Academic literature on the topic 'Mathematical discovery and justification'

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Journal articles on the topic "Mathematical discovery and justification"

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Harris, Michael, and Mary Beth Ruskai. "Between discovery and justification." Mathematical Intelligencer 23, no. 1 (2001): 16–29. http://dx.doi.org/10.1007/bf03024513.

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Venukapalli, Sudhakar. "The Problematics of Scientific Discovery." European Journal of Theology and Philosophy 1, no. 3 (2021): 1–8. http://dx.doi.org/10.24018/theology.2021.1.3.15.

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Historically, the problem of discovery or the problem of the genesis of scientific ideas has been taken seriously by the historians, psychologists, sociologists and philosophers who analyzed the creative thinking and formation of ideas and attempted to provide a meaningful account of them. In fact, the philosophical concern with scientific discovery is as old as science and philosophy of science themselves. However, almost throughout the first half of 20th century, philosophical reflection on the phenomenon of scientific discovery remained in a state of suspended animation. This is because the
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Chick, Linda, Andrea S. Holmes, Nicole McClymonds, Steve Musick, Patti Reynolds, and Gilda Shultz. "Math by the Month: Read a Story, Discover the Math." Teaching Children Mathematics 14, no. 4 (2007): 224–25. http://dx.doi.org/10.5951/tcm.14.4.0224.

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“Math by the Month” activities are designed to engage students to think as mathematicians do. Students may work on the activities individually or in small groups, or the whole class may use these as problems of the week. Because no solutions are suggested, students will look to themselves for mathematical justification, thereby developing the confidence to validate their work.
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Morawski, Roman Z. "Measurement in the context of technoscientific research methodology." tm - Technisches Messen 87, no. 4 (2020): 294–301. http://dx.doi.org/10.1515/teme-2019-0109.

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AbstractTechnoscience is a result of integration of technology with empirical sciences, including not only physical sciences, but also life sciences, social sciences and cognitive sciences. Further development of technoscience is unthinkable without extensive use of measurement and mathematical modelling, being two interrelated operations used for acquisition and representation of knowledge. Measurement fundamentals must, therefore, belong to the core of methodological instruction of young researchers in the domain of technoscience. This paper provides an outline of a sought-for discipline-ind
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Kalish, Mia. "Multisensory mathematical gaming with the Energizer Bunny®." On the Horizon 25, no. 4 (2017): 260–66. http://dx.doi.org/10.1108/oth-01-2017-0001.

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Purpose Educational mathematics game models tend to be simplistic because they are target-oriented. This paper aims to show how game models that facilitate discovery and analysis can be derived from successful implementations already existing in the popular culture. Design/methodology/approach Based loosely on Rivera’s Toward a visually-oriented school mathematics curriculum, the analysis combines perspectives from psychology, the graphic arts and object-oriented technology to illustrate the depth and breadth of mathematics in a popular commercial. Findings This paper offers an cross-disciplin
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Al-Faqih, Khaled M. S. "A Mathematical Phenomenon in the Quran of Earth-Shattering Proportions: A Quranic Theory Based On Gematria Determining Quran Primary Statistics (Words, Verses, Chapters) and Revealing Its Fascinating Connection with the Golden Ratio." Journal of Arts and Humanities 6, no. 6 (2017): 52. http://dx.doi.org/10.18533/journal.v6i6.1192.

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As Almighty God has promised to protect the Quran from alteration, corruption or distortion. Historically, the scripture of the Quran has been subjected to various intense mathematically-based studies to reveal the protection mechanisms embedded in the composition of the Quran and to provide evidence of its credibility, authenticity and divinity. Indeed, this study has discovered a mathematical framework in the Quran based on gematria (Abjad numerals) that provides substantial evidence of Quran’s divine authorship and its perfect protection from human tampering. Essentially, this study has pro
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Krause, Merton S. "Trying to Discover Sufficient Condition Causes." Methodology 6, no. 2 (2010): 59–70. http://dx.doi.org/10.1027/1614-2241/a000007.

