When using the MCPC CAZAC waveforms to compute the measurement likelihoods in (11), we can reduce the computational complexity by approximating the above variance expressions.
The comparison of the experimental and theoretical seawater density values revealed that the new empirical model approximates the above referenced seawater density distributions with the maximum relative error better than 0.6%, while the corresponding average error is about 0.1%.
The network was constructed by randomly connecting nodes approximating the above in-degree and out-degree distribution.
Since the cellular response to the low dose stimulation is negligible, in experimental practice one usually approximates the above sum by the cellular response under the high dose stimulation only.
We also show that, given an arbitrary ordinal number α, there exists a scattered compact space K having Cantor-Bendixson height at least α, such that every equivalent norm on C K) can be approximated as above.
It is emphasized that almost all two-dimensional normal-polar annular domains can be described, or closely approximated, by the above-mentioned Gielis formula.
Employing, as usual, the space-scale separation between the rapidly varying, on the lattice-constant scale, u c u v, and the slowly varying envelopes, valid for as long as L, λD ≫ a, the above is approximated by (10).
To make experimental investigation tractable and to allow the comparison between our theoretical and experimental results we proceeded as above and approximated a network of recurrently coupled SCs with a single self-coupled SC.
Interestingly, the Glu1 values in our IDDM patients' values approximated those in the above observational study suggesting that there might be greater difficulty in controlling glycaemia in diabetic patients or that tight glycaemic control is less vigorously pursued or both [ 22].
Significance was tested with a likelihood-ratio test of the full model and the reduced model excluding random dam effects and P values were approximated as described above.
