Academic literature on the topic 'Theta series'

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Journal articles on the topic "Theta series"

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von Köhler, G. "Theta series on the theta group." Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 58, no. 1 (1988): 15–45. http://dx.doi.org/10.1007/bf02941367.

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Peters, M. "Jacobi theta series." Rocky Mountain Journal of Mathematics 19, no. 3 (1989): 863–70. http://dx.doi.org/10.1216/rmj-1989-19-3-863.

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Freitag, Eberhard, and Riccardo Salvati Manni. "Octavic theta series." Asian Journal of Mathematics 21, no. 3 (2017): 483–98. http://dx.doi.org/10.4310/ajm.2017.v21.n3.a4.

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Andrianov, A. N. "SPHERICAL THETA SERIES." Mathematics of the USSR-Sbornik 62, no. 2 (1989): 289–304. http://dx.doi.org/10.1070/sm1989v062n02abeh003241.

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Colombo, Fabrizio, Rolf Krausshar, and Irene Sabadini. "Slice monogenic theta series." Indiana University Mathematics Journal 73, no. 6 (2024): 2039–71. https://doi.org/10.1512/iumj.2024.73.60085.

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Chu, Wenchang, and Cangzhi Jia. "Quartic theta hypergeometric series." Ramanujan Journal 32, no. 1 (2013): 23–81. http://dx.doi.org/10.1007/s11139-012-9414-6.

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KRIEG, ALOYS. "THETA SERIES OVER THE HURWITZ QUATERNIONS." International Journal of Number Theory 06, no. 01 (2010): 25–36. http://dx.doi.org/10.1142/s1793042110002788.

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There are six theta constants over the Hurwitz quaternions on the quaternion half-space of degree 2. The paper describes the behavior of these theta constants under the transpose mapping, which can be derived from the Fourier expansions. The results are applied to the theta series of the first and second kind.
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Pál, Ambrus. "Theta Series, Eisenstein Series and Poincaré Series over Function Fields." Canadian Journal of Mathematics 56, no. 2 (2004): 406–30. http://dx.doi.org/10.4153/cjm-2004-019-1.

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Chen, Bin. "On the dual nature theory of bilateral series associated to mock theta functions." International Journal of Number Theory 14, no. 01 (2017): 63–94. http://dx.doi.org/10.1142/s1793042118500069.

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In recent work, Hickerson and Mortenson introduced a dual notion between Appell–Lerch sums and partial theta functions. In this sense, Appell–Lerch sums and partial theta functions appear to be dual to each other. In this paper, by making the substitution [Formula: see text] in the tail of the associated bilateral series of mock theta functions and universal mock theta functions, we demonstrate how to obtain duals of the second type in terms of Appell–Lerch sums defined by Mortenson for such functions. Then by using the substitution [Formula: see text] in duals of the second type of each bilat
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Duverney, Daniel, Keiji Nishioka, Kumiko Nishioka, and Iekata Shiokawa. "Transcendence of Jacobi's theta series." Proceedings of the Japan Academy, Series A, Mathematical Sciences 72, no. 9 (1996): 202–3. http://dx.doi.org/10.3792/pjaa.72.202.

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Dissertations / Theses on the topic "Theta series"

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Fiorucci, José Augusto. "Time series forecasting : advances on Theta method." Universidade Federal de São Carlos, 2016. https://repositorio.ufscar.br/handle/ufscar/7399.

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Submitted by Caroline Periotto (carol@ufscar.br) on 2016-09-21T14:53:55Z No. of bitstreams: 1 TeseJAF.pdf: 1812104 bytes, checksum: 817ececd9c05df0ddae3a91de3c8bb14 (MD5)<br>Approved for entry into archive by Marina Freitas (marinapf@ufscar.br) on 2016-09-23T18:27:05Z (GMT) No. of bitstreams: 1 TeseJAF.pdf: 1812104 bytes, checksum: 817ececd9c05df0ddae3a91de3c8bb14 (MD5)<br>Approved for entry into archive by Marina Freitas (marinapf@ufscar.br) on 2016-09-23T18:27:11Z (GMT) No. of bitstreams: 1 TeseJAF.pdf: 1812104 bytes, checksum: 817ececd9c05df0ddae3a91de3c8bb14 (MD5)<br>Made available in
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Kim, Myung-Hwan. "Higher degree theta-series and representations of quadratic forms /." The Ohio State University, 1985. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487261919112114.

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Nicole, Marc-Hubert. "Superspecial abelian varieties, theta series and the Jacquet-Langlands correspondence." Thesis, McGill University, 2005. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=85946.

