Sentence examples for provided the function from inspiring English sources

The sampling theory says that a function may be determined by its sampled values at some certain points provided the function satisfies some certain conditions.

However with z > max { z 0, 0 }, Theorems 1.1, and are still applicable provided the function p → - 1 - | p | 2 / Z ( x, u, p ) is convex as there exist arbitrarily small g -affine functions.

Now, we are in a position to demonstrate our results as follows: the q-analogue of the natural transform of the first kind is ( N_{q}f ) ( u v ):= bigl( N_{q}f; ( u,v ) bigr):= int_{0}^{infty} frac{1}{u}f ( t )E_{q} biggl( -qfrac{vt}{u} biggr),d_{q}t, (25) provided the function (f ( t ) ) is defined on A and u and v are the transform variables.

Interpolated vexpressed of the five points with piecewise cubic Hermite polynomial provided the function of protein synthesizing speed (vexpressed) with respect to time (t).

Meanwhile, PPIs also provided the function of multiprotein search.

Traditionally, when all DNA sequence data were blanket archived, INSDC archives provided the function of dissemination of all data.

He added that each chip was a technological achievement in its own right and that it would take time for the market to sort out which provided the functions that best served consumer needs.

provide the function of an almost continuous variable transmission.

More importantly, the IPv6 Ready Logo Program does not provide the function of statistics and records.

For standardisation, camb provides the function StandardiseMolecules which utilises Indigo's C API [12].

In Table 2, we provide the function H−1(x;ξ) for some special models.