Sentence examples for and thus the complexity from inspiring English sources

An improved graph construction method is designed and applied on graph cuts algorithm to reduce the number of nodes in graph and thus the complexity of global optimization.

Secondly, each field multiplication involves modular reduction with a different irreducible polynomial, and thus the complexity can increase rapidly with the number of supported fields λ.

We show that by limiting the dynamic range of log-likelihood ratio, the required LSD list size can be lowered, and, thus, the complexity of the LSD algorithm is decreased.

The complexity of subgradient updates is polynomial in the dimension of the dual problem, and thus the complexity of the DIS algorithm is polynomial in the number of users K. Dual iteration search with prediction.

Then Theorem 9 provides, in a very easy way without involving arduous computations,the promised asymptotic complexity technique, Theorem 11, to determine the asymptoticcomplexity (upper and lower) bounds, and thus the complexity class, of the running time ofthose algorithms under study.

This is due to the fact that each ((s-1))-facet gives rise to (2^{s}) simplices and thus the complexity of the computation of homology scales exponentially with the dimension of the simplicial complex (O(m^{3})>O [2^{delta}]^{3})), where m is the number of simplices in the simplicial complex, and δ is its dimension.

Since the search space (and thus the program complexity) increases exponentially with trace length, we decided to break the trace into small segments inspired on [12].

Some estimate must be made and thus the increased complexity at the encoder becomes a trade-off point for R-D performance.

Unlike the conventional methods that use two stages for separating the features: data segmentation and feature separation in each segment, the proposed algorithm adopts a new structure and thus the computation complexity is much reduced.

Furthermore, it must be stressed that Schellekens provided the asymptotic lower bound, and thus the asymptotic complexity class, of the running time of Mergesort (average case behavior) in [46].

These operators reduce the size of the resulting polynomial and thus the computational complexity dramatically.