Relevant bibliographies by topics / Jacobi constant

Academic literature on the topic 'Jacobi constant'

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Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Jacobi constant"

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Andrejic, Vladica. "On Lorentzian spaces of constant sectional curvature." Publications de l'Institut Math?matique (Belgrade) 103, no. 117 (2018): 7–15. http://dx.doi.org/10.2298/pim1817007a.

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We investigate Osserman-like conditions for Lorentzian curvature tensors that imply constant sectional curvature. It is known that Osserman (moreover zwei-stein) Lorentzian manifolds have constant sectional curvature. We prove that some generalizations of the Rakic duality principle (Lorentzian totally Jacobi-dual or four-dimensional Lorentzian Jacobi-dual) imply constant sectional curvature. Moreover, any four-dimensional Jacobi-dual algebraic curvature tensor such that the Jacobi operator for some nonnull vector is diagonalizable, is Osserman. Additionally, any Lorentzian algebraic curvature tensor such that the reduced Jacobi operator for all nonnull vectors has a single eigenvalue has a constant sectional curvature.
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Mysen, E., and K. Aksnes. "The Jacobi constant for a cometary orbiter." Astronomy & Astrophysics 443, no. 2 (November 2005): 691–701. http://dx.doi.org/10.1051/0004-6361:20053416.

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Álvarez, A. "The p-rank of the reduction mod p of Jacobians and Jacobi sums." International Journal of Number Theory 10, no. 08 (October 29, 2014): 2097–114. http://dx.doi.org/10.1142/s1793042114500705.

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Let YK → XK be a ramified cyclic covering of curves, where K is a cyclotomic field. In this work we study the p-rank of the reduction mod p of a model of the Jacobian of YK. In this way, we obtain counterparts of the Deuring polynomial, defined for elliptic curves, for genus greater than one. We provide a new point of view of this subject in terms of L-functions. To carry out this study we use the relationship between Jacobi sums and L-functions. This is established in [A. Weil, Jacobi sums as "Grössencharaktere", Trans. Amer. Math. Soc. 73 (1952) 487–495] for the case of Fermat curves. We also give a new proof of a result of Deligne concerning the constant terms of these L-functions and Jacobi sums.
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Elsner, Carsten, and Yohei Tachiya. "Algebraic results for certain values of the Jacobi theta-constant $\theta_3(\tau)$." MATHEMATICA SCANDINAVICA 123, no. 2 (August 13, 2018): 249–72. http://dx.doi.org/10.7146/math.scand.a-105465.

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In its most elaborate form, the Jacobi theta function is defined for two complex variables $z$ and τ by $\theta (z|\tau ) =\sum _{\nu =-\infty }^{\infty } e^{\pi i\nu ^2\tau + 2\pi i\nu z}$, which converges for all complex number $z$, and τ in the upper half-plane. The special case \[ \theta _3(\tau ):=\theta (0|\tau )= 1+2\sum _{\nu =1}^{\infty } e^{\pi i\nu ^2 \tau } \] is called a Jacobi theta-constant or Thetanullwert of the Jacobi theta function $\theta (z|\tau )$. In this paper, we prove the algebraic independence results for the values of the Jacobi theta-constant $\theta _3(\tau )$. For example, the three values $\theta _3(\tau )$, $\theta _3(n\tau )$, and $D\theta _3(\tau )$ are algebraically independent over $\mathbb{Q} $ for any τ such that $q=e^{\pi i\tau }$ is an algebraic number, where $n\geq 2$ is an integer and $D:=(\pi i)^{-1}{d}/{d\tau }$ is a differential operator. This generalizes a result of the first author, who proved the algebraic independence of the two values $\theta _3(\tau )$ and $\theta _3(2^m\tau )$ for $m\geq 1$. As an application of our main theorem, the algebraic dependence over $\mathbb{Q} $ of the three values $\theta _3(\ell \tau )$, $\theta _3(m\tau )$, and $\theta _3(n\tau )$ for integers $\ell ,m,n\geq 1$ is also presented.
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Doha, E. H., A. H. Bhrawy, and R. M. Hafez. "A Jacobi Dual-Petrov-Galerkin Method for Solving Some Odd-Order Ordinary Differential Equations." Abstract and Applied Analysis 2011 (2011): 1–21. http://dx.doi.org/10.1155/2011/947230.

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A Jacobi dual-Petrov-Galerkin (JDPG) method is introduced and used for solving fully integrated reformulations of third- and fifth-order ordinary differential equations (ODEs) with constant coefficients. The reformulated equation for theJth order ODE involvesn-fold indefinite integrals forn=1,…,J. Extension of the JDPG for ODEs with polynomial coefficients is treated using the Jacobi-Gauss-Lobatto quadrature. Numerical results with comparisons are given to confirm the reliability of the proposed method for some constant and polynomial coefficients ODEs.
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Reisinger, C., and P. A. Forsyth. "Piecewise constant policy approximations to Hamilton–Jacobi–Bellman equations." Applied Numerical Mathematics 103 (May 2016): 27–47. http://dx.doi.org/10.1016/j.apnum.2016.01.001.

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Zagirov, N. Sh, and T. U. Gadzhieva. "Estimates of Markov constant in the Jacobi weight space." Herald of Dagestan State University 33, no. 3 (2018): 54–61. http://dx.doi.org/10.21779/2542-0321-2018-33-3-54-61.

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Arias-Marco, Teresa, and Antonio M. Naveira. "Constant Jacobi osculating rank of a g.o. space. A method to obtain explicitly the Jacobi operator." Publicationes Mathematicae Debrecen 74, no. 1-2 (January 1, 2009): 135–57. http://dx.doi.org/10.5486/pmd.2009.4334.

