Sentence examples for needed in the analysis of from inspiring English sources

In this section, we provide and develop some useful properties of the finite kernel function and the corresponding barrier function that are needed in the analysis of the algorithm.

As efforts move the process closer to commercial demonstration, it is apparent that a high level of confidence is needed in the analysis of the partitioning of fresh wood into its extracted wood and liquid extract fractions.

Last but not least, NetCutter is equipped with a number of algorithms for the identification of network communities, vertex ranking, and convenience tools needed in the analysis of co-occurrence networks, or any undirected graph.

The users can specify the number of SNPs needed in the analysis.

In what follows, we give some key properties of the relaxed operator T α = α I + ( 1 − α ) T which will be needed in the convergence analysis of our algorithms.

This heuristic algorithm was incorporated into the workflow that was used to design the siRNAs that were needed in the first-round analysis of our strategy.

The following results will be needed in convergence analysis of the proposed algorithm.

Rigorous analytical and interpretive analysis is needed in the field of brain energetics.

In seismic analysis, density is needed in the determination of the elastic impedance of an interface and in the improvement of the accuracy of synthetic seismograms.

For forensic examinations in these environments, knowledge and skills are needed in the field of hardware, networks and data analysis.

In particular there is no reason to suppose that NF refutes the weak forms of AC needed in the study of the reals and complexes ("Analysis").