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Let Ei, i = 1, ..., n, be all the supersingular elliptic curves over Fp up to isomorphism. The modules of isogenies Hom(Ei, Ej), equipped with the degree map, are quadratic modules that give rise to theta series of level p. The space of modular forms of weight two for Gamma0(p) is thus spanned by the theta series coming from supersingular elliptic curves in this fashion. We generalize this classical result to Hilbert modular forms by showing that for totally real fields L of narrow class number one, the space of Hilbert modular newforms of parallel weight 2 for Gamma0( p), p unramified,
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Breitenbucher, Jon W. "Third order mock theta functions for multivariable symplectic hypergeometric series /." The Ohio State University, 2001. http://rave.ohiolink.edu/etdc/view?acc_num=osu1486394475981188.

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Kume, Takahiro. "Calculation of traces of theta series by means of the Weil representation." 京都大学 (Kyoto University), 1998. http://hdl.handle.net/2433/182454.

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Völz, Fabian [Verfasser], Jan H. [Akademischer Betreuer] Bruinier, and Anna-Maria von [Akademischer Betreuer] Pippich. "Realizing Hyperbolic and Elliptic Eisenstein Series as Regularized Theta Lifts / Fabian Völz ; Jan H. Bruinier, Anna-Maria von Pippich." Darmstadt : Universitäts- und Landesbibliothek Darmstadt, 2018. http://d-nb.info/1171988125/34.

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Dittmann, Moritz Christopher [Verfasser], Nils [Akademischer Betreuer] Scheithauer, Martin [Akademischer Betreuer] Möller, and Manni Riccardo [Akademischer Betreuer] Salvati. "Reflective Automorphic Forms and Siegel Theta Series for Niemeier Lattices / Moritz Christopher Dittmann ; Nils Scheithauer, Martin Möller, Riccardo Salvati Manni." Darmstadt : Universitäts- und Landesbibliothek Darmstadt, 2018. http://d-nb.info/1170872727/34.

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Pellegrini, Tiago Ribeiro. "Uma avaliação de métodos de previsão aplicados à grandes quantidades de séries temporais univariadas." Universidade Federal de São Carlos, 2012. https://repositorio.ufscar.br/handle/ufscar/4563.

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Made available in DSpace on 2016-06-02T20:06:07Z (GMT). No. of bitstreams: 1 4757.pdf: 552745 bytes, checksum: 4f9bf1ad04dfca4e80bbfdf36c909f6f (MD5) Previous issue date: 2012-12-06<br>Financiadora de Estudos e Projetos<br>Time series forecasting is probably one of the most primordial interests on economics and econometrics, and the literature on this subject is extremely vast. Due to technological growth in recent decades, large amounts of time series are daily collected; which, in a first moment, it requires forecasts according a fixed horizon; and on the second moment the forecasts must b
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Petrykiewicz, Izabela. "Propriétés analytiques et diophantiennes de certaines séries de Fourier arithmétiques." Thesis, Grenoble, 2014. http://www.theses.fr/2014GRENM031/document.

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Nous considérons certaines séries de Fourier liées à la théorie des formes modulaires. Nous étudions leurs propriétés analytiques : la dérivabilité, le module de continuité et l'exposant de Hölder. Nous utilisons deux méthodes différentes. La première revient à trouver et itérer une équation fonctionnelle de la fonction étudiée (méthode d'Itatsu) et la deuxième provient de l'analyse en ondelettes (méthode de Jaffard). L'étape essentielle de chacune dépend de la modularité sous-jacente. Nous trouvons que les propriétés analytiques de ces séries aux points irrationnels sont liées aux propriétés
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Ghidelli, Luca. "On Gaps Between Sums of Powers and Other Topics in Number Theory and Combinatorics." Thesis, Université d'Ottawa / University of Ottawa, 2020. http://hdl.handle.net/10393/40014.

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One main goal of this thesis is to show that for every K it is possible to find K consecutive natural numbers that cannot be written as sums of three nonnegative cubes. Since it is believed that approximately 10% of all natural numbers can be written in this way, this result indicates that the sums of three cubes distribute unevenly on the real line. These sums have been studied for almost a century, in relation with Waring's problem, but the existence of ``arbitrarily long gaps'' between them was not known. We will provide two proofs for this theorem. The first is relatively elementary and is
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Books on the topic "Theta series"

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Freitag, E. Singular modular forms and Theta relations. Springer-Verlag, 1991.

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Aiyangar, Srinivasa Ramanujan. The lost notebook and other unpublished papers. Narosa Pub. House, 1988.

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Köhler, Günter. Eta Products and Theta Series Identities. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-16152-0.

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1957-, Adiga C., ed. Chapter 16 of Ramanujan's second notebook: Theta functions and q-series. American Mathematical Society, 1985.

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Chuang, Chih-Yun. Brandt matrices and theta series over global function fields. American Mathematical Society, 2015.