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Wang, Fa Xing, and Ying Zheng. "Alternative Method of Progressive Eigenvalue of the Unbounded Jacobi Matrix." Applied Mechanics and Materials 543-547 (March 2014): 846–49. http://dx.doi.org/10.4028/www.scientific.net/amm.543-547.846.

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This article introduces the alternative principle of progressive characteristic of unbounded Jacobi matrix into the process of automatic control of circuit which makes the feedback signal of control circuit has two different delay characteristics using unbounded Jacobi matrix. It also adds the weight of transconductance unit. The voltage signal can output smoothly which reduces the oscillation of the circuit and improves the accuracy of the circuits automatic control. This paper studies the control role of unbounded Jacobi matrix on the circuit using experimental method and gets the I / V curve. From the curve, we can concludes that the I / V of the circuit is not constant. The boundaries of linear region and the saturation region correspond with unbounded Jacobi matrix theory. Linear and saturation regions have no obviously transition boundary which applies unbounded Jacobi matrix to the automatic process of circuits successfully.
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Koufogiorgos, T., M. Markellos, and C. Tsichlias. "Tangent sphere bundles with constant trace of the Jacobi operator." Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 53, no. 2 (June 14, 2011): 551–68. http://dx.doi.org/10.1007/s13366-011-0057-3.

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Dissertations / Theses on the topic "Jacobi constant"

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Cárdenas, Carlos Wilson Rodríguez. "Genericity of bumpy metrics, bifurcation and stability in free boundary CMC hypersurfaces." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-15022019-111803/.

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In this thesis we prove the genericity of the set of metrics on a manifold with boundary M^{n+1}, such that all free boundary constant mean curvature (CMC) embeddings \\varphi: \\Sigma^n \\to M^{n+1}, being \\Sigma a manifold with boundary, are non-degenerate (Bumpy Metrics), (Theorem 2.4.1). We also give sufficient conditions to obtain a free boundary CMC deformation of a CMC inmersion (Theorems 3.2.1 and 3.2.2), and a stability criterion for this type of immersions (Theorem 3.3.3 and Corollary 3.3.5). In addition, given a one-parametric family, {\\varphi _t : \\Sigma \\to M} , of free boundary CMC immersions, we give criteria for the existence of smooth bifurcated branches of free boundary CMC immersions for the family {\\varphi_t}, via the implicit function theorem when the kernel of the Jacobi operator J is non-trivial, (Theorems 4.2.3 and 4.3.2), and we study stability and instability problems for hypersurfaces in this bifurcated branches (Theorems 5.3.1 and 5.3.3).
Nesta tese, provamos a genericidade do conjunto de métricas em uma variedade com fronteira M^{n+1}, de modo que todos os mergulhos de curvatura média constante (CMC) e fronteira livre \\varphi : \\Sigma^n \\to M^{n+1}, sendo \\Sigma uma variedade com fronteira, sejam não-degenerados (Métricas Bumpy), (Teorema 2.4.1). Nós também fornecemos condições suficientes para obter uma deformação CMC e fronteira livre de uma imersão CMC (Teoremas 3.2.1 and 3.2.2), e um critério de estabilidade para este tipo de imersões (Teorema 3.3.3 and Corolario 3.3.5). Além disso, dada uma família 1-paramétrica, {\\varphi _t : \\Sigma \\to M} , de imersões de CMC e fronteira livre, damos os critérios para a existência de ramos de bifurcação suaves de imersões CMC e fronteira livre para a familia {\\varphi_t}, por meio de o teorema da função implícita quando o kernel do operador Jacobi J é não-trivial, (Teoremas 4.2.3 and 4.3.2), e estudamos o problema da estabilidade e instabilidade para hipersuperfícies em naqueles ramos de bifurcação (Teoremas 5.3.1 and 5.3.3).
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Sadik, Mohamed. "Inégalités de Markov-Bernstein en L2 : les outils mathématiques d'encadrement de la constante de Markov-Bernstein." Phd thesis, INSA de Rouen, 2010. http://tel.archives-ouvertes.fr/tel-00557914.

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Les travaux de recherche de cette thèse concernent l'encadrement de la constante de Markov Bernstein pour la norme L2 associée aux mesures de Jacobi et Gegenbauer généralisée. Ce travail est composé de deux parties : dans la première partie, nous avons développé une généralisation de l'algorithme qd pour les matrices symétriques définies positives à largeur de bande $\ell$ et nous avons construit l'algorithme qd pour les matrices de Jacobi par blocs. Ensuite, nous l'avons généralisé aux cas des matrices par bloc à largeur de bande $\ell$. Ces algorithmes nous permettent de trouver un majorant de la constante. Enfin, nous avons développé le déterminant caractéristique d'une matrice symétrique définie positive pentadiagonale, ce qui nous permet d'obtenir un minorant de la constante en utilisant la méthode de Newton. La deuxième partie est consacrée à l'application de tous les outils développés à l'encadrement de la constante de Markov Bernstein pour la norme L2 associée à la mesure de Gegenbauer généralisée.
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Moeletsi, Jacob Monanoe Ditlhokoa. "An investigation of the barriers and constraint factors that influence the entrepreneurs in the tourism industry / by Jacob Mohanoe [i.e.Monanoe] D. Moeletsi." Thesis, North-West University, 2004. http://hdl.handle.net/10394/2372.

