Bibliographies thématiques / Regular and singular curve

Littérature scientifique sur le sujet « Regular and singular curve »

Auteur : Grafiati
Publié le 10 mars 2023

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Articles de revues sur le sujet "Regular and singular curve"

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Zhao, Xin, et Donghe Pei. « Evolutoids of the Mixed-Type Curves ». Advances in Mathematical Physics 2021 (23 décembre 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 in ℝ 1 2 and give the conception of the σ -transform first. On this basis, we define the evolutoids of the regular mixed-type curves by using a lightcone frame. Then, we study when does the evolutoid of a mixed-type curve have singular points and discuss the relationship of the type of the points of the mixed-type curve and the type of the points of its evolutoid.
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Honda, Shun'ichi, et 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 (26 janvier 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, focal surfaces and repeated evolutes.
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Saad, M. Khalifa, H. S. Abdel-Aziz et A. A. Abdel-Salam. « Evolutes of Fronts in de Sitter and Hyperbolic Spheres ». International Journal of Analysis and Applications 20 (21 septembre 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 et 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 properties of the asymptotic solution. These terms are defined as solutions to the system of the third order partial differential equations. Solutions of these equations are obtained in a special way. Firstly, solutions of these equations are considered on the so-called discontinuity curve, and then these solutions are prolongated into a neighborhood of this curve. The influence of the form of the coefficients of the considered equation on the form of the equation for the discontinuity curve is analyzed. It is noted that for a wide class of such coefficients the equation for the discontinuity curve has solution that is determined for all values of the time variable. In these cases, the constructed asymptotic solutions are determined for all values of the independent variables. Thus, in the case of a zero background, the asymptotic solutions are certain deformations of classical soliton solutions.
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Uvarov, Artem D. « Singular Points of Curves ». Modeling and Analysis of Information Systems 25, no 6 (19 décembre 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 tangency are described. The second part of the paper is devoted to methods for overcoming the difficulties encountered in solving a problem for singular points of intersection curves, in which a regular iterative process is violated. Depending on the type of problem, the author dwells on two methods. The first of them suggests finding singular points of curves without using iterative methods, which reduces the running time of the algorithm of plotting the intersection curve. The second method, considered in the final part of the article, is a numerical method. In this part, the author introduces a function that achieves a global minimum only at singular points of the intersection curves and solves the problem of minimizing this function. The application of this method is very effective in some particular cases, which impose restrictions on the surfaces and their arrangement. In conclusion, this method is considered in the case when the function has such a relief, that in the neighborhood of the minimum point the level surfaces are strongly elongated ellipsoids. All the images given in this article are the result of the work of algorithms on methods proposed by the author. Images are built in the author’s software environment.
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Katz, Eric, et 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 (9 octobre 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 suited for singular curves and which satisfy Clifford’s theorem.
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Streltsova, Irina. « Classification of curves on de Sitter plane ». Proceedings of the International Geometry Center 13, no 1 (1 avril 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, the upper half-plane on which the metric is given is chosen. For this purpose, an algebra of differential invariants of curves with respect to the motions of the de Sitter plane is constructed. As it turned out, this algebra is generated by one second-order differential invariant (we call it by de Sitter curvature) and two invariant differentiations. Thus, when passing to the next jets, the dimension of the algebra of differential invariants increases by one. The concept of regular curves is introduced. Namely, a curve is called regular if the restriction of de Sitter curvature to it can be considered as parameterization of the curve. A theorem on the equivalence of regular curves with respect to the motions of the de Sitter plane is proved. The singular orbits of the group of proper motions are described.
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Fässler, Katrin, et Tuomas Orponen. « Singular integrals on regular curves in the Heisenberg group ». Journal de Mathématiques Pures et Appliquées 153 (septembre 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 (mars 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 (29 janvier 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 which are induced along finite separable extensions and generalize Raynaud’s description of the identity component of the Néron model of the Jacobian of a smooth curve (in terms of the Picard functor of a proper, flat, and regular model) to our situation. The main technical result of this paper is that the exact sequence that decomposes the Jacobian of one of our singular curves into its toric and Abelian parts extends to an exact sequence of Néron models. Previously, only split semiabelian varieties were known to have this property.
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Thèses sur le sujet "Regular and singular curve"