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Andrews, George E. Ramanujan's Lost Notebook: Part II. Springer-Verlag New York, 2009.

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Seifert, Ulrich. Qualitätssicherung: Ein Thema für Betriebsräte. BTQ-Hamburg, 1995.

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Armstrong, Richard B. The movie list book: A reference guide to film themes, settings, and series. McFarland & Co., 1990.

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Stilton, Gerónimo. Thea Stilton and the Missing Myth: Thea Stilton - 20. Scholastic, Incorporated, 2014.

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ill, Bono Fabio, ed. Thea Stilton and the Dragon's Code: Thea Stilton - 1. Scholastic, 2009.

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Book chapters on the topic "Theta series"

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Andrianov, Anatolij N. "Theta-Series." In Grundlehren der mathematischen Wissenschaften. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-70341-6_1.

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Krieg, Aloys. "Theta-series." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0075950.

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Koecher, Max, and Aloys Krieg. "Theta series." In Universitext. Springer Berlin Heidelberg, 2025. https://doi.org/10.1007/978-3-662-71224-5_5.

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Spiridonov, V. P. "Theta Hypergeometric Series." In Asymptotic Combinatorics with Application to Mathematical Physics. Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-010-0575-3_15.

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Cooper, Shaun. "Ramanujan’s Series for 1∕π." In Ramanujan's Theta Functions. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-56172-1_15.

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Köhler, Günter. "Theta Series with Hecke Character." In Springer Monographs in Mathematics. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-16152-0_5.

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Freitag, Eberhard. "Theta series with polynomial coefficients." In Singular Modular Forms and Theta Relations. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0093832.

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Berndt, Bruce C. "q-Series and Theta-Functions." In Ramanujan’s Notebooks. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-0965-2_2.

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Freitag, Eberhard. "Singular modular forms and theta series." In Singular Modular Forms and Theta Relations. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0093834.

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Chenevier, Gaëtan, and Jean Lannes. "Theta Series and Even Unimodular Lattices." In Automorphic Forms and Even Unimodular Lattices. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-319-95891-0_5.

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Conference papers on the topic "Theta series"

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Parvez, Alfia, and Arshia Khan. "Exploring the Role of Theta-Gamma Coupling in Working Memory Tasks: A Study on N-Back, Digit Span, and Corsi Span Performance." In 2024 IEEE International Conference on E-health Networking, Application & Services (HealthCom). IEEE, 2024. https://doi.org/10.1109/healthcom60970.2024.10880802.

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KATSURADA, HIDENORI, and RAINER SCHULZE-PILLOT. "GENUS THETA SERIES, HECKE OPERATORS AND THE BASIS PROBLEM FOR EISENSTEIN SERIES." In Proceedings of the Conference in Memory of Tsuneo Arakawa. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774415_0011.

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Jatnika, Ratna, and Mustofa Haffas. "UNIVERSITAS PADJADJARAN STATISTICAL ANALYSIS SERIES: THETA, ETA, AND JASPEN CORRELATION." In International Technology, Education and Development Conference. IATED, 2016. http://dx.doi.org/10.21125/iceri.2016.1846.

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Bhattacharyya, Arinjita, Swarup Chattopadhyay, Monalisha Pattnaik, and Tanujit Chakraborty. "Theta Autoregressive Neural Network: A Hybrid Time Series Model for Pandemic Forecasting." In 2021 International Joint Conference on Neural Networks (IJCNN). IEEE, 2021. http://dx.doi.org/10.1109/ijcnn52387.2021.9533747.

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HASHIMOTO, KI-ICHIRO. "TYPE NUMBERS AND LINEAR RELATIONS OF THETA SERIES FOR SOME GENERAL ORDERS OF QUATERNION ALGEBRAS." In Proceedings of the Conference in Memory of Tsuneo Arakawa. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774415_0005.

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Osborne, Alfred R. "Theory of Nonlinear Fourier Analysis: The Construction of Quasiperiodic Fourier Series for Nonlinear Wave Motion." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-18850.

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Abstract I give a description of nonlinear water wave dynamics using a recently discovered tool of mathematical physics I call nonlinear Fourier analysis (NLFA). This method is based upon and is an application of a theorem due to Baker [1897, 1907] and Mumford [1984] in the field of algebraic geometry and from additional sources by the author [Osborne, 2010, 2018, 2019]. The theory begins with the Kadomtsev-Petviashvili (KP) equation, a two dimensional generalization of the Korteweg-deVries (KdV) equation: Here the NLFA method is derived from the complete integrability of the equation by finit
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Kim, Woo-Gon, Jae-Young Park, Sung-Ho Kim, and Chan-Bock Lee. "Long-Term Creep Modeling of Modified 9Cr-1Mo Steel for a Sodium Cooled Fast Reactor." In ASME 2010 Pressure Vessels and Piping Division/K-PVP Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/pvp2010-25313.

