The optimal values and attaining regions for n ⩽ 13 are presented and interpreted as a study of the range of the Dirichlet Laplacian eigenvalues.
Other countries in the region, including Turkey, Bahrain, Jordan and Saudi Arabia, share Egypt's goal of attaining regional internet leadership.
For both spectral functions and each n, the optimal attaining region has multiplicity two nth eigenvalue.
The plot demonstrates the advantage of extrapolation and that a similar CPM accuracy was attained in regions that differ in their density.
The lowest values of the Jacobian (highest magnification) are attained in regions where one of the densities is high and the other low.
In the study of Liu et al [ 18], four of our candidate genes, HTR2A, LRP1, NTAN1 and GRIA2, attained significant "region-wide" P-values, but not "phenotype-wide" P-values, 23 genes were not significant at either level, and 44 were not detected at levels sufficient for analysis.
Only the pickuped object within the certain region can capture clear elemental images, and blurry elemental images could be attained outside the region.
The following year the region attained a significant level of self-government, and it was the main centre of Republican strength when the Civil War broke out in 1936.
Although information about the following centuries is meagre, clay seals and inscriptions on copper plates and stone that date from the 7th to the mid-12th century indicate that the inhabitants of the region attained considerable power and a fair degree of social, economic, and technological development.
With 0.4 wt.% GO-CF and a shield thickness of 5 mm, a shielding effectiveness of 34 dB was attained at X-band region (8.2 12.4 GHz), which had a 31% increase than that of CF/cement (26 dB) in the same mass fraction.
Last year, earnings at Fubon Insurance were nearly flat, at $89 million, and have yet to recover to the levels they had attained before the region's financial crisis.