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Arène, Christophe. "Géométrie et arithmétique explicites des variétés abéliennes et applications à la cryptographie." Thesis, Aix-Marseille 2, 2011. http://www.theses.fr/2011AIX22069/document.

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Les principaux objets étudiés dans cette thèse sont les équations décrivant le morphisme de groupe sur une variété abélienne, plongée dans un espace projectif, et leurs applications en cryptographie. Notons g sa dimension et k son corps de définition. Ce mémoire est composé de deux parties. La première porte sur l'étude des courbes d'Edwards, un modèle pour les courbes elliptiques possédant un sous-groupe de points k-rationnels cyclique d'ordre 4, connues en cryptographie pour l'efficacité de leur loi d'addition et la possibilité qu'elle soit définie pour toute paire de points k-rationnels (loi d'addition k-complète). Nous en donnons une interprétation géométrique et en déduisons des formules explicites pour le calcul du couplage de Tate réduit sur courbes d'Edwards tordues, dont l'efficacité rivalise avec les modèles elliptiques couramment utilisés. Cette partie se conclut par la génération, spécifique au calcul de couplages, de courbes d'Edwards dont les tailles correspondent aux standards cryptographiques actuellement en vigueur. Dans la seconde partie nous nous intéressons à la notion de complétude introduite ci-dessus. Cette propriété est cryptographiquement importante car elle permet d'éviter des attaques physiques, comme les attaques par canaux cachés, sur des cryptosystèmes basés sur les courbes elliptiques ou hyperelliptiques. Un précédent travail de Lange et Ruppert, basé sur la cohomologie des fibrés en droite, permet une approche théorique des lois d'addition. Nous présentons trois résultats importants : tout d'abord nous généralisons un résultat de Bosma et Lenstra en démontrant que le morphisme de groupe ne peut être décrit par strictement moins de g+1 lois d'addition sur la clôture algébrique de k. Ensuite nous démontrons que si le groupe de Galois absolu de k est infini, alors toute variété abélienne peut être plongée dans un espace projectif de manière à ce qu'il existe une loi d'addition k-complète. De plus, l'utilisation des variétés abéliennes nous limitant à celles de dimension un ou deux, nous démontrons qu'une telle loi existe pour leur plongement projectif usuel. Finalement, nous développons un algorithme, basé sur la théorie des fonctions thêta, calculant celle-ci dans P^15 sur la jacobienne d'une courbe de genre deux donnée par sa forme de Rosenhain. Il est désormais intégré au package AVIsogenies de Magma
The main objects we study in this PhD thesis are the equations describing the group morphism on an abelian variety, embedded in a projective space, and their applications in cryptograhy. We denote by g its dimension and k its field of definition. This thesis is built in two parts. The first one is concerned by the study of Edwards curves, a model for elliptic curves having a cyclic subgroup of k-rational points of order 4, known in cryptography for the efficiency of their addition law and the fact that it can be defined for any couple of k-rational points (k-complete addition law). We give the corresponding geometric interpretation and deduce explicit formulae to calculate the reduced Tate pairing on twisted Edwards curves, whose efficiency compete with currently used elliptic models. The part ends with the generation, specific to pairing computation, of Edwards curves with today's cryptographic standard sizes. In the second part, we are interested in the notion of completeness introduced above. This property is cryptographically significant, indeed it permits to avoid physical attacks as side channel attacks, on elliptic -- or hyperelliptic -- curves cryptosystems. A preceeding work of Lange and Ruppert, based on cohomology of line bundles, brings a theoretic approach of addition laws. We present three important results: first of all we generalize a result of Bosma and Lenstra by proving that the group morphism can not be described by less than g+1 addition laws on the algebraic closure of k. Next, we prove that if the absolute Galois group of k is infinite, then any abelian variety can be projectively embedded together with a k-complete addition law. Moreover, a cryptographic use of abelian varieties restricting us to the dimension one and two cases, we prove that such a law exists for their classical projective embedding. Finally, we develop an algorithm, based on the theory of theta functions, computing this addition law in P^15 on the Jacobian of a genus two curve given in Rosenhain form. It is now included in AVIsogenies, a Magma package
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Vestin, Albin, and Gustav Strandberg. "Evaluation of Target Tracking Using Multiple Sensors and Non-Causal Algorithms." Thesis, Linköpings universitet, Reglerteknik, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-160020.

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Today, the main research field for the automotive industry is to find solutions for active safety. In order to perceive the surrounding environment, tracking nearby traffic objects plays an important role. Validation of the tracking performance is often done in staged traffic scenarios, where additional sensors, mounted on the vehicles, are used to obtain their true positions and velocities. The difficulty of evaluating the tracking performance complicates its development. An alternative approach studied in this thesis, is to record sequences and use non-causal algorithms, such as smoothing, instead of filtering to estimate the true target states. With this method, validation data for online, causal, target tracking algorithms can be obtained for all traffic scenarios without the need of extra sensors. We investigate how non-causal algorithms affects the target tracking performance using multiple sensors and dynamic models of different complexity. This is done to evaluate real-time methods against estimates obtained from non-causal filtering. Two different measurement units, a monocular camera and a LIDAR sensor, and two dynamic models are evaluated and compared using both causal and non-causal methods. The system is tested in two single object scenarios where ground truth is available and in three multi object scenarios without ground truth. Results from the two single object scenarios shows that tracking using only a monocular camera performs poorly since it is unable to measure the distance to objects. Here, a complementary LIDAR sensor improves the tracking performance significantly. The dynamic models are shown to have a small impact on the tracking performance, while the non-causal application gives a distinct improvement when tracking objects at large distances. Since the sequence can be reversed, the non-causal estimates are propagated from more certain states when the target is closer to the ego vehicle. For multiple object tracking, we find that correct associations between measurements and tracks are crucial for improving the tracking performance with non-causal algorithms.
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Rajaratnam, Krishan. "Orthogonal Separation of The Hamilton-Jacobi Equation on Spaces of Constant Curvature." Thesis, 2014. http://hdl.handle.net/10012/8350.