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This paper focused on long-term creep modeling for describing total creep curves of up to rupture for modified 9Cr-1Mo steel (G91). Creep data was obtained by a series of constant-load creep tests at 600°C. Three modified constitutive equations of modified power-law method (MPM), modified theta method (MTM) and modified omega method (MOM), described as a sum of a decaying primary creep and an accelerating tertiary creep, were proposed. A nonlinear least square fitting (NLSF) analysis was carried out on the basis of the creep data so that they provide the best fit to experimental data in optimi
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Brethe, Jean-Francois, Anas Hijazi, and Dimitri Lefebvre. "Innovative XY-theta platform held by a serial redundant arm." In 2013 IEEE 11th International Workshop of Electronics, Control, Measurement, Signals and their application to Mechatronics (ECMSM). IEEE, 2013. http://dx.doi.org/10.1109/ecmsm.2013.6648955.

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Lin, Koong H. C., and Von-Wun Soon. "Hypothesis scoring over theta grids information in parsing Chinese sentences with serial verb constructions." In the 15th conference. Association for Computational Linguistics, 1994. http://dx.doi.org/10.3115/991250.991300.

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Wu, Nan, Kaiyan Liu, Ruizhi Cheng, Bo Han, and Puqi Zhou. "Theia: Gaze-driven and Perception-aware Volumetric Content Delivery for Mixed Reality Headsets." In MOBISYS '24: 22nd Annual International Conference on Mobile Systems, Applications and Services. ACM, 2024. http://dx.doi.org/10.1145/3643832.3661858.

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Reports on the topic "Theta series"

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Franke, Lara. Medienbegleitbücher für Kinder und Jugendliche : Stellung im Markt und in der Leseförderung. Institut für Jugendbuchforschung der Goethe-Universität Frankfurt am Main, 2024. http://dx.doi.org/10.21248/gups.79617.

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Kinder und Jugendliche beschäftigen sich gerne mit audiovisuellen, auditiven und interaktiven Medien. Das Buch gerät im Mediengeflecht zunehmend in den Hintergrund. Um für die junge Zielgruppe attraktiv zu sein, setzen Verlage auf Bücher, die Themen, Geschichten und Darstellungsweisen aus anderen Medien aufgreifen. Dazu gehören auch die sogenannten Medienbegleitbücher, die in Bezug zu einem Film, einer Serie, einem Hörspiel oder einem digitalen Spiel stehen. Diese Bücher ermöglichen Kindern aufgrund der bereits bekannten Geschichten, Charaktere und Dialoge einen erleichterten Zugang zu Literat
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Coastal Lidar And Radar Imaging System (CLARIS) mobile terrestrial lidar survey along the Outer Banks, North Carolina in Currituck and Dare counties. Coastal and Hydraulics Laboratory (U.S.), 2020. http://dx.doi.org/10.21079/11681/39419.

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The Coastal Observation and Analysis Branch (COAB) located at the Field Research Facility (FRF) conducts quarterly surveys and post-storm surveys along up to 60 kilometers of coastline within the vicinity of the FRF to assess, evaluate, and provide updated observations of the morphology of the foreshore and dune system. The surveys are conducted using a mobile terrestrial LiDAR scanner coupled with an Inertial Navigation System (INS). Traditionally the surveys coincide with a low tide, exposing the widest swath of visible sediment to the scanner as well as enough wind-sea swell or texture to i
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Coastal Lidar And Radar Imaging System (CLARIS) mobile terrestrial lidar survey along the Outer Banks, North Carolina in Currituck and Dare counties. Coastal and Hydraulics Laboratory (U.S.), 2020. http://dx.doi.org/10.21079/11681/39419.

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The Coastal Observation and Analysis Branch (COAB) located at the Field Research Facility (FRF) conducts quarterly surveys and post-storm surveys along up to 60 kilometers of coastline within the vicinity of the FRF to assess, evaluate, and provide updated observations of the morphology of the foreshore and dune system. The surveys are conducted using a mobile terrestrial LiDAR scanner coupled with an Inertial Navigation System (INS). Traditionally the surveys coincide with a low tide, exposing the widest swath of visible sediment to the scanner as well as enough wind-sea swell or texture to i
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EEG data might help identify children at risk for social anxiety. ACAMH, 2021. http://dx.doi.org/10.13056/acamh.15048.

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Electroencephalography (EEG) is a non-invasive method to monitor the electrical activity of the brain. There are five main broad frequency bands in the EEG power spectrum: alpha, beta, gamma, delta and theta. Data suggest that EEG-derived delta–beta coupling — indicating related activity in the delta and beta frequency bands — might serve as a marker of emotion regulation.
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