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Relevant bibliographies by topics / Regular and singular curve

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Academic literature on the topic 'Regular and singular curve'

Author: Grafiati

Published: 10 March 2023

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Journal articles on the topic "Regular and singular curve"

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Zhao, Xin, and Donghe Pei. "Evolutoids of the Mixed-Type Curves." Advances in Mathematical Physics 2021 (December 23, 2021): 1–9. http://dx.doi.org/10.1155/2021/9330963.

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The evolutoid of a regular curve in the Lorentz-Minkowski plane ℝ 1 2 is the envelope of the lines between tangents and normals of the curve. It is regarded as the generalized caustic (evolute) of the curve. The evolutoid of a mixed-type curve has not been considered since the definition of the evolutoid at lightlike point can not be given naturally. In this paper, we devote ourselves to consider the evolutoids of the regular mixed-type curves in ℝ 1 2 . As the angle of lightlike vector and nonlightlike vector can not be defined, we introduce the evolutoids of the nonlightlike regular curves i

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Honda, Shun'ichi, and Masatomo Takahashi. "Evolutes and focal surfaces of framed immersions in the Euclidean space." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 150, no. 1 (2019): 497–516. http://dx.doi.org/10.1017/prm.2018.84.

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AbstractWe consider a smooth curve with singular points in the Euclidean space. As a smooth curve with singular points, we have introduced a framed curve or a framed immersion. A framed immersion is a smooth curve with a moving frame and the pair is an immersion. We define an evolute and a focal surface of a framed immersion in the Euclidean space. The evolutes and focal surfaces of framed immersions are generalizations of each object of regular space curves. We give relationships between singularities of the evolutes and of the focal surfaces. Moreover, we consider properties of the evolutes,

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Saad, M. Khalifa, H. S. Abdel-Aziz, and A. A. Abdel-Salam. "Evolutes of Fronts in de Sitter and Hyperbolic Spheres." International Journal of Analysis and Applications 20 (September 21, 2022): 47. http://dx.doi.org/10.28924/2291-8639-20-2022-47.

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The evolute of a regular curve is a classical object from the viewpoint of differential geometry. We study some types of curves such as framed curves, framed immersion curves, frontal curves and front curves in 2-dimensional de Sitter and hyperbolic spaces. Also, we investigate the evolutes and some of their properties of fronts at singular points under some conditions. Finally, some computational examples in support of our main results are given and plotted.

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Samoilenko, V. H., Yu I. Samoilenko, and V. S. Vovk. "Asymptotic analysis of the singularly perturbed Korteweg-de Vries equation." Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics, no. 1 (2019): 194–97. http://dx.doi.org/10.17721/1812-5409.2019/1.45.

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The paper deals with the singularly perturbed Korteweg-de Vries equation with variable coefficients. An algorithm for constructing asymptotic one-phase soliton-like solutions of this equation is described. The algorithm is based on the nonlinear WKB technique. The constructed asymptotic soliton-like solutions contain a regular and singular part. The regular part of this solution is the background function and consists of terms, which are defined as solutions to the system of the first order partial differential equations. The singular part of the asymptotic solution characterizes the soliton p

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Uvarov, Artem D. "Singular Points of Curves." Modeling and Analysis of Information Systems 25, no. 6 (2018): 692–710. http://dx.doi.org/10.18255/1818-1015-2018-6-692-710.

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In this paper, we consider the key problem of geometric modeling, connected with the construction of the intersection curves of surfaces. Methods for constructing the intersection curves in complex cases are found: by touching and passing through singular points of surfaces. In the first part of the paper, the problem of determining the tangent line of two surfaces given in parametric form is considered. Several approaches to the solution of the problem are analyzed. The advantages and disadvantages of these approaches are revealed. The iterative algorithms for finding a point on the line of t

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Katz, Eric, and David Zureick-Brown. "The Chabauty–Coleman bound at a prime of bad reduction and Clifford bounds for geometric rank functions." Compositio Mathematica 149, no. 11 (2013): 1818–38. http://dx.doi.org/10.1112/s0010437x13007410.

