Sentence examples for alternate expression for from inspiring English sources
Some use it as an alternate expression for "moral status" which is understood to come in degrees.
end{aligned} (4.3 It does not seem possible to compute (Psi _{BS}(H,Y)) explicitly, but it is possible to give an alternate expression for it in terms of the solutions of a non-linear matrix equation similar to the one (3.5) that arises in the context of the Donald relative entropy.
end{aligned}This provides an alternate expression for (D_{BS}(X||Y)) that involves X in a somewhat simpler way that is advantageous for the partial Legendre transform in X: begin{aligned} D_{BS}(X||Y) = mathrm{Tr}[ Y f (Y^{-1/2} X Y^{-1/2}) ] - mathrm{Tr}[X] + mathrm{Tr}[Y] end{aligned} (4.4 where (f(x) = x log x).
Collectively this demonstrates a broad regulatory context provided by contiguous transcriptional macro-regions for the functional organisation and alternate expression of genes across the metabolic switch.
For the determination of the reaction boundary, an alternate expression is derived for the activity factor for the case of reaction dominated by diffusional resistance.
If the rule does match, then I'm going to replace that node in the expression by an alternate expression.
The presence of an EST corresponding to the putative gene provided alternate confirmation of expression for two of these, dril-3rβc and dril-12rβ2.b.
AEU: alternate exon usage DE: Differential expression For the transcripts showing alternate exon usage, RNA processing was a dominant ontology, with nuclear mRNA splicing via the spliceosome being an enriched sub-category.
These distributions are calculated numerically for a range of concentrations, as well as alternate approximate analytic expressions for the dilute limit.
An alternate protocol for expression and purification was used to verify that any difference in activity within independent protein preparations was not an artifact of the purification.
Based on the method of analytical continuation in conjunction with alternating technique, the general expressions for the complex potentials are derived in each medium of a three-phase anisotropic piezoelectric media.
