Sentence examples for that manifold from inspiring English sources

These encouraging results demonstrated that manifold diffusion is a key means to enable accurate computer-aided diagnosis of renal lesions.

Compared with the linear structure, the manifold ways can detect the underlying nonlinear structure, which preserves local information so that manifold ways is more robust.

Experimental results on the validation dataset with 167 patients revealed that manifold diffusion significantly outperformed conventional shape features (p<1e−3) and resulted in 95% sensitivity with 15 false positives per patient for detecting exophytic renal lesions.

The unique theoretical contribution of this paper is that we devise new mathematical tools so that manifold splines can now be constructed with only one singular point, reaching their theoretic lower bound of singularity for real-world applications.

It may ultimately turn out, that manifold mechanisms exist and only some mechanisms will be operative in a single cell system [ 68].

However, from our results on the terrein biosynthesis gene cluster, we propose that manifold regulation of SM gene clusters and the interplay of different global transcriptional activators might depict a general mechanism to regulate the flexibility of gene cluster activation in fungi.

To the astonishment of most mathematicians, it turned out that manifolds of the fourth, fifth, and higher dimensions were more tractable than those of the third dimension.

All of this suggests that manifolds may be viable models to use in CS recovery; see [18] for additional discussion on the topic of using manifold models to recover individual signals.

A notion of "parallelism" is not something that a manifold would possess merely by virtue of being a smooth manifold; additional structure has to be introduced which resides on the manifold and which permits the notion of infinitesimal parallelism.

The problems with that were manifold.

"Many" means lots of things whereas "multiple" used to mean something that is manifold or in more than one state.