Littérature scientifique sur le sujet « Free Differential Algebras »
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Articles de revues sur le sujet "Free Differential Algebras"
GAO, XING, LI GUO et SHANGHUA ZHENG. « CONSTRUCTION OF FREE COMMUTATIVE INTEGRO-DIFFERENTIAL ALGEBRAS BY THE METHOD OF GRÖBNER–SHIRSHOV BASES ». Journal of Algebra and Its Applications 13, no 05 (25 février 2014) : 1350160. http://dx.doi.org/10.1142/s0219498813501600.
Texte intégralQIU, JIANJUN, et YUQUN CHEN. « COMPOSITION-DIAMOND LEMMA FOR λ-DIFFERENTIAL ASSOCIATIVE ALGEBRAS WITH MULTIPLE OPERATORS ». Journal of Algebra and Its Applications 09, no 02 (avril 2010) : 223–39. http://dx.doi.org/10.1142/s0219498810003859.
Texte intégralKadeishvili, T., et P. Real. « Free resolutions for differential modules over differential algebras ». Journal of Mathematical Sciences 152, no 3 (juillet 2008) : 307–22. http://dx.doi.org/10.1007/s10958-008-9072-9.
Texte intégralIyer, Uma N., et Timothy C. McCune. « Differential operators on the free algebras ». Selecta Mathematica 18, no 2 (1 novembre 2011) : 329–55. http://dx.doi.org/10.1007/s00029-011-0076-9.
Texte intégralFrønsdal, C., et A. Galindo. « The Ideals of Free Differential Algebras ». Journal of Algebra 222, no 2 (décembre 1999) : 708–46. http://dx.doi.org/10.1006/jabr.1999.8076.
Texte intégralQiu, Jianjun. « Gröbner–Shirshov bases for commutative algebras with multiple operators and free commutative Rota–Baxter algebras ». Asian-European Journal of Mathematics 07, no 02 (juin 2014) : 1450033. http://dx.doi.org/10.1142/s1793557114500338.
Texte intégralSÁNCHEZ, OMAR LEÓN, et RAHIM MOOSA. « THE MODEL COMPANION OF DIFFERENTIAL FIELDS WITH FREE OPERATORS ». Journal of Symbolic Logic 81, no 2 (juin 2016) : 493–509. http://dx.doi.org/10.1017/jsl.2015.76.
Texte intégralBENKHALIFA, MAHMOUD. « WHITEHEAD EXACT SEQUENCE AND DIFFERENTIAL GRADED FREE LIE ALGEBRA ». International Journal of Mathematics 15, no 10 (décembre 2004) : 987–1005. http://dx.doi.org/10.1142/s0129167x04002673.
Texte intégralSalgado, P., et S. Salgado. « Extended gauge theory and gauged free differential algebras ». Nuclear Physics B 926 (janvier 2018) : 179–99. http://dx.doi.org/10.1016/j.nuclphysb.2017.10.026.
Texte intégralFré, Pietro, et Pietro Antonio Grassi. « Pure spinors, free differential algebras, and the supermembrane ». Nuclear Physics B 763, no 1-2 (février 2007) : 1–34. http://dx.doi.org/10.1016/j.nuclphysb.2006.10.026.
Texte intégralThèses sur le sujet "Free Differential Algebras"
Dabrowski, Yoann. « Free entropies, free Fisher information, free stochastic differential equations, with applications to Von Neumann algebras ». Thesis, Paris Est, 2010. http://www.theses.fr/2010PEST1015.
