Sentence examples for computation and reduction from inspiring English sources

The desired result follows after simple computation and reduction.

A properly selected feature set, not only leads to higher classification accuracy, but also results in a faster computation and reduction in storage capacity.

After all computation and reduction, we obtain U^{(2)}(a,b =frac{b-a}{arctan(b/a,b =frac{b-a}{arctan{2}}{2(b/a -pi/4+frac{b^{2}-a^{2}(a,b/a -pi/4+frac{b^{2}-a^{2}2arctan(b/a -pi/4+frac{b^{2}-a^{2}imple manipulations, can be reduced to the desired forms, thus completing the proof.

end{aligned} The inequality corresponding to Lemma 2.3 is equivalent to (after all computation and reduction) begin{aligned} forall x>1,quad arctan frac{x-1}{x+1}< frac{x-1}{x+1}, end{aligned} which is valid since (arctan z< z) for (z>0).

Direct solvers based on prefix computation and cyclic reduction algorithms exploit the special structure of tridiagonal systems of equations to deliver better parallel performance compared to those designed for more general systems of equations.

Hence, we conclude that accurate energy computation and error reduction represents a major stumbling block along with sampling in the achievement of an ultimate solution to the ab initio protein-folding problem.

The systolic array architecture exploits the intrinsic parallelism of the dynamic programming algorithm for edit distance computation and achieve reductions in computation time of several orders of magnitude comparing with sequential calculation that is characteristic for software solutions.

We use Bézier extraction to accelerate the computation of NURBS and B-spline terms and employ H-matrices to provide accelerated computations and memory reduction for the dense matrices that result from the boundary integral discretization.

As an example of our industrial cooperation we studied frequency domain computations and modal reduction methods for the acoustic field inside a car, as well as the challenges of the resulting linear systems and eigenvalue problems.

First-stage feature computation and data rate reduction play a crucial role in an efficient visual information processing system.

The effects of these parameters on the FAM algorithm are analyzed in[22], which discusses resolution, reliability, and computation reduction.