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Relevant bibliographies by topics / Critical curves and caustics

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Academic literature on the topic 'Critical curves and caustics'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Critical curves and caustics"

1

Daněk, Kamil, and David Heyrovský. "CRITICAL CURVES AND CAUSTICS OF TRIPLE-LENS MODELS." Astrophysical Journal 806, no. 1 (2015): 99. http://dx.doi.org/10.1088/0004-637x/806/1/99.

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Daněk, Kamil, and David Heyrovský. "IMAGE-PLANE ANALYSIS OFn-POINT-MASS LENS CRITICAL CURVES AND CAUSTICS." Astrophysical Journal 806, no. 1 (2015): 63. http://dx.doi.org/10.1088/0004-637x/806/1/63.

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Wang, Yun, and Edwin L. Turner. "Caustics, critical curves and cross-sections for gravitational lensing by disc galaxies." Monthly Notices of the Royal Astronomical Society 292, no. 4 (1997): 863–70. http://dx.doi.org/10.1093/mnras/292.4.863.

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Asada, H. "A Parametric Representation of Critical Curves and Caustics for a Binary Gravitational Lens." Progress of Theoretical Physics 110, no. 3 (2003): 425–32. http://dx.doi.org/10.1143/ptp.110.425.

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Diego, J. M. "The Universe at extreme magnification." Astronomy & Astrophysics 625 (May 2019): A84. http://dx.doi.org/10.1051/0004-6361/201833670.

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Extreme magnifications of distant objects by factors of several thousand have recently become a reality. Small, very luminous compact objects, such as supernovae (SNe), giant stars at z = 1 − 2, Pop III stars at z > 7, and even gravitational waves (GWs) from merging binary black holes near caustics of gravitational lenses can be magnified many thousands or even tens of thousands of times thanks to their small size. We explore the probability of such extreme magnifications in a cosmological context and include the effect of microlenses near critical curves. We show how the presence of microl

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Bozza, Valerio, Silvia Pietroni, and Chiara Melchiorre. "Caustics in Gravitational Lensing by Mixed Binary Systems." Universe 6, no. 8 (2020): 106. http://dx.doi.org/10.3390/universe6080106.

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We investigated binary lenses with 1/rn potentials in the asymmetric case with two lenses with different indexes n and m. These kinds of potentials have been widely used in several contexts, ranging from galaxies with halos described by different power laws to lensing by wormholes or exotic matter. In this paper, we present a complete atlas of critical curves and caustics for mixed binaries, starting from the equal-strength case, and then exploring unequal-strength systems. We also calculate the transitions between all different topology regimes. Finally we find some useful analytic approximat

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Asada, H. "Effects of the core radius of an isothermal ellipsoidal gravitational lens on the caustics and the critical curves." Astronomy & Astrophysics 427, no. 2 (2004): 393–96. http://dx.doi.org/10.1051/0004-6361:20040374.

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Zhdanov, V. I., A. N. Alexandrov, E. V. Fedorova, and V. M. Sliusar. "Analytical Methods in Gravitational Microlensing." ISRN Astronomy and Astrophysics 2012 (September 25, 2012): 1–21. http://dx.doi.org/10.5402/2012/906951.

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We discuss analytical results dealing with photometric and astrometric gravitational microlensing. The first two sections concern approximation methods that allow us to get solutions of the general lens equation near fold caustics and cusp points up to any prescribed accuracy. Two methods of finding approximate solutions near the fold are worked out. The results are applied to derive new corrections to total amplifications of critical source images. Analytic expressions are obtained in case of the Gaussian, power-law, and limb-darkening extended source models; here we present the first nonzero

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Diego, J. M., O. A. Hannuksela, P. L. Kelly, et al. "Observational signatures of microlensing in gravitational waves at LIGO/Virgo frequencies." Astronomy & Astrophysics 627 (July 2019): A130. http://dx.doi.org/10.1051/0004-6361/201935490.

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Microlenses with typical stellar masses (a few M⊙) have traditionally been disregarded as potential sources of gravitational lensing effects at LIGO/Virgo frequencies, since the time delays are often much smaller than the inverse of the frequencies probed by LIGO/Virgo, resulting in negligible interference effects at LIGO/Virgo frequencies. While this is true for isolated microlenses in this mass regime, we show how, under certain circumstances and for realistic scenarios, a population of microlenses (for instance stars and remnants from a galaxy halo or from the intracluster medium) embedded

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Alexandrov, A., V. Zhdanov, and A. Kuybarov. "Gravitational microlensing of an elliptical source near a fold caustic." Bulletin of Taras Shevchenko National University of Kyiv. Astronomy, no. 57 (2018): 10–15. http://dx.doi.org/10.17721/btsnua.2018.57.10-15.

