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Relevant bibliographies by topics / Derivative algebra

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Academic literature on the topic 'Derivative algebra'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Derivative algebra"

1

Bélanger, Alain, and Erik G. F. Thomas. "Positive Forms on Nuclear *-Algebras and Their Integral Representations." Canadian Journal of Mathematics 42, no. 3 (1990): 410–69. http://dx.doi.org/10.4153/cjm-1990-023-3.

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Abstract.The main result of this paper establishes the existence and uniqueness of integral representations of KMS functionals on nuclear *- algebras. Our first result is about representations of *-algebras by means of operators having a common dense domain in a Hilbert space. We show, under certain regularity conditions, that (Powers) self-adjoint representations of a nuclear *-algebra, which admit a direct integral decomposition, disintegrate into representations which are almost all self-adjoint. We then define and study the class of self-derivative algebras. All algebras with an identity a

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BRATCHIKOV, A. V. "DEFORMATION QUANTIZATION OF POISSON MANIFOLDS IN THE DERIVATIVE EXPANSION." International Journal of Geometric Methods in Modern Physics 06, no. 02 (2009): 219–24. http://dx.doi.org/10.1142/s0219887809003485.

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Deformation quantization of Poisson manifolds is studied within the framework of an expansion in powers of derivatives of Poisson structures. We construct the Lie group associated with a Poisson bracket algebra which defines a second order deformation in the derivative expansion.

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NARAYANA SWAMY, P. "q-DEFORMED FERMIONS: ALGEBRA, FOCK SPACE AND THERMODYNAMICS." International Journal of Modern Physics B 20, no. 18 (2006): 2537–50. http://dx.doi.org/10.1142/s0217979206034832.

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We investigate an algebra describing q-deformed Fermion oscillators. We establish the nature of the basic numbers which follow from this algebra, study the Fock space of these generalized Fermions and determine the Jackson Derivative appropriate for these Fermions. The statistical thermodynamics of these Fermions is examined and it is demonstrated that a consistent formulation preserving its full Legendre structure is accomplished by the use of Jackson Derivatives in place of the ordinary thermodynamic derivatives. We determine the important thermodynamic functions and illustrate the thermodyn

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Schenkel, Alexander. "Module parallel transports in fuzzy gauge theory." International Journal of Geometric Methods in Modern Physics 11, no. 03 (2014): 1450021. http://dx.doi.org/10.1142/s0219887814500212.

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In this paper, we define and investigate a notion of parallel transport on finite projective modules over finite matrix algebras. Given a derivation-based differential calculus on the algebra and a connection on the module, we construct for every derivation X a module parallel transport, which is a lift to the module of the one-parameter group of algebra automorphisms generated by X. This parallel transport morphism is determined uniquely by an ordinary differential equation depending on the covariant derivative along X. Based on these parallel transport morphisms, we define a basic set of gau

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Jean, Maw-Ding. "Closed derivation on the unit square." Bulletin of the Australian Mathematical Society 34, no. 1 (1986): 93–105. http://dx.doi.org/10.1017/s0004972700004548.

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In this paper we extend Kurose's structure theorem to characterize a closed derivation in the algebra of continuous functions on the unit square, under the conditions that the range is the whole algebra and the kernel is the set of all functions depend only on the second variable, as a partial derivative with respect to signed measures on the unit square.

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Colombaro, Ivano, Josep Font-Segura, and Alfonso Martinez. "An Exterior Algebraic Derivation of the Euler–Lagrange Equations from the Principle of Stationary Action." Mathematics 9, no. 18 (2021): 2178. http://dx.doi.org/10.3390/math9182178.

