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Since in L1 ([0, 1], ν), t = q if and only if t(x) = q(x) a.e., the same convention applies to the space of interest U.
This method enables the selection of reduced models based on their relative performance over the system state space of interest, by determining input trajectories that maximize error in outputs between original and reduced models.
A new discretization scheme using one layer of grid points outside the fluid domain is presented and shown to provide convergent solutions over the full physical and discrete parameter space of interest.
In particular, a great improvement is shown in case of a unique reduction matrix whose columns span the solution of the parameter space of interest in an accurate enough way, and in case of substructuring reduction techniques.
3), one might be justified in employing obviously false chaos models because the infinitely intricate structure of strange attractors (1) is the result of relatively simple stretching and folding mechanisms and (2) many of the points in state space of interest are invariant under this stretching and folding mechanism.
To do so, a composite model consisting of a nominal ARX model and the JITL, where the former is used to capture linear process dynamics and the latter to approximate the inevitable modeling error caused by the process nonlinearity, is employed to model the process dynamics in the operating space of interest.
Similar(42)
We compute the growth bound of weighted advection semigroups on the n-dimensional flat torus with general (not necessarily bounded) measurable nonnegative collision frequencies and give a compactness theorem in L1 spaces of interest for the stability of essential type of kinetic semigroups under perturbation by scattering operators.
The surface areas of the cranial cavity and of the CSF spaces of interest were delineated on the photographs and determined using the ZEN 2012 software (Zeiss).
Each photograph included a scale bar added in the cutting plane to enable quantification of the surface area of the cerebral structures and spaces of interest.
This conservation is independent of the specific metrics or coordinate functions of choice, but sensitive to the isometric features of the map(s) that define the relations between points in the sensory-motor spaces of interest.
It should be noted that with the exception of the ventricular system and lateral recesses of the fourth ventricle, all spaces of interest contain, in addition to CSF, arachnoid trabeculae, immune cells, and vessels traveling through the spaces before entering the brain.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com