Academic literature on the topic 'Moduli of curves'

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Journal articles on the topic "Moduli of curves"

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Errthum, Eric. "Singular Moduli of Shimura Curves." Canadian Journal of Mathematics 63, no. 4 (2011): 826–61. http://dx.doi.org/10.4153/cjm-2011-023-7.

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Abstract The j-function acts as a parametrization of the classical modular curve. Its values at complex multiplication (CM) points are called singular moduli and are algebraic integers. A Shimura curve is a generalization of the modular curve and, if the Shimura curve has genus 0, a rational parameterizing function exists and when evaluated at a CM point is again algebraic over Q. This paper shows that the coordinate maps given by N. Elkies for the Shimura curves associated to the quaternion algebras with discriminants 6 and 10 are Borcherds lifts of vector-valued modular forms. This property
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Ballico, Edoardo, Cinzia Casagrande, and Claudio Fontanari. "Moduli of Prym curves." Documenta Mathematica 9 (2004): 265–81. http://dx.doi.org/10.4171/dm/167.

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Ciliberto, Ciro. "projective curves with general moduli." Duke Mathematical Journal 55, no. 4 (1987): 909–17. http://dx.doi.org/10.1215/s0012-7094-87-05545-1.

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Abramovich, Dan, and Tyler J. Jarvis. "Moduli of twisted spin curves." Proceedings of the American Mathematical Society 131, no. 3 (2002): 685–99. http://dx.doi.org/10.1090/s0002-9939-02-06562-0.

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Ciliberto, Ciro. "Book Review: Moduli of curves." Bulletin of the American Mathematical Society 36, no. 04 (1999): 499–504. http://dx.doi.org/10.1090/s0273-0979-99-00791-0.

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Pacini, Marco. "Compactifying moduli of hyperelliptic curves." Rendiconti del Circolo Matematico di Palermo 56, no. 2 (2007): 157–70. http://dx.doi.org/10.1007/bf03031436.

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Hacking, Paul. "Compact moduli of plane curves." Duke Mathematical Journal 124, no. 2 (2004): 213–57. http://dx.doi.org/10.1215/s0012-7094-04-12421-2.

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van Opstall, Michael A. "Moduli of products of curves." Archiv der Mathematik 84, no. 2 (2005): 148–54. http://dx.doi.org/10.1007/s00013-004-1045-8.

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Buff, Xavier, Adam L. Epstein, and Sarah Koch. "Prefixed curves in moduli space." American Journal of Mathematics 144, no. 6 (2022): 1485–509. http://dx.doi.org/10.1353/ajm.2022.0036.

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Polishchuk, Alexander. "Moduli of curves as moduli of $A_{\infty}$ -structures." Duke Mathematical Journal 166, no. 15 (2017): 2871–924. http://dx.doi.org/10.1215/00127094-2017-0019.

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Dissertations / Theses on the topic "Moduli of curves"

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Ludwig, Katharina. "Moduli of spin curves." [S.l.] : [s.n.], 2007. http://deposit.ddb.de/cgi-bin/dokserv?idn=985261056.

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Errthum, Eric Francis. "Singular moduli of Shimura curves." College Park, Md. : University of Maryland, 2007. http://hdl.handle.net/1903/6785.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2007.<br>Thesis research directed by: Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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Shadrin, Sergei. "Intersections on moduli spaces of curves." Doctoral thesis, Stockholm University, Department of Mathematics, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-238.

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<p>We present a new approach to perform calculations with the certain standard classes in cohomology of the moduli spaces of curves. It is based on an important lemma of Ionel relating the intersection theoriy of the moduli space of curves and that of the space of admissible coverings. As particular results, we obtain expressions of Hurwitz numbers in terms of the intersections in the tautological ring, expressions of the simplest intersection numbers in terms of Hurwitz numbers, an algorithm of calculation of certain correlators which are the subject of the Witten conjecture, an improved algo
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Hitching, George H. "Moduli of symplectic bundles over curves." Thesis, Durham University, 2005. http://etheses.dur.ac.uk/2351/.

