The phrase "applied to the functional" is grammatically correct and can be used in written English.
It can be used in contexts discussing how certain concepts, methods, or principles are relevant or relevantly utilized in functional areas or applications.
Example: "The theories we discussed are best applied to the functional aspects of the project to ensure efficiency."
Alternatives: "relevant to the functional" or "pertinent to the functional".
Similarly, the Second Deformation Lemma can be applied to the functional.
In biomedical applications, ICA has been applied to the functional magnetic resonance imaging (fMRI) data analysis applies ICA.
Empirical results are investigated for possible asymptotic bounds whereafter power addition is applied to the functional dependencies.
PET is the most reliable method to quantify MBF and CFR, and these quantifications can be applied to the functional severity of coronary stenosis.
The inequalities (4.3) and (4.4) follow from [7], while (4.5) and (4.6) are valid via the inequalities (2.8) and (2.1) from [10] applied to the functional D ( u ; f ).
The functional basis is used to derive a functional model of a product in a standard language and the module heuristics are applied to the functional model to identify a modular product architecture.
We observed that this hierarchical relationship of TL1A risk haplotype B and OmpC titers in Jewish CD patients also applies to the functional response, e.g. the immune responses to FcγR signaling in Jewish CD patients.
Thirdly and importantly, this does not only apply to the functional input but also to the axonal output connectivity.
The same comment applies to the functional analysis; i.e., is the functional enrichment of proteins containing S/T clusters different from that corresponding to proteins enriched in disordered regions?
The same principle applies to the functional Arg202Gln MEFV polymorphism (rs224222) where the Gln202 allele occurs in the homozygous state at a disproportionately higher frequency (15%%) in familial Mediterranean fever patients than in normal controls (2.7 %) (Yigit et al. 2012).
This caveat especially applies to the functional characterization of converging activation foci using the BrainMap database, as this database only contains about 21% of the published neuroimaging studies and its content therefore does not constitute a strictly representative sample.