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In this paper, we review two related aspects of field theory: the modeling of the fields by means of exterior algebra and calculus, and the derivation of the field dynamics, i.e., the Euler–Lagrange equations, by means of the stationary action principle. In contrast to the usual tensorial derivation of these equations for field theories, that gives separate equations for the field components, two related coordinate-free forms of the Euler–Lagrange equations are derived. These alternative forms of the equations, reminiscent of the formulae of vector calculus, are expressed in terms of vector de

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ŠKODA, ZORAN. "HEISENBERG DOUBLE VERSUS DEFORMED DERIVATIVES." International Journal of Modern Physics A 26, no. 27n28 (2011): 4845–54. http://dx.doi.org/10.1142/s0217751x11054772.

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Two approaches to the tangent space of a noncommutative space whose coordinate algebra is the enveloping algebra of a Lie algebra are known: the Heisenberg double construction and the approach via deformed derivatives, usually defined by procedures involving orderings among noncommutative coordinates or equivalently involving realizations via formal differential operators. In an earlier work, we rephrased the deformed derivative approach introducing certain smash product algebra twisting a semicompleted Weyl algebra. We show here that the Heisenberg double in the Lie algebra case, is isomorphi

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CASALBUONI, R. "ALGEBRAS, DERIVATIONS AND INTEGRALS." International Journal of Modern Physics A 13, no. 32 (1998): 5459–76. http://dx.doi.org/10.1142/s0217751x98002481.

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In the context of the integration over algebras introduced in a previous paper, we obtain several results for a particular class of associative algebras with identity. The algebras of this class are called self-conjugated, and they include, for instance, the para-Grassmann algebras of order p, the quaternionic algebra and the toroidal algebras. We study the relation between derivations and integration, proving a generalization of the standard result for the Riemann integral about the translational invariance of the measure and the vanishing of the integral of a total derivative (for convenient

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Ettaieb, Aymen, Narjess Turki Khalifa, Habib Ouerdiane, and Hafedh Rguigui. "Higher powers of analytical operators and associated ∗-Lie algebras." Infinite Dimensional Analysis, Quantum Probability and Related Topics 19, no. 02 (2016): 1650013. http://dx.doi.org/10.1142/s0219025716500132.

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We introduce a new product of two test functions denoted by [Formula: see text] (where [Formula: see text] and [Formula: see text] in the Schwartz space [Formula: see text]). Based on the space of entire functions with [Formula: see text]-exponential growth of minimal type, we define a new family of infinite dimensional analytical operators using the holomorphic derivative and its adjoint. Using this new product [Formula: see text], such operators give us a new representation of the centerless Virasoro–Zamolodchikov-[Formula: see text]∗-Lie algebras (in particular the Witt algebra) by using an

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Bhowmick, Jyotishman, Debashish Goswami, and Giovanni Landi. "Levi-Civita connections and vector fields for noncommutative differential calculi." International Journal of Mathematics 31, no. 08 (2020): 2050065. http://dx.doi.org/10.1142/s0129167x20500652.

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We study covariant derivatives on a class of centered bimodules [Formula: see text] over an algebra [Formula: see text] We begin by identifying a [Formula: see text]-submodule [Formula: see text] which can be viewed as the analogue of vector fields in this context; [Formula: see text] is proven to be a Lie algebra. Connections on [Formula: see text] are in one-to-one correspondence with covariant derivatives on [Formula: see text]. We recover the classical formulas of torsion and metric compatibility of a connection in the covariant derivative form. As a result, a Koszul formula for the Levi-C

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Dissertations / Theses on the topic "Derivative algebra"

1

Sun, Jie. "Intrinsic geometry in screw algebra and derivative Jacobian and their uses in the metamorphic hand." Thesis, King's College London (University of London), 2017. https://kclpure.kcl.ac.uk/portal/en/theses/intrinsic-geometry-in-screw-algebra-and-derivative-jacobian-and-their-uses-in-the-metamorphic-hand(8ccd2b47-de45-488f-af5d-634343746b57).html.