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Pérez-Velásquez, 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 ways the analogy of the asymptotic curves in elliptic regions. In this thesis we extend this analogy. . We use We produce results on the characteristic curves mirroring those of Uribe-Vargas (\cite{uribevargas}) on the asymptotic curves. By considering cross-ratios of Legendrian lines in the manifold of contact elements to the surface we show that certain properties of the characteristic curves are invariant under projective transformations, and examine their behaviour at cusps of Gauss. We establish an analogy of the Beltrami-Enepper Theorem, which allows us to distinguish between the two characteristic foliations in a natural geometric way. We show that the local properties of characteristic curves may be used to prove certain global results concerning the elliptic regions of smooth surfaces. Motivated by the study of the asymptotic, principal and characteristic curves on surfaces in $\mathbb{R}^3$, we construct a natural one-to-one correspondence between the set of non-degenerate binary differential equations (BDEs) and linear involutions on the real projective line. We show that one may construct pairs of BDEs that have various symmetric properties using a single involution on $\mathbb{R}P^1$. We study the folded singularities of BDEs, and associate an affine invariant to such points. We show that one may associate a complex parameter to folded singularities that determines the relative positions of various curves of interest. We show that the BDEs asymptotic, characteristic, and principal curves are related to other quadratic forms on surfaces. These include the BDE that defines the lines of arithmetic mean curvature which are studied in \cite{garciasotomayorarith}, and the third fundamental form of the surface. We define a new pair of foliations of a surface which we label the minimal orthogonal spherical image (MOSI) curves which are the integral curves of those tangent directions to a surface that have orthogonal images under the Gauss map, and are inclined at an extremal angle. We establish the configurations of the MOSI curves in a neighbourhood of umbilic points, parabolic points and cusps of Gauss. We construct natural 1-parameter families of BDEs that interpolate between the BDEs we have studied, and establish relationships between these families. We exhibit the existence of a curve of points of zero torsion of the characteristic curves, and a curve of points where the tangent plane to the surface is the osculating plane of a characteristic curve. We determine the behaviour of these curves near cusps of Gauss and umbilic points. We study BDEs with coefficients that vanish simultaneously at an isolated point and with discriminant having an $A_2$-singularity at that point. We show that such BDEs can be grouped into three distinct types, and study the differences between these types in terms of their codimension and the linear parts of their coefficients. We establish the topological configurations of the solution curves in each case with codimension $\leq4$. We study the asymptotic and characteristic curves in the neighbourhood of a parabolic cross-cap, that is, on a singular surface with a cross-cap singularity with a parabolic set having a cusp singularity at the singular point. We obtain the topological configurations of these foliations both in the domain of a parametrisation of such a surface, and on the surface itself. We construct a natural one-parameter family of surfaces with cross-cap singularities in which the parabolic cross-cap is the transition from a hyperbolic cross-cap to an elliptic cross-cap. We study the bifurcations of the asymptotic and characteristic curves in this family.
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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 minimum time function at a point x implies its continuous differentiability on a neighborhood of Υ. The technique consists of deriving sensitivity relations for the proximal subdifferential of the minimum time function and excluding the presence of conjugate points when the proximal subdifferential is nonempty. We then study the regularity the minimum time function Τ to reach the origin under controllability conditions which do not imply the Lipschitz continuity of Τ. Basing on the analysis of zeros of the switching function, we find out singular sets (e.g., non - Lipschitz set, non - differentiable set) and establish rectifiability properties for them. The results imply further regularity properties of Τ such as the SBV regularity, the differentiability and the analyticity. The results are mainly for linear control problems.
La presente tesi è dedicata allo studio della regolarità della funzione tempo minimo Τ per sistemi di controllo sia lineari che non lineari in dimensione finita. Si considerano dapprima problemi non lineari in cui la condizione di controllabilità detta di Petrov è soddisfatta. Come è ben noto, in questo caso Τ è localmente Lipschitziana e quindi è differenziabile quasi ovunque. In generale, Τ non è differenziabile nei punti dai quali escono diverse traiettorie ottimali e inoltre il fatto che Τ è differenziabile in un punto non garantisce che lo sia in un intorno (l'insieme dei punti di differenziabilità non è aperto). Imponendo alcune condizioni di regolarità sulla dinamica, si dimostra che se il sottodifferenziale prossimale di Τ è non vuoto in un punto x, allora Τ è differenziabile in tutto un intorno di x. La tecnica usata consiste nel derivare relazioni di sensitività per il sottodifferenziale prossimale di Τ e nell'escludere la presenza di punti coniugati dove tale sottodifferenziale è non vuoto. In secondo luogo si studia la regolarità di Τ sotto condizioni di controllabilità più generali, tali da non imporre la Lipschitzianità. In questo caso il bersaglio è l'origine e la dinamica è -- principalmente -- lineare a coefficienti costanti. Si identificano alcuni insiemi singolari (cioè dove Τ non è differenziabile), ad esempio l'insieme dove Τ non è Lipschitz e l'insieme dei punti dove l'insieme raggiungibile presenta più di un versore normale, e si dimostrano risultati di rettificabilità, in questo modo mostrando che sono ``molto piccoli''. Come conseguenza si ricavano ulteriori risultati di regolarità per Τ, fra i quali la regolarità SBV e la differenziabilità e l'analiticità in aperti il cui complementare ha dimensione inferiore a quella dello spazio degli stati. La tecnica usata è basata principalmente su un'analisi accurata degli zeri della cosiddetta funzione di switching.
