When τω is the Dixmier trace, the unique exponent d giving rise possibly to a non-trivial functional is called Hausdorff dimension, and the corresponding functional the (d-dimensional) Hausdorff functional.
Despite some recent progress [ 10], marine unicellular cyanobacteria are not trivial in functional studies requiring genetic manipulation.
Cognitive and psychological characteristics of MZ twins seem to be more genetically determined than gyral patterns and this inconsistency might suggest that gyral pattern variations are trivial in functional terms [ 3, 23].
Data can be accumulated from schools and other people and the mind stores this if it has interest in it, be it trivial interest or functional relevance.
This would be a trivial statement if the functional category of each site was known, but in the absence of such prior knowledge, the uniformity of p-values under the null model is less obvious.
We reveal a tradeoff of the interactions between internal and external influences, which offers a theoretical justification for the efficient composition of complex processes out of non-trivial elementary processes or functional modes.
SUPFAM+ database is a comprehensive database of non-trivial evolutionary relationships between functional families derived using their structural information [ 24].
Since both of these systems are genetically well characterized some overall conclusions about the fundamentals of in vivo prion propagation may well be able to be reached in future work, though such work is prone to false negative results as there can be many trivial reasons for lack of functional complementation when working in such evolutionarily distant systems.
Which means that the Twitter timeline has become less functional, and more trivial.
A mapping (rho:{mathbb{R}}rightarrow[0,infty]) defined by (rho(x)=sqrt{vert xvert }) is a trivial example of a modular functional.
In other words, the trivial solution of a stochastic functional differential system is pth moment exponentially stable and the pth moment Lyapunov exponent is not greater than −ρ.