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Line geometry is a foundation of screw algebra in line coordinates that were created by Plücker as ray coordinates taking a line as a ray between two points and axis coordinates taking a line as the intersection of two planes. This Thesis reveals the geometrical meaning and intrinsic relationship between these ray coordinates and axis coordinates, leading to an in-depth understanding of conformability and duality of these two sets of screw coordinates, and their related vector space and dual vector space. Based on the study of screw algebra, the resultant twist of a serial manipulator is prese

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Talley, Amanda Renee. "An Introduction to Lie Algebra." CSUSB ScholarWorks, 2017. https://scholarworks.lib.csusb.edu/etd/591.

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An (associative) algebra is a vector space over a field equipped with an associative, bilinear multiplication. By use of a new bilinear operation, any associative algebra morphs into a nonassociative abstract Lie algebra, where the new product in terms of the given associative product, is the commutator. The crux of this paper is to investigate the commutator as it pertains to the general linear group and its subalgebras. This forces us to examine properties of ring theory under the lens of linear algebra, as we determine subalgebras, ideals, and solvability as decomposed into an extension of

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McLewin, Kelly English. "Octonions and the Exceptional Lie Algebra g_2." Thesis, Virginia Tech, 2004. http://hdl.handle.net/10919/9878.

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We first introduce the octonions as an eight dimensional vector space over a field of characteristic zero with a multiplication defined using a table. We also show that the multiplication rules for octonions can be derived from a special graph with seven vertices call the Fano Plane. Next we explain the Cayley-Dickson construction, which exhibits the octonions as the set of ordered pairs of quaternions. This approach parallels the realization of the complex numbers as ordered pairs of real numbers. The rest of the thesis is devoted to following a paper by N. Jacobson written in 1939 entitled "

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Bergander, Philip. "Twisted derivations, quasi-hom-Lie algebras and their quasi-deformations." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-35553.

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Quasi-hom-Lie algebras (qhl-algebras) were introduced by Larsson and Silvestrov (2004) as a generalisation of hom-Lie algebras, which are a deformation of Lie algebras. Lie algebras are defined by an operation called bracket, [·,·], and a three-term Jacobi identity. By the theorem from Hartwig, Larsson, and Silvestrov (2003), this bracket and the three-term Jacobi identity are deformed into a new bracket operation, <·,·>, and a six-term Jacobi identity, making it a quasi-hom-Lie algebra. Throughout this thesis we deform the Lie algebra sl2(F), where F is a field of characteristic 0. We

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Epperlein, Jeremias. "Topological Conjugacies Between Cellular Automata." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-231823.

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We study cellular automata as discrete dynamical systems and in particular investigate under which conditions two cellular automata are topologically conjugate. Based on work of McKinsey, Tarski, Pierce and Head we introduce derivative algebras to study the topological structure of sofic shifts in dimension one. This allows us to classify periodic cellular automata on sofic shifts up to topological conjugacy based on the structure of their periodic points. We also get new conjugacy invariants in the general case. Based on a construction by Hanf and Halmos, we construct a pair of non-homeomorp

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Yamanoi, Katsutoshi. "Algebro-Geometric Version of Nevanlinna's Lemma on Logarithmic Derivative and Applications." 京都大学 (Kyoto University), 2000. http://hdl.handle.net/2433/181095.

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Chitayat, Michael. "Locally Nilpotent Derivations and Their Quasi-Extensions." Thesis, Université d'Ottawa / University of Ottawa, 2016. http://hdl.handle.net/10393/35072.

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In this thesis, we introduce the theory of locally nilpotent derivations and use it to compute certain ring invariants. We prove some results about quasi-extensions of derivations and use them to show that certain rings are non-rigid. Our main result states that if k is a field of characteristic zero, C is an affine k-domain and B = C[T,Y] / < T^nY - f(T) >, where n >= 2 and f(T) \in C[T] is such that delta^2(f(0)) != 0 for all nonzero locally nilpotent derivations delta of C, then ML(B) != k. This shows in particular that the ring B is not a polynomial ring over k.

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Wakefield, Max. "On the derivation module and apolar algebra of an arrangement of hyperplanes /." view abstract or download file of text, 2006. http://proquest.umi.com/pqdweb?did=1188874511&sid=1&Fmt=2&clientId=11238&RQT=309&VName=PQD.