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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 problem is either weak (that is, it is behaves asymptotically like the fundamental solution at zero) or strong (where it dominates the fundamental solution at zero). The main difficulty and novelty of this thesis, for which we develop new techniques, come from the explicit asymptotic behaviour of the strong singularity solutions in the critical case, which had previously remained open even for the p-Laplacian. We also study the existence and uniqueness of the positive solution of our problem with a prescribed admissible behaviour at zero and a Dirichlet condition on the boundary of the unit ball. We also classify the behaviour near zero of the positive solutions with isolated singularities for the weighted p-Laplacian equation. We show that all positive solutions of this problem either has a finite limit at the singularity (and, in certain cases, the solution can be extended as a continuous solution in the entire unit ball), or has a weak singularity depending on the range of p. We note there are no solutions with strong singularities here, unlike the case above where absorption terms are introduced.
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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 de Chevalley-Weil basée sur des travaux de Qing Liu et Dino Lorenzini. Notre borne est non seulement plus nette que celle de Sha, mais également explicite en tous les paramètres. Dans la deuxième partie, nous considérons des modules singuliers de courbes elliptiques. Pour un module singulier fixe a, nous donnons une borne supérieure effective de la norme de x - a pour un autre module singulier x avec un grand discriminant. Dans la troisième partie, nous donnons une relation entre les conducteurs d’Artin d’un modèle Werestrass Y et ceux de deux modèles de Weierstrass donnés Y1,Y2. Avec cette relation, nous déduisons que l’inégalité conducteur-discriminant est valable pour Y si elle est valable pour Y1 et Y2
This thesis discusses three topics, so it includes three parts. In the first part, we study S-integral points on the modular curve X0(p). Bilushowed that, using Baker’s method, they can be effectively bounded in terms of p, the base field and the set of places S. Sha made this result explicit, but the bound he obtained is double exponential in p. We drastically improve upon the result of Sha, obtaining a simple exponential bound. This is done using a very explicit version of the Chevalley-Weil principle based on the work of Liu and Lorenzini. Our bound is not only sharper than that of Sha, but is also explicit in all parameters. In the second part, we consider singular moduli. For a fixed singular modulus a, we give an effective upper bound of norm of x - a for another singular modulus x with large discriminant. In the third part, we give a relation between Artin conductors of a Weierstrass model Y and the ones of two given Weierstrass models Y1,Y2. With this relation, we know that the conductor-discriminant inequality holds for Y if it holds for Y1 and Y2
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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] et 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 explicitly the first terms of the asymptotic expansion and we show that they satisfy either an integro-differential equation or a Poisson equation. In addition, we derive the existence and uniqueness conditions of the risk model with two stochastic volatilities factors.
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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.
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 messages in such way that anyone except the intended recipient is unaware of the existence of the message but with the use of statistical steganalysis methods those hidden messages can be detected. This thesis consists of two steganography (LSB and LSBH) and two steganalysis methods (RS and PoV) description and implementation. All methods were implemented with JAVA code. Thesis is concluded with a comparison of these methods' quality.
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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 auf Anwendungen auf Komplementaritätsprobleme betrachten wir auch Systeme, deren Jacobimatrix nicht differenzierbar sondern nur semismooth ist. Auch hier erreicht unser stabilisiertes und beschleunigtes Newton- Verfahren Superlinearität bei einfachen Singularitäten.
In this thesis we present a new type of line-search for Newton’s method, based on range space interpolation as suggested by Wedin et al. [LW84]. The resulting stabilized Newton algorithm is theoretically and practically shown to be efficient in the case of nonsingular roots. Moreover it is observed that it maintains a superlinear rate of convergence at simple singularities. Whereas Newton’s method without line-search is known to converge only linearly from almost all points near the singular root. In view of applications to complementarity problems we also consider systems, whose Jacobian is not differentiable but only semismooth. Again, our stabilized and accelerated Newton’s method achieves superlinearity at simple singularities.
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Livres sur le sujet "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 : 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 : Beijing zhong xian tuo fang ke ji fa zhan you xian gong si, 2007.