Texte intégralThis works extends our knowledge of free entropies, free Fisher information and free stochastic differential equations in three directions. First, we prove that if a $W^{*}$-probability space generated by more than 2 self-adjoints with finite non-microstates free Fisher information doesn't have property $Gamma$ of Murray and von Neumann (especially is not amenable). This is an analogue of a well-known result of Voiculescu for microstates free entropy. We also prove factoriality under finite non-microstates entropy. Second, we study a general free stochastic differential equation with unbounded coefficients (``stochastic PDE"), and prove stationarity of solutions in well-chosen cases. This leads to a computation of microstates free entropy dimension in case of Lipschitz conjugate variable. Finally, we introduce a non-commutative path space approach to solve general stationary free Stochastic differential equations. By defining tracial states on a non-commutative analogue of a path space, we construct Markov dilations for a class of conservative completely Markov semigroups on finite von Neumann algebras. This class includes all symmetric semigroups. For well chosen semigroups (for instance with generator any divergence form operator associated to a derivation valued in the coarse correspondence) those dilations give rise to stationary solutions of certain free SDEs. Among applications, we prove a non-commutative Talagrand inequality for non-microstate free entropy (relative to a subalgebra $B$ and a completely positive map $eta:Bto B$). We also use those new deformations in conjunction with Popa's deformation/rigidity techniques, to get absence of Cartan subalgebra results
Singh, Pranav. « High accuracy computational methods for the semiclassical Schrödinger equation ». Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/274913.
Texte intégralRocha, Eugénio Alexandre Miguel. « Uma Abordagem Algébrica à Teoria de Controlo Não Linear ». Doctoral thesis, Universidade de Aveiro, 2003. http://hdl.handle.net/10773/21444.
Texte intégralNesta tese de Doutoramento desenvolve-se principalmente uma abordagem algébrica à teoria de sistemas de controlo não lineares. No entanto, outros tópicos são também estudados. Os tópicos tratados são os seguidamente enunciados: fórmulas para sistemas de controlo sobre álgebras de Lie livres, estabilidade de um sistema de corpos rolantes, algoritmos para aritmética digital, e equações integrais de Fredholm não lineares. No primeiro e principal tópico estudam-se representações para as soluções de sistemas de controlo lineares no controlo. As suas trajetórias são representadas pelas chamadas séries de Chen. Estuda-se a representação formal destas séries através da introdução de várias álgebras não associativas e técnicas específicas de álgebras de Lie livres. Sistemas de coordenadas para estes sistemas são estudados, nomeadamente, coordenadas de primeiro tipo e de segundo tipo. Apresenta-se uma demonstração alternativa para as coordenadas de segundo tipo e obtêm-se expressões explícitas para as coordenadas de primeiro tipo. Estas últimas estão intimamente ligadas ao logaritmo da série de Chen que, por sua vez, tem fortes relações com uma fórmula designada na literatura por “continuous Baker-Campbell- Hausdorff formula”. São ainda apresentadas aplicações à teoria de funções simétricas não comutativas. É, por fim, caracterizado o mapa de monodromia de um campo de vectores não linear e periódico no tempo em relação a uma truncatura do logaritmo de Chen. No segundo tópico é estudada a estabilizabilidade de um sistema de quaisquer dois corpos que rolem um sobre o outro sem deslizar ou torcer. Constroem-se controlos fechados e dependentes do tempo que tornam a origem do sistema de dois corpos num sistema localmente assimptoticamente estável. Vários exemplos e algumas implementações em Maple°c são discutidos. No terceiro tópico, em apêndice, constroem-se algoritmos para calcular o valor de várias funções fundamentais na aritmética digital, sendo possível a sua implementação em microprocessadores. São também obtidos os seus domínios de convergência. No último tópico, também em apêndice, demonstra-se a existência e unicidade de solução para uma classe de equações integrais não lineares com atraso. O atraso tem um carácter funcional, mostrando-se ainda a diferenciabilidade no sentido de Fréchet da solução em relação à função de atraso.