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AbstractLet $X$ be a curve over a number field $K$ with genus $g\geq 2$, $\mathfrak{p}$ a prime of ${ \mathcal{O} }_{K} $ over an unramified rational prime $p\gt 2r$, $J$ the Jacobian of $X$, $r= \mathrm{rank} \hspace{0.167em} J(K)$, and $\mathscr{X}$ a regular proper model of $X$ at $\mathfrak{p}$. Suppose $r\lt g$. We prove that $\# X(K)\leq \# \mathscr{X}({ \mathbb{F} }_{\mathfrak{p}} )+ 2r$, extending the refined version of the Chabauty–Coleman bound to the case of bad reduction. The new technical insight is to isolate variants of the classical rank of a divisor on a curve which are better

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Streltsova, Irina. "Classification of curves on de Sitter plane." Proceedings of the International Geometry Center 13, no. 1 (2020): 1–8. http://dx.doi.org/10.15673/tmgc.v13i1.1683.

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In 1917, de Sitter used the modified Einstein equation and proposed a model of the Universe without physical matter, but with a cosmological constant. De Sitter geometry, as well as Minkowski geometry, is maximally symmetrical. However, de Sitter geometry is better suited to describe gravitational fields. It is believed that the real Universe was described by the de Sitter model in the very early stages of expansion (inflationary model of the Universe). This article is devoted to the problem of classification of regular curves on the de Sitter space. As a model of the de Sitter plane, th

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Fässler, Katrin, and Tuomas Orponen. "Singular integrals on regular curves in the Heisenberg group." Journal de Mathématiques Pures et Appliquées 153 (September 2021): 30–113. http://dx.doi.org/10.1016/j.matpur.2021.07.004.

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St�hr, Karl-Otto. "On the poles of regular differentials of singular curves." Boletim da Sociedade Brasileira de Matem�tica 24, no. 1 (1993): 105–36. http://dx.doi.org/10.1007/bf01231698.

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Overkamp, Otto. "Jumps and Motivic Invariants of Semiabelian Jacobians." International Mathematics Research Notices 2019, no. 20 (2018): 6437–79. http://dx.doi.org/10.1093/imrn/rnx303.

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Abstract We investigate Néron models of Jacobians of singular curves over strictly Henselian discretely valued fields and their behavior under tame base change. For a semiabelian variety, this behavior is governed by a finite sequence of (a priori) real numbers between 0 and 1, called jumps. The jumps are conjectured to be rational, which is known in some cases. The purpose of this paper is to prove this conjecture in the case where the semiabelian variety is the Jacobian of a geometrically integral curve with a push-out singularity. Along the way, we prove the conjecture for algebraic tori wh

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Dissertations / Theses on the topic "Regular and singular curve"

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PeÌrez-VelaÌsquez, Judith. "Singular and regular travelling waves in tumour encapsulation." Thesis, University of Nottingham, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.435991.

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Oliver, Joseph Michael. "Pairs of geometric foliations of regular and singular surfaces." Thesis, Durham University, 2010. http://etheses.dur.ac.uk/280/.

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We examine some generic features of surfaces in the Euclidean 3-space $\mathbb{R}^3$ related to the Gauss map on the surface. We consider these features on smooth surfaces and on singular surfaces with a cross-cap singularity. We study some symmetries between two classical pairs of foliations defined on smooth surfaces in $\mathbb{R}^3$: the asymptotic curves and the characteristic curves (called harmonic mean curvature lines in \cite{garciasotomayorharmonic}). The asymptotic curves exist in hyperbolic regions of surfaces and have been well studied. The characteristic curves are in certain way

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Nguyen, Van Luong. "On regular and singular points of the minimum time function." Doctoral thesis, Università degli studi di Padova, 2014. http://hdl.handle.net/11577/3424058.

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In this thesis, we study the regularity of the minimum time function Τ for both linear and nonlinear control systems in Euclidean space. We first consider nonlinear problems satisfying Petrov condition. In this case, Τ is locally Lipschitz and then is differentiable almost everywhere. In general, Τ fails to be differentiable at points where there are multiple time optimal trajectories and its differentiability at a point does not guarantee continuous differentiability around this point. We show that, under some regularity assumptions, the non-emptiness of proximal subdifferential of the min

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Chang, Ting-Ying. "On Singular Solutions of Weighted Divergence Operators." Thesis, The University of Sydney, 2017. http://hdl.handle.net/2123/16817.

