Following their method, we ﬁrst compute the transmission versus the sample size at various frequencies with the source and the receiver located at the opposite sides of the sample.
Are waves all localized in two dimensional random media?
FIG. 3: The logarithmic average transmission T and its ﬂuctuation versus the sample size for two frequencies.
Are waves all localized in two dimensional random media?
At both frequencies, a sampling time of 0.6 ms was used.
Searches for Giant Pulses from Extragalactic Pulsars
By the law of large numbers and the fact that (Uj , j ≥ 1) is distributed as a uniform i.i.d. sample, it follows that the length of the interval equals the asymptotic frequency of the block of Π(t) containing i, a.s. for every t.
The genealogy of self-similar fragmentations with negative index as a continuum random tree
These afterglows have the widest optical-NIR frequency coverage in our sample.
Absorption in Gamma Ray Burst afterglows
As was mentioned above, sample frequences fℓ are consistent estimators for moments Mℓ (µβ ).
Grade of Membership Analysis: One Possible Approach to Foundations
For waveforms that exceed the ATWD capture interval, sampling at a lower frequency is sufﬁcient to capture relevant information at later times.
The ICECUBE prototype string in AMANDA
Table II and Fig. 8 show the frequency with which limit cycles of a given length were found for 10 samples of an N = 800 system at β = 20 using 25 different random starting positions each.
Free energy landscapes, dynamics and the edge of chaos in mean-field models of spin glasses
They argue that they found CTTS periodic variables that we missed because of their higher sampling frequency.
The Variability and Rotation of Pre-main Sequence Stars in IC 348: Does Intracluster Environment Influence Stellar Rotation?
The table 3 shows sample statistics for ”true” random and RANDU generated sequences compared to theoretical frequencies of distances between maxima.
Probability distribution of distances between local extrema of random number series
The frequencies of the modes in our sample are determined by the realization of disorder.
Spatial Extent of Random Laser Modes
The units with A(t) a time series with n samples as a function of time, F F T the fast Fourier transform, and ν the frequency.
Study of the Dynamics of Large Reflector Antennas with Accelerometers
Sampling g (t) at minimally the frequency 2E /, twice the Nyquist critical frequency, captures the full behaviour of g (t).
On the Luttinger theorem concerning number of particles in the ground states of systems of interacting fermions
The usual Nyquist Theorem states that for a signal with maximum frequency fmax , one needs to sample the signal at a rate which is at least twice this number.
Asymptotic Behaviour of Random Vandermonde Matrices with Entries on the Unit Circle
From the detected fraction of artiﬁcial binaries, one can reconstruct the true binary frequency among the artiﬁcial sample by statistical means. (For an excellent description of this approach and all related problems, see Kouwenhoven 2006).
A Spectroscopic Survey of WNL Stars in the LMC: General Properties and Binary Status
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