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Due to the large variation of the data, the various theoretical semivariogram models used were tested against the experimental semivariogram of logarithmically transformed data.
In this way, we obtained indicators that on the one hand display as well as possible the subnational variation of the data available at statistical offices and in survey datasets, while on the other hand their population weighted national averages are equal to the values used by the UNDP in constructing the HDI.
The proposed parameterization requires two important ingredients: (1) a blocking scheme that divides the data into several blocks according to the degree of spatial variation of the data; and (2) a method for choosing smoothing parameters of blocks.
Multiscale CTFs quantify variation of the data about every point in the data landscape at all spatial scales, unlike the usual covariance tensor that only quantifies global variation about the mean.
Results showed that digital mapping method can accurately predict the thickness of peat, explaining up to 98% of the variation of the data with a median relative error of 5% or an average error of 0.3 m.
Variation of the data of the conventional pin significantly decreased from 32 to 19% on removal of periosteum (σ=165 103 N, respectively, p=0.0967), while variation of the trochar-style remained statistically the same at 30 29% (σ=193 188 N, respectively, p=0.954).
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This is due to the particular nature of the Helmholtz operator and the sensibility of the solution to small variations of the data.
The recursive nature of the algorithm makes possible to design an evolving fuzzy rule-base in on-line mode, which adapts to the variations of the data pattern.
If anomalous variations occur in the time variations of the data, the absolute value of the network error would increase.
Figure 5 shows the horizontal and vertical variations of the data partitioning process [8].
Mathematically, the principal components of a given set of biometric images characterize the variations of the data [18, 19].
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