Sentence examples for and hence the complexity from inspiring English sources

There are many change alternatives and hence the complexity of the agent's space of potential configurations is daunting.

Due to the presence of several equilibrium points, randomness and hence the complexity of the state time series for these multi-wing chaotic systems is much higher than that of the conventional double-wing chaotic attractors.

DWT SVD watermarking [15] repeats the watermark embedding process and hence the complexity increases.

The computational complexity of the feed-forward filter coefficients requires matrix inversion of size, and hence the complexity is.

However, this matrix is of dimension, and hence the complexity of this approach will quickly become infeasible for practical realizations.

With these bounds, most hypothesis tests can be pruned, and hence, the complexity of exhausting is reduced drastically.

Due to decreasing size of ICs and hence, the increasing complexity of the routing resource constraints, routing has been a big challenge in electronic design automation field.

This increases the size of the state space and hence the computational complexity.

Except for the significantly reduced reconstruction errors, our method may also require a noticeably shortened iteration time compared with the existing methods, and hence, the time complexity may be reduced to some extent in the realistic channel estimation applications.

The proof of Lemma 2 is provided in Appendix 2. After the problem transformation, the total number of variables decreases from (K+1)(to1) to 2(T+1), and hence, the computational complexity is dramatically reduced when K is large.

The neighborhood is defined by some tree edit operation, and hence, the time complexity of the local search problem depends on the tree edit operation used.