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Thesis (Ph. D.)--University of Oregon, 2006.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaves 83-84). Also available for download via the World Wide Web; free to University of Oregon users.

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Feng, Wei Pate Thomas H. "The QR algorithm for eigenvalue estimation theory and experiments /." Auburn, Ala, 2008. http://hdl.handle.net/10415/1488.

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Moraes, Matheus Schwalb. "Algebraic derivative estimation applied to nonlinear control of magnetic levitation." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/3/3139/tde-27062016-153343/.

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The subject of this thesis is the real-time implementation of algebraic derivative estimators as observers in nonlinear control of magnetic levitation systems. These estimators are based on operational calculus and implemented as FIR filters, resulting on a feasible real-time implementation. The algebraic method provide a fast, non-asymptotic state estimation. For the magnetic levitation systems, the algebraic estimators may replace the standard asymptotic observers assuring very good performance and robustness. To validate the estimators as observers in closed-loop control, several nonlinear

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Books on the topic "Derivative algebra"

1

Harold, Simmons, ed. Derivatives, nuclei, and dimensions on the frame of torsion theories. Longman Scientific & Technical, 1988.

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2

Murty, Maruti Ram. Mean values of derivatives of modular L-series. Dept. of Mathematics, University of Toronto, 1989.

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3

Suan zi dai shu shang de ke cheng ying she ji dao zi. Ke xue chu ban she, 2013.

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4

Bárcenas, Noé, and Monica Moreno Rocha. Mexican mathematicians abroad: Recent contributions : first workshop, Matematicos Mexicanos Jovenes en el Mundo, August 22-24, 2012, Centro de Investigacion en Matematicas, A.C., Guanajuato, Mexico. Edited by Galaz-García Fernando editor. American Mathematical Society, 2016.

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5

Bergmann, Merrie. An introduction to many-valued and fuzzy logic: Semantics, algebras, and derivation systems. Cambridge University Press, 2008.

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Manichev, Vladimir, Valentina Glazkova, and Кузьмина Анастасия. Numerical methods. The authentic and exact solution of the differential and algebraic equations in SAE systems of SAPR. INFRA-M Academic Publishing LLC., 2016. http://dx.doi.org/10.12737/13138.

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In the manual classical numerical methods are considered and algorithms for the decision of systems of the ordinary differential equations (ODE), nonlinear and linear algebraic equations (NAU and LAU), and also ways of ensuring reliability and demanded accuracy of results of the decision. Ideas, which still not are stated are reflected in textbooks on calculus mathematics, namely: decision systems the ODE without reduction to a normal form of Cauchy resolved rather derivative, and refusal from any numerical an equivalent - nykh of transformations

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Concentration, functional inequalities, and isoperimetry: International workshop, October 29-November 1, 2009, Florida Atlantic University, Boca Raton, Florida. American Mathematical Society, 2011.

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8

Mann, Peter. Constrained Hamiltonian Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0021.

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This chapter focuses on autonomous geometrical mechanics, using the language of symplectic geometry. It discusses manifolds (including Kähler manifolds, Riemannian manifolds and Poisson manifolds), tangent bundles, cotangent bundles, vector fields, the Poincaré–Cartan 1-form and Darboux’s theorem. It covers symplectic transforms, the Marsden–Weinstein symplectic quotient, presymplectic and symplectic 2-forms, almost symplectic structures, symplectic leaves and foliation. It also discusses contact structures, musical isomorphisms and Arnold’s theorem, as well as integral invariants, Nambu struc

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Mann, Peter. Linear Algebra. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0037.

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This chapter is key to the understanding of classical mechanics as a geometrical theory. It builds upon earlier chapters on calculus and linear algebra and frames theoretical physics in a new and useful language. Although some degree of mathematical knowledge is required (from the previous chapters), the focus of this chapter is to explain exactly what is going on, rather than give a full working knowledge of the subject. Such an approach is rare in this field, yet is ever so welcome to newcomers who are exposed to this material for the first time! The chapter discusses topology, manifolds, fo

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Mann, Peter. Differential Geometry. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0038.

