The phrase "as above given" is not commonly used in modern written English and may sound awkward.
It can be used to refer back to information or details that have been previously mentioned in the text.
Example: "The results of the experiment, as above given, indicate a significant improvement in performance."
Alternatives: "as previously stated" or "as mentioned above".
This can be done in a 'forward' direction (as above; given the network, starting concentrations of enzymes and metabolites, and rate equations one can then predict the fluxes), in an 'inverse' direction (given the fluxes and concentrations one can try to predict the enzyme concentrations and kinetic parameters that would account for them [288 296]) or iteratively, using both kinds of knowledge.
As above, given a real data set containing finite samples, we compute an estimator a ^ (d ) analogous to Equation 5 that has the same expectation (over sampling and drift) as the expectation of a(d) with respect to drift (Equation 6).
Indeed, as above, given another A G module (N, L ˜ ) we may write any morphism ϕ : M → N as a power series T = ∑ r = 0 ∞ T r u r ∈ Hom g r ∗ (M, N ) ⊗ C [ [ u ] ] where T r (m ) = ϕ ([ θ | ⋯ | θ | m ] ).
A power analysis (as above) gives an upper limit of 14%, so any real difference, if it exists, should be smaller than that value.
Finally, the output signal is computed for all probes as above, giving a 2D, 3D or 4D output array.
Another trick that works well for fruit flavors is to add a splash of fruit juice (plus a little grated zest if you have it) — as above, give the extra liquid a chance to boil off if you use this method.
As mentioned above, given the large variation in site sample sizes, the comparisons are drawn across all sites for a pooled estimate.
As noted above, given the fact that the parents who participated in ECSEL were primarily middle/upper middle class, the degree to which our program can be applied to families of lower income levels cannot be definitively determined.
We might even expect such a pattern to emerge: as discussed above, given sufficient time for gene duplication and loss [36], [37], trait genetic architecture should converge as an equalizing mechanism [39].
As indicated above, given the small evidence base, the research agenda is of utmost importance.
Consequently, there were a number of acceptable solutions over this range as mentioned above, given the uncertainty of measurement error.
