Sentence examples for reduce to a unique from inspiring English sources

If the space is uniformly convex and the subsets are nonempty, closed and convex, then all the iterations converge to a unique closed limiting finite sequence, which contains the best proximity points of adjacent subsets, and reduce to a unique fixed point if all such subsets intersect.

The problem is reduced to a unique convex optimization problem and its solution in the entropic framework is proportional to the issuer initial exposure.

Thus, the governing equations are reduced to a unique nonlinear integro-differential equation in the transverse displacement of the cable coupled to the ordinary differential equations ruling the response of the moving oscillators in terms of absolute displacements.

In the case that all the subsets A i ⊂ X intersect, the above limit sequence reduces to a unique fixed point allocated within the intersection of all such subsets.

If the space is uniformly convex and the subsets are non-empty, closed and convex, then all the iterates converge to a unique closed limiting finite sequence which contains the best proximity points of adjacent subsets and reduces to a unique fixed point if all such subsets intersect.

When the analysis is complete, some repeated tracks may result, which can be reduced to a unique solution by means of a similarity index (SI).

Additional EFA, based on principal component extraction, was used to determine whether the new dimensions could be reduced to a unique summary score.

> -wrap-foot> The program MICRO-CHECKER version 2.2.3 (van Oosterhout et al. 2004) was used to identify putative errors of three types in our data (DeWoody et al. 2006): stuttering patterns, large allele dropout and null alleles on the adjusted data set (reduced to a unique number of multilocus genotypes).

These solutions reduce to a single unique solution when symmetric solutions are looked for.

In step 3, the FastQ file is reduced to a set of enumerated unique sequences.

The remaining high quality EST set was reduced to a non-redundant set of unique gene transcripts by clustering with phrap [ 66] using the following parameters: mismatch penalty = -5; minimum match = 50; minimum score = 100.