Our results indicate a Fourier-like spatial analysis underlying neuronal representations of location, and suggest that path integration is performed by integrating displacement along a restricted set of directions.
The observed velocity waveforms were numerically integrated into displacement in the time domain, were band-pass filtered from 4 to 50 s, and were resampled at 5 Hz.
The data were integrated to displacement and band-pass filtered between 0.002 and 1.0 Hz. Figure 1 shows locations of the mainshock and aftershocks (M > 5.0) from the unified JMA catalog.
From individual raw seismic records covering the time period 11 00 12 00, we corrected for instrumental responses, applied a high-pass filter of 0.05 Hz, integrated to displacement, and applied a band-pass filter of 0.1 0.5 Hz.
The data windowed at 50 seconds starting at 10 seconds before P-wave arrival and was integrated to displacement, and band-pass filtered between 0.002 Hz and 1.0 Hz. Figure 5 shows the depth of the seismogenic zone for the region, using the aftershocks (M > 2.0) which occurred within ten days of the main-shock.
Integrating tile displacement with strand displacement circuits for sensing small molecules and proteins using aptamers38 could allow reconfiguration to be triggered by more diverse environmental signals.
All the seismograms with the 1-Hz sampling were deconvolved with the reported instrumentation responses and numerically integrated into displacements.
Original acceleration data (K-NET and KiK-net) and strong motion velocity data corrected for the instrument response (F-net) are filtered by a bandpass filter and integrated into displacements (the K-NET and KiK-net accelerographs have flat transfer function in our target frequency range).
In order to estimate the displacement field intensity u z,t 2, within the defect layer as a function to the time, we integrate the displacement field on the defect layer using, Φ ( t ) = ∫ defect u 2 ( z, t ) dz, (10).
(1) A new IGA beam element is developed by integrating the displacement field of the element, which is approximated by the NURBS basis, with the internal work formula of Euler-Bernoulli beam theory with the small deformation and elastic assumptions.
