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Fourth-order kinematic analysis: Advanced decomposition methods for particle motion in modified orthogonal frame. [PDF]
PLoS OneAlghamdi F, Elsharkawy A.
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Application of Shannon Entropy to Reaction-Diffusion Problems Using the Stochastic Finite Difference Method. [PDF]
Entropy (Basel)Kamiński M, Ossowski RL.
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Exact ODE Framework for Classical and Quantum Corrections for the Lennard-Jones Second Virial Coefficient. [PDF]
Entropy (Basel)Zhao Z +6 more
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Decompositions of Hyperbolic Kac-Moody Algebras with Respect to Imaginary Root Groups. [PDF]
Commun Math PhysFeingold AJ, Kleinschmidt A, Nicolai H.
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An improved quantum genetic algorithm with adaptive dynamic rotation for urban facility spatial optimization. [PDF]
Sci RepTian H, He Y.
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On Differential Algebraic Systems
IFAC Proceedings Volumes, 1995Abstract This paper presents a behavioral approach to dynamical systems that can be described by algebraic differential equations and inequalities. The differential algebraic system is defined without reference to input-output maps or relations, and without reference to state variables. The fundamental ideas center around the notions of the behavior (
Michalik, J, Willems, JC
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Algebraic invariants and their differential algebras
Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, 2010We review the algebraic foundations we developed to work with differential invariants of finite dimensional group actions. Those support the algorithms we introduced to operate symmetry reduction with a view towards differential elimination.
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Kahler Differentials and Differential Algebra
The Annals of Mathematics, 1969The theory of differential modules which is developed in [2] is used here for the study of differential rings containing the rational numbers Q (frequently called Ritt algebras). This is done by introducing differential module structures on certain modules of Kihler differentials.
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DIFFERENTIAL ALGEBRA AND CONTROLLABILITY
IFAC Proceedings Volumes, 1989Abstract The concept of controllability is generally introduced in control theory by means of definitions in the fields of functional analysis and dynamical systems. In the linear case, this concept can be tested by a well known formal criterion based on rank study of the controllability matrix , without any need to integrate the system. By analogy,
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2020
This chapter investigates differential graded algebras. Throughout the chapter, G will be a Lie group with Lie algebra g. On a manifold M, the de Rham complex is a differential graded algebra, a graded algebra that is also a differential complex. If the Lie group G acts smoothly on M, then the de Rham complex Ω(M) is more than a differential graded ...
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This chapter investigates differential graded algebras. Throughout the chapter, G will be a Lie group with Lie algebra g. On a manifold M, the de Rham complex is a differential graded algebra, a graded algebra that is also a differential complex. If the Lie group G acts smoothly on M, then the de Rham complex Ω(M) is more than a differential graded ...
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