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What is in common between the Kepler problem, a Hydrogen atom and a rotating black- hole? These systems are described by different physical theories, but much information about them can be obtained by separating an appropriate Hamilton-Jacobi equation. The separation of variables of the Hamilton-Jacobi equation is an old but still powerful tool for obtaining exact solutions. The goal of this thesis is to present the theory and application of a certain type of conformal Killing tensor (hereafter called concircular tensor) to the separation of variables problem. The application is to spaces of constant curvature, with special attention to spaces with Euclidean and Lorentzian signatures. The theory includes the general applicability of concircular tensors to the separation of variables problem and the application of warped products to studying Killing tensors in general and separable coordinates in particular. Our first main result shows how to use these tensors to construct a special class of separable coordinates (hereafter called Kalnins-Eisenhart-Miller (KEM) coordinates) on a given space. Conversely, the second result generalizes the Kalnins-Miller classification to show that any orthogonal separable coordinates in a space of constant curvature are KEM coordinates. A closely related recursive algorithm is defined which allows one to intrinsically (coordinate independently) search for KEM coordinates which separate a given (natural) Hamilton-Jacobi equation. This algorithm is exhaustive in spaces of constant curvature. Finally, sufficient details are worked out, so that one can apply these procedures in spaces of constant curvature using only (linear) algebraic operations. As an example, we apply the theory to study the separability of the Calogero-Moser system.
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Cochran, Caroline. "THE EQUIVALENCE PROBLEM FOR ORTHOGONALLY SEPARABLE WEBS ON SPACES OF CONSTANT CURVATURE." 2011. http://hdl.handle.net/10222/14191.

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This thesis is devoted to creating a systematic way of determining all inequivalent orthogonal coordinate systems which separate the Hamilton-Jacobi equation for a given natural Hamiltonian defined on three-dimensional spaces of constant, non-zero curvature. To achieve this, we represent the problem with Killing tensors and employ the recently developed invariant theory of Killing tensors. Killing tensors on the model spaces of spherical and hyperbolic space enjoy a remarkably simple form; even more striking is the fact that their parameter tensors admit the same symmetries as the Riemann curvature tensor, and thus can be considered algebraic curvature tensors. Using this property to obtain invariants and covariants of Killing tensors, together with the web symmetries of the associated orthogonal coordinate webs, we establish an equivalence criterion for each space. In the case of three-dimensional spherical space, we demonstrate the surprising result that these webs can be distinguished purely by the symmetries of the web. In the case of three-dimensional hyperbolic space, we use a combination of web symmetries, invariants and covariants to achieve an equivalence criterion. To completely solve the equivalence problem in each case, we develop a method for determining the moving frame map for an arbitrary Killing tensor of the space. This is achieved by defining an algebraic Ricci tensor. Solutions to equivalence problems of Killing tensors are particularly useful in the areas of multiseparability and superintegrability. This is evidenced by our analysis of symmetric potentials defined on three-dimensional spherical and hyperbolic space. Using the most general Killing tensor of a symmetry subspace, we derive the most general potential “compatible” with this Killing tensor. As a further example, we introduce the notion of a joint invariant in the vector space of Killing tensors and use them to characterize a well-known superintegrable potential in the plane. xiii
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Serrano, Carolina 1994. "A dimensão espiritual da escultura através da obra de XIX artistas." Master's thesis, 2018. http://hdl.handle.net/10451/33652.

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The spiritual dimention in art, in the European context, has been, for centuries, almost exclusively related with religion. However, in the modernity, with the loss of prominence of religion, and with the divorce of art and the Church, that dimention has became accessible to be freely and autonomously explored by art, and in this specific case, by sculpture. If, in general, from the point of view of modernism, it is known that art has lost its notion of transcendence, in accordance with a destructive demand of the artistic tradition, concentrating, instead, on exploiring and evaluating its own possibilities, however, it is also possible to notice the presence of a strong spiritual dimension in the life and work of many modern and contemporary artists. This dissertation is the result of a research of this spiritual dimention in the 20th and 21st century sculpture, through an analysis of the life, work and/or cultural circumstances of nineteen artists, namely Constantin Brancusi (1876-1957), Marcel Duchamp (1887-1968), Jean Arp (1886-1966), Jacob Epstein (1880-1959), Alberto Giacometti (1901-1966), Henry Moore (1898-1986), Barbara Hepworth (1913-1975), Isamu Noguchi (1904-1988), Alberto Carneiro (1937-2017), Louise Nevelson (1899-1988), Lourdes Castro (1930), Germaine Richier (1902-1959), Barnett Newman (1905-1970), Anselm Kiefer (1945), Joseph Beuys (1921-1986), Richard Long (1945), Rui Chafes (1966), Anish Kapoor (1954) and Diogo Pimentão (1973)
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Books on the topic "Jacobi constant"

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Back, Kerry E. Continuous-Time Portfolio Choice and Pricing. Oxford University Press, 2017. http://dx.doi.org/10.1093/acprof:oso/9780190241148.003.0014.

