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Titlebook: Conservative Realizations of Herglotz-Nevanlinna Functions; Yuri Arlinskii,Sergey Belyi,Eduard Tsekanovskii Book 2011 Springer Basel AG 20

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Conservative Realizations of Herglotz-Nevanlinna Functions978-3-7643-9996-2Series ISSN 0255-0156 Series E-ISSN 2296-4878
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https://doi.org/10.1007/978-3-7643-9996-2Herglotz-Nevanlinna function; operator theory; system theory
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978-3-0348-0333-5Springer Basel AG 2011
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In geotechnical engineering, time-dependent settlement is normally associated with the process of consolidation. In this, settlement behaviour is determined by the rate at which water is able to flow from the voids under a hydraulic gradient, allowing particles to slide into a more compact arrangement.
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In this chapter some additional functionalities that FOPID controllers should posses for their use in industry are discussed. In particular, the problem of tuning the set-point weight for FOPID controllers is addressed in the first part, whereas the second part is devoted to the analysis of anti-windup strategies.
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,Symmetries and Noether’s Theorem in MHD,In this chapter we discuss Noether’s first theorem in MHD. The analysis is similar to that in Padhye (.) and Webb et al. (.) We consider the Lagrangian form of the action (.), namely
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Advected Invariants,Tur and Janovsky (1993) developed a formalism for Lie dragging of geometrical objects . (tensors, p-forms and vectors) that are advected with the flow in ideal gas dynamics and MHD. The basic requirement for . to be advected or Lie dragged with the flow . is that
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