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We consider the amplification factor for the luminosity of an extended source near the fold caustic of the gravitational lens. It is assumed that the source has elliptical shape, and the brightness distribution along the radial directions is Gaussian. During the microlensing event the total brightness of all microimages is observed, which changes when the source moves relative to the caustic. The main contribution to the variable component is given by the so-called critical images that arise/disappear at the intersection of the caustic by the source. In the present paper we obtained an analogo

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Dissertations / Theses on the topic "Critical curves and caustics"

1

Winters, Kraig B. "Intensification and instability of internal gravity waves at caustics and critical levels /." Thesis, Connect to this title online; UW restricted, 1989. http://hdl.handle.net/1773/6792.

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Aldous, Anthony P. "Counting zeros and critical points of random curves and surfaces." Thesis, Brunel University, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.435138.

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Musiker, Gregg Joseph. "A combinatorial comparison of elliptic curves and critical groups of graphs." Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2007. http://wwwlib.umi.com/cr/ucsd/fullcit?p3258705.

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Thesis (Ph. D.)--University of California, San Diego, 2007.<br>Title from first page of PDF file (viewed June 5, 2007). Available via ProQuest Digital Dissertations. Vita. Includes bibliographical references (p. 146-150).

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Lam, Matthew. "A Combinatorial Exploration of Elliptic Curves." Scholarship @ Claremont, 2015. http://scholarship.claremont.edu/hmc_theses/91.

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At the intersection of algebraic geometry, number theory, and combinatorics, an interesting problem is counting points on an algebraic curve over a finite field. When specialized to the case of elliptic curves, this question leads to a surprising connection with a particular family of graphs. In this document, we present some of the underlying theory and then summarize recent results concerning the aforementioned relationship between elliptic curves and graphs. A few results are additionally further elucidated by theory that was omitted in their original presentation.

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Nassif, Merhej-Marc. "Developing critical coalescence concentration curves using dilution and determining frother-like properties of oil sands process water." Thesis, McGill University, 2014. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=121253.

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In flotation, the rate with which mineral particles are recovered is governed by the bubbles generated. The smaller the bubbles, the more surface area is available for transport to the froth zone. Surface-active species, known as frothers, are commonly added to help produce small bubbles in flotation. They are believed to act by coalescence prevention and have different characteristics based on their chemical and structural formulas. Many methods have been developed to categorize the classes of frothers, describing different behaviours and material constants. One such method is the critical co

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Comeau, Christian R. "Critical Erosion/Corrosion Piping Wall Thicknesses Under Static and Fatigue Stress Conditions According to ASME Guidelines." Thesis, Virginia Tech, 2001. http://hdl.handle.net/10919/34057.

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The purpose of this project was to show the updated procedures and to make additions to the computer program called Tmin designed by E. I. DuPont De Nemours and Company. This program is used as a screening tool for determining the largest of the minimum pipe-wall thicknesses in a piping system. This project involved several additions that will be released in the next version of the Tmin computer program. The first major additions to be implemented are four alternating Stress-to-Number of cycles curves: Aluminum 1100, Aluminum 3003-0, Aluminum 6061-T6, and Nickel 200. In addition, procedur

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Oztop, Celal. "Beforehand Obtaining A Safety Operation Condition By Using Daily Load Curves In Transient Stability And Graphical Software For Transient Stability Applications." Master's thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/2/12606457/index.pdf.

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ABSTRACT In this thesis, relationship between two most important transient stability indices, critical clearing time and generator rotor angle is examined for one machine-infinite bus system and then extended to the multimachine case and is observed to be linear. By using the linear relationship between critical clearing time and generator rotor angle and utilizing the daily load curve, a new preventive method is proposed. The aim of this method is to make all critical clearing times longer than the relay and circuit breaker combination operation time. In the proposed method, desired critic

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Davidsson, Simon. "Natural resources and sustainable energy : Growth rates and resource flows for low-carbon systems." Doctoral thesis, Uppsala universitet, Naturresurser och hållbar utveckling, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-301930.