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3

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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4

Downing, Laura J., et 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 and in the formation of causative verbs.
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Lattman, Eaton E., Thomas D. Grant et 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 that the resulting scattering profile calculated from the model agrees with the experimental SAXS data. More advanced hybrid modelling procedures aim to incorporate as much structural information as is available, including modelling protein dynamics. Solutions may not always contain a homogeneous set of particles. A common case is the presence of two or more conformations of a single particle or a mixture of oligomeric species. The method of singular value decomposition can extract scattering for conformationally distinct species.
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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 and Dirac’s different types of constraints (i.e. first-class constraints, second-class constraints, primary constraints and secondary constraints) before deriving the Dirac bracket from simple arguments. The Jackiw–Fadeev constraint formulation is then discussed before the chapter closes with the Güler formulation for a constrained Hamilton–Jacobi theory.
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Lugo, Stefano, et Fabio Bertoni. The Use of Debt by Sovereign Wealth Funds. Sous la direction de Douglas Cumming, Geoffrey Wood, Igor Filatotchev et 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 a reference yield curve. Third: the use of debt capital is particularly appropriate for portfolio SWFs investing in concentrated portfolios of selected companies for strategic and financial reasons. SWFs are more likely to use debt when they are non-commodity-based, come from countries with relatively less developed bond markets, and have a strategic investment style.
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Huffaker, Ray, Marco Bittelli et 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 how data can be pre-processed to control for the noise and nonstationarity potentially camouflaging nonlinear deterministic drivers of observed complexity. We can apply signal-detection methods, such as Singular Spectrum Analysis (SSA), to separate signal from noise in the data, and test the signal for nonstationarity potentially corrected with SSA. SSA measures signal strength which provides a useful initial indicator of whether we should continue searching for endogenous nonlinear drivers of complexity. We begin diagnosing deterministic structure in an isolated signal by attempting to reconstructed a shadow attractor. Finally, we use the classic Lorenz equations to illustrate how a deterministic nonlinear system of ODEs with at least three equations can generate observed irregular dynamics endogenously without aid of exogenous shocks or nonstationary dynamics.
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Chapitres de livres sur le sujet "Regular and singular curve"

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Winkler, Joab R. « Backward Errors and Condition Numbers of Regular and Singular Points on Algebraic Curves ». Dans Mathematics of Surfaces XI, 413–33. Berlin, Heidelberg : Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11537908_25.

