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Exact(3)
A weak formulation of the two-phase flow problem including species transport is derived, where the problem specific function spaces are replaced by appropriate projections operating on standard function spaces.
The ill-posedness of the Poisson Neumann system manifests as an inconsistency of the Schur complement problem, but it is shown that this can be accounted for with appropriate projections out of the null space of the Schur complement matrix without affecting the accuracy of the solution.
We hypothesize that neural grafting can restore the disrupted hippocampal mossy fiber circuitry in this model through the establishment of appropriate mossy fiber projections onto grafted pyramidal neurons and that these appropriate projections will lead to reduced inappropriate sprouting into the DSGL.
Similar(57)
The MCSM eigenstate is represented as a superposition of MCSM basis vectors with the appropriate projection onto spin and parity.
With modern mapmaking software, choosing a different and perhaps more appropriate projection, depending on the area to be displayed, should be much easier.
Due to the increase of points, one has to estimate the surface normals and to determine the appropriate projection distance.
The different forms of unwrapping can be achieved by selecting an appropriate projection plane to be populated as the unwrapped image.
For our case, we will demonstrate that a ground plane view is also possible with our method by choosing an appropriate projection plane as illustrated in Figure 8c. Figure 8 Projection planes for unwrapping.
PAST interprets the signal subspace estimate as the solution of a minimization problem which can be simplified via an appropriate projection approximation and then applies a recursive least squares (RLS) procedure to track the signal subspace.
By choosing an appropriate projection plane, the algorithm is able to produce different unwrapped views, including (a) the cylindrical panoramic view, (b) the cuboid panoramic view, and (c) the ground-plane view.
Further, if access to full data volume is available, the proposed wall removal procedure can also be applied to the full data vector z with appropriate projection matrices determined from the dictionary matrices A and B instead of Φ A and Φ B, respectively.
More suggestions(15)
adequate projections
appropriate screenings
appropriate forecasts
appropriate expectations
appropriate estimations
appropriate projectors
appropriate requirements
prudent projections
appropriate protrusions
appropriate images
appropriate presentations
appropriate predictions
appropriate calculations
appropriate figures
reasonable projections
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com