Academic literature on the topic 'Counting and numbers'

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Journal articles on the topic "Counting and numbers"

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Kortezov, Ivaylo. "Double Counting and Fibonacci Numbers." Mathematics and Informatics 67, no. 3 (2024): 336–50. https://doi.org/10.53656/math2024-3-7-dou.

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The article proposes a double counting method for proving combinatorial identities involving Fibonacci numbers. The method is easily remembered by the students. It allows them to apply it creatively in many situations, by (re)discovering the results by themselves and asking meaningful questions. The method is mainly oriented towards preparation for mathematical competitions.
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Bulley, Michael. "Counting Numbers." Cogito 4, no. 1 (1990): 41–47. http://dx.doi.org/10.5840/cogito19904114.

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De Koninck, Jean-Marie, and Florian Luca. "Counting the number of economical numbers." Publicationes Mathematicae Debrecen 68, no. 1-2 (2006): 97–113. http://dx.doi.org/10.5486/pmd.2006.3171.

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Goddard, Cliff. "The conceptual semantics of numbers and counting." Functions of Language 16, no. 2 (2009): 193–224. http://dx.doi.org/10.1075/fol.16.2.02god.

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This study explores the conceptual semantics of numbers and counting, using the natural semantic metalanguage (NSM) technique of semantic analysis (Wierzbicka 1996; Goddard & Wierzbicka (eds.) 2002). It first argues that the concept of a number in one of its senses (number1, roughly, “number word”) and the meanings of low number words, such as one, two, and three, can be explicated directly in terms of semantic primes, without reference to any counting procedures or practices. It then argues, however, that the larger numbers, and the productivity of the number sequence, depend on the conce
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Baumann, P. "Counting on numbers." Analysis 69, no. 3 (2009): 446–48. http://dx.doi.org/10.1093/analys/anp061.

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Lobeck, Martin A. "Counting the numbers." Nature 358, no. 6385 (1992): 365. http://dx.doi.org/10.1038/358365a0.

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Howard, P. J. A. "Counting the numbers." Nature 358, no. 6385 (1992): 365. http://dx.doi.org/10.1038/358365b0.

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Manitius, L. G. "Counting the numbers." Nature 358, no. 6385 (1992): 365. http://dx.doi.org/10.1038/358365c0.

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Hansell, D. P. "Counting the numbers." Nature 358, no. 6385 (1992): 365. http://dx.doi.org/10.1038/358365d0.

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De Koninck, J. M., N. Doyon, and I. Kátai. "Counting the number of twin Niven numbers." Ramanujan Journal 17, no. 1 (2008): 89–105. http://dx.doi.org/10.1007/s11139-008-9127-z.

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Dissertations / Theses on the topic "Counting and numbers"

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Magnusson, Tobias. "Counting Class Numbers." Thesis, KTH, Matematik (Avd.), 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-223643.

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The following thesis contains an extensive account of the theory of class groups. First the form class group is introduced through equivalence classes of certain integral binary quadratic forms with a given discriminant. The sets of classes is then turned into a group through an operation referred to as "composition''. Then the ideal class group is introduced through classes of fractional ideals in the ring of integers of quadratic fields with a given discriminant. It is then shown that for negative fundamental discriminants, the ideal class group and form class group are isomorphic. Some conc
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Di, Luca Samuel. "Interactions between fingers and numbers : towards finger numeral representations." Université catholique de Louvain, 2008. http://edoc.bib.ucl.ac.be:81/ETD-db/collection/available/BelnUcetd-05092008-160734/.

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The influence of finger-counting strategies (pointing, keep track, montring) on number representations is supported by several empirical facts. However, even the above mentioned strategies have been object of studies during childhood, little is known about how finger-counting could interact with the semantic representation of numbers in adulthood. To address this issue, we conducted a first experiment in which participants had to identify Arabic digits by pressing the keyboard with one between their ten fingers. Results showed that responses were faster and more accurate when the finger assign
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Johnson, Andrew, of Western Sydney Hawkesbury University, Faculty of Social Inquiry, and School of Ecology. "Crime, governance and numbers : a genealogy of counting crime in New South Wales." THESIS_FSI_SEL_Johnson_A.xml, 2000. http://handle.uws.edu.au:8081/1959.7/535.

