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In order to get an operative expression for the gradient, we need to consider the so-called adjoint stiffness matrix A defined by the following condition: K ˆ ( L ) V ¯ = A ( V ¯ ) L for every L ∈ R m, for every V ¯ ∈ R n. (29).
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The quantitative evaluation revealed that the pre-operative expression of FGFR1OP2/wit3.0 was a minimum and relatively uniform in most subjects (Figure 1C).
The pre-operative and post-operative expressions of tear VEGF are shown in Figure 4.
The pre- and post-operative expressions of tear EGF are shown in Figure 5.
Faced with the choice of running for re-election armed with a principle or with potentially millions more dollars to help offset the current Republican advantage in the super PAC wars, he set aside the principle, prompting quiet cheers from party operatives and expressions of outrage from advocates of tighter campaign finance controls.
However, early studies following the identification of the erythropoietin hypoxically regulated enhancer demonstrated that it was a paradigm for a central mechanism of oxygen-regulated gene expression operative in most, if not all, cell types [ 1].
For intra-operative guidance, high expression prevalences are less important as pre-operative target selection is possible based on a diagnostic (core) biopsy.
Studies from our laboratory and from others have used more extensive microarrays than those used in the two SLE studies described above to characterize the broad gene expression profile operative in the peripheral blood of patients with SLE [ 3- 6].
The IFN-γ/IL-10 ratio after Con-A stimulation in whole blood cells on post-operative day 1, and SOCS-3 gene expression on post-operative day 2 were significantly lower in the remifentanil group than in the fentanyl group.
Environmental co-operatives are a promising expression of this.
Thermochemical and mean reaction rate models are developed, assuming a thermal quenching mechanism to be operative, and the resulting expressions are evaluated with the help of a presumed pdf for product temperature.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com