In this PhD thesis several subjects are studied regarding the following topics: formulas for nonlinear control systems on free Lie algebras, stabilizability of nonlinear control systems, digital arithmetic algorithms, and nonlinear Fredholm integral equations with delay. The first and principal topic is mainly related with a problem known as the continuous Baker-Campbell-Hausdorff exponents. We propose a calculus to deal with formal nonautonomous ordinary differential equations evolving on the algebra of formal series defined on an alphabet. We introduce and connect several (non)associative algebras as Lie, shuffle, zinbiel, pre-zinbiel, chronological (pre-Lie), pre-chronological, dendriform, D-I, and I-D. Most of those notions were also introduced into the universal enveloping algebra of a free Lie algebra. We study Chen series and iterated integrals by relating them with nonlinear control systems linear in control. At the heart of all the theory of Chen series resides a zinbiel and shuffle homomorphism that allows us to construct a purely formal representation of Chen series on algebras of words. It is also given a pre-zinbiel representation of the chronological exponential, introduced by A.Agrachev and R.Gamkrelidze on the context of a tool to deal with nonlinear nonautonomous ordinary differential equations over a manifold, the so-called chronological calculus. An extensive description of that calculus is made, collecting some fragmented results on several publications. It is a fundamental tool of study along the thesis. We also present an alternative demonstration of the result of H.Sussmann about coordinates of second kind using the mentioned tools. This simple and comprehensive proof shows that coordinates of second kind are exactly the image of elements of the dual basis of a Hall basis, under the above discussed homomorphism. We obtain explicit expressions for the logarithm of Chen series and the respective coordinates of first kind, by defining several operations on a forest of leaf-labelled trees. It is the same as saying that we have an explicit formula for the functional coefficients of the Lie brackets on a continuous Baker-Campbell-Hausdorff-Dynkin formula when a Hall basis is used. We apply those formulas to relate some noncommutative symmetric functions, and we also connect the monodromy map of a time-periodic nonlinear vector field with a truncation of the Chen logarithm. On the second topic, we study any system of two bodies rolling one over the other without twisting or slipping. By using the Chen logarithm expressions, the monodromy map of a flow and Lyapunov functions, we construct time-variant controls that turn the origin of a control system linear in control into a locally asymptotically stable equilibrium point. Stabilizers for control systems whose vector fields generate a nilpotent Lie algebra with degree of nilpotency · 3 are also given. Some examples are presented and Maple°c were implemented. The third topic, on appendix, concerns the construction of efficient algorithms for Digital Arithmetic, potentially for the implementation in microprocessors. The algorithms are intended for the computation of several functions as the division, square root, sines, cosines, exponential, logarithm, etc. By using redundant number representations and methods of Lyapunov stability for discrete dynamical systems, we obtain several algorithms (that can be glued together into an algorithm for parallel execution) having the same core and selection scheme in each iteration. We also prove their domains of convergence and discuss possible extensions. The last topic, also on appendix, studies the set of solutions of a class of nonlinear Fredholm integral equations with general delay. The delay is of functional character modelled by a continuous lag function. We ensure existence and uniqueness of a continuous (positive) solution of such equation. Moreover, under additional conditions, it is obtained the Fr´echet differentiability of the solution with respect to the lag function.
Pavarin, Alice. « Equivalences of additive categories ». Doctoral thesis, Università degli studi di Padova, 2013. http://hdl.handle.net/11577/3422598.
Texte intégralNella prima parte della tesi, dopo aver introdotto il concetto di incollamento e di triple TTF in una categoria triangolata, si considerano incollamenti di categorie derivate di algebre differenziali graduate indotti da oggetti compatti e auto ortogonali, ottenendo una generalizzazione del teorema di Rickard. Considerando il caso particolare del moduli partial tilting, estendiamo i risultati sulle equivalenze tra categorie triangolate ottenute in [B] e [BMT]. Segue una parte focalizzata sulla connessione tra incollamenti di categorie derivate di anelli, sottocategorie biriflessive e localizzazioni universali generalizzate. Nella seconda parte della tesi vengono dati alcuni risultati nell'ambito di categorie monoidali e dual quasi-bialgebre. Ad ogni dual quasi-bialgebra H e ad ogni bialgebra R nella categoria dei moduli di Yetter-Drinfeld su H, e possibile associare una dual quasi-bialgebra, chiamata bosonizzazione. In questa tesi, usando il teorema fondamentale, si caratterizza come bosonizzazione ogni dual quasi-bialgebra con proiezione su una dual quasi-bialgebra con preantipode. Come applicazione si studia la struttura della coalgebra graduata grA associata ad una dual quasi-bialgebra A con la proprieta di Chevalley duale (si vedra che A e puntata).