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Large-scale deployment of low-carbon energy technologies is important for counteracting anthropogenic climate change and achieving universal energy access. This thesis explores potential growth rates of technologies necessary to reach a more sustainable global energy system, the material and energy flows required to commission these technologies, and potential future availability of the required resources. These issues are investigated in five papers. Potential future growth rates of wind energy and solar photovoltaics, and the associated material requirements are explored, taking the expected

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Lindahl, Anna. "Modellering av avdunstning utgående från markfuktighetsmätningar i moränmark." Thesis, Uppsala universitet, Institutionen för geovetenskap, 1996. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-391599.

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En endimensionell SVAT-modell (Soil-Vegetation-Atmosphere) användes för att simulera avdunstning och uppskatta den kritiska vattenpotentialen där reduktionen av vattenupptaget börjar. Detta gjordes i en blandad tall- och granskog i norra Uppland för perioden 1 maj - 31 oktober 1994. Denna period var ovanligt varm och torr och gav därför en unik chans att studera vattenupptag och upptorkning. Som indata till modellen användes markfysikaliska egenskaper och dagliga meteorologiska data. Modellen kalibrerades med TBR-, tensiometer- och grundvattenståndsmätningar för samma period. Den kritiska vatt

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Hakl, Petr. "Vytvoření hydrologického modelu pro odvození maximálních odtoků z malých povodí." Master's thesis, Vysoké učení technické v Brně. Fakulta stavební, 2020. http://www.nusl.cz/ntk/nusl-409727.

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The aim of the thesis is to set a hydrology model based on existed methodology DesQ-MaxQ, which comes from "Designing flows from a very small catchments" established in 1989. The model is able to set a nearest meteorology station and his 24-hours rainfall depths for periods of repetition 2,5,10,20,50 and 100 years. Substitute rainfall depths are set by "reduction of 24-hours rainfall depths" methodology. According to hydraulic and hydrology conditions of catchment, duration of the critical rains for each period of repetition are set also peak flow rates and total runoffs from the catchment. Ap

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Books on the topic "Critical curves and caustics"

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I, Arnolʹd V. Topological invariants of plane curves and caustics. American Mathematical Society, 1994.

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M, Gusein-Zade S., Varchenko A. N, and SpringerLink (Online service), eds. Singularities of Differentiable Maps, Volume 1: Classification of Critical Points, Caustics and Wave Fronts. Birkhäuser Boston, 2012.

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Gusein-Zade, S. M., Alexander N. Varchenko, and V. I. I. Arnold. Singularities of Differentiable Maps, Volume 1: Classification of Critical Points, Caustics and Wave Fronts. Birkhäuser, 2012.

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Arnold, V. I. Singularities of Differentiable Maps : Volume I: The Classification Of Critical Points Caustics And Wave Fronts. Springer, 2011.

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Singularities of Differentiable Maps : Volume I: The Classification of Critical Points Caustics and Wave Fronts. Birkhäuser, 2014.

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Arnold, Vladimir I., S. M. Gusein-Zade, etc, and Aleksander N. Varchenko. Singularities of Differentiable Maps: Classification of Critical Points Caustics and Wave Fronts v. 1 (Monographs in Mathematics). Birkhauser Verlag AG, 1985.

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Sorrentino, Alfonso. Action-Minimizing Curves for Tonelli Lagrangians. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691164502.003.0004.

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This chapter discusses the notion of action-minimizing orbits. In particular, it defines the other two families of invariant sets, the so-called Aubry and Mañé sets. It explains their main dynamical and symplectic properties, comparing them with the results obtained in the preceding chapter for the Mather sets. The relation between these new invariant sets and the Mather sets is described. As a by-product, the chapter introduces the Mañé's potential, Peierls' barrier, and Mañé's critical value. It discusses their properties thoroughly. In particular, it highlights how this critical value is re

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Waldmann, Carl, Neil Soni, and Andrew Rhodes. Respiratory monitoring. Oxford University Press, 2011. http://dx.doi.org/10.1093/med/9780199229581.003.0006.

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Pulmonary function tests in critical illness 90End-tidal CO2 monitoring 92Pulse oximetry 94Pulmonary function test results in critically ill patients can be important prognostically and guide ventilatory and weaning strategies. However, they are not straightforward to measure in mechanically ventilated patients and remain limited to dynamic volumes. Fortunately, most modern mechanical ventilators are able to calculate and display static and dynamic lung volumes, together with derived values for airway resistance, compliance and flow/volume/time curves. The ability to monitor these changes afte

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Spencer, Thomas. Number theory. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.24.

