Sentence examples for using the bounds of from inspiring English sources

Additionally, as discussed for the particular case of modified Bessel functions [1], the bounds are useful for accelerating the convergence of certain continued fraction representations which are used in numerical algorithms; for instance, the algorithms in [6, 7] could be improved by using the bounds of Sections 4.1.2 and 4.1.3 for accelerating the convergence.

Using the bounds of (X t)) and (overline{Y}(t)), we have mathbb{E} Bigl[ sup_{0 le t le T} biglvert e ( t ) bigrvert ^{2p} Bigr] le 2^{2p-1}mathbb{E} Bigl[ sup _{0 le t le T} bigl( biglvert X t) bigrvert ^{2p} + biglvert overline{Y}(t) bigrvert ^{2p} bigr) Bigr] le 2^{2p}A_{1}.

We estimate the center points and ranges of candidate measurements using the bounds of adjacent data measurements and the estimated bounds on component concentration trajectories generated by the EMV algorithm.

Targeting these 1.02 million homes most in need and using the bounds on costs of $1,200 $10,800 per housing unit, the estimated cost lies between $1.2 billion and $11.0 billion.

By using the bounds on the eigenvalues of the normalized Laplacian matrix computed above, bounds (12) and (13) follow.

The examples of frames are shown in Figure 4. Since the size of the moving object is small, we use the bounding boxes of the moving objects as the ground truth.

26 This technique can be used within the bounds of currently used histopathologic protocols and has the advantage of being applicable to archival paraffin-embedded tissue.

We simulated transcriptional pauses using the lower bounds of kf1 and kb1 and obtained a correction factor of ∼7 for the mutant Pol II.

By considering an appropriate Lyapunov-Krasovskii functional (LKF), and using the deviation bounds of asynchronous normalized membership functions, we propose a new delay-dependent sufficient conditions formulated in LMI constraints which can be easily solved using convex optimization tools.

This filtering, using the lower bounds of the distance, is referred to herein as 'similarity filtering'.

We thus give an approximation by using the confidence bounds of.