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Our study highlights the role of the landscape matrix and time in shaping animal communities and the resulting cross-taxonomic associations in the woodland remnants, especially after a major perturbation event (i.e. plantation establishment).
To combine multidimensional fluorescence data (time and spatial), a new multimodality imaging (SHG-TCSPC) based on the SHG method was considered to detect especially collagen matrix and Time Correlated Single Photon Counting (TCSPC) method to contrast signal (auto-fluorescence background, SHG and immunolabelling staining) (McCourtie & Poxton 1990; Werkmeister et al. 2009).
Suprathreshold TMS over the DBS leads alone failed to induce a consistent alpha or beta ERD in the STN, as evidenced by the group average matrix and time series of averaged individualized beta activity (Fig. 5A and B).
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A neighboring relative state information based formation tracking protocol with an unknown gain matrix and time-varying delays is presented.
Choose the inner coupling matrix B as an identity matrix and time-varying delay as (xi (t)= 1-cos (t))/2).
System simulation is also provided in this paper to demonstrate the integration between matrix formulation and time matrices.
The uncertain nonlinear system is represented using a fuzzy function having constant matrices and time varying uncertain matrices that describe the nominal model and the uncertainty in the nonlinear system respectively.
Incorporating the corresponding matrices and time delay perturbations for the other two walls, we may write Δτ = A Δ x t (28).
The grand average matrices and time series of averaged individualized beta activity in response to subthreshold (Fig. 4A and C) and suprathreshold (Fig. 4B and D) stimulation over the SMA also confirmed ERDs in the beta bands but not alpha bands.
It was also seen in grand average matrices and time series of averaged individualized beta activity in response to subthreshold ipsilateral M1 stimulation (Fig. 3A and G), suprathreshold ipsilateral M1 stimulation (Fig. 3B and H), and suprathreshold contralateral M1 stimulation (Fig. 3C).
To allow for a Riccati equation approach, singularities in the weighting matrices and time-variance are accounted for using a lifting approach.
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