Sentence examples for in the case of functional from inspiring English sources

Let X be a real normed space and Y be a real Banach space in the case of functional inequalities, as well as let X and Y be real linear spaces in the case of functional equations.

Gruber [15] remarked that Ulam's problem is of particular interest in probability theory and in the case of functional equations of different types.

And, in the case of functional modules, both methods – HPERP and HN – can be considered similar in their efficiency and effectiveness.

But Davidson's saving move appears not to be available for the functionalist, for in the case of functional states and properties, no such independent descriptions are available, as the nature of a functional property is exhausted by its place in the causal network.

In the case of functional connectivity analyses performed on task-evoked data, this procedure is often facilitated by the fact that the investigator's choice is guided by either the spatial locations that show the largest activations and/or deactivations in response to the given task within a certain brain area or, alternatively, by information obtained from previous studies.

In the case of functional oesophageal stenosis, one dilatation was allowed.

Thus, the ensemble automatically provides feature selection, and also, in the case of multiple functional (and non-functional) covariates, variable selection.

In the case of Lyapunov Krasovskii functional method, it requires that a candidate Lyapunov Krasovskii functional is decreasing on the whole state space.

In the case of OsABC1-2, functional studies have used RNAi to repress the expression of OsABC1-2 tovercomeme the functional redundancy.

The latter aspect is of particular importance when designing multi-target compounds directed to targets belonging to the same family (e.g., multi-kinases inhibitors), but also in the case of shared functional domains and/or binding sites across target families [32].

As in the case of GHP, functional deficiency was not observed in either GHH or GPP, in which the GFP insert is flanked by HR, indicating that the GFP structure itself did not inflict any damage on the C-terminus.