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Furthermore, string theory has a built in mechanism (namely a minimum string length) that seems to rule out singularities of infinite curvature or spatial length shrinking to zero.
This design is based on the consideration that the temporal length of the MeV pulse is proportional to the spatial length of the pulse in a certain semiconductor.
Wave transmission characteristics in elastic media that have periodic microstructure over a finite spatial length are examined theoretically as well as numerically.
Figure 8 The average spatial length of multipath components accounting for 80% of the measured response energy from a single typical measurement and the standard deviation, plotted (a) against sub-band carrier frequency.
The spatial length and the intensity evolution versus time of the MeV pulse can be obtained by recording the region of the refractive index change that is induced by the MeV pulse.
The validation was conducted at four spatial length scales from 25too 150 km using windows to represent potential dust source areas centered on and positioned around eight meteorological stations within the study area.
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At longer spatial lengths relative to the grid spacing there is what is referred to ubiquitously as "spurious vorticity," or the long-thin zone problem.
The purpose of the degree correlation is to have a per-degree metric of the Swarm solutions that provides an indication of which spatial lengths are in good agreement with the GRACE solutions.
The Gaussian function is used as the two-point correlation function: C n (z ) = exp (− z 2 / (l c / 2 ) 2 ), where l c is the spatial correlation length of refractive index representing the length scale over which the spatial correlation decreases to a negligible level.
The contact guidance efficiencies and the fit are shown in Figure 2 C. The three scales correspond roughly to the spatial resonance length scale (the peak position in Figure 2 C), a damping length scale (the width of the peak), and the signal strength (the height of the peak).
A theoretical analysis shows that the spatial correlation length of the prediction errors controls the minimum distance between the sensors and should be taken into account when designing optimal sensor locations with potential sensor distances up to the order of the characteristic length of the dynamic problem considered.
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