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This thesis is an intellectual genealogy of counting crime in New South Wales. It is a history of a system of thought which is one of the contemporary foundations of the way we interpret the nature and extent of crime today. It argues that the incitement to annually record crime statistics in New South Wales, and internationally, is immediately connected with a will to govern crime. This thesis traces this bonding of the technology of crime statistics with mentalities of government, and maintains that although the connection of these two discourses has been highly effective, it has not been on
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Johnson, Andrew. "Crime, governance and numbers : a genealogy of counting crime in New South Wales." Thesis, View thesis, 2000. http://handle.uws.edu.au:8081/1959.7/535.

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This thesis is an intellectual genealogy of counting crime in New South Wales. It is a history of a system of thought which is one of the contemporary foundations of the way we interpret the nature and extent of crime today. It argues that the incitement to annually record crime statistics in New South Wales, and internationally, is immediately connected with a will to govern crime. This thesis traces this bonding of the technology of crime statistics with mentalities of government, and maintains that although the connection of these two discourses has been highly effective, it has not been on
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Johnson, Andrew. "Crime, governance and numbers : a genealogy of counting crime in New South Wales /." View thesis, 2000. http://library.uws.edu.au/adt-NUWS/public/adt-NUWS20030728.132436/index.html.

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Thesis (Ph.D.) -- University of Western Sydney, 2000.<br>A thesis submitted in fulfilment of the requirements for the degree of PhD, Department of Critical Social Sciences, University of Western Sydney, 2000. Bibliography : leaves 196-214.
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Sixtus, Elena [Verfasser], and Martin H. [Akademischer Betreuer] Fischer. "Subtle fingers – tangible numbers: The influence of finger counting experience on mental number representations / Elena Sixtus ; Betreuer: Martin H. Fischer." Potsdam : Universität Potsdam, 2018. http://d-nb.info/1218404140/34.

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PREVITALI, PAOLA. "Beyond numbers: the origin of spatial associations of ordinal information." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2012. http://hdl.handle.net/10281/28332.

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The great interest on the origin of space-number associations has motivated recent investigation on spatial compatibility effects (e.g., the SNARC effect) induced by over-learned non-numerical sequences (e.g., letters, months). The work included in the present thesis aims to contribute to our understanding of the determinants of the spatial mapping of ordinal information, including both numbers and other general series. Firstly, the increasing evidence of the link between finger counting and number processing has been considered, in particular the specific role of handedness on this interactio
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Henderson, Cory. "Exploring the Riemann Hypothesis." Kent State University / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=kent1371747196.

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Butler, Steven Kay. "Bounding the Number of Graphs Containing Very Long Induced Paths." Diss., CLICK HERE for online access, 2003. http://contentdm.lib.byu.edu/ETD/image/etd158.pdf.

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Andres, Michael. "Number and finger interactions : from the parietal to the motor cortex / Interactions entre les nombres et les doigts : du cortex pariétal au cortex moteur." Université catholique de Louvain, 2006. http://edoc.bib.ucl.ac.be:81/ETD-db/collection/available/BelnUcetd-03192006-125748/.

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The observations made in brain-lesioned patients and the result of functional brain imaging studies converge to the hypothesis that the posterior parietal cortex (PPC) is involved in calculation and number processing. However, if numerical disorders generally result from a left parietal lesion, the results of some brain imaging studies suggest that the right PPC could also play a role in number magnitude processing. In order to clarify this question, we used transcranial magnetic stimulation to induce a virtual lesion of the left or right PPC in healthy subjects while they performed number com
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Books on the topic "Counting and numbers"

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ill, Krey Elisa, ed. Numbers & counting. Scholastic, 2006.

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Artists, Disney Global, and Pixar (Firm), eds. Numbers. Random House, 2006.

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Schroeder, Pamela J. P. Numbers. Rourke Publications, 1996.

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Franco, Betsy. Counting and numbers. Creative Publications, 1987.

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Owen, Ruth. Numbers and counting. QEB Pub., 2011.

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Cato, Sheila. Counting and numbers. Carolrhoda Books, 1999.

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Owen, Ruth. Numbers and counting. QEB Pub., 2011.

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Shepherd, Rajean Luebs. Husker numbers: A Nebraska number book. Sleeping Bear Press, 2007.

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ill, Anderson Rick 1947, ed. Natural numbers: An Arkansas number book. Sleeping Bear Press, 2008.

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Huelin, Jodi. Counting animals: Discovering numbers and counting. HarperCollins Children's Books, 2010.

