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The RBM optimization approach prioritizes functions based on the potential risk of a given functional failure.
In this section, we prove the Fréchet differentiability of a given functional.
It is often used to construct a solution of a given functional equation and is seen to be a powerful tool for studying the stability of many functional equations.
Let H be an ordered real Hilbert space with an ordering given by a closed cone P and suppose that the gradient Φ ′ : H → H of a given functional Φ ∈ C 1 ( H, R ) has the expression Φ ′ = I − A. Obviously, the critical points of the functional Φ are the fixed points of the operator A, and vice versa.
One-sided Fisher's exact test was used to determine the p value for the enrichment of a given functional category.
While the assembled data allows for more accurate gene predictions, the parameter of interest is the number of independent clones encoding homologs of a given functional group.
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This can be applied to retrieval of all structures for a given functional class, e.g. all odorant molecules, in order to do primary research in a particular domain, e.g. smell perception.
To avoid this problem, we may identify a particular coding region in nucleotide sequences that corresponds to a given functional domain of an enzyme such as lipase.
Additionally, some special habitats might be ideal to grow strains of engineered organism capable of performing a given functional task and unable to survive outside their restricted environment.
We provide polynomial algorithms for the recognition of whether a given functional dependency holds in a given Horn theory, as well as polynomial algorithms for the generation of some representative sets of functional dependencies.
The setting "Hypergeometric test" was chosen to calculate the probability of observing an equal or greater number of genes in a given functional category than in the test set.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com