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The Euler equation is defined. The static approach can be used to derive an optimal portfolio in a complete market and when the investment opportunity set is constant. In the latter case, the optimal portfolio is proportional to the growth‐optimal portfolio and two‐fund separation holds. Dynamic programming and the Hamilton‐Jacobi‐Bellman equation are explained. An optimal portfolio consists of myopic and hedging demands. The envelope condition is explained. CRRA utility implies a CRRA value function. The CCAPM and ICAPM are derived.
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Nisenbaum, Karin. The Unconditioned in Human Knowledge. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780190680640.003.0005.

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This chapter explains the Fichtean view that the act of self-positing is the ground of all constraint or necessitation, both in the theoretical and practical domains. The chapter also shows that Fichte developed the notion of the self-positing subject in order to meet reason’s demand for unconditioned explanation, without falling prey to the nihilistic consequences of philosophical reflection that Jacobi had diagnosed. To this end, the chapter explains Jacobi’s nihilism complaint in a manner that is conversant with current debates in metaphysics. In doing so, it shows that Jacobi and Fichte can still help us understand the place of freedom and the role of commitment within philosophical reflection. To bring the relationship between freedom and reason into focus, the chapter clarifies the idea that criticism and dogmatism represent two distinct, theoretically indemonstrable philosophical systems, and it offers two different interpretations of the idea that the German Idealist system is a “philosophy of practical postulates.”
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Henriksen, Niels E., and Flemming Y. Hansen. Theories of Molecular Reaction Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805014.001.0001.

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This book deals with a central topic at the interface of chemistry and physics—the understanding of how the transformation of matter takes place at the atomic level. Building on the laws of physics, the book focuses on the theoretical framework for predicting the outcome of chemical reactions. The style is highly systematic with attention to basic concepts and clarity of presentation. Molecular reaction dynamics is about the detailed atomic-level description of chemical reactions. Based on quantum mechanics and statistical mechanics or, as an approximation, classical mechanics, the dynamics of uni- and bimolecular elementary reactions are described. The first part of the book is on gas-phase dynamics and it features a detailed presentation of reaction cross-sections and their relation to a quasi-classical as well as a quantum mechanical description of the reaction dynamics on a potential energy surface. Direct approaches to the calculation of the rate constant that bypasses the detailed state-to-state reaction cross-sections are presented, including transition-state theory, which plays an important role in practice. The second part gives a comprehensive discussion of basic theories of reaction dynamics in condensed phases, including Kramers and Grote–Hynes theory for dynamical solvent effects. Examples and end-of-chapter problems are included in order to illustrate the theory and its connection to chemical problems. The book has ten appendices with useful details, for example, on adiabatic and non-adiabatic electron-nuclear dynamics, statistical mechanics including the Boltzmann distribution, quantum mechanics, stochastic dynamics and various coordinate transformations including normal-mode and Jacobi coordinates.
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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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Anders, Torsten. Compositions Created with Constraint Programming. Edited by Roger T. Dean and Alex McLean. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780190226992.013.5.

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This chapter surveys music constraint programming systems, and how composers have used them. The chapter motivates why and explains how users of such systems describe intended musical results with constraints. This approach to algorithmic composition is similar to the way declarative and modular compositional rules have successfully been used in music theory for centuries as a device to describe composition techniques. This systematic overview highlights the respective strengths of different approaches and systems from a composer’s point of view, complementing other more technical surveys of this field. This text describes the music constraint systems PMC, Score-PMC, PWMC (and its successor Cluster Engine), Strasheela, and Orchidée—most are libraries of the composition systems PWGL or OpenMusic. These systems are shown in action by discussions of the composition processes of specific works by Jacopo Baboni Schilingi, Magnus Lindberg, Örjan Sandred, Torsten Anders, Johannes Kretz, and Jonathan Harvey.
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Pericão, Maria da Graça. Fundo Bibliográfico Antigo da Faculdade de Medicina da Universidade de Coimbra: séc. XV-XVIII. Imprensa da Universidade de Coimbra, 2020. http://dx.doi.org/10.14195/978-989-26-1827-2.

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Dos 581 títulos que constituem o fundo bibliográfico antigo da Faculdade de Medicina da Universidade de Coimbra e que abarcam os séculos XV a XVIII, cabem ao século XV apenas cinco, constituindo, assim, os denominados incunábulos, o núcleo mais antigo. Do século XVI podem destacar-se nomes como Amato Lusitano, Aristóteles, Avicena, Guido de Chauliac, Dioscórides, Hipócrates, Galeno, Jacopo da Forli, Rasis, o “damasceno” Mesue e Pedro Julião ou Pedro Hispano. Estes são os principais manuais que contêm, na sua maior parte, comentários aos clássicos gregos da medicina, particularmente Galeno, Hipócrates e Dioscórides, pois o estudo medieval feito a partir do comentário, geralmente traduzido graficamente pelo texto original da auctoritas a ocupar o centro da página, destacado pelo corpo do tipo e rodeado pelo comentário ou glosa, ainda estava muito presente no século XVI. Em matérias tão sensíveis como a Medicina, as afirmações tinham que estar fundamentadas em qualquer dos autores reconhecidos como autoridades. Do século XVII constam algumas obras de autores portugueses como Duarte Madeira Arrais, Manuel de Azevedo, Rodrigo de Castro (segundo alguns o fundador da obstetrícia portuguesa), Rodrigo da Fonseca, Tomás Rodrigues da Veiga e Abraão Zacuto, este impresso em Lyon e Amsterdão, tal como alguns dos atrás citados, o que atesta o reconhecimento internacional dos estudos destes autores portugueses. Do século XVIII, a par com as farmacopeias, avulta um número significativo de obras de cirurgia, algumas das quais de autoria portuguesa e numerosos dicionários de matéria médica, de História da Medicina e, curiosamente, dicionários portáteis de saúde, na linha dos tratados da saúde dos povos. Autores portugueses como Jacob de Castro Sarmento, João Curvo Semedo, Feliciano de Almeida e outros, publicam as suas obras em Portugal e no estrangeiro. Intensifica-se a produção de obras de Fisiologia, Física médica e medicina conservativa e preventiva. O presente trabalho descreve minuciosamente cada um dos exemplares deste fundo, dando especial relevo à sua proveniência atestada pelas numerosas notas manuscritas, na sua grande maioria congregações religiosas, de que se destaca a Livraria do Mosteiro de Santa Cruz dos Cónegos Regrantes de Santo Agostinho com 337 exemplares e alguns antigos colégios universitários que possuíam, de facto, em número e qualidade variados, núcleos bibliográficos que apoiavam as populações religiosas e estudantis que os frequentavam.
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Zaritt, Saul Noam. Jewish American Writing and World Literature. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198863717.001.0001.