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Scientific human psychology is ultimately obligated to be able to describe, predict, and causally explain the psychological phenomena of every individual person. If all of this can be done in terms of the interrelations of linear combinations of variables, then our heavy reliance on statistical linear models will have been justified. But can it? The rather imperfect fits of such models to our data do not provide such justification, so perhaps more fundamental forms of data representation would be prudent to look into, given our modern computing capabilities. Such a form is offered in this pape
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Filipenko, A. "METHODOLOGICAL DISCOURSE IN ECONOMIC SCIENCE." ACTUAL PROBLEMS OF INTERNATIONAL RELATIONS, no. 132 (2017): 97–108. http://dx.doi.org/10.17721/apmv.2017.132.0.97-108.

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The article investigates the main approaches in the field of economic methodology. There are two methodological trends that emerged under the philosophy of science: naturalistic and constructivist. The first originates from Aristotle’s materialism, the second – from Plato’s ideas. Naturalized approaches eliminates distinction between the “context of discovery” and the “context of justification”. Constructivism related to cognitive methodological paradigm. It means that it is more sociological in nature, concerned with connections between individuals – with learning, inter-subjectivity, and soc
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Albert, Mélisande, Yann Bouret, Magalie Fromont, and Patricia Reynaud-Bouret. "Surrogate Data Methods Based on a Shuffling of the Trials for Synchrony Detection: The Centering Issue." Neural Computation 28, no. 11 (2016): 2352–92. http://dx.doi.org/10.1162/neco_a_00839.

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We investigate several distribution-free dependence detection procedures, all based on a shuffling of the trials, from a statistical point of view. The mathematical justification of such procedures lies in the bootstrap principle and its approximation properties. In particular, we show that such a shuffling has mainly to be done on centered quantities—that is, quantities with zero mean under independence—to construct correct p-values, meaning that the corresponding tests control their false positive (FP) rate. Thanks to this study, we introduce a method, named permutation UE, which consists of
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Sovilj, Ranko, and Sanja Stojković Zlatanović. "Pravne, socijalne i etičke implikacije editovanja humanog genoma primenom tehnologije CRISPR/Cas9." Anali Pravnog fakulteta u Beogradu 69, no. 3 (2021): 625–45. http://dx.doi.org/10.51204/anali_pfbu_21305a.

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Discovery of CRISPR/Cas9 technology produced a revolution in human medicine, because of the availability, efficiency and low cost, which has raised a number of questions. Given that by applying CRISPR/Cas9 technology we can program our future children and extend their life expectancy, question is whether we should allow it. The point of the paper is to determine the limits of legal admissibility and ethical justification of this procedure, considering contemporary legal theoretical views, ethical values and social significance. Using normative, comparative and sociological method the authors a
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Dissertations / Theses on the topic "Mathematical discovery and justification"

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Pease, Alison. "A computational model of Lakatos-style reasoning." Thesis, University of Edinburgh, 2007. http://hdl.handle.net/1842/2113.

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Lakatos outlined a theory of mathematical discovery and justification, which suggests ways in which concepts, conjectures and proofs gradually evolve via interaction between mathematicians. Different mathematicians may have different interpretations of a conjecture, examples or counterexamples of it, and beliefs regarding its value or theoremhood. Through discussion, concepts are refined and conjectures and proofs modified. We hypothesise that: (i) it is possible to computationally represent Lakatos's theory, and (ii) it is useful to do so. In order to test our hypotheses we have developed a c
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Martens, Rhonda M. "Kepler's archetypes in discovery and justification." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/nq28506.pdf.

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Marquis, Jean-Pierre. "On the justification of mathematical intuitionism." Thesis, McGill University, 1985. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=63350.

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Laurent, Sofie. "The mathematical justification of the Leontief and Sraffa input-output systems." Thesis, Uppsala universitet, Analys och sannolikhetsteori, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-374184.

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Stoyle, Keri L. "SUPPORTING MATHEMATICAL EXPLANATION, JUSTIFICATION, AND ARGUMENTATION, THROUGH MULTIMEDIA: A QUANTITATIVE STUDY OF STUDENT PERFORMANCE." Kent State University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=kent1460722361.

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Jin, Zengxiang, and 金增祥. "Price discovery in the property forward and spot markets." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2007. http://hub.hku.hk/bib/B38957759.

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Norén, G. Niklas. "Statistical methods for knowledge discovery in adverse drug reaction surveillance." Doctoral thesis, Stockholm University, Department of Mathematics, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-6764.

