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The overexpression of GRK shifts the bias curve uniformly upward toward β-arrestin in the standard plot format, suggesting an increase in the β-arrestin transducer that is reflected by increasesin both B0 and B∞ (a clockwise rotation of coordinates toward arrestin in the disk model).
It is found that the L CR) is an invariant with respect to the rotation of coordinates, and it has a variation when the coordinates have a translation.
end{aligned}Since (kappa /16ge 2), (7.3) follows from Lemma 5.1, by using a rotation of coordinates and setting begin{aligned} mathcal {U}=(D_{x'}u,{text {div}} u,U_2,ldots,U_d), end{aligned}where for (i = 2, ldots,d), (U_i) are given as in (7.16) below.
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A rotation of coordinate axes is one in which a pair of axes giving the coordinates of a point (x, y) rotate through an angle ϕ to give a new pair of axes in which the point has coordinates (x′, y′), as shown in the figure.
To compare the pose estimation results of a Kinect and a VICON, coordinate systems and data frames of both systems are matched through the rotation of coordinate systems and the synchronization of frames.
The method of components analysis involves the rotation of coordinate axes to a new frame of reference in the total variable space an orthogonal or uncorrelated transformation wherein each of the n original variables is describable in terms of the new principal components.
We used a method that computes the cross-correlation coefficient with the rotation of coordinate axes (e.g., Shih and Meyer, 1990), with steps of 5° and shifting the time of one component waveform by steps of 5 ms for the two horizontal component waveforms with low-pass filtering at 10 Hz.
It may be for instructive reasons that authors refer to PCA as a rotation of the coordinate axes [8].
Changes in sample composition merely result in a rotation of the "coordinate system" spanning Sn, which can be represented not only by the vectors { G1,..., Gn}, but also by all orthogonal vector systems which can be generated by the rotation of { G1,..., Gn}.
A simple approach to do so is to move the target area to around the equator of the computational spherical coordinate system using geometrical rotations of the coordinate axes (e.g., Igel et al. 2002).
Defined as the matrix elements of the rotation operator ˆR in R3 and parametrized in terms of the three Euler angles α, β, and γ, these functions arise not only in the transformation of tensor components under the rotation of the coordinates, but also as the eigenfunctions of the spherical top.
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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