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We give a complete classification of the isolated singularities of positive solutions to a broad class of nonlinear elliptic equations involving a weighted p-Laplacian and absorption terms in the punctured unit ball centred at zero. We work in the framework of regular variation theory. We introduce the notion of a fundamental solution to our operator, the weighted p-Laplacian. We prove a sharp condition for the removability of all singularities at zero for the positive solutions to our problem. We also show that any non-removable singularity at zero for a positive solution to our prescribed pr

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Cai, Yulin. "Integral Points on Modular Curves, Singular Moduli and Conductor-Discriminant Inequality." Thesis, Bordeaux, 2020. http://www.theses.fr/2020BORD0098.

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Cette thèse traite de trois sujets en trois parties. Dans la première partie, nous étudions les points S-entiers de la courbe modulaire X0(p). Yuri Bilu a montré qu’en utilisant la méthode de Baker, on peut donner une borne effective de la hauteur de ces points en fonction de p, du corps de base et de l’ensemble de places S. Min Sha a rendu ce résultat explicite. avec une borne doublement exponentielle en dans p. Nous améliorons considérablement dans cette thèse le résultat de Sha, en obtenant une borne simplement exponentielle. Cela se fait en utilisant une version très explicite du principe

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Yang, Xiaojing. "Nonlinear Control System Stability Metrics via A Singular Perturbation Approach." Ohio University / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1364466371.

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Kindler, Lars Verfasser], Hélène [Akademischer Betreuer] Esnault, Phung Ho Hai [Akademischer Betreuer], and Alexander [Akademischer Betreuer] [Beilinson. "Regular singular stratified bundles in positive characteristic / Lars Kindler. Gutachter: Phung Ho Hai ; Alexander A. Beilinson. Betreuer: Hélène Esnault." Duisburg, 2012. http://d-nb.info/1029288453/34.

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Ouoba, Mahamadi. "Asymptotic expansion of the expected discounted penalty function in a two-scalestochastic volatility risk model." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-26100.

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In this Master thesis, we use a singular and regular perturbation theory to derive an analytic approximation formula for the expected discounted penalty function. Our model is an extension of Cramer–Lundberg extended classical model because we consider a more general insurance risk model in which the compound Poisson risk process is perturbed by a Brownian motion multiplied by a stochastic volatility driven by two factors- which have mean reversion models. Moreover, unlike the classical model, our model allows a ruin to be caused either by claims or by surplus’ fluctuation. We compute explicit

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Fedina, Jekaterina. "Statistiniai stegoanalizės metodai." Master's thesis, Lithuanian Academic Libraries Network (LABT), 2014. http://vddb.library.lt/obj/LT-eLABa-0001:E.02~2012~D_20140704_172603-70609.

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Pagrindinis šio darbo tikslas susipažinti su steganografijos mokslu bei statistiniais stegoanalizės metodais, kurių dėka slepiama ir atrandama informacija įvairiuose failuose. Šitame magistro darbe išnagrinėti, aprašyti bei įgyvendinti du steganografijos ir du stegoanalizės metodai. Visi metodai realizuoti JAVA programavimo kalba, daliai matematiniams skaičiavimams atlikti panaudota MAPLE programa. Darbo pabaigoje pateikta metodų analizė.<br>The main goal of the thesis is to review the methods of steganography and steganalysis and to experiment with them. Steganography helps to embed hidden me

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Alabdallah, Suleiman. "Development of a nonlinear equations solver with superlinear convergence at regular singularities." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2014. http://dx.doi.org/10.18452/17045.

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In dieser Arbeit präsentieren wir eine neue Art von Newton-Verfahren mit Liniensuche, basierend auf Interpolation im Bildbereich nach Wedin et al. [LW84]. Von dem resultierenden stabilisierten Newton-Algorithmus wird theoretisch und praktisch gezeigt, dass er effizient ist im Falle von nichtsingulären Lösungen. Darüber hinaus wird beobachtet, dass er eine superlineare Rate von Konvergenz bei einfachen Singularitäten erhält. Hingegen ist vom Newton-Verfahren ohne Liniensuche bekannt, dass es nur linear von fast allen Punkten in der Nähe einer singulären Lösung konvergiert. In Hinsicht au

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Books on the topic "Regular and singular curve"

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Ma Chunde bo shi lun wen: Relations between the solutions of a linear differential equation of second order with four regular singular points. Beijing zhong xian tuo fang ke ji fa zhan you xian gong si, 2012.

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Ma, Shun Teh. Ma Chunde bo shi lun wen: Relations between the solutions of a linear differential equation of second order with four regular singular points. Beijing zhong xian tuo fang ke ji fa zhan you xian gong si, 2007.