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<p>Collections of individual case safety reports are the main resource for early discovery of unknown adverse reactions to drugs once they have been introduced to the general public. The data sets involved are complex and based on voluntary submission of reports, but contain pieces of very important information. The aim of this thesis is to propose computationally feasible statistical methods for large-scale knowledge discovery in these data sets. The main contributions are a duplicate detection method that can reliably identify pairs of unexpectedly similar reports and a new measure for highl
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Ramsey, Joseph Daniel. "Expertise and mixture in automatic causal discovery /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2001. http://wwwlib.umi.com/cr/ucsd/fullcit?p3022219.

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Viswanathan, Murlikrishna. "Towards robust discovery systems." Monash University, School of Computer Science and Software Engineering, 2003. http://arrow.monash.edu.au/hdl/1959.1/9397.

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Melanson, William Jason. "Justified existential belief an investigation of the justifiability of believing in the existence of abstract mathematical objects /." Columbus, Ohio : Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1140465070.

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Books on the topic "Mathematical discovery and justification"

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SCHICKORE, JUTTA, and FRIEDRICH STEINLE, eds. Revisiting Discovery and Justification. Kluwer Academic Publishers, 2006. http://dx.doi.org/10.1007/1-4020-4251-5.

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L, Chance Beth, ed. Workshop statistics: Discovery with data. 4th ed. Wiley, 2012.

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J, Rossman Allan, ed. Workshop statistics: Discovery with data, a Bayesian approach. Key College Pub., 2001.

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Lakatos, Imre. Proofs and refutations: The logic of mathematical discovery. Cambridge University Press, 1991.

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Giovanni, Felici, and Vercellis Carlo, eds. Mathematical methods for knowledge discovery and data mining. Information Science Reference, 2007.

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Pólya, George. Mathematical discovery: On understanding, learning, and teaching problem solving. Ishi Press, 2009.

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Box, George E. P. Statistics for experimenters: Design, innovation, and discovery. 2nd ed. Wiley-Interscience, 2005.

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Franklin, Allan. The rise and fall of the "Fifth Force": Discovery, pursuit, and justification in modern physics. American Institute of Physics, 1993.

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Piegorsch, Walter W. Statistical data analytics: Foundations for data mining, informatics, and knowledge discovery. John Wiley & Sons Inc., 2015.

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Graphic discovery: A trout in the milk and other visual adventures. Princeton University Press, 2005.

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Book chapters on the topic "Mathematical discovery and justification"

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Franklin, Allan. "Discovery, Pursuit, and Justification." In Can that be Right? Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-5334-8_7.

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Liljedahl, Peter, and Darien Allan. "Mathematical Discovery." In Encyclopedia of Creativity, Invention, Innovation and Entrepreneurship. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-319-15347-6_376.

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Liljedahl, Peter, and Darien Allan. "Mathematical Discovery." In Encyclopedia of Creativity, Invention, Innovation and Entrepreneurship. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-3858-8_376.

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Liljedahl, Peter, and Darien Allan. "Mathematical Discovery." In Encyclopedia of Creativity, Invention, Innovation and Entrepreneurship. Springer New York, 2017. http://dx.doi.org/10.1007/978-1-4614-6616-1_376-2.

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Li, Wei. "Workflows for Scientific Discovery." In Mathematical Logic. Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-7643-9977-1_10.

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Anderson, Bruce. "The Problematic Nature of Discovery and Justification." In “Discovery” in Legal Decision-Making. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-017-0554-7_1.

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Clawson, Calvin C. "Discovery of the Number Sequence." In Mathematical Mysteries. Springer US, 1996. http://dx.doi.org/10.1007/978-1-4899-6080-1_2.

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Lannes, David. "Shallow water asymptotics: Systems. Part 2: Justification." In Mathematical Surveys and Monographs. American Mathematical Society, 2013. http://dx.doi.org/10.1090/surv/188/06.

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Kusuoka, Shigeo. "Gaussian K-scheme: justification for KLNV method." In Advances in Mathematical Economics. Springer Japan, 2013. http://dx.doi.org/10.1007/978-4-431-54324-4_3.

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Seo, Minwoo, and Hasok Chang. "Context of Discovery and Context of Justification." In Encyclopedia of Science Education. Springer Netherlands, 2015. http://dx.doi.org/10.1007/978-94-007-2150-0_239.

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Conference papers on the topic "Mathematical discovery and justification"

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O'Lone, Christopher E., Harpreet S. Dhillon, and R. Michael Buehrer. "A Mathematical Justification for Exponentially Distributed NLOS Bias." In GLOBECOM 2019 - 2019 IEEE Global Communications Conference. IEEE, 2019. http://dx.doi.org/10.1109/globecom38437.2019.9014211.

