Largely unnoticed, Gov. Rick Perry signed legislation in June that created a Red River Boundary Commission to study — and possibly redraw — the border along Lake Texoma, bringing the pump station fully into Texas and fixing an unintentional boundary error that has caused headaches for water managers.
Under these assumptions, the relative boundary error e N exhibits the behavior shown in Figure 5.
This paper concerns the cell-boundary error present in multiscale algorithms for elliptic homogenization problems.
In Table 5, we reflect the data corresponding to boundary error B σ e for every single mask.
We go on to show that the 1-D expressions for error can be used to approximate the boundary error for 2-D problems, and that for the linear treatment, the boundary error again dominates.
The accuracy of the method has been analysed indirectly, by comparison with known modal solutions of rectangular plates, and directly, by assessing the boundary error.
This proposed automated procedure is verified while varying the correction function, Reynolds number (and thus first cell height and aspect ratio) and boundary error.
The proposed fully automatic segmentation method is applied to a BUS database with 184 cases (93 benign and 91 malignant), and the performance is evaluated by the area and boundary error metrics.
The greater problem for chemicals seems to be determining the mention boundaries, where errors cause a significant performance reduction since each boundary error results in both a false positive and a false negative under the common practice of assigning each token to at most one mention.
As it appears from Figure 2, the selection of the expansion order N = 22 leads to a very accurate Fourier-like representation v N ( x, y ) of the solution (featuring boundary error e N < 0.5 % ).