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Shobe, Louis Raymon. On the Solution of a Linear Differential Equation Whose Coefficients Have a Regular Singular Point. Creative Media Partners, LLC, 2021.

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Downing, Laura J., and Al Mtenje. Segmental Phonology: Consonants. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198724742.003.0003.

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This chapter discusses the consonant phoneme inventory, briefly comparing the Chichewa consonant inventory with that of Proto-Bantu, before turning to the distribution of the consonants in different morphologically defined positions (stem-initial, stem-medial, affixes). The second half of the chapter surveys the main consonantal phonological processes. The processes discussed include regular and productive processes, like nasal place assimilation and postnasal stop aspiration, and morphologically conditioned consonant mutations involved in the formation of noun class 5/6 singular–plural pairs

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Lattman, Eaton E., Thomas D. Grant, and Edward H. Snell. Shape Reconstructions from Small Angle Scattering Data. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199670871.003.0004.

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This chapter discusses recovering shape or structural information from SAXS data. Key to any such process is the ability to generate a calculated intensity from a model, and to compare this curve with the experimental one. Models for the particle scattering density can be approximated as pure homogenenous geometric shapes. More complex particle surfaces can be represented by spherical harmonics or by a set of close-packed beads. Sometimes structural information is known for components of a particle. Rigid body modeling attempts to rotate and translate structures relative to one another, such t

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Mann, Peter. Liouville’s Theorem & Classical Statistical Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0020.

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This chapter returns to the discussion of constrained Hamiltonian dynamics, now in the canonical setting, including topics such as regular Lagrangians, constraint surfaces, Hessian conditions and the constrained action principle. The standard approach to Hamiltonian mechanics is to treat all the variables as being independent; in the constrained case, a constraint function links the variables so they are no longer independent. In this chapter, the Dirac–Bergmann theory for singular Lagrangians is developed, using an action-based approach. The chapter then investigates consistency conditions an

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Lugo, Stefano, and Fabio Bertoni. The Use of Debt by Sovereign Wealth Funds. Edited by Douglas Cumming, Geoffrey Wood, Igor Filatotchev, and Juliane Reinecke. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780198754800.013.6.

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This chapter documents the use of debt capital by sovereign wealth funds (SWFs)—a growing and under-researched phenomenon. Three reasons are given for this. First: debt can help SWFs reach their target portfolio size. (Some do not receive regular inflows from their governments to increase their assets under management (AUM). Second: the development of capital markets is a key objective for most of the countries that have created an SWF, and debt may be especially useful for the development of the bond market. SWF bonds are quasi-governmental securities that can be used as collateral and create

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Huffaker, Ray, Marco Bittelli, and Rodolfo Rosa. Entropy and Surrogate Testing. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198782933.003.0005.

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Reconstructing real-world system dynamics from time series data on a single variable is challenging because real-world data often exhibit a highly volatile and irregular appearance potentially driven by several diverse factors. NLTS methods help eliminate less likely drivers of dynamic irregularity. We set a benchmark for regular behavior by investigating how linear systems of ODEs are restricted to exponential and periodic dynamics, and illustrating how irregular behavior can arise if regular linear dynamics are corrupted with noise or shift over time (i.e., nonstationarity). We investigate h

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Book chapters on the topic "Regular and singular curve"

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Winkler, Joab R. "Backward Errors and Condition Numbers of Regular and Singular Points on Algebraic Curves." In Mathematics of Surfaces XI. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11537908_25.

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Haraoka, Yoshishige. "Regular Singular Points." In Lecture Notes in Mathematics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-54663-2_4.

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Epstein, Marcelo, and Reuven Segev. "Regular and Singular Dislocations." In Advances in Mechanics and Mathematics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-42683-5_5.

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Barbu, Luminiţa, and Gheorghe Moroşanu. "Regular and Singular Perturbations." In International Series of Numerical Mathematics. Birkhäuser Basel, 2007. http://dx.doi.org/10.1007/978-3-7643-8331-2_1.

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Reznik, Gregory, and Ziv Kizner. "Singular vortices in regular flows." In Iutam Bookseries. Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-8584-9_10.

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Cartwright, Nancy. "Regular Associations and Singular Causes." In Causation, Chance and Credence. Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-2863-3_5.

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Amann, Herbert. "Uniformly Regular and Singular Riemannian Manifolds." In Elliptic and Parabolic Equations. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12547-3_1.