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Book chapters on the topic "Counting and numbers"

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Francis, John G., and Leslie P. Francis. "Counting Numbers." In Sustaining Surveillance: The Importance of Information for Public Health. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-63928-0_2.

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Flegg, Graham. "Counting Systems." In Numbers Through the Ages. Macmillan Education UK, 1989. http://dx.doi.org/10.1007/978-1-349-20177-8_2.

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Sane, Sharad S. "Advanced counting numbers." In Texts and Readings in Mathematics. Hindustan Book Agency, 2013. http://dx.doi.org/10.1007/978-93-86279-55-2_10.

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Perumal, P., N. Srivastava, Megha Pande, and S. K. Ghosh. "Counting Sperm Numbers." In Protocols in Semen Biology (Comparing Assays). Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-5200-2_7.

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Bradbury, Jennie. "Counting the Numbers." In Death and Burial within the Ancient Levant (4500-550 BCE). Routledge, 2025. https://doi.org/10.4324/9781003543138-4.

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Jones, Huw. "Numbers, Counting and Measuring." In Computer Graphics through Key Mathematics. Springer London, 2001. http://dx.doi.org/10.1007/978-1-4471-0297-7_2.

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Eccles, William J. "Numbers and Arithmetic: Counting 101." In Pragmatic Logic. Springer International Publishing, 2007. http://dx.doi.org/10.1007/978-3-031-79770-5_2.

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Nunes, Terezinha, and Peter Bryant. "Counting, adding and natural numbers." In Using Mathematics to Understand the World. Routledge, 2021. http://dx.doi.org/10.4324/9780429265815-2.

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Cerruti, Umberto. "Counting the Number of Solutions of Congruences." In Applications of Fibonacci Numbers. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-2058-6_9.

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Giaquinta, Mariano, and Giuseppe Modica. "Integer Numbers: Congruences, Counting and Infinity." In Mathematical Analysis. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-4414-7_3.

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Conference papers on the topic "Counting and numbers"

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Wang, Hsin-Po, and Chi-Wei Chin. "On Counting Subsequences and Higher-Order Fibonacci Numbers." In 2024 IEEE International Symposium on Information Theory (ISIT). IEEE, 2024. http://dx.doi.org/10.1109/isit57864.2024.10619178.

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Chairunnisa, Nadhifah, and Endah Sudarmilah. "Gamification of Counting Numbers for Slow Learner Children at Elementary School Using Dance Pad." In 2025 International Conference on Smart Computing, IoT and Machine Learning (SIML). IEEE, 2025. https://doi.org/10.1109/siml65326.2025.11080980.

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Kimoto, N., H. Hayashi, R. Nishigami, et al. "Pulse Pile-up Correction of Objects with Various Atomic Numbers for Clinical Applications Using a Photon Counting Detector." In 2024 IEEE Nuclear Science Symposium (NSS), Medical Imaging Conference (MIC) and Room Temperature Semiconductor Detector Conference (RTSD). IEEE, 2024. http://dx.doi.org/10.1109/nss/mic/rtsd57108.2024.10657930.

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Schapeler, Timon, Fabian Schlue, Michael Stefszky, Benjamin Brecht, Christine Silberhorn, and Tim J. Bartley. "Optimizing photon-number resolution with superconducting nanowire multi-photon detectors." In Advanced Photon Counting Techniques XIX, edited by Mark A. Itzler, K. Alex McIntosh, and Joshua C. Bienfang. SPIE, 2025. https://doi.org/10.1117/12.3054905.

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Burenkov, I. A., A. Semionov, and S. V. Polyakov. "Photon-Number-Counting-Enabled Super-Resolution Imaging." In CLEO: Applications and Technology. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/cleo_at.2024.jw2a.145.

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We experimentally demonstrate super-resolution of up to 3 overlapping pseudo-thermal optical modes. The supper-resolution is achieved by mode reconstruction of photon-number distributions for each pixel of the photon-number-resolving camera.
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Kumar, Anish, R. Mohit Sai Reddy, Sharath B, Laxmi V, and Mona. "Counting the Number of Potholes in a Video Sequence." In 2025 International Conference on Intelligent and Innovative Technologies in Computing, Electrical and Electronics (IITCEE). IEEE, 2025. https://doi.org/10.1109/iitcee64140.2025.10915533.

