In 2001, Hawks [13] discussed substances suspected of having been used for the pesticidal treatment of artefacts (see Table 1, where chemicals are listed under trivial and trade names).
The invariant method of fundamental solutions keeps a very basic natural property the so-called invariance property under trivial coordinate changes in the problem description, e.g. dilations and/or contractions.
Figure 3 and Table 2 quantify the fragility of this conclusion, by generating estimates using the same framework under trivial alternative scenarios in which different numbers of subjects (or mixtures) were used, or different choices of statistical threshold were used for assessing discriminability.
ALLD mutants invade a DISC population under a trivial condition b/ c < 1.
For instance, a total of seven coumarins known under the trivial names ayapanin (or herniarin), ayapin, daphnetin, daphnetin dimethyl ether, daphnetin-7-methyl ether, hydrangetin, and umbelliferone have been characterized from this plant.
In this study, to experimentally validate FINDSITEcomb under non-trivial conditions, i.e. there are no close homologous templates to the target, we have excluded all templates having sequence identity > 30% to given target in the PDB holo structures, DrugBank targets and ChEMBL targets.
Although implicit ADI solvers for the Navier Stokes equations with nominal second-order of temporal accuracy have been proposed in the past, the algorithms presented in this paper are the first ADI-based Navier Stokes solvers for which second-order or better accuracy has been verified in practice under non-trivial (non-periodic) boundary conditions.
An alternative explanation for the observed discrepancy between exons and introns is that synonymous exonic substitutions in mammals may be under non-trivial selective pressures, as has been suggested by some recent studies[ 8, 9].
Lighthearted, even trivial, under the relaxed (not to say sozzled) style of Jack de Manio, the programme didn't really hit its stride – or start acquiring its current gravitas – until the late, great Brian Redhead joined John Timpson at the microphone in 1975.
Equilibria are identified, and using linear stability analysis, all transitions are determined under which both trivial and non-trivial fixed points lose stability.
In the present paper, we study via Morse theory the case that all critical groups of Φ at 0 are trivial under the condition ( F 0 ).
