Sentence examples similar to any upper bounds to from inspiring English sources

In addition, any upper bound to will result in a lower bound to.

Here, their T corresponds to our K, while the row vectors of H will in general be a superset of D. However, for any T equation (12) gives an upper bound to the preserved number n of desired EM, which is an important parameter in the cMCS-formulation.

So, the score of any size- k' subgraph is actually an upper bound to the optimal score value.

We expect that this serves as an upper bound to the real value of protease activity.

Therefore, the upper bound obtained in the pre-processing step is indeed an upper bound to the score of optimal subgraph.

Application of the upper bound to the global geometry of caustics is also presented.

The upper bounds belong to the type of bounds (p+rsqrt{x^{2}+q^{2}}) ((r>0)).

Therefore the GSCC and GWCC provide lower and upper bounds, respectively, to maximum epidemic size.

Lower and upper bounds have to be adjusted accordingly.

Recalling that only independent constraints will contribute to the total conformational entropy, it is clear that any order provides an upper bound estimate to the true conformational entropy.

The reports were used to benchmark upper bounds on plantation age-classes greater than 15 years.