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As we have seen in [11] an efficient way of studying the dynamics of (1) is considering the dynamics of 49 special cases of (1) which are obtained when one or more coefficients are set to zero.
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While more coefficients were statistically significant in results from analysing the 4,820 cases, these results do not conflict with conclusions we made with regard to comparison between rural and non-rural areas according to our results from analysing the 1,575 cases.
The optimum value increases with increasing because more DCT coefficients are needed to model the phase fluctuations when gets larger.
The MSE floor decreases with increasing (because the modeling error is reduced when more DCT coefficients are taken into account), whereas the additive noise contribution to the MSE increases with (because parameters need to be estimated).
With increasing penalty, more regression coefficients are estimated to be zero, i.e. less independent variables are included in the model.
We would like to stress that improved flux measurements and more accurate Einstein coefficients are required to draw solid conclusions.
Using this statistical feature, [19] proposed only embedding in +1 and −1 and set embedding order such that the blocks with more zero AC coefficients are embedded first.
The r's based on three or more correlation coefficients were interpreted as follows.
By choosing bases that are more correlated to the input signal, it is possible to obtain spectral representations in which relevant coefficients are more concentrated.
51 One of the main advantages of using an MMNL model is that one or more coefficients can be treated as random and allows the researcher to test if there is significant heterogeneity around average parameter estimates.
These values of strain coefficients are more than 3 times the values of parallel to the 111 crystallographic direction (~200 pm/V), as calculated from the coefficients of single crystalline piezoelectric tensor of BaTiO312 or reported from macroscopic measurements29.
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