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Let Х be a complex projective smooth irreducible curve of genus g. We begin by giving background material on symplectic vector bundles and principal bundles over X and introduce the moduli spaces we will be studying, In Chapter 2 we describe the stable singular locus and semistable boundary of the moduli space Mx(Sp2 C) of semistable principal Sp2 C-bundles over X. In Chapter 3 we give results on symplectic extensions and Lagrangian subbundles. In Chapter 4, we assemble some results on vector bundles of rank 2 and degree 1 over a curve of genus 2, which are needed in what follows. Chapter 5 de
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Phillips, Andrew. "Moduli of CM False Elliptic Curves." Thesis, Boston College, 2015. http://hdl.handle.net/2345/bc-ir:104142.

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Thesis advisor: Benjamin Howard<br>We study two moduli problems involving false elliptic curves with complex multiplication (CM), generalizing theorems about the arithmetic degree of certain moduli spaces of CM elliptic curves. The first moduli problem generalizes a space considered by Howard and Yang, and the formula for its arithmetic degree can be seen as a calculation of the intersection multiplicity of two CM divisors on a Shimura curve. This formula is an extension of the Gross-Zagier theorem on singular moduli to certain Shimura curves. The second moduli problem we consider deals with s
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Tavakol, Mehdi. "Tautological Rings of Moduli Spaces of Curves." Doctoral thesis, KTH, Matematik (Inst.), 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-34310.

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The purpose of this thesis is to study tautological rings of moduli spaces of curves. The moduli spaces of curves play an important role in algebraic geometry. The study of algebraic cycles on these spaces was started by Mumford. He introduced the notion of tautological classes on moduli spaces of curves. Faber and Pandharipande have proposed several deep conjectures about the structure of the tautological algebras. According to the Gorenstein conjectures these algebras satisfy a form of Poincaré duality. The thesis contains three papers. In paper I we compute the tautological ring of the modu
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Tarasca, Nicola. "Geometric cycles on moduli spaces of curves." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2012. http://dx.doi.org/10.18452/16518.

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Ziel dieser Arbeit ist die explizite Berechnung gewisser geometrischer Zykel in Modulräumen von Kurven. In den letzten Jahren wurden Divisoren auf $\Mbar_{g,n}$ ausgiebig untersucht. Durch die Berechnung von Klassen in Kodimension 1 konnten wichtige Ergebnisse in der birationalen Geometrie der Räume $\Mbar_{g,n}$ erzielt werden. In Kapitel 1 geben wir einen Überblick über dieses Thema. Im Gegensatz dazu sind Klassen in Kodimension 2 im Großen und Ganzen unerforscht. In Kapitel 2 betrachten wir den Ort, der im Modulraum der Kurven vom Geschlecht 2k durch die Kurven mit einem Büschel vom Grad
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Bruns, Gregor. "Divisors on moduli spaces of level curves." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2017. http://dx.doi.org/10.18452/17674.

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In dieser Arbeit untersuchen wir drei Fragestellungen. Zwei beschäftigen sich mit Divisoren auf Modulräumen von Kurven mit Levelstruktur, die dritte handelt von Stabilitätseigenschaften der Normalenbündel von kanonischen Kurven. Die erste Frage, die in Kapitel 2 studiert wird, beschäftigt sich mit der Kodairadimension des Modulraums R15,2 von Prym-Varietäten vom Geschlecht 15. Wir studieren einen neuen Divisor auf diesem Modulraum und berechnen seine Klasse in der Standardbasis der Picardgruppe. Mit Hilfe dieser Klasse können wir schlussfolgern, dass R15,2 von allgemeinem Typ ist. In Kap
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Camara, Malick. "Tautological rings of moduli spaces of curves." Thesis, Paris 6, 2016. http://www.theses.fr/2016PA066459.

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Les espaces de modules de Riemann répondent au problème de la classification des surfaces de Riemann compactes d'un genre donné. Le sujet de cette thèse est la cohomologie de l'espace des modules des courbes d'un genre donné avec un certain nombre de points marqués. La description de cet anneau a été initiée par D. Mumford puis C. Faber avait proposé une description de l'anneau tautologique des espaces de modules sans points marqués. Une première source de relations provient des relations A. Pixton démontrées par A. Pixton, R. Pandharipande et D. Zvonkine mais on ne sait pas si elles sont comp
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Peternell, Carolin Susanne [Verfasser]. "Birational models for moduli of quartic rational curves / Carolin Susanne Peternell." Mainz : Universitätsbibliothek Mainz, 2018. http://d-nb.info/1164037919/34.

