Sentence examples for dimension conditions from inspiring English sources

The original TR1DA displays a higher classification accuracy under low dimension conditions; however, for higher dimensions, GTR1DA outperforms TR1DA.

The following modifications of operation of a Multiphor II isoelectric focusing (IEF) system (Amersham Pharmacia Biotech, Upsula, Sweden) were implemented for the first dimension conditions of the 2-D electrophoresis procedure.

Moreover we prove a lower bound of the Ricci curvature is compatible with a reduced Riemannian curvature dimension condition.

where u = 1,..., U. To attain the zero-forcing constraint in (18), Wk,m,umust lie in a null space of H k, m, u ⊥ under the following dimension condition N t ≥ ∑ u = 1 U R u.

Within the Γ2-