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This chapter is key to the understanding of classical mechanics as a geometrical theory. It builds upon earlier chapters on calculus and linear algebra and frames theoretical physics in a new and useful language. Although some degree ofmathematical knowledge is required (from the previous chapters), the focus of this chapter is to explain exactlywhat is going on, rather than give a full working knowledge of the subject. Such an approach is rare in this field, yet is ever so welcome to newcomers who are exposed to this material for the first time! The chapter discusses topology, manifolds, form

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Book chapters on the topic "Derivative algebra"

1

Melliani, Said, A. Chafiki, and L. S. Chadli. "New Fractional Derivative in Colombeau Algebra." In Recent Advances in Intuitionistic Fuzzy Logic Systems. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-02155-9_9.

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Iannazzo, Bruno, Ben Jeuris, and Filippo Pompili. "The Derivative of the Matrix Geometric Mean with an Application to the Nonnegative Decomposition of Tensor Grids." In Structured Matrices in Numerical Linear Algebra. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-04088-8_6.

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Wen, Guo Chun, and Ben Teng Zou. "Initial-Irregular Oblique Derivative Problems for Nonlinear Parabolic Complex Equations of Second Order with Measurable Coefficients." In Recent Developments in Complex Analysis and Computer Algebra. Springer US, 1999. http://dx.doi.org/10.1007/978-1-4613-0297-1_26.

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Childs, Lindsay N. "Derivatives." In A Concrete Introduction to Higher Algebra. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4419-8702-0_17.

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Oliveira, Carlos. "Linear Algebra Algorithms." In Options and Derivatives Programming in C++. Apress, 2016. http://dx.doi.org/10.1007/978-1-4842-1814-3_9.

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Oliveira, Carlos. "Linear Algebra Algorithms." In Options and Derivatives Programming in C++20. Apress, 2020. http://dx.doi.org/10.1007/978-1-4842-6315-0_9.

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Ikeda, T., and N. Kawamoto. "On Derivation Algebras of Group Algebras." In Non-Associative Algebra and Its Applications. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-0990-1_31.

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Broda, Sabine, Sílvia Cavadas, Miguel Ferreira, and Nelma Moreira. "Deciding Synchronous Kleene Algebra with Derivatives." In Implementation and Application of Automata. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22360-5_5.

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Brown, Donald J., Charles B. Huijsmans, and Bernardus de Pagter. "Approximating Derivative Securities in f-Algebras." In Positive Operators, Riesz Spaces, and Economics. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-58199-1_8.

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Jacobson, N. "Derivation Algebras and Multiplication Algebras of Semi-Simple Jordan Algebras." In Nathan Jacobson Collected Mathematical Papers. Birkhäuser Boston, 1989. http://dx.doi.org/10.1007/978-1-4612-3694-8_4.

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Conference papers on the topic "Derivative algebra"

1

Serban, Radu, and Edward J. Haug. "Kinematic and Kinetic Derivatives in Multibody System Analysis." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/dac-3849.

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Abstract Methods and identities for computation of kinematic and kinetic derivatives required for a broad spectrum of multibody system analyses are presented. Analyses such as implicit numerical integration of the differential–algebraic equations of multibody dynamics, dynamic sensitivity analysis, and workspace analysis are shown to require computation of three derivatives of algebraic constraint functions and first derivatives of inertia and force expressions. Computationally efficient derivative calculation methods and associated identities are presented for Cartesian generalized coordinate

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Kaviyarasu, M., and K. Indhira. "Derivation in INK-algebras." In INTERNATIONAL CONFERENCE ON ELECTRICAL, ELECTRONICS, MATERIALS AND APPLIED SCIENCE. Author(s), 2018. http://dx.doi.org/10.1063/1.5032011.