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Haraoka, Yoshishige. « Regular Singular Points ». Dans Lecture Notes in Mathematics, 29–62. Cham : Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-54663-2_4.

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Epstein, Marcelo, et Reuven Segev. « Regular and Singular Dislocations ». Dans Advances in Mechanics and Mathematics, 223–65. Cham : Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-42683-5_5.

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Barbu, Luminiţa, et Gheorghe Moroşanu. « Regular and Singular Perturbations ». Dans International Series of Numerical Mathematics, 3–15. Basel : Birkhäuser Basel, 2007. http://dx.doi.org/10.1007/978-3-7643-8331-2_1.

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Reznik, Gregory, et Ziv Kizner. « Singular vortices in regular flows ». Dans Iutam Bookseries, 81–91. Dordrecht : 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 ». Dans Causation, Chance and Credence, 79–97. Dordrecht : 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 ». Dans Elliptic and Parabolic Equations, 1–43. Cham : Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12547-3_1.

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Başar, Tamer, et Pierre Bernhard. « Robustness to Regular and Singular Perturbations ». Dans H∞-Optimal Control and Related Minimax Design Problems, 309–46. Boston, MA : 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 ». Dans Springer Proceedings in Mathematics & ; Statistics, 195–221. Cham : Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-68490-7_10.

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Korporal, Anja, Georg Regensburger et Markus Rosenkranz. « Regular and Singular Boundary Problems in Maple ». Dans Computer Algebra in Scientific Computing, 280–93. Berlin, Heidelberg : Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23568-9_22.

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Actes de conférences sur le sujet "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 ». Dans 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, et Peter Gunther. « Singular Curve Point Decompression Attack ». Dans 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 ». Dans 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 ». Dans 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 ». Dans 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, et Chun-Gang Zhu. « The Number of Regular Control Curves of NURBS Curve ». Dans Computer Graphics International 2018. New York, New York, USA : ACM Press, 2018. http://dx.doi.org/10.1145/3208159.3208168.

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Yun Zou, Weiqun Wang et Shengyuan Xu. « Regular State Observers Design for 2-D Singular Roesser Models ». Dans 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, et Azadeh Mansouri. « Blind image steganalysis based on reciprocal singular value curve ». Dans 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 et Salvatore Grande. « Kinematic Synthesis of Rotary Machines Generated by Regular Curve-Polygons ». Dans 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 examples are reported.
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Jin, Zhenghong, Qingling Zhang et Yi Zhang. « The Impulse Analysis of the Regular Singular System via Kronecker Indices ». Dans 2018 2nd International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2018). Paris, France : Atlantis Press, 2018. http://dx.doi.org/10.2991/ammsa-18.2018.13.

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Rapports d'organisations sur le sujet "Regular and singular curve"

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Torres, Marissa, Michael-Angelo Lam et Matt Malej. Practical guidance for numerical modeling in FUNWAVE-TVD. Engineer Research and Development Center (U.S.), octobre 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 presenting general numerical modeling best practices for FUNWAVE-TVD, the influence of nonlinear wave-wave interactions on regular wave propagation in the numerical domain is discussed. The scope of coastal structures considered in this document is restricted to a single partially submerged, impermeable breakwater, but the setup and the results can be extended to other similar structures without a loss of generality. The intended audience for these materials is novice to intermediate users of the FUNWAVE-TVD wave model, specifically those seeking to implement coastal structures in a numerical domain or to investigate basic wave-structure interaction responses in a surrogate model prior to considering a full-fledged 3-D Navier-Stokes Computational Fluid Dynamics (CFD) model. From this document, users will gain a fundamental understanding of practical modeling guidelines that will flatten the learning curve of the model and enhance the final product of a wave modeling study. Providing coastal planners and engineers with ease of model access and usability guidance will facilitate rapid screening of design alternatives for efficient and effective decision-making under environmental uncertainty.
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