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Pamungkas, Magita Danang, Dwi Juniati, and Masriyah Masriyah. "Mathematical Justification Ability: Studentsr Divergent and Convergent Process in Justifying Quadrilateral." In Mathematics, Informatics, Science, and Education International Conference (MISEIC 2018). Atlantis Press, 2018. http://dx.doi.org/10.2991/miseic-18.2018.10.

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McCasland, Roy, and Alan Bundy. "MATHsAiD: A Mathematical Theorem Discovery Tool." In 2006 Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing. IEEE, 2006. http://dx.doi.org/10.1109/synasc.2006.51.

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Izmailov, Sergey, Julia Perevezentseva, Andrey Rotkov, Vladimir Beschastnov, Evgeniy Popov, and Egor Lukoyanychev. "Mathematical Justification of the Wound suturing by Wound Contractors of new Generation." In International Conference "Computing for Physics and Technology - CPT2020". Bryansk State Technical University, 2020. http://dx.doi.org/10.30987/conferencearticle_5fce2772128d09.10616351.

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Frequent cases of man-made disasters, terrorist attacks and military conflicts lead to an increase in the number of victims. Significant soft tissue defects are known to result from gunshot wounds. So, as a result of mine-blasting injuries, defects in the skin and underlying tissues more than 10 cm in diameter are formed in 71.1% of cases. The prerequisite for the uncomplicated course of the wound process is to achieve an adequate comparison of the edges of the wound without excessive tension. To close such extensive wounds, various technical means are used: sutures on pads, various types of d
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Miftahof, R., and N. Akhmadeev. "Mathematical modeling in drug discovery and development." In BIOMED 2007. WIT Press, 2007. http://dx.doi.org/10.2495/bio070301.

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Kobishchanov, V., D. Antipin, E. Chechulin, and K. Kolyasov. "Justification of technical solutions of intercar gangway based on solid-state mathematical modeling." In 2015 International Conference on Mechanical Engineering, Automation and Control Systems (MEACS). IEEE, 2015. http://dx.doi.org/10.1109/meacs.2015.7414893.

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Soga, Shota. "Mathematical Justification of the Staggered Test Scheme by a Time-Dependent Failure Model." In Proceedings of the 29th European Safety and Reliability Conference (ESREL). Research Publishing Services, 2020. http://dx.doi.org/10.3850/978-981-14-8593-0_3726-cd.

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Bazhenov, Oleg V. "Author’s Concept of Theoretical Justification Areas of Counter-terrorism. Economical based Logical-mathematical Models." In International Conference «Responsible Research and Innovation. Cognitive-crcs, 2017. http://dx.doi.org/10.15405/epsbs.2017.07.02.9.

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Mgebrishvili, Nikoloz, Guri Sharashenidze, Manana Moistsrapishvili, et al. "Mathematical Justification of the New Method of Determination of Wheel Pair’s and Rail’s Damage." In ASME 2009 Rail Transportation Division Fall Technical Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/rtdf2009-18007.

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Development of modern railways largely depends on the control of intactness of the wheel pairs and rails. It is impossible to ensure safety and increase the speed of railway traffic without providing such control. Detection of the wheel pairs’ and rails’ wear and damage is one of the key problems of railway science. Many scientific works are accomplished and lot of devices are elaborated in this field, but the mentioned problem still remains urgent. In order to increase the traffic safety, the group of authors has proposed a constructional scheme of the mobile device for detection of wheel pai
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Diaz-Gomez, Pedro A., and Dean F. Hougen. "Analysis and mathematical justification of a fitness function used in an intrusion detection system." In the 2005 conference. ACM Press, 2005. http://dx.doi.org/10.1145/1068009.1068274.

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Reports on the topic "Mathematical discovery and justification"

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Bailey, David H., and Jonathan M. Borwein. The Greatest Mathematical Discovery? Office of Scientific and Technical Information (OSTI), 2010. http://dx.doi.org/10.2172/983483.

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Fokin, Vladimir. Mathematical Modeling and Analysis of Mass Spectrometry Data in Workflows for the Discovery of Biomarkets in Breast Cancer. Defense Technical Information Center, 2008. http://dx.doi.org/10.21236/ada513471.

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