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The ECL language is a data-centric, declarative language which allows to define parallel data processing on HPCC Systems.
We first do a systematic research of the best fitting model, which allows to define the range of possible values for all the parameters.
Functional MRI (fMRI) is a non-invasive technique which allows to define how the principal brain systems function in healthy subjects and to interrogate their alterations in patients with CNS pathologies.
We choose a vertex of 𝒯 that we call root, which allows to define the directions up (towards the root) or down (away from the root) when moving on edges of the graph.
Calibration samples from the uncertain parameters and from the initial crack lengths are generated using Koshal design [80], which allows to define polynomial response surfaces with an optimal number of simulations.
Additional pre-processing functions include adjustment of the biofilm carrier horizontal position within the 3D image stack (Fig 6C), which allows to define the deepest cross section containing any biofilm material, and pre-reading of the input files to ensure data availability.
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The displacement field is described according to the basic aspects of the general Higher-order Shear Deformation Theories (HSDTs), which allow to define several kinematic models as a function of the free parameter that stands for the order of expansion.
Integrated seismic and well data analysis have allowed the recognition of seven major stratal surfaces (S1 S7) of sequence stratigraphic significance and stratal units typified by diagnostic architectures, which allow to define three depositional sequences accumulated since the onset of the Messinian Salinity Crisis.
In order to apply the optimization scheme, the calculation of the linkage kinematics is firstly performed through a variational approach, then the sampled surface describing the linkage trajectory is approximated by a set of Zernike polynomials, which allows to effectively define and calculate the target function for the optimization itself.
(Hausdorff dimension of singular sets of SOLA) Theorem 16 allows to define SOLA which are initially defined only almost everywhere via convergence outside a singular set (i.e. set of non-Lebesgue points) of Hausdorff dimension not larger than n - p, when p ≤ n.
Secondly, the contrast matrix was generated, which allows to assign the coefficients defined by the design matrix to contrasts of interests (in our case time point 0 hours, RA versus OA patients, Table 2).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com