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In the process, we find a parallel between the range of volumes, relative to the total excess volume, that are explored in the first few orders of magnitude of relaxation time increase, and the range of amorphous state inherent structure energies, relative to the total range, that are explored in ergodic computer simulations, which also cover only this limited range of relaxation time change.
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Hence, only first few order moments are required for a sufficient good approximation of the face image.
For the NVIE, the main frequencies are natural frequencies, in which the first few order natural frequencies have relatively large impact.
From the viewpoint of actual engineering, it can be fully achieved to make the first few order natural frequencies (taking the first six order natural frequencies as the example) less than 385 Hz [3].
The key contribution of this paper is that features of 2D faces are represented in terms of a statistically selected set of 2D discriminative GHMs (DGHMs) as opposed to commonly chosen heuristic set of first few order moments only.
It is very efficient formulation of the system response, if higher-order variable correlations are weak, allowing the physical model to be captured by first few lower-order terms.
It is a very efficient formulation of the system response, if higher order variable correlations are weak, allowing the physical model to be captured by the first few lower order terms.
In Part 1 of this paper, these correlation functions are developed using a layered atmospheric model and calculations for the first few low-order Zernike modes are performed.
HDMR is efficient at capturing the high-dimensional input output relationship such that the behavior for many physical systems can be modeled to good accuracy only by the first few lower-order terms.
It is a very efficient formulation of the system response, if higher order variable correlations are weak and if the response function is dominantly of an additive nature, allowing the physical model to be captured by the first few lower order terms.
Judging by their first few days, their orders seem clear: brutalise and intimidate protesters and their families.
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