Sentence examples for Such coordinates from inspiring English sources
Though application of complex coordinates in rotordynamic analysis is not novel per se, specific advantages gained from using such coordinates in a transfer matrix analysis have yet to be elucidated.
One described the signal from remote magnetospheric sources, modeled as a zonal external field of degree 2 in geocentric solar magnetospheric (GSM) coordinates (for a definition of such coordinates, see, e.g., Hulot et al. (2015a)).
We prove that the transformation introducing such coordinates maps analytically a complex ball of radius R/Nα (in discrete Sobolev-analytic norms) into a ball of radius R′/Nα (with R,R′>0 independent of N) if and only if α≥2.
It should be noted, however, that our journals do not routinely archive structural data for biological macromolecules, because of the long-standing community practice of depositing such coordinates at the Protein Data Bank (where they can also be visualized in the same manner).
Previous studies have indicated that the accuracy of such coordinates can be within two metres [10], [25].
On the other hand, JNK is a member of the stress-activated protein kinase family (SAPK), and as such, coordinates gene expression programs in response to cellular stress and inflammation [30].
Such coordinating principles, as they are then termed, are indispensable for the ordering of perceptual data; they define the objects of knowledge within the theory.
It identifies one extremely important subset of such coordinate transformations namely the set of structure-preserving transformations for second order systems and it highlights the importance of these.
If (U_j) and (U_k) are two such coordinate charts, then the function (g_{jk} := f_j/f_k) is holomorphic and nowhere zero on (U_j cap U_k).
Of course, any such coordinate system will not be unique and can be embedded into another global coordinate space in infinitely many ways, depending on global translation, rotation, and flipping.
These substitutions also leave the form of physical equations unchanged for coordinate-systems in motion, allowing for the relativity of space within such coordinate-systems, thus depriving space and time of the "last vestige of physical objectivity" (Schlick 2006a, Sec. VII).