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Books on the topic "Moduli of curves"

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Harris, Joe. Moduli of curves. Springer, 1998.

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Brambila Paz, Leticia, Ciro Ciliberto, Eduardo Esteves, Margarida Melo, and Claire Voisin, eds. Moduli of Curves. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-59486-6.

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Harris, Joe. Moduli of curves. Springer, 1998.

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R, Dijkgraaf, Faber C. 1962-, and Geer Gerard van der, eds. The moduli space of curves. Birkhäuser, 1995.

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Dijkgraaf, Robbert H., Carel F. Faber, and Gerard B. M. van der Geer, eds. The Moduli Space of Curves. Birkhäuser Boston, 1995. http://dx.doi.org/10.1007/978-1-4612-4264-2.

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Barry, Mazur, ed. Arithmetic moduli of elliptic curves. Princeton University Press, 1985.

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The moduli problem for plane branches. American Mathematical Society, 2006.

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Faber, Carel, and Eduard Looijenga, eds. Moduli of Curves and Abelian Varieties. Vieweg+Teubner Verlag, 1999. http://dx.doi.org/10.1007/978-3-322-90172-9.

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(1995-1996), Dutch Intercity Seminar on Moduli. Moduli of curves and abelian varieties: The Dutch Intercity Seminar on Moduli. Vieweg, 1999.

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Faber, Carel. Moduli of Curves and Abelian Varieties: The Dutch Intercity Seminar on Moduli. Vieweg+Teubner Verlag, 1999.

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Book chapters on the topic "Moduli of curves"

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Kazaryan, Maxim E., Sergei K. Lando, and Victor V. Prasolov. "Examples of Moduli Spaces." In Algebraic Curves. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-02943-2_13.

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Kazaryan, Maxim E., Sergei K. Lando, and Victor V. Prasolov. "Approaches to Constructing Moduli Spaces." In Algebraic Curves. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-02943-2_14.

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Kazaryan, Maxim E., Sergei K. Lando, and Victor V. Prasolov. "Moduli Spaces of Stable Maps." In Algebraic Curves. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-02943-2_18.

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Kazaryan, Maxim E., Sergei K. Lando, and Victor V. Prasolov. "Moduli Spaces of Rational Curves with Marked Points." In Algebraic Curves. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-02943-2_15.

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Kemeny, Michael. "Syzygies of Curves Beyond Green’s Conjecture." In Geometry of Moduli. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94881-2_7.

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Dijkgraaf, Robbert. "Mirror Symmetry and Elliptic Curves." In The Moduli Space of Curves. Birkhäuser Boston, 1995. http://dx.doi.org/10.1007/978-1-4612-4264-2_5.

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Faber, Carel, and Eduard Looijenga. "Remarks on Moduli of Curves." In Moduli of Curves and Abelian Varieties. Vieweg+Teubner Verlag, 1999. http://dx.doi.org/10.1007/978-3-322-90172-9_2.

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Sernesi, E. "Algebraic Curves and Their Moduli." In Lecture Notes of the Unione Matematica Italiana. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-59486-6_6.

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Harer, John L. "The cohomology of the moduli space of curves." In Theory of Moduli. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0082808.

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Caporaso, Lucia. "Distribution of Rational Points and Kodaira Dimension of Fiber Products." In The Moduli Space of Curves. Birkhäuser Boston, 1995. http://dx.doi.org/10.1007/978-1-4612-4264-2_1.

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Conference papers on the topic "Moduli of curves"

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Glass, D., and R. Pries. "On the moduli space of Klein four covers of the projective line." In Computational Aspects of Algebraic Curves. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701640_0005.

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Cardona, Gabriel, and Jordi Quer. "Field of moduli and field of definition for curves of genus 2." In Computational Aspects of Algebraic Curves. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701640_0006.

