In the blocking case no general prediction can be made: although the non-trivial frequency dispersion often exhibits constant phase angle behaviour, the frequency exponent, α, is not uniquely related to the fractal dimension of the interface.
Besides, different current systems are interrelated (Stening 1995); they demonstrate a complicated spatiotemporal evolution (Kamide and Kokubun 1996), resulting in a non-trivial frequency dependence of the corresponding indexes (Takalo et al. 1994; Consolini et al. 1996).
Our data show a non-trivial frequency of homozygous or compound heterozygous alleles in NPHS2 in late onset FSGS-affected individuals.
In addition to the fact that many regions of the cancer genome have a copy number that deviates from two, NGS has highlighted the fact that cancers often do not comprise a single dominant clone, but may have multiple subclones at non-trivial frequencies that comprise part of the entire tumour.
A more sophisticated prior for the diplotypes might help with imputation of missing data, but choice of the correct prior is not obvious as the trivial allele frequency based prior was empirically found to lead to strong overcalling of the major alleles when genotype observations are missing.
'Meals' include meals as well as snacks (other than trivial amounts), and frequency is based on caregiver report.
Most practical variables one could come up with lie somewhere on the spectrum between "fully dependent" (as in a trivial case of frequency and period) and "fully independent".
It also indicated that the gender bias this infers was trivial compared to the frequency and use of the plagiarism material.
Our experience from the pilot-tests is that children's reporting of pain is more spontaneous and immediate compared to adults resulting in a higher frequency of trivial pain being recorded when answering the prevalence questions.
For ERp27, mode 7, the lowest frequency non-trivial normal mode, shows the most striking results; this mode generates a pronounced twist, effectively a counter-rotation of the two domains around the axis joining the two domains.
Some numerical examples indicate that the longitudinal tension variation makes the instability frequency intervals of trivial responses small and the nontrivial response amplitudes large (small) in the summation (principal) resonance.