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This article examines some of the connections between random matrix theory (RMT) and number theory, including the modelling of the value distributions of the Riemann zeta function and other L-functions as well as the statistical distribution of their zeros. Number theory has been used in RMT to address seemingly disparate questions, such as modelling mean and extreme values of the Riemann zeta function and counting points on curves. One thing in common among the applications of RMT to number theory is the L-function. The statistics of the critical zeros of these functions are believed to be re

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Sprouse, Adrienne. Toxins (DRAFT). Edited by Madeleine M. Castellanos. Oxford University Press, 2018. http://dx.doi.org/10.1093/med/9780190225889.003.0010.

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This chapter describes the categories of 300+ environmental chemicals measured in the blood and urine of Americans by the US Centers for Disease Control and Prevention. Some are endocrine-disrupting chemicals (EDCs) and substitute for endogenous hormones in a variety of metabolic processes affecting sexual health, obesity, diabetes, and behavior. The Monotonic Dose-Response (linear dose-response) is inappropriate when evaluating the health consequences of EDCs. Nonmonotonic Dose-Response Curves are better for considering the affinity of the ligand for the receptor, receptor saturation, ligand

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Book chapters on the topic "Critical curves and caustics"

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Calello, Diane P. "Caustics." In Critical Care Toxicology. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-17900-1_90.

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Calello, Diane P. "Caustics." In Critical Care Toxicology. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-20790-2_90-1.

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Catanese, Fabrizio. "Caustics of Plane Curves, Their Birationality and Matrix Projections." In Algebraic and Complex Geometry. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05404-9_5.

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Maybank, Stephen. "Critical Surfaces and Horopter Curves." In Theory of Reconstruction from Image Motion. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-77557-4_3.

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Barsky, Eugene. "Universal Curves Criteria." In Critical Regimes of Two-Phase Flows with a Polydisperse Solid Phase. Springer Netherlands, 2010. http://dx.doi.org/10.1007/978-90-481-8838-3_14.

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Kahl, Fredrik, and Richard Hartley. "Critical Curves and Surfaces for Euclidean Reconstruction." In Computer Vision — ECCV 2002. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/3-540-47967-8_30.

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Lynden-Bell, Donald, and Jaideep M. Barot. "Critical Ergos Curves and Chaos at Corotation." In Galaxies and Chaos. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-45040-5_2.

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G. Hunt, Allen. "Pressure Saturation Curves and the Critical Volume Fraction for Percolation." In Percolation Theory for Flow in Porous Media. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11430957_5.

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Rogankov, V., and O. Byutner. "Fluctuational equation of state and slopes of critical curves near the critical point of solvent." In Soft Matter under Exogenic Impacts. Springer Netherlands, 2007. http://dx.doi.org/10.1007/978-1-4020-5872-1_20.

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Witten, Matthew. "Reliability Theoretic Methods and Aging: Critical Elements, Hierarchies and Longevity—Interpreting Survival Curves." In Molecular Biology of Aging. Springer US, 1985. http://dx.doi.org/10.1007/978-1-4899-2218-2_21.

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Conference papers on the topic "Critical curves and caustics"

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Helmke, Stefan, and Peter Slodowy. "Loop groups, elliptic singularities and principal bundles over elliptic curves." In Geometry and Topology of Caustics – Caustics '02. Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc62-0-6.

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Myszka, David H., Andrew P. Murray, and Charles W. Wampler. "Mechanism Branches, Turning Curves, and Critical Points." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70277.

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This paper considers single-degree-of-freedom, closed-loop linkages with a designated input angle and one design parameter. For a fixed value of the design parameter, a linkage has turning points (dead-input singularities), which break the motion curve into branches such that the motion along each branch can be driven monotonically from the input. As the design parameter changes, the number of branches and their connections, in short the topology of the motion curve, may change at certain critical points. As the design parameter changes, the turning points sweep out a curve we call the “turnin

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Daily, Jeremy. "Analysis of Critical Speed Yaw Scuffs Using Spiral Curves." In SAE 2012 World Congress & Exhibition. SAE International, 2012. http://dx.doi.org/10.4271/2012-01-0606.

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Hill, T. H., and R. B. Chandler. "Field Curves for Critical Buckling Loads in Curving Wellbores." In IADC/SPE Drilling Conference. Society of Petroleum Engineers, 1998. http://dx.doi.org/10.2118/39322-ms.

