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Titlebook: Geometric Structures of Statistical Physics, Information Geometry, and Learning; SPIGL‘20, Les Houche Frédéric Barbaresco,Frank Nielsen Con

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Hakimeh Sadeghian,Zahra Savand-Roomimics (see, [., .]). We specifically focus on the case of simple and open systems, in which the thermodynamic state is represented by one single entropy and the transfer of matter and heat with the exterior is included. We clarify the geometric structure by introducing an induced Dirac structure on t
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Conducting a Cardiac Ultrasound Examinationontents of this paper and the one already published in [.] provide a geometrical formulation, which tries to shed more light on the properties of thermodynamic systems without claiming to be a definitive theory. In order to model the time evolution of systems verifying the two laws of thermodynamics
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Ischemia and Myocardial Infarctionincorporating boundary integral method and time integrator in Lie group setting. By assuming inviscid and incompressible fluid, the configuration space of the MBS-fluid system is reduced by eliminating fluid variables via symplectic reduction without compromising any accuracy. Consequently, the equa
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The Naming and Classification of , SpeciesWe consider the integrable Hamiltonian System of the Peakons-Anti Peakons associated with the Camassa-Holm equation. Following previous contributions of Nakamura for the Toda Lattice, we discuss its link with the Geometry of Information.
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Physiology and Biochemistry of Echinostomes,This chapter is a revised version of a tutorial lecture that I presented at the École de Physique des Houches on July 26–31 2020. Topics include: Non-parametric Information Geometry, the Statistical bundle, exponential Orlicz spaces, and Gaussian Orlicz-Sobolev spaces.
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A Lecture About the Use of Orlicz Spaces in Information GeometryThis chapter is a revised version of a tutorial lecture that I presented at the École de Physique des Houches on July 26–31 2020. Topics include: Non-parametric Information Geometry, the Statistical bundle, exponential Orlicz spaces, and Gaussian Orlicz-Sobolev spaces.
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