Sentence examples for any indexed from inspiring English sources

AC1 is then equivalent to the assertion AC2: Any indexed collection of sets has a choice function.

A metric space is called hyperconvex if for any indexed class of closed balls, of which satisfy (3.3). it is necessarily the case that.

CensuScope being highly flexible can be easily modified to use any indexed sequence database or taxonomic classification or mapping algorithm.

First, Lucene calculates similarity scores for any indexed document as long as it contains at least one word from the query.

We validate all three subtypes statistically and show the subtype to which a sample belongs is a significant predictor of overall survival and distant-metastasis free probability.As a consequence of the statistical validation procedure we have a set of centroids which can be applied to any microarray (indexed by UniGene Cluster ID) to classify it to one of the ESR1/ERBB2 subtypes.

It will be convenient to rephrase AC as the assertion where \(\langle M_{ij}: i \in I, j \in J\rangle\) is any doubly indexed family of propositions (or sets).

Hence, a smaller τ maximizes the welfare any individual indexed by i obtains from a unit of labor, a portion ω i of the per capita rents that decreasing returns allow after K and labor are paid their marginal productivity, and income ρ K i drawn from factors that are perfectly elastically supplied, hence immune from tax incidence.

For example, the list of pathways that contain a given gene identified by an Ensembl ID could be retrieved and displayed on the Ensembl web page for that gene or any website indexed by Ensembl identifiers.

Given that standard keywords were used within each search engine, any article indexed by that search engine would have been captured; however, follow up manual searches and review of reference lists might have revealed additional citations.

As a consequence of the statistical validation procedure we have a set of centroids which can be applied to any microarray (indexed by UniGene Cluster ID) to classify it to one of the ESR1/ERBB2 subtypes.

"Any motoring enthusiast or historian who does not possess an indexed set of Automobile Quarterlies is functioning in a wilderness," he said in an e-mail on Wednesday.