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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.
This is due to the particular nature of the Helmholtz operator and the sensibility of the solution to small variations of the data.
The neurons in the input layer compute the data provided by the investigators; the elements in the single or multiple hidden layers allow for the development of multiple variations of the data; while the output layer calculates the "answer" estimated by the model.
Figure 5 shows the horizontal and vertical variations of the data partitioning process [8].
If anomalous variations occur in the time variations of the data, the absolute value of the network error would increase.
Mathematically, the principal components of a given set of biometric images characterize the variations of the data [18, 19].
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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.
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.
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).
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.
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