Sentence examples for sequences of lower from inspiring English sources

The process can be iterated to produce sequences of lower and upper bounds.

Contrary to the case e n (x d n (x) > 0, we will not obtain sequences of lower and upper bounds, but only lower bounds.

In addition, the converging sequences of lower and upper solutions provide explicitly computable estimates of the basin of attractivity of the solution.

Consider that the nonlinear FIDE (1.1 - 1.2 1.1 - 1.2, y) is strictly decreasing and K > 0 in D. Let {s k } and {S k } be, respectively, the sequences of lowithand upper solutions as constructed in Theorem 4.1.

From the robust optimal design, we also reach the following conclusion: under the same interval uncertainty and applying the same min-max design which is robust and optimal, the Q-factor of ILC sequences of lower order ILC is always less than that of higher order ILC in terms of time-weighted norm.

In analyzing our Neutral SELEX sequences, we pinpointed requirements imposed on the selected sequences, namely, the amplification steps favor sequences of lower structural stability, shorter sequences and (more weakly) sequences of some specific nucleotide content.

By applying the min max design, which is robust and optimal, and conducting rigorous analysis, we reach the conclusion that the Q-factor of ILC sequences of lower-order ILC is lower than that of higher-order ILC in terms of the time-weighted norm.

This allows for habit to be involved in initiation or performance of action, the former resonating more strongly with everyday experiences of complex behaviours (Maddux, 1997), and the latter reconnecting with historical treatments of 'habitual behaviour' as chunked automated sequences of lower-level actions (e.g., Graybiel, 2008; Watson, 1913).

In this paper, we propose new iterative relaxation-based heuristics for the 0 1 Mixed Integer Programming problem (0 1 MIP), which generate a sequence of lower and upper bounds.

We have introduced an algorithm to construct a convergent increasing sequence of lower solutions as well as a convergent decreasing sequence of upper solutions.

In particular, there is no reason to think that one can change coordinates to obtain a sequence of lower triangular polynomial maps.