The decomposition in (3) can also be approximated by samples of discrete-time Fourier transform, yields a decomposition off the form A [ k ] = U ′ [ k ] Σ ′ [ k ] V ′ H [ k ], k = 0, 1, …, K − 1. (7).
In this situation, we have a sample of discrete observations and try to estimate parameters for the process of (8) generating the sample.
KDE generates a continuous distribution from a sample of discrete events, and has been adapted for use with circular data (Brunsdon and Corcoran 2006, 309).
Briefly, we performed Monte Carlo sampling of discrete rotamer side-chain conformations on a fixed backbone.
Next, we apply the following two assumptions, in order to construct a continuous quasi-potential surface from this sample of discrete trajectories [ 38]: 1.
Representative transmission electron micrograph (TEM, Figure 1a) illustrates that the samples consist of discrete, nanosized CoFe2O4 crystals with diameter of 8 to 18 nm.
These pilot tones help the receiver to extract some of the DFT samples of the discrete time varying channel (84) at the respective frequencies in each transmitted symbol.
In order to explain the basis of the frequency-estimating procedure, first, let x raw(n) be the samples of a discrete cosine wave in the form {x}_{mathrm{raw}}(n)={A}_0kern0.5em cos left(2pi {f}_0nvarDelta T+{varphi}_0nvarDeltan3em n=0,1,2,dots (1).
We performed Raman spectroscopic analyses of CM in thin sections of samples from discrete slip zones in the Emi major thrust (an ultracataclasite layer) and the Kure OST (a pseudotachylyte layer).
The as-synthesized V2O5 samples are composed of discrete and uniform micro-flower, which is further assembled from several nanosheets.
To test whether adequate kinetic estimation could be obtained using IF corrected by fewer blood samples, three reduced sets of discrete blood sample data were formulated.