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Tóth, Jan, and Ondřej Kuželka. "Complexity of Weighted First-Order Model Counting in the Two-Variable Fragment with Counting Quantifiers: A Bound to Beat." In 21st International Conference on Principles of Knowledge Representation and Reasoning {KR-2023}. International Joint Conferences on Artificial Intelligence Organization, 2024. http://dx.doi.org/10.24963/kr.2024/64.

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We study the time complexity of weighted first-order model counting (WFOMC) over the logical language with two variables and counting quantifiers. The problem is known to be solvable in time polynomial in the domain size. However, the degree of the polynomial, which turns out to be relatively high for most practical applications, has never been properly addressed. First, we formulate a time complexity bound for the existing techniques for solving WFOMC with counting quantifiers. The bound is already known to be a polynomial with its degree depending on the number of cells of the input formula.
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Chen, Jessie, and Jakub Szefer. "Counting Bases from Number of Qubits: Inferring VRP from Quantum Circuits." In 2024 IEEE International Conference on Quantum Computing and Engineering (QCE). IEEE, 2024. https://doi.org/10.1109/qce60285.2024.00150.

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Krishnan, Abhirami, Elisabetta Avanzi, Laura Di Sieno, Alberto Dalla Mora, Antonio Pifferi, and Ilaria Bargigia. "Multiplying the number of effective channels in time-domain single-photon counting applications." In Optical Tomography and Spectroscopy of Tissue XVI, edited by Sergio Fantini and Paola Taroni. SPIE, 2025. https://doi.org/10.1117/12.3043248.

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Liu, Mingxi, Xinze Zhang, and Yiran Han. "Intelligent Counting System for Classroom Numbers Based on Video Surveillance." In 2020 IEEE International Conference on Power, Intelligent Computing and Systems (ICPICS). IEEE, 2020. http://dx.doi.org/10.1109/icpics50287.2020.9201999.

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Reports on the topic "Counting and numbers"

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Jones, Landon R., Jared A. Elmore, B. S. Krishnan, et al. Dataset for Controllable factors affecting accuracy and precision of human identification of animals from drone imagery. Mississippi State University, 2023. http://dx.doi.org/10.54718/xblo5500.

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Dataset from the results of an experiment to determine how three controllable factors, flight altitude, camera angle, and time of day, affect human identification and counts of animals from drone images to inform best practices to survey animal communities with drones. We used a drone (unoccupied aircraft system, or UAS) to survey known numbers of eight animal decoy species, representing a range of body sizes and colors, at four GSD (ground sampling distance) values (0.35, 0.70, 1.06, 1.41 cm/pixel) representing equivalent flight altitudes (15.2, 30.5, 45.7, 61.0 m) at two camera angles (45° a
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Johnson, Kenneth. Deaths Exceed Births in Record Number of U.S. Counties. University of New Hampshire Libraries, 2013. http://dx.doi.org/10.34051/p/2020.191.

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Baader, Franz, Pavlos Marantidis, and Alexander Okhotin. Approximately Solving Set Equations. Technische Universität Dresden, 2016. http://dx.doi.org/10.25368/2022.227.

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Unification with constants modulo the theory ACUI of an associative (A), commutative (C) and idempotent (I) binary function symbol with a unit (U) corresponds to solving a very simple type of set equations. It is well-known that solvability of systems of such equations can be decided in polynomial time by reducing it to satisfiability of propositional Horn formulae. Here we introduce a modified version of this problem by no longer requiring all equations to be completely solved, but allowing for a certain number of violations of the equations. We introduce three different ways of counting the
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McMaughan, Darcy, Ifedioranma O. Anikpo, Scott Horel, and Jennifer Ozmetin. Post-Acute Skilled Nursing Care Availability in Rural United States. Southwest Rural Health Research Center, Texas A&M School of Public Health, 2020. http://dx.doi.org/10.21423/1969.1/201261.

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This study explores factors related to post-acute skilled nursing care utilization in rural areas of the U.S. The analyses uses county-level Area Health Resource Files, National Center for Health Statistics Urban-Rural codes, and data from the Flex Monitoring Team database. We found counties lacking post-acute skilled nursing care were more likely to be noncore, sparsely populated, and less impoverished counties. The elderly population percentage, number of hospitals with high utilization rates, and Hispanic population percentage were not significantly associated with the availability of post-
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Chung, Steve, Jaymin Kwon, and Yushin Ahn. Forecasting Commercial Vehicle Miles Traveled (VMT) in Urban California Areas. Mineta Transportation Institute, 2024. http://dx.doi.org/10.31979/mti.2024.2315.