Guibert, David. « Analyse de méthodes de résolution parallèles d’EDO/EDA raides ». Thesis, Lyon 1, 2009. http://www.theses.fr/2009LYO10138/document.
Texte intégralThis PhD Thesis deals with the development of parallel numerical methods for solving Ordinary and Algebraic Differential Equations. ODE and DAE are commonly arising when modeling complex dynamical phenomena. We first show that the parallelization across the method is limited by the number of stages of the RK method or DIMSIM. We introduce the Schur complement into the linearised linear system of time integrators. An automatic framework is given to build a mask defining the relationships between the variables. Then the Schur complement is coupled with Jacobian Free Newton-Krylov methods. As time decomposition, global time steps resolutions can be solved by parallel nonlinear solvers (such as fixed point, Newton and Steffensen acceleration). Two steps time decomposition (Parareal, Pita,...) are developed with a new definition of their grids to solved stiff problems. Global error estimates, especially the Richardson extrapolation, are used to compute a good approximation for the second grid. Finally we propose a parallel deferred correction
(10724076), Daniel L. Bath. « Bernstein--Sato Ideals and the Logarithmic Data of a Divisor ». Thesis, 2021.
Trouver le texte intégralLivres sur le sujet "Free Differential Algebras"
A, Kaashoek M., Lancaster Peter, Langer Heinz, Lerer Leonid et SpringerLink (Online service), dir. A Panorama of Modern Operator Theory and Related Topics : The Israel Gohberg Memorial Volume. Basel : Springer Basel, 2012.
Trouver le texte intégralI, Diaz J., et International Conference on "Free Boundary Problems : Theory and Applications" (1993 : Toledo, Spain), dir. Free boundary problems : Theory and applications. Harlow, Essex, England : Longman Scientific & Technical, 1995.
Trouver le texte intégralRoe, John. Winding around : The winding number in topology, geometry, and analysis. Providence, Rhode Island : American Mathematical Society, 2015.
Trouver le texte intégral1974-, Nelson Sam, dir. Quandles : An introduction to the algebra of knots. Providence, Rhode Island : American Mathematical Society, 2015.
Trouver le texte intégralHeinz, Langer, Harry Dym, Marinus A. Kaashoek, Peter Lancaster et Leonid Lerer. Panorama of Modern Operator Theory and Related Topics : The Israel Gohberg Memorial Volume. Springer Basel AG, 2014.
Trouver le texte intégralEarl, Richard, et James Nicholson. The Concise Oxford Dictionary of Mathematics. 6e éd. Oxford University Press, 2021. http://dx.doi.org/10.1093/acref/9780198845355.001.0001.
Texte intégralEl Karoui, Noureddine. Algebraic geometry and matrix models. Sous la direction de Gernot Akemann, Jinho Baik et Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.29.
Texte intégralTretkoff, Paula. Algebraic Surfaces and the Miyaoka-Yau Inequality. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691144771.003.0005.
Texte intégralVazquez, Juan Luis, J. I. Diaz, M. A. Herrero et Amable Linan. Free Boundary Problems : Theory and Applications (Pitman Research Notes in Mathematics Series,). Chapman & Hall/CRC, 1995.
Trouver le texte intégralChapitres de livres sur le sujet "Free Differential Algebras"
Gao, Xing, et Li Guo. « Constructions of Free Commutative Integro-Differential Algebras ». Dans Algebraic and Algorithmic Aspects of Differential and Integral Operators, 1–22. Berlin, Heidelberg : Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-54479-8_1.
Texte intégralBorowiec, A., V. K. Kharchenko et Z. Oziewicz. « On Free Differentials on Associative Algebras ». Dans Non-Associative Algebra and Its Applications, 46–53. Dordrecht : Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-0990-1_8.
Texte intégralMikhalev, Alexander A., et Andrej A. Zolotykh. « Applications of Fox Differential Calculus to Free Lie Superalgebras ». Dans Non-Associative Algebra and Its Applications, 285–90. Dordrecht : Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-0990-1_47.
