics in 7th-11th grades; to develop the e-learning Moodle course using Python for Programming Basics on the principles of integrated approach to developing separate components of multilingual and mathematical competence with determining some methodical special features while using it. The object of the study is to teach informatics to junior high school and high school students. The subject of the study is the means and the methods of realizing distant support in the process of teaching Programming Basics using Python on the principles of an integrated approach to developing multilingual and mathematical competences.
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Olefirenko, Nadiia V., Ilona I. Kostikova, Nataliia O. Ponomarova, Kateryna O. Lebedieva, Vira M. Andriievska, and Andrey V. Pikilnyak. Training elementary school teachers-to-be at Computer Science lessons to evaluate e-tools. [б. в.], July 2020. http://dx.doi.org/10.31812/123456789/3890.

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The study purpose is to develop methodological support for students’ training for evaluation e-tools for young learners and to check its effectiveness experimentally. The module “Expert evaluation of the quality of e-tools for young learners” is offered for teachers-to-be. The determination of the weighting factor of each criterion by expert evaluations was organized. Educational principles, correlation e-tool content with the curriculum, interactivity, multimedia, assistance system, ergonomic requirements are mentioned. On the basis of the criterion rank, the significance of each criterion was calculated. The indicators to determine the level of preliminary expert evaluations of e-tools are proposed. The results are calculated with nonparametric methods of mathematical statistics, in particular, Pearson’s criterion χ2. The conclusion is the expert evaluation has different activity stages, gradually becoming a common phenomenon. Training teachers-to-be for e-tool expert evaluation at Computer Science, Mathematics, English is a complex process.
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Semerikov, Serhiy, Illia Teplytskyi, Yuliia Yechkalo, Oksana Markova, Vladimir Soloviev, and Arnold Kiv. Computer Simulation of Neural Networks Using Spreadsheets: Dr. Anderson, Welcome Back. [б. в.], June 2019. http://dx.doi.org/10.31812/123456789/3178.

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The authors of the given article continue the series presented by the 2018 paper “Computer Simulation of Neural Networks Using Spreadsheets: The Dawn of the Age of Camelot”. This time, they consider mathematical informatics as the basis of higher engineering education fundamentalization. Mathematical informatics deals with smart simulation, information security, long-term data storage and big data management, artificial intelligence systems, etc. The authors suggest studying basic principles of mathematical informatics by applying cloud-oriented means of various levels including those traditionally considered supplementary – spreadsheets. The article considers ways of building neural network models in cloud-oriented spreadsheets, Google Sheets. The model is based on the problem of classifying multi-dimensional data provided in “The Use of Multiple Measurements in Taxonomic Problems” by R. A. Fisher. Edgar Anderson’s role in collecting and preparing the data in the 1920s-1930s is discussed as well as some peculiarities of data selection. There are presented data on the method of multi-dimensional data presentation in the form of an ideograph developed by Anderson and considered one of the first efficient ways of data visualization.
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Vlasenko, Kateryna V., Sergei V. Volkov, Daria A. Kovalenko, Iryna V. Sitak, Olena O. Chumak, and Alexander A. Kostikov. Web-based online course training higher school mathematics teachers. [б. в.], July 2020. http://dx.doi.org/10.31812/123456789/3894.

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The article looks into the problem of theoretical aspects of using Web 2.0 technology in higher education. This paper describes answers of 87 respondents who have helped to identify the most required types of educational content for the integration to pages of the online course training higher school mathematics teachers. The authors carry out a theoretical analysis of researches and resources that consider the development of theoretical aspects of using web tools in higher education. The research presents the characteristics common to online courses, principles of providing a functioning and physical placement of online systems in webspace. The paper discusses the approaches of creating and using animated content in online systems. The authors describe the methods of publishing video content in web systems, in particular, the creation and use of video lectures, animation, presentations. This paper also discusses several of the existing options of integrating presentations on web pages and methods of integrating mathematical expressions in web content. It is reasonable to make a conclusion about the expediency of promoting online courses, the purpose of which is to get mathematics teachers acquainted with the technical capabilities of creating educational content developed on Web 2.0 technology.
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Siebke, Christian, Maximilian Bäumler, Madlen Ringhand, Marcus Mai, Felix Elrod, and Günther Prokop. Report on integration of the stochastic traffic simulation. Technische Universität Dresden, 2021. http://dx.doi.org/10.26128/2021.246.

