Sentence examples for coordinates compared from inspiring English sources

With the new method the computational effort increases only polynomially, in the simplest case even only linearly with the number of internal coordinates, compared to an exponential increase for the well known Gausssian cubatures.

The performance of GTLSP algorithm is verified in terms of a simulated experiment, and the results show that GTLSP algorithm can improve the statistical accuracy of the transformed coordinates compared with the existing TLS algorithms for 3D similarity transformation.

The mechanical error is caused by the misalignment of the image coordinates compared to the LabVIEW user interface coordinates.

Unlike early intermediate coordinates, these show significantly larger RMSD from the 1M0L coordinates compared with ground state coordinates on average.

We then grouped isomiRs by classes, according to the modification of their start and end coordinates compared to their canonical counterpart.

Conversely, the power-law fit underestimates the slope of the best-fit line (in double logarithmic coordinates) compared to the asymptote of the linear BDIM prediction and, accordingly, significantly overestimates the number of families in the highest bins (Fig. 16, 17).

We present some results for direct discretisation on the cylindrical geometry in (R, Z) space and in transformed coordinates, comparing four commonly used transformations.

Those changes in landmarks BR and LD dominates the PC1-3D whicancan be easily observed from a vector of changes in landmarks coordinates comparing the upper and higher limits of variation described by PC1-3D (Table 6).

This angle is close to the angle of 161° measured in gas-phase UO3 which also adopts a distorted T-shaped geometry.[ 16] The N-U-O angle in 5 is slightly closer to linearity than in 4 (160.49(11)°; Figure  1a), but this most likely reflects the increase in coordination number at uranium in 5 (seven-coordinate) compared to 4 (six-coordinate).

Therefore, we can obtain more accurate coordinate compared to the coordinate obtained when BAN is random selected.

A larger difference was seen for the X-coordinate compared to the Y- and Z-coordinates.