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Harris, Joe. "An Introduction to the Moduli Space of Curves." In Proceedings of the Conference on Mathematical Aspects of String Theory. WORLD SCIENTIFIC, 1987. http://dx.doi.org/10.1142/9789812798411_0014.

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Hwang, Jun-Muk. "Hecke curves on the moduli space of vector bundles over an algebraic curve." In Proceedings of the Symposium. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812705105_0005.

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Styler, Mark A., John Rogie, and Ilmar Weemees. "Selecting Moduli Reduction and Damping Curves Based on Cone Penetration Test Soil Behaviour Type." In Geotechnical Earthquake Engineering and Soil Dynamics V. American Society of Civil Engineers, 2018. http://dx.doi.org/10.1061/9780784481486.052.

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Lall, Pradeep, Madhu Kasturi, Haotian Wu, Jeff Suhling, and Edward Davis. "Property Evolution and Reliability of Underfills Under Sustained High Temperature Storage." In ASME 2021 International Technical Conference and Exhibition on Packaging and Integration of Electronic and Photonic Microsystems. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/ipack2021-74061.

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Abstract Automotive underhood electronics may be exposed to high temperature in the neighborhood of 100°C–200°C. Property evolution may impact reliability and accuracy of predictive models to assure desired use life. In this paper, evolution of properties of two underfill material properties are studied using DMA (Dynamic Mechanical Analyzer). The underfills are exposed to three different operational temperatures in the range of 100°C to 140°C for the measurements. The dynamic mechanical properties such as storage modulus (E′), loss modulus (E″), tangent delta (tan δ), and respective glass tra
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Gyeongwon Yun, Kyung-Min Kim, Yuji Roh, Youngjae Min, Jeong-Ki Lee, and Young H. Kim. "Comparison of slowness curves of Lamb wave with elastic moduli and crystal structure in silicon wafers." In 2013 IEEE International Ultrasonics Symposium (IUS). IEEE, 2013. http://dx.doi.org/10.1109/ultsym.2013.0407.

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Raj Singh, Shiv, and Seong Kwan Rhee. "An investigation of moisture sorption and its influence on brake pad modulus and compressibility: tangent modulus of compression vs. dynamic modulus: review of compressibility vs. hardness." In EuroBrake 2022. FISITA, 2022. http://dx.doi.org/10.46720/eb2022-tsd-021.

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"The current compressibility measurement method generates compression stress-strain curves. The strain during the 3rd compression is called “compressibility”. In physics, compressibility is defined as a reciprocal of compression modulus. Using this definition, the tangent and secant compression moduli are obtained from the compression stress-strain curves and corresponding compressibility numbers are obtained. The tangent modulus increases while the secant modulus decreases with increasing moisture content of brake pads. When disc pads are exposed to humidity, the pads gain weight following a
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Matte, Christopher-Denny, and Tsz-Ho Kwok. "Simulation of Hyper-Elasticity by Shape Estimation." In ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/detc2020-22583.

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Abstract The simulation of complex geometries and non linear deformation has been a challenge for standard simulation methods. There has traditionally been a trade off between performance and accuracy. With the popularity of additive manufacturing and the new design space it enables, the challenges are even more prevalent. Additionally multiple additive manufacturing techniques now enable the use of hyperelastic materials as raw material for fabrication, and multi-material capabilities. This allows designers more freedom, but also introduces new challenges for control and simulation of the pri
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Lai, Yeh-Hung, Cortney K. Mittelsteadt, Craig S. Gittleman, and David A. Dillard. "Viscoelastic Stress Model and Mechanical Characterization of Perfluorosulfonic Acid (PFSA) Polymer Electrolyte Membranes." In ASME 2005 3rd International Conference on Fuel Cell Science, Engineering and Technology. ASMEDC, 2005. http://dx.doi.org/10.1115/fuelcell2005-74120.

