(2) This matrix is a (U 2)) operator ((B in U 2))) parametrized by the three space-time dependent Euler angles (theta_{j,n}), (alpha_{j,n}), (beta_{j,n}) and a space-time dependent phase (xi_{j,n}).
Size- and time-dependent phase transformation of the less stable vaterite particles are observed within 96 h in cell medium.
Compared to all-hours data, using nighttime data also enhances the amplitude of the peaks in the 6-month variation at high latitudes and generates a time-dependent phase shift between zero and about ten days.
Due to the smaller magnitude of the time-dependent phase hardware delays for GALILEO and BDS, even regardless of them, the triple-frequency PPP model can achieve a similar or better positioning accuracy.
In particular, the time-dependent phase space where we settle the problem is mathcal{H}_{t}^{-1}=H_{0}=L^{2},qquad mathcal{H}_{t}=H_{1}, quad mbox{with } Vert uVert _{mathcal{H}_{t}}^{2}=Vert uVert ^{2}+varepsilon(t) Vert uVert _{1}^{2}, then we have the compact embeddings mathcal{H}_{t}^{sigma}Subsetmathcal{H}_{t}, quad -1leqsigma< 1, with injection constants independent of (tinmathbb{R}).
The feature of the LFP that most effectively can determine the pace of a local clock is its time-dependent phase.
1The time-dependent phase shift of the EOM, Δ t), is in turn sinusoidally modulated.
Measurement of the transmitted polarized fundamental beam allowed for evaluation of the time-dependent phase angle of the EOM, which in turn defines the polarization state of the incident light.
This can be done by extracting the time-dependent phase of each oscillator (e.g. via Hilbert transform), plotting their joint probability distribution, and comparing it to the product of the individual distributions (again use surrogate datasets to test for significance).
