Sentence examples for o provided that from inspiring English sources

As a consequence, the algorithm (mathbf {CFD}(mathbb {BS}_{G}(o))) returns a correct status of o, provided that (mathbb {BS}_{G}(o)) contains at most t+1 faulty vertices, and o is linked to a normal neighbor.

Considering ν(o) provides that difference (e.g., in percentage), this value constraint κ ν enforces that ν(o)<κ ν at any given time.

The next year, Pearson put to the House of Commons a motion that "the government be authorized to take such steps as may be necessary to provide that 'O Canada' shall be the National Anthem of Canada while 'God Save the Queen' shall be the Royal Anthem of Canada," of which parliament approved.

Provided that k= O log n), the running time of this algorithm is super-polynomial with n, and thus is not practical.

Following the standard notation, we will write f ∈ O ( g ) provided that f, g ∈ RT and g is an asymptotic upper bound off.

In order to approximate, according to the Schellekens approach, the running time ofcomputing of the algorithms under consideration it remains to give an asymptotic upperbound of f T. But Schellekens proved that f T ∈ O ( g ) provided that g ∈ C b, c and that Φ T ( g ) ≤ g.

Then S and T have property Q provided that O ( T, S, ∞ ) for every f ∈ F ( S n ) ∩ F ( T n ).

It has also been shown that random matrices with Gaussian or sub-Gaussian entries meet the RIP with high probability provided that m=O(s log(n)) [5, 57].

Although we assume that the reader is familiar with the basic notions from asymptotic complexity analysis (for a full treatment we refer the reader to [16]), let us recall that g is an asymptotic upper bound of f, denoted by (fin mathcal{O}(g)), provided that there exist (n_{0}inmathbb{N}) and (cinmathbb{R}_{0}^) such that (f(n leq cg(n)) for all (ninmathbb{N}) with (ngeq n_{0}).

The bulk_extractor is a stream-based forensic tool, meaning that it scans the entire media from beginning to end without seeking the disk head, and is fully parallelized, allowing it to work at the maximum I/O capabilities of the underlying hardware (provided that the system has sufficient CPU resources).

Linux users can use Mencoder (a part of mplayer) to make animations with the command along the lines of "mencoder 'mf://*.jpg' -mf type=jpg:fps=4 -ovc copy -oac copy -o output.avi" provided that it run in a folder were the the images are in an ascending order.