Sentence examples for following modification which from inspiring English sources

Nakajo and Takahashi [4] proposed the following modification which is the so-called CQ method and proved the following strong convergence theorem for a nonexpansive mapping in a Hilbert space.

Combined ISH and IF experiments were performed as described for one-color ISH, with the following modifications: Acetylation, which dramatically reduces detection of the FLAG epitope, was omitted.

Marino and Xu [4] proposed the following modification for strict pseudocontractive mappings in which the sequence { x n } is given by the same formula (1.7) with C n given by C n = { z ∈ C : ∥ y n − z ∥ 2 ≤ ∥ x n − z ∥ 2 + ( 1 − α n ) ( λ − α n ) ∥ x n − T x n ∥ 2 }, (1.11).

By following the modification which was reported in [ 29], a binary ROC curve is extended for the use for multiclasses classifiers.

Next-generation sequencing library preparation was performed according to manufacturer's instructions (Roche Applied Science) with the following modification.

The following modification of φ is useful.

This will certainly favor the following modification.

CAF was analyzed following modification of a literature method.

All the vectors were confirmed by DNA sequencing following modification.

Fortunately, none of our patients had any rejections following modification.

Our invariant reconstruction method follows [ 11] with the following modifications.