Sentence examples for provided given from inspiring English sources

Analytical expressions for maximum ideal work are provided, given the specific radiative source flux and heat rejection conditions.

A universal equation of Fe0 filters is provided given X as a function of the initial radius R0, the initial volume of Fe0, the initial porosity of the filter and the coefficient of volumetric expansion (O2 availability).

Formal establishment of Muslim chaplaincy in Germany seems particularly surprising, as, until recently, state actors argued that a formalised, area-wide service of Muslim care in prisons could not be provided given that Muslim communities had not yet fulfilled the mandatory legal requirements of the German state-church law.

(Notice that, for real-time traffic, sufficient QoS is provided given a fixed number of radio resources, and its service time is not modified even if more channels are assembled, but may be improved from the final user point of view when more channels are assembled).

Nor is it clear what Moscow would do with a base even if provided, given NATO's naval superiority.

Tillett suggests that the Thespis ballet was almost certainly the music that Sullivan provided, given that it was the only ballet that he wrote for use in an opera, and that three weeks after producing The Gondoliers he is unlikely to have written something original.

Even in this, the Trump Organization left money on the table, taking a million dollars here, five million there, even though the service they provided — giving branding legitimacy to blatantly sketchy projects — was worth far more.

The probability map Keller provided gave, by contrast, a much tighter area to search.

Main flame properties are provided, giving special emphasis to the analysis of pollutant formation.

In general the results provided give clear understanding of community development in Sekyere Central District.

The guidance service provided gives useful information to the passenger during his/her trip.