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Pusseogda, L. N., A. Dinovitzer, and D. Horsley. "Determination of Critical Hydrogen Curves From Slow Bend Tests." In 2004 International Pipeline Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/ipc2004-0414.

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Recent trends in the pipeline industry are towards the use of high strength steels. As steel strength increases, the delayed hydrogen cracking propensity in the welds also increases. As welding is often completed during winter months, the cold temperatures must be considered in determining joining procedures that will avoid delayed hydrogen cracking. The Graville/BMT Fleet Technology Limited hydrogen diffusion and cracking models have been used successfully in the past to predict delayed cracking and to demonstrate how changes implemented in the welding procedure can minimize the risk of crack

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Georgaki, Anastasia, and Christos Tsolakis. "Fractal based curves in musical creativity: A critical annotation." In Selected Papers from the 3rd Chaotic Modeling and Simulation International Conference (CHAOS2010). WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814350341_0019.

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Mastroberti, Monica, and Marco Vona. "A CRITICAL REVIEW OF FRAGILITY CURVES FOR EXISTING RC BUILDINGS." In VII European Congress on Computational Methods in Applied Sciences and Engineering. Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, 2016. http://dx.doi.org/10.7712/100016.2230.10028.

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Maier, Robert S., and Daniel L. Stein. "Optimal Paths, Caustics, and Boundary Layer Approximations in Stochastically Perturbed Dynamical Systems." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0335.

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Abstract We study the asymptotic properties of overdamped dynamical systems with one or more point attractors, when they are perturbed by weak noise. In the weak-noise limit, fluctuations to the vicinity of any specified non-attractor point will increasingly tend to follow a well-defined optimal path. We compute precise asymptotics for the frequency of such fluctuations, by integrating a matrix Riccati equation along the optimal path. We also consider noise-induced transitions between domains of attraction, in two-dimensional double well systems. The optimal paths in such systems may focus, cr

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Chattopadhyay, Somnath. "S-N Curves in Pressure Vessel Steels Using Theory of Critical Distances." In ASME 2008 Pressure Vessels and Piping Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/pvp2008-61592.

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The S-N technology used in the ASME Code and similar design criteria includes both crack initiation and crack propagation phases of fatigue failure. Some of the pressure vessel construction codes have used the simplified fatigue initiation criterion based on stresses calculated at a distance of 0.05 mm from the surface crack. In this work such techniques have been assessed for pressure vessels in light of the theory of critical distances. This method has been used to generate S-N curves for typical materials such as medium carbon steels, nickel chrome steels and stainless steels. Separate tech

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Barbosa, Eduardo Henrique Costa, Enio Rodrigues Viana, Hermes Manoel Galvao Castelo Branco, and Aldir Silva Sousa. "Critical analysis of pattern recognition load curves using multi-layer perceptron neural network." In 2018 13th IEEE International Conference on Industry Applications (INDUSCON). IEEE, 2018. http://dx.doi.org/10.1109/induscon.2018.8627168.

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Reports on the topic "Critical curves and caustics"

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Wagner, Anna, Christopher Hiemstra, Glen Liston, Katrina Bennett, Dan Cooley, and Arthur Gelvin. Changes in climate and its effect on timing of snowmelt and intensity-duration-frequency curves. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/41402.

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Snow is a critical water resource for much of the U.S. and failure to account for changes in climate could deleteriously impact military assets. In this study, we produced historical and future snow trends through modeling at three military sites (in Washington, Colorado, and North Dakota) and the Western U.S. For selected rivers, we performed seasonal trend analysis of discharge extremes. We calculated flood frequency curves and estimated the probability of occurrence of future annual maximum daily rainfall depths. Additionally, we generated intensity-duration-frequency curves (IDF) to find r

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CAPACITY EVALUATION OF EIGHT BOLT EXTENDED ENDPLATE MOMENT CONNECTIONS SUBJECTED TO COLUMN REMOVAL SCENARIO. The Hong Kong Institute of Steel Construction, 2021. http://dx.doi.org/10.18057/ijasc.2021.17.3.6.

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The extended stiffened endplate (8ES) connection is broadly used in the seismic load-resisting parts of steel structures. This connection is prequalified based on the AISC 358 standard, especially for seismic regions. To study this connection’s behaviors, in the event of accidental loss of a column, the finite element model results were verified against the available experimental data. A parametric study using the finite element method was then carried out to investigate these numerical models’ maximum capacity and effective parameters' effect on their maximum capacity in a column loss scenari

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