Sentence examples for such coordinate from inspiring English sources

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.

Using such coordinate maps, we can prove by straightforward computations that under Legendre transforms the Poincare forms l θ (Equation 57) and l ω (Equation 58) transform respectively into l ω ˘ Open image in new window (Equation107) and l ω ˘ Open image in new window (Equation 108).

Such coordinate regulation of multiple Trp genes has been documented in other cell types [26].

Such coordinate regulation suggests they play essential roles during these phases of the chlamydial cell cycle.

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.

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).

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.