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These conditions constitute a generalization to the periodic case of the celebrated algebraic regulator equations of Francis.
Secondly, the proposed parametric relations between the pressure at the fictive throat and at the primary nozzle outlet constitute a generalization of particular geometries and operating conditions treated in previous studies.
We show that our model can be expressed in energetic terms and constitute a generalization of these approaches by extending the range of systems that can be represented (ie. including energy-consuming systems such as eukaryotic promoters) and the type of metrics that can predicted (ie. including measures of dynamic and stochastic properties).
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Algebraic fibring, described in Subsection 4.3 below, constitutes a generalization of fusion (at the propositional level), and generally solves the question of combining logics.
This theorem constitutes a generalization of Theorem 3.1 of [7] and the results generalized therein when (S=T) and (varepsilon=0).
The algorithm constitutes a generalization of projection-type methods to multi-phase flows and employs a predictor corrector time-marching scheme.
The essence of Napier's discovery is that this constitutes a generalization of the relation between the arithmetic and geometric series; i.e., multiplication and raising to a power of the values of the X point correspond to addition and multiplication of the values of the L point, respectively.
This approach constitutes a generalization of the beam tracing algorithm proposed by Hanrahan and Heckbert [5].
In a source coding context, the work in [3] constitutes a generalization to sensor trees of Wyner-Ziv's pioneering studies [4].
Then, they are simply considered as multidimensional arrays of numbers, constituting a generalization of vectors and matrices that are first‐ and second‐order tensors, respectively, to orders higher than two.
For the analysis of the dams' deformations, ANSYS code proposes the Drucker Prager stress criterion which constitutes a generalization of Von Mises criterion taking into account the first invariant of the stress tensor and the second invariant of the deviatoric stress tensor.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com