Texte intégralArias, Enrique, Vicente Hernández et Jacinto-Javier Ibáñez. « High Performance Algorithms for Computing Nonsingular Jacobian-Free Piecewise Linearization of Differential Algebraic Equations ». Dans Integral Methods in Science and Engineering, 7–12. Boston, MA : Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8184-5_2.
Texte intégralCastellani, Leonardo, Riccardo D’ Auria et Pietro Fré. « THE THEORY OF FREE DIFFERENTIAL ALGEBRAS AND SOME APPLICATIONS ». Dans Supergravity and Superstrings : A Geometric Perspective, 794–831. WORLD SCIENTIFIC, 1991. http://dx.doi.org/10.1142/9789814542388_0023.
Texte intégral« Differential idealizers and algebraic free divisors ». Dans Commutative Algebra, 233–48. CRC Press, 2005. http://dx.doi.org/10.1201/9781420028324-20.
Texte intégralSimis, Aron. « Differential idealizers and algebraic free divisors ». Dans Commutative Algebra, 211–26. CRC Press, 2005. http://dx.doi.org/10.1201/9781420028324.ch15.
Texte intégralDawson, C. Bryan. « Alternate Representations : Parametric and Polar Curves ». Dans Calculus Set Free, 1119–216. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780192895592.003.0009.
Texte intégralAschenbrenner, Matthias, Lou van den Dries et Joris van der Hoeven. « Newtonian Differential Fields ». Dans Asymptotic Differential Algebra and Model Theory of Transseries. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691175423.003.0015.
Texte intégrald’Inverno, Ray, et James Vickers. « Tensor algebra ». Dans Introducing Einstein's Relativity, 65–84. 2e éd. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780198862024.003.0005.
Texte intégralActes de conférences sur le sujet "Free Differential Algebras"
IZAURIETA, FERNANDO, EDUARDO RODRÍGUEZ, ALFREDO PÉREZ et PATRICIO SALGADO. « EXPANDING LIE AND GAUGE FREE DIFFERENTIAL ALGEBRAS THROUGH ABELIAN SEMIGROUPS ». Dans Proceedings of the MG12 Meeting on General Relativity. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814374552_0442.
Texte intégralRai, K. N., et D. C. Rai. « A Finite Element Method for the Solution of Free Boundary Problem ». Dans ASME 2004 Heat Transfer/Fluids Engineering Summer Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/ht-fed2004-56777.
Texte intégralJackson, Dominic R., et S. Olutunde Oyadiji. « Free Vibration Analysis of Rotating Tapered Bresse-Rayleigh Beams Using the Differential Transformation Method ». Dans ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87843.
Texte intégralMargetts, Rebecca, et Roger F. Ngwompo. « Comparison of Modeling Techniques for a Landing Gear ». Dans ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-39722.
Texte intégralBert, Charles W., et Huan Zeng. « Analysis of Axial Vibration of Compound Bars by Several Different Methods ». Dans ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/vib-21564.
Texte intégralBarhorst, Alan A., et Louis J. Everett. « Obtaining the Minimal Set of Hybrid Parameter Differential Equations for Mechanisms ». Dans ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0395.
Texte intégralZhu, W. D., Y. G. Mao et G. X. Ren. « Dynamic Modeling and Analysis of Three-Dimensional Slack Cables With Application to Elevator Traveling Cables ». Dans ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-53691.
Texte intégralFarid, Mehrdad, et Stanislaw A. Lukasiewicz. « On Dynamic Modeling of Multi-Link Spatial Manipulators With Flexible Links and Joints ». Dans ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0536.
Texte intégralTerze, Zdravko, Milan Vrdoljak et Dario Zlatar. « Numerical Flight Vehicle Forward Dynamics With State-Space Lie-Group Integration Scheme ». Dans ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12319.
Texte intégralZhu, W. D., H. Ren et C. Xiao. « A Nonlinear Model of a Slack Cable With Bending Stiffness and Moving Ends With Application to Elevator Traveling and Compensation Cables ». Dans ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-39219.
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