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Many of the premature failures in the PEM fuel cells are attributed to crossover of the reactant gas from pinholes or through-the-thickness flaws in the membranes. The formation of these pinholes is not fully understood, although mechanical stress is often considered one of the major factors in their initiation and/or propagation. This paper reports evidence of pinhole failure from mechanical stress by cycling between wet and dry conditions in a normally built single 50cm2 fuel cell. In an effort to understand the source of the mechanical stress, to quantify the magnitude, and to correlate its
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Reports on the topic "Moduli of curves"

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Furnish, M. D. Using power series expansions of moduli to interpolate between release curves from dynamic tests: Technique and application. Office of Scientific and Technical Information (OSTI), 1990. http://dx.doi.org/10.2172/6805755.

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Kinikles, Dellena, and John McCartney. Hyperbolic Hydro-mechanical Model for Seismic Compression Prediction of Unsaturated Soils in the Funicular Regime. Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, 2022. http://dx.doi.org/10.55461/yunw7668.

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A semi-empirical elasto-plastic constitutive model with a hyperbolic stress-strain curve was developed with the goal of predicting the seismic compression of unsaturated sands in the funicular regime of the soil-water retention curve (SWRC) during undrained cyclic shearing. Using a flow rule derived from energy considerations, the evolution in plastic volumetric strain (seismic compression) was predicted from the plastic shear strains of the hysteretic hyperbolic stress-strain curve. The plastic volumetric strains are used to predict the changes in degree of saturation from phase relationships
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Drushlyak, Marina G., Olena V. Semenikhina, Volodymyr V. Proshkin, Serhii Ya Kharchenko, and Tetyana D. Lukashova. Methodology of formation of modeling skills based on a constructive approach (on the example of GeoGebra). [б. в.], 2021. http://dx.doi.org/10.31812/123456789/4450.

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Author’s methodology of forming modeling skills involves 4 steps: Step 1 – the teacher step by step constructs the curve by means of cloud based service GeoGebra; Step 2 – the teacher offers a description- definition of the curve and provides a ready-made algorithm by which students model the curve inde- pendently in GeoGebra; Step 3 – the teacher offers an algorithm for constructing a curve model, and students need to characterize the properties of the curve or give its definition based on the results, Step 4 – students are offered definitions of curves that they have to model in GeoGebra). A
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Kurozumi, Takushi, Ryohei Oishi, and Willem Van Zandweghe. Sticky Information Versus Sticky Prices Revisited: A Bayesian VAR-GMM Approach. Federal Reserve Bank of Cleveland, 2022. http://dx.doi.org/10.26509/frbc-wp-202234.

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Several Phillips curves based on sticky information and sticky prices are estimated and compared using Bayesian VAR-GMM. This method derives expectations in each Phillips curve from a VAR and estimates the Phillips curve parameters and the VAR coefficients simultaneously. Quasi-marginal likelihood-based model comparison selects a dual stickiness Phillips curve in which, each period, some prices remain unchanged, consistent with micro evidence. Moreover, sticky information is a more plausible source of inflation inertia in the Phillips curve than other sources proposed in previous studies. Stic
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Wollaeger, Ryan. Light Curves and Spectra from Kilonova Models. Office of Scientific and Technical Information (OSTI), 2021. http://dx.doi.org/10.2172/1778739.

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Wollaeger, Ryan. Light Curves and Spectra from Kilonova Models. Office of Scientific and Technical Information (OSTI), 2022. http://dx.doi.org/10.2172/1868196.

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Auclert, Adrien, Rodolfo Rigato, Matthew Rognlie, and Ludwig Straub. New Pricing Models, Same Old Phillips Curves? National Bureau of Economic Research, 2022. http://dx.doi.org/10.3386/w30264.

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Kroft, Kory, René Leal Vizcaíno, Matthew Notowidigdo, and Ting Wang. Parallel Inverse Aggregate Demand Curves in Discrete Choice Models. National Bureau of Economic Research, 2020. http://dx.doi.org/10.3386/w27437.

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Weiss, Isaac. Model-Based Recognition of 3D Curves from One View. Defense Technical Information Center, 1995. http://dx.doi.org/10.21236/ada305201.

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Jarauta-Bragulat, Eusebi, and Juan José Egozcue. Compositional approach to growth curve models. Cogeo@oeaw-giscience, 2011. http://dx.doi.org/10.5242/iamg.2011.0144.

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