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It is interesting to study the case where nonlinearities are known with the same scaling factor, i.e., Ω = ηI.
Unexpectedly, the scaling range for acoustic bursts not only covers this range but spreads to much shorter time scales with the same scaling exponent.
Furthermore, if the average sum of the tap-powers for the channel between the th receive and th transmit antennas is same, that is, if for all, after some straightforward steps, we can easily verify that the distribution of remains complex Wishart with the same scaling matrix and the degrees of freedom parameter.
All values were scaled so as to range from -1 to 1 over the training set of 75 complexes for visual examination and comparison of features, with the same scaling factors were applied to the test set.
We conducted a similar analysis of relative age, with the same scaling for multiple-nucleotide deletions as a single unit site when those deletions were shared by the human and chimpanzee sequences.
Given its limited computational cost (ca. twice that of TD-DFT with the same scaling) and its ease of use, GW/BSE probably stands as one of the best compromises among ab initio approaches for cyanines.
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It is a measure of the extent to which items within the same scale correlate with each other.
If it is continued, it threatens the banks with the same scale of loan losses as in the devaluation scenario although the losses would emerge more gradually than if the currency were suddenly to be devalued.
Mr. Seidenberg said that he would welcome competition from companies with the same scale as Verizon, but that smaller ones that lease lines on a local carrier's network would not be able to ensure security, build backup systems and pull off a recovery of the scale of what was needed after Sept. 11.
For an individual fault with the same scale of grid network, the computation time is almost the same.
An underwater gate valve heat transfer experiment with the same scale of the computational model is conducted for validation.
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