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As part of the AutoDrive project, the OpenPASS framework is used to develop a cognitive-stochastic traffic flow simulation for urban intersection scenarios described in deliverable D1.14. This framework was adapted and further developed. The deliverable D5.13 deals with the construction of the stochastic traffic simulation. At this point of the process, the theoretical design aspects of D4.20 are implemented. D5.13 explains the operating principles of the different modules. This includes the foundations, boundary conditions, and mathematical theory of the traffic simulation.
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Kotenko, I. V. Formal Methods for Information Protection Technology. Task 2: Mathematical Foundations, Architecture and Principles of Implementation of Multi-Agent Learning Components for Attack Detection in Computer Networks. Part 2. Fort Belvoir, VA: Defense Technical Information Center, November 2003. http://dx.doi.org/10.21236/ada427492.

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Santiago, Ana, Marcelo Cabrol, and Mariana Alfonso. Aligning Learning Incentives (ALI). Inter-American Development Bank, March 2010. http://dx.doi.org/10.18235/0008047.

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Mexican students score low in international learning assessments, particularly in math. To help remedy this situation, the Inter-American Development Bank is supporting a pilot study to identify to what extent performance based incentives for students, teachers and principals in upper-secondary schools can improve students¿ mathematical skills, as measured by their scores in curriculum-based mathematics tests.
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Striuk, Andrii M., and Serhiy O. Semerikov. The Dawn of Software Engineering Education. [б. в.], February 2020. http://dx.doi.org/10.31812/123456789/3671.

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Designing a mobile-oriented environment for professional and practical training requires determining the stable (fundamental) and mobile (technological) components of its content and determining the appropriate model for specialist training. In order to determine the ratio of fundamental and technological in the content of software engineers’ training, a retrospective analysis of the first model of training software engineers developed in the early 1970s was carried out and its compliance with the current state of software engineering development as a field of knowledge and a new the standard of higher education in Ukraine, specialty 121 “Software Engineering”. It is determined that the consistency and scalability inherent in the historically first training program are largely consistent with the ideas of evolutionary software design. An analysis of its content also provided an opportunity to identify the links between the training for software engineers and training for computer science, computer engineering, cybersecurity, information systems and technologies. It has been established that the fundamental core of software engineers’ training should ensure that students achieve such leading learning outcomes: to know and put into practice the fundamental concepts, paradigms and basic principles of the functioning of language, instrumental and computational tools for software engineering; know and apply the appropriate mathematical concepts, domain methods, system and object-oriented analysis and mathematical modeling for software development; put into practice the software tools for domain analysis, design, testing, visualization, measurement and documentation of software. It is shown that the formation of the relevant competencies of future software engineers must be carried out in the training of all disciplines of professional and practical training.
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Song, Frank, and Narasi Sridhar. DTRS56-04-T-0002 Determining Reassessment Intervals Through Corrosion. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), July 2006. http://dx.doi.org/10.55274/r0011958.

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The objectives of this program are to develop methods based on sound fundamental principles to estimate: (1) external corrosion rates, especially in CP shielded areas, and (2) internal corrosion rates by considering pipeline-relevant factors for gas and liquid lines. Mathematical models will be developed to achieve the above goal. The models will be compared with field and laboratory data for validity and the models will be simplified to a format that is applicable to pipeline operators to estimate pipeline external or/and internal corrosion rate. It is recognized that the development of fundamental, physics-based models to predict corrosion rates for each of these areas is a daunting task. Therefore, this project aims to develop models that can be used to predict the pipeline corrosion rate in some scenarios that are relatively conservative and are expected to occur more commonly in the field. The goals were (1) external corrosion rate calculation, (2) internal corrosion rate calculation, (3) validation of the external corrosion rate calculation, (4) field validation of the internal corrosion rate calculation, and (5) reporting and recommendations.
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