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where e j is the standard basis vector with the j-th element equal to 1, and ∥·∥k,1 stands for the sum of k maximal magnitudes of components of a vector.
The shifted magnitude of component S3 is the greatest among those reported in the literature, suggesting that the tilted angle of the dimer is great so as to cause a large charge transfer.
In the austenite matrix surrounding thin plate martensite, the magnitude of components of strain tensor is nearly as large as those of rotation tensor, implying that shape strain of thin plate martensite is accommodated by elastic deformation of austenite.
All the data were analyzed using a statistical mixed-effects model [14], described in more detail below, in order to determine the global variability of the calibration factor and the magnitude of components of its variance due to various factors.
Metallic hook was connected to a highly conductive copper wire of short length (about 300 mm) so that magnitudes of the component R wires is much smaller than the other terms and can be ignored.
The purpose of the statistical analysis was to investigate the magnitudes of the components of variance of the calibration factor and to assess their impact on calibration factor variability.
Let U, T, B, and N be the respective magnitudes of these components, and l be the timescale of the Ornstein Uhlenbeck process.
The results show that the magnitudes of constant components in the spectra increase with the increase of crack severity.
Experimental results show that for the present case the magnitudes of the components of the along- and cross-radar-beam drift velocities are, respectively, 22.4 and 11.9 m/s.
Clustering is based on the comparison of magnitudes of FV components of a query.
The addition of the clipping vector must keep the magnitudes of the components of the current active set balanced.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com