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Başar, Tamer, and Pierre Bernhard. "Robustness to Regular and Singular Perturbations." In H∞-Optimal Control and Related Minimax Design Problems. Birkhäuser Boston, 2008. http://dx.doi.org/10.1007/978-0-8176-4757-5_8.

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Paul, Thierry. "Symbolic Calculus for Singular Curve Operators." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-68490-7_10.

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Korporal, Anja, Georg Regensburger, and Markus Rosenkranz. "Regular and Singular Boundary Problems in Maple." In Computer Algebra in Scientific Computing. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23568-9_22.

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Conference papers on the topic "Regular and singular curve"

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Ишкин, Хабир. "Regularized trace of the Sturm--Liouville operator on a curve with regular singular points on the chord." In International scientific conference "Ufa autumn mathematical school - 2021". Baskir State University, 2021. http://dx.doi.org/10.33184/mnkuomsh1t-2021-10-06.16.

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Blomer, Johannes, and Peter Gunther. "Singular Curve Point Decompression Attack." In 2015 Workshop on Fault Diagnosis and Tolerance in Cryptography (FDTC). IEEE, 2015. http://dx.doi.org/10.1109/fdtc.2015.17.

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Wang, Chengwei. "Linear singular blending rational spline curve." In 2011 IEEE 2nd International Conference on Computing, Control and Industrial Engineering (CCIE 2011). IEEE, 2011. http://dx.doi.org/10.1109/ccieng.2011.6007964.

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Karcanias, N. "Regular state-space realizations of singular system control problems." In 26th IEEE Conference on Decision and Control. IEEE, 1987. http://dx.doi.org/10.1109/cdc.1987.272588.

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Wang, Chengwei. "Linear singular blending T-Bézier curve." In 2012 2nd International Conference on Applied Robotics for the Power Industry (CARPI 2012). IEEE, 2012. http://dx.doi.org/10.1109/carpi.2012.6356324.

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Wang, Han, and Chun-Gang Zhu. "The Number of Regular Control Curves of NURBS Curve." In Computer Graphics International 2018. ACM Press, 2018. http://dx.doi.org/10.1145/3208159.3208168.

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Yun Zou, Weiqun Wang, and Shengyuan Xu. "Regular State Observers Design for 2-D Singular Roesser Models." In 4th International Conference on Control and Automation. Final Program and Book of Abstracts. IEEE, 2003. http://dx.doi.org/10.1109/icca.2003.1594991.

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Nouri, Roya, and Azadeh Mansouri. "Blind image steganalysis based on reciprocal singular value curve." In 2015 9th Iranian Conference on Machine Vision and Image Processing (MVIP). IEEE, 2015. http://dx.doi.org/10.1109/iranianmvip.2015.7397519.

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Figliolini, Giorgio, Pierluigi Rea, and Salvatore Grande. "Kinematic Synthesis of Rotary Machines Generated by Regular Curve-Polygons." 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/detc2012-71192.

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This paper deals with the kinematic synthesis of volumetric rotary machines, which are generated by the planetary motion of regular curve-polygons. In particular, the synthesis of both outer and inner conjugate profiles has been formulated as envelope of the polycentric profiles of a generating regular curve-polygon with any number of lobes, different radii of the circumcircle and rounded corners. A regular curve-polygon with cusp corners can be obtained as a particular case, like the Reuleaux triangle. Finally, the proposed formulation has been implemented in a Matlab code and several example

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Jin, Zhenghong, Qingling Zhang, and Yi Zhang. "The Impulse Analysis of the Regular Singular System via Kronecker Indices." In 2018 2nd International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2018). Atlantis Press, 2018. http://dx.doi.org/10.2991/ammsa-18.2018.13.

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Reports on the topic "Regular and singular curve"

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Torres, Marissa, Michael-Angelo Lam, and Matt Malej. Practical guidance for numerical modeling in FUNWAVE-TVD. Engineer Research and Development Center (U.S.), 2022. http://dx.doi.org/10.21079/11681/45641.

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This technical note describes the physical and numerical considerations for developing an idealized numerical wave-structure interaction modeling study using the fully nonlinear, phase-resolving Boussinesq-type wave model, FUNWAVE-TVD (Shi et al. 2012). The focus of the study is on the range of validity of input wave characteristics and the appropriate numerical domain properties when inserting partially submerged, impermeable (i.e., fully reflective) coastal structures in the domain. These structures include typical designs for breakwaters, groins, jetties, dikes, and levees. In addition to p

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