Sentence examples for consecutive solutions from inspiring English sources

For this purpose, a Euclidean distance metric between consecutive solutions was employed as described in [25].

We now state the second situation one can find when estimating the difference of two consecutive solutions.

The next results provide estimates of the difference of two consecutive solutions of equation (72) with respect to the perturbation parameter.

Set d i contains the Euclidean distance between consecutive solutions in the obtained non-dominated set of solutions; d f and d l are the Euclidean distances between the extreme solutions and the boundary solutions of the obtained non-dominated set; (bar {d}) is the average of all distances d i.

where, d i represents the Euclidean distance between the consecutive solutions of the obtained Pareto solution set, d ¯ Open image in new window is the mean value of all Euclidean distances, and N denotes the number of the final obtained Pareto solutions.

Sorting the solutions E i ∈ P by their cardinality so that i = |E i |, the Occam razor condition is specified in Equation (9) for a given selection threshold ε on the difference of relative errors between consecutive solutions according to the number of endmembers: E * = arg min P f RMSE ( E i + 1 ) f RMSE ( E i ) - f RMSE ( E i ) f RMSE ( E i - 1 ) < ε. (9).

From the overlap statistics between consecutive solution arcs and the independent validation by SLR measurements, the orbit position deviation was below 10 cm before the on-board GNSS receiver got partially operational.

The correctness of the POD process is assessed by, for example, checking convergence and stability of the iterative estimation process (i.e. formal errors of, and correlations between, estimated parameters), the observation fit and overlap analysis between consecutive orbit solutions.

In the sequential exposure, identical triplicate samples were exposed in three consecutive fresh solutions, for 1 hr in each (50 ml each, as for the non-sequential exposure).

Using eigenvalues and nodal data (the lengths of two consecutive zeros of solutions), we reconstruct r − 1 / p ( x ) and its derivatives.

Hybridization was carried out at 42°C overnight, followed by two consecutive washes with solutions of 0.2% SDS, 2×SSC at 42°C for 5 min and 0.2% SSC for 5 min at room temperature.