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Jewish American Writing and World Literature studies Jewish American writers’ relationships with the idea of world literature—how they place themselves within its boundaries, outside its purview, or, most often, in constant motion across and beyond its maps and networks. Writers such as Sholem Asch, Jacob Glatstein, Isaac Bashevis Singer, Anna Margolin, Saul Bellow, and Grace Paley all responded to a demand to write beyond local Jewish and American audiences and toward the world, as a global market and as a transnational ideal. At the same time, their work is deeply informed by an intimate connection to Yiddish, a Jewish vernacular with its own global network and institutional ambitions. This book tracks the attempts and failures, through translation, to find a home for Jewish vernacularity in the institution of world literature. Beyond fame and global circulation, world literature holds up the promise of legibility, in which a threatened origin becomes the site for redemptive literary creativity. But this promise inevitably remains unfulfilled, as writers struggle to balance potential universal achievements with untranslatable realities, rendering impossible any complete arrival in the US and in the world. The exploration of the translational uncertainty of Jewish American writing joins postcolonial critiques of US and world literature and challenges Eurocentric and Anglo-American paradigms of literary study. In bringing into conversation the fields of Yiddish studies, American Studies, and world literature theory, the book proposes a new approach to the study of modern Jewish literatures and their implication within global empires of culture.
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Weidenfeld, Werner, and Wolfgang Wessels, eds. Jahrbuch der Europäischen Integration 2021. Nomos Verlagsgesellschaft mbH & Co. KG, 2021. http://dx.doi.org/10.5771/9783748912668.

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The yearbook on European integration, compiled by the Institute of European Politics in Berlin, has documented the process of European integration in an up-to-date and detailed way since 1980. The result is a unique record of contemporary European history over a 41 year period. The 2021 edition of the yearbook continues this tradition. In approximately 100 contributions related to their main research subjects, the book’s authors portray the events of European politics in the period 2020–21 and inform the reader about the work of European institutions, the development of the EU’s policy areas, Europe’s role in the world and European policy in the EU’s member states and candidate countries. With contributions by Petra Ahrens · Constanze Aka · Aljoscha Albrecht · Franco Algieri · Franz-Lothar Altmann · Katrin Auel · Heinz-Jürgen Axt · Julia Bachtrögler-Unger · Michael L. Bauer · Peter Becker · Matthias Belafi · Annegret Bendiek · Julian Bergmann · Sarah-Lena Böning · Katrin Böttger · Klaus Brummer · Birgit Bujard · Karlis Bukovskis · Hrvoje Butković · Thomas Christiansen · Agnieszka K. Cianciara · Anthony Costello · Alexandru Damian · Franziska Decker · Johanna Deimel · Doris Dialer · Thomas Diez · Roland Döhrn · Hans-Wilhelm Dünn · Tobias Etzold · Alina Felder · Eva Feldmann-Wojtachnia · Sabine Fischer · Tobias Flessenkemper · Christian Franck · Carsten Gerards · Gabriel Glöckler · Daniel Göler · Alexander Grasse · Anna Gussarova · Christoph Gusy · Björn Hacker · Simon Hartmann · Niklas Helwig · Andreas Hofmann · Bernd Hüttemann · Tuomas Iso-Markku · Klaus Jacob · Michael Kaeding · Niels Keijzer · Mariam Khotenashvili · Anna-Lena Kirch · Henning Klodt · Wim Kösters · Valentin Kreilinger · Tobias Kunstein · Jan Labitzke · Guido Lessing · Barbara Lippert · Christian Lippert · Marko Lovec · Siegfried Magiera · Remi Maier-Rigaud · Jean-Marie Majerus · Andreas Marchetti · Daniel Martínek · Dominic Maugeais · Andreas Maurer · Vittoria Meißner · Laia Mestres · Jürgen Mittag · Lucia Mokrá · Jan-Peter Möhle · Manuel Müller · Matthias Niedobitek · Thomas Petersen · Anne Pintz · Julian Plottka · Johannes Pollak · António Raimundo · Christian Raphael · Iris Rehklau · Florence Reiter · Darius Ribbe · Daniel Schade · Sebastian Schäffer · Joachim Schild · Ulrich Schlie · Otto Schmuck · Lucas Schramm · Tobias Schumacher · Oliver Schwarz · Martin Selmayr · Otto W. Singer · Eduard Soler i Lecha · Martin Stein · Burkard Steppacher · Tamás Szigetvári · Funda Tekin · Gabriel N. Toggenburg · Hans-Jörg Trenz · Jürgen Turek · Günther Unser · Mendeltje van Keulen · Nicolai von Ondarza · Thomas Walli · Volker Weichsel · Werner Weidenfeld · Michael Weigl · Wolfgang Weiß · Charlotte Wenner · Wolfgang Wessels · Moritz Wiesenthal · Sabine Willenberg · Laura Worsch · Wolfgang Zellner
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Book chapters on the topic "Jacobi constant"

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Zygmunt, Marcin J. "Jacobi Block Matrices with Constant Matrix Terms." In Spectral Methods for Operators of Mathematical Physics, 233–38. Basel: Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7947-7_16.

