Sentence examples for structured rank from inspiring English sources

The structure of H is Toeplitz-plus-Hankel and a structured rank 2 matrix, which can be also efficiently implemented if the PSF satisfies a strong symmetry condition.

Unique in the history of Neanderthal achievements, the structures rank among the earliest human building projects ever discovered.

For Table 5, the average structure rank includes two challenges where the correct structures were ranked at positions 28 and 80.

The highest two identified structures (rank 1 and rank 2 structures) are precisely the same as the main structures validated by experimental methods.

Structure Rank 13C Deviation (ppm) 13C STDD (ppm) Minimum 1 0.04 1.21 Maximum 80 2.77 3.33 Average 2.5 2.17 3.18 The13C deviation is an average of all differences between the experimental and predicted13C chemical shifts whereas STDD is the standard deviation between all the experimental and predicted 13C chemical shifts.

This analysis shows that the two lowest energy structures in Figure 10 (a hypothetical structure rank 1 for PCM, and second in energy for DFT-D and PIXEL, and the experimental structure differ substantially in the packing of the pyrogallol molecules.

Excluding these two challenges, the average structure ranking lists the correct structure in first place.

The top ranked structures are shown in Fig. 17. Figure 17 The beginning of the file containing structures ranked by d N ( 13 C) values.

NMR spectrum prediction is then used to select the most probable structure and compare it with other structures ranked in decreasing order of probability.

The first four structures of the ranked output file are shown in Fig. 15. Figure 15 The top of the file containing structures ranked by d N ( 13 C) values.

Table 5 The structure ranking for the 100 Double and Single Agreement challenges based on comparison of experimental versus predicted shifts.