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Huang, Jinglian, and Xiujuan Yuan. "Relations of the E-Derivative, Derivative, Algebraic Immunity, and Algebraic Degree of Balanced H Boolean Functions." In RCAE 2019: 2019 The 2nd International Conference on Robotics, Control and Automation Engineering. ACM, 2019. http://dx.doi.org/10.1145/3372047.3372065.

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Twarock, Reidun. "q-Derivatives, quantization methods and q-algebras." In Particles, fields and gravitation. AIP, 1998. http://dx.doi.org/10.1063/1.57094.

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Silaratana, Wisut, and Natasha Dejdumrong. "Handwritten Boolean Algebra Derivation Recognition and Error Identification." In 2020 24th International Conference Information Visualisation (IV). IEEE, 2020. http://dx.doi.org/10.1109/iv51561.2020.00115.

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Gupta, Krishna C. "Rigid Body Dynamical Equations With Lie Algebra." In ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/detc2000/mech-14163.

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Abstract A direct derivation is presented for the Generalized Euler’s equation in the translated base system that is located at the center of mass of the body. The use of Lie algebra reveals an interesting property of the time-variant inertia matrix I(t) — its rate of change is the Lie product [Ω, I], where [Ω] is the skew-symmetric representation of the angular velocity ω. This observation also simplifies the derivation. The standard body system form and the ZRP-form are then deduced. With differing meanings of terms, all three forms have a similar appearance: MG = [I] α + [Ω] [I] ω.

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Riachy, Samer, Yara Bachalany, Mamadou Mboup, and Jean-Pierre Richard. "An algebraic method for multi-dimensional derivative estimation." In Automation (MED 2008). IEEE, 2008. http://dx.doi.org/10.1109/med.2008.4602167.

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Hara, Kensuke. "Development of an Efficient Stability Analysis Method for a Plate in Uniform Flow by Using Differential Algebraic Equations." In ASME 2018 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/pvp2018-84680.

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This paper addresses an instability problem of a plate in a uniform incompressible and irrotational flow. In particular, this study is aimed at developing a stability analysis method with low computational cost. An analytical dynamics framework for constraint systems is applied to derivation of the fluid force acting on the plate surface. This formulation gives an algebraic relation between the plate displacement and the generalized momentum regarding the velocity potential as a constraint, that is, this relation plays the role of the fluid-structure interaction in the present formulation. The

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Reger, Johann, and Jerome Jouffroy. "On algebraic time-derivative estimation and deadbeat state reconstruction." In 2009 Joint 48th IEEE Conference on Decision and Control (CDC) and 28th Chinese Control Conference (CCC). IEEE, 2009. http://dx.doi.org/10.1109/cdc.2009.5400719.

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Hamper, Martin B., Cheng Wei, and Ahmed A. Shabana. "Use of ANCF Surface Geometry in the Rigid Body Contact Problem: Application to Railroad Vehicle Dynamics." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-35421.

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In the analysis of multibody system (MBS) dynamics, contact between two arbitrary rigid bodies is a fundamental feature in a variety of models. Many procedures have been proposed to solve the rigid body contact problem, most of which belong to one of two categories: off-line and on-line contact search methods. This investigation will focus on the development of a contact surface model for the rigid body contact problem in the case where an on-line three-dimensional non-conformal contact evaluation procedure, such as the elastic contact formulation - algebraic equations (ECF-A), is employed. It

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Reports on the topic "Derivative algebra"

1

Berz, M., E. Forest, and J. Irwin. Exact computation of derivatives with differential algebra and applications to beam dynamics. Office of Scientific and Technical Information (OSTI), 1988. http://dx.doi.org/10.2172/7050634.

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Herbert, John M. Symbolic derivation of high-order Rayleigh-Schroedinger perturbation energies using computer algebra: Application to vibrational-rotational analysis of diatomic molecules. Office of Scientific and Technical Information (OSTI), 1997. http://dx.doi.org/10.2172/491448.

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