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This study investigates commercial truck vehicle miles traveled (VMT) across six diverse California counties from 2000 to 2020. The counties—Imperial, Los Angeles, Riverside, San Bernardino, San Diego, and San Francisco—represent a broad spectrum of California’s demographics, economies, and landscapes. Using a rich dataset spanning demographics, economics, and pollution variables, we aim to understand the factors influencing commercial VMT. We first visually represent the geographic distribution of the counties, highlighting their unique characteristics. Linear regression models, particularly
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Ross, Elizabeth, Gregory Pogue, Jill Engel-Cox, and Thushara Gunda. Community Archetypes in the Permian Basin and their Relationship to Energy Resources. Permian Energy Development Lab, 2024. http://dx.doi.org/10.70223/aftg267.

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The Permian Energy Development Lab (PEDL) is a new research coalition in West Texas and Southeastern New Mexico, managed by a consortium of higher education, public sector, civic, community, and philanthropic organizations . PEDL’s mission is to catalyze advanced energy research, prepare new energy professionals and entrepreneurs, and create value for energy communities. To meet the three parts of this mission, a comprehensive facts-based understanding of the diverse communities within the large Permian region, not relying on impressions or preconceptions, is essential. Therefore, this report
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Jiang, Jerry, and Jacob P. Weber. Who Collaborates with the Soviets? Financial Distress and Technology Transfer During the Great Depression. Federal Reserve Bank of New York, 2024. http://dx.doi.org/10.59576/sr.1134.

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We provide evidence that financial distress induces firms to sell their technology to foreign competitors. To do so, we construct a novel, spatial panel dataset by individually researching and locating U.S. firms who signed Technology Transfer Agreements (TTAs) with the Soviet Union during the 1920s and 1930s in various U.S. counties. By relating the number of TTAs signed in each county to the number of bank failures, we establish a significant, positive relationship between financial distress and the number of firms signing TTAs with the Soviet Union. Our findings suggest that banking panics
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McKean, Adam P., and Zachary W. Anderson. Interim Geologic Map of the Salt Lake City North Quadrangle, Salt Lake and Davis Counties, Utah. Utah Geological Survey, 2024. http://dx.doi.org/10.34191/ofr-768dm.

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The Salt Lake City North 7.5′ quadrangle is located in Salt Lake and Davis Counties from downtown Salt Lake City on the east to the Salt Lake International Airport on the west and extends north into Davis County to include the southern parts of the City of Bountiful and City of Woods Cross. The southern boundary of the quadrangle is at approximately 900 South Street in Salt Lake City. The quadrangle contains downtown Salt Lake City, the State Capitol building, the City of North Salt Lake, agricultural land, a number of oil refineries, a part of the Farmington Bay Waterfowl Management Area, and
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Gandelman, Néstor, Flavia Roldán, and Sofía Viera. An Examination of Numerical Portability in Mobile Communication in Uruguay. Inter-American Development Bank, 2025. https://doi.org/10.18235/0013380.

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This paper examines the effects of the introduction of mobile number portability (MNP) using data from Uruguay. MNP allows customers to switch mobile providers while retaining their phone number, thereby reducing switching costs and potentially enhancing competition. Our analysis reveals that firms responded by increasing the share of postpaid contracts, partially countering the exogenous reduction in switching costs with new endogenous barriers. We find that while market concentration increased in terms of subscriber share, it decreased for data traffic, reflecting differing customer behavior
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Waanders, Gerald. Palynology Evaluation Results From the Duchesne 30' x 60' Quadrangle, Duchesne and Wasatch Counties, Utah. Utah Geological Survey, 2023. http://dx.doi.org/10.34191/ofr-750.

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This Open-File Report makes available data from palynology evaluations completed to determine the age and depositional environment of rock samples collected during geologic investigations funded or partially supported by the Utah Geological Survey (UGS) and the U.S. Geological Survey National Cooperative Geologic Mapping Program (STATEMAP). Table 1 provides the sample numbers and locations for the palynology data. The reference listed in table 1 provides additional information such as sample location, geologic setting, and interpretation of the samples in the context of the area where they wer
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