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Elipe, Antonio, and Mercedes Arribas. "An Extension of Jacobian Constant." In Astrophysics and Space Science Library, 53–57. Dordrecht: Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4732-0_5.

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Dittrich, Walter. "Short List of Jacobi Elliptic Functions and Constants Used in Chap. 5." In SpringerBriefs in Physics, 33–37. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69105-9_6.

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Fontenas, Éric. "Sur les minorations des constantes de Sobolev et de Sobolev logarithmiques pour les opérateurs de Jacobi et de Laguerre." In Séminaire de Probabilités XXXII, 14–29. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/bfb0101747.

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Vanderjagt, Arjo. "‘Constant Exercise’: A Late Fifteenth-Century Programme of Studies — Rudolph Agricola’s Letters to Alexander Hegius of Deventer and Jacobus Barbirianus of Antwerp." In Disputatio, 193–215. Turnhout: Brepols Publishers, 2010. http://dx.doi.org/10.1484/m.disput-eb.3.1662.

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Kotkin, Gleb L., and Valeriy G. Serbo. "The Hamilton–Jacobi equation." In Exploring Classical Mechanics, 67–70. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198853787.003.0012.

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This chapter discusses the motion of particles which are scattered by and fall towards the center of the dipol, the motion of a particle in the Coulomb and the constant electric fields, and a particle inside a smooth elastic ellipsoid. The chapter also addresses the trajectory of a particle moving in the field of two Coulomb centres and a beam of electrons inside a short magnetic lens.
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Kotkin, Gleb L., and Valeriy G. Serbo. "The Hamilton–Jacobi equation." In Exploring Classical Mechanics, 338–58. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198853787.003.0025.

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This chapter discusses the motion of particles which are scattered by and fall towards the center of the dipol, the motion of a particle in the Coulomb and the constant electric fields, and a particle inside a smooth elastic ellipsoid. The chapter also addresses the trajectory of a particle moving in the field of two Coulomb centres and a beam of electrons inside a short magnetic lens.
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Adam, John A. "Introduction to the Mathematics of Rays." In Rays, Waves, and Scattering. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691148373.003.0003.

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This chapter provides an overview of the mathematics of rays. It begins with a discussion of the theory of geometrical optics and how it can be formulated by means of the ray equations or the Hamilton-Jacobi equation. The two equations are of seemingly different types, but they are in fact equivalent. The ray equations are the characteristic equations of the Hamilton-Jacobi equation. This remark leads to the geometrical interpretation: the family of rays of geometrical optics is perpendicular to the wavefronts S = constant, if S denotes the appropriate solution of the Hamilton-Jacobi equation. The chapter considers the Hamilton-Jacobi theory in more detail, along with Hamilton's principle, ray differential geometry and the eikonal equation, and dispersion relations. It also presents the general solution of the linear wave equation before concluding with an analysis of the behavior of rays and waves in a slowly varying environment.
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Bekenstein, Jacob D. "Fine-structure constant: Is it really a constant?" In Jacob Bekenstein, 347–59. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789811203961_0027.

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Jones, Chris. "Digital Mouvance: Once and Future Medieval Poetry Remediated in the Modern World." In The Middle Ages in the Modern World. British Academy, 2017. http://dx.doi.org/10.5871/bacad/9780197266144.003.0010.

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Chris Jones provides a unique insight into his involvement with two literary projects: Twitter poems composed with Jacob Polley as well as an Apple app of Seamus Heaney’s version of Robert Henryson’s Fables. These projects allow him to make carefully substantiated observations on the constant mutability inherent in medieval and medievalist poetry, rather than seeing the move to digital versions as the loss of an original. More generally, Jones also observes a significant return to medievalism among British poets in the twenty-first century, challenging the usual narrative that medievalism had its heyday in the nineteenth century.
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Conference papers on the topic "Jacobi constant"

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Arias-Marco, Teresa. "METHODS FOR SOLVING THE JACOBI EQUATION: CONSTANT OSCULATING RANK VS. CONSTANT JACOBI OSCULATING RANK." In Proceedings of the VIII International Colloquium. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814261173_0020.

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Młotkowski, Wojciech. "Nonnegative linearization for orthogonal polynomials with eventually constant Jacobi parameters." In Noncommutative Harmonic Analysis with Applications to Probability II. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2010. http://dx.doi.org/10.4064/bc89-0-13.

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VIDEV, VESELIN, and MARIA VANOVA. "CHARACTERIZATION OF A FOUR-DIMENSIONAL RIEMANNIAN MANIFOLDS WITH COMMUTING STANILOV CURVATURE OPERATOR WITH RESPECT TO ORTHOGONAL PLANE." In INTERNATIONAL SCIENTIFIC CONFERENCE MATHTECH 2022. Konstantin Preslavsky University Press, 2022. http://dx.doi.org/10.46687/lqcr1576.

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In the present paper using commuting conditions of the skew-symmetric Stanilov curvature operator and the generalized Jacobi operator of order 2 defined with respect to orthogonal plane we characterize a four-dimensional Riemannian manifold of constant sectional curvature
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Renshaw, Anthony. "The Stability of Ejected Beams." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4179.

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Abstract This paper examines the free vibration and stability of an Euler-Bernoulli beam ejected from or, equivalently, drawn into an orifice at an arbitrary angle relative to gravity. A stability boundary for this system is presented in terms of two dimensionless, time varying parameters, one describing the beam bending stiffness and the other indicating the axial tension induced by gravity. This stability boundary is the limit of positive definiteness of a Lyapunov functional for the system. The Lyapunov functional is the Jacobi integral of the system, which qualifies as a Lyapunov functional for many gyroscopic systems. The ejected beam system is gyroscopic when the time varying coefficients in the system equation are held constant. It is also shown that initially, the free vibration problem for the ejected beam has the same vibration modes shapes as an ordinary cantilever beam but that the magnitude and period of vibration grow as the square root of time.
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Rashid, Tasneem, Yechiel Crispin, and Dongeun Seo. "Lagrangian Points and Jacobi Constants for a Class of Asteroids." In AIAA/AAS Astrodynamics Specialist Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2016. http://dx.doi.org/10.2514/6.2016-5435.

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Simas, Henrique, and Raffaele Di Gregorio. "Adaptive Extended Jacobian Can Improve the Global Conditioning Index of Redundant Robots." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85467.

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The extended Jacobian is a solution technique of redundant robot’s instantaneous kinematics. It is based on the definition of secondary tasks through constraint functions that are added to the mapping between joint rates and end-effector’s twist. Several approaches showed its potential, its applications and limitations. In general, the constraint functions are a linear combination of basic functions with constant coefficients. This paper proposes the use of adaptive coefficients in such equations by using the conditioning index of the extended Jacobian as a quality measure. A good conditioning of the extended Jacobian keeps the robot far from singularities and contributes to the solution of the inverse kinematics. In this paper, initially the extended Jacobian and the proposed algorithm are discussed, then two tests in different circumstances are presented to validate the proposal.
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Martino, P. M., and G. A. Gabriele. "Estimating Jacobian and Constraint Matrices in Variational Geometry Systems." In ASME 1989 Design Technical Conferences. American Society of Mechanical Engineers, 1989. http://dx.doi.org/10.1115/detc1989-0022.

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Abstract The use of variational geometry (or parametric programming as it is sometimes referred as) is becoming a growing trend in current computer aided design systems. Currently, its most important application has been in the quick redimensioning of CAD models and the tying of the geometric relationships in the model to engineering relationships used in design. Another important application that has not reached its full potential is in the area of tolerance design. A key operation in variational geometry systems is the estimation of a jacobian matrix, or a closely related linear program constraint matrix. This paper explains what variational geometry is, how it can be used in redimensioning and tolerance design, and the role of Jacobian and constraint matrices in variational geometry. In this paper we address methods for quickly, and accurately, estimating the required Jacobian and constraint matrices in variational geometry systems.
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Wang, J. Y., and J. K. Wu. "Singularity of Constraint Mechanical Systems." In ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0286.

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Abstract The solution set of nonlinear kinematic constraint equations can be divided into regular and critical solution subsets, according to linear dependency of gradient vectors of the constraint equations. However, relative to a given input coordinate set, the solution set can also be separated into singular and nonsingular solution subsets, according to whether the sub-Jacobian matrix with respect to the output and intermediate coordinates is rank deficient or not. By providing precise definitions and classifications of singular configurations, from both mathematical and physical points of view, a better understanding of the kinematic behavior of singularity is obtained. Moreover, by extending the definition of the singular solution set to the output space and exploring the mathematical meaning of it, the difficulty in formulating mathematical expressions for workspace problems is resolved.
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Wang, ShaoFang, GuangYi Liu, Jie Xu, YanShen Lang, ZhangYong Yang, and Chenlong Dou. "Power flow calculation of three-phase distribution network based on constant jacobian matrix and newton method." In 2014 China International Conference on Electricity Distribution (CICED). IEEE, 2014. http://dx.doi.org/10.1109/ciced.2014.6991734.

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Gray, J. A. T., J. Vinkeloe, J. Moeck, C. O. Paschereit, P. Stathopoulos, P. Berndt, and R. Klein. "Thermodynamic Evaluation of Pulse Detonation Combustion for Gas Turbine Power Cycles." In ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/gt2016-57813.

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Constant-volume (pressure-gain) combustion cycles show much promise for further increasing the efficiency of modern gas turbines, which in the last decades have begun to reach the boundaries of modern technology in terms of pressure and temperature, as well as the ever more stringent demands on reducing exhaust gas emissions. The thermodynamic model of the gas turbine consists of a compressor with a polytropic efficiency of 90%, a combustor modeled as either a pulse detonation combustor (PDC) or as an isobaric homogeneous reactor, and a turbine, the efficiency of which is calculated using suitable turbine operational maps. A simulation is conducted using the one-dimensional reacting Euler equations to obtain the unsteady PDC outlet parameters for use as turbine inlet conditions. The efficiencies for the Fickett–Jacobs and Joule cycles are then compared. The Fickett–Jacobs cycle shows promise at relatively low compressor pressure ratios, whereas the importance of the harvesting of exhaust gas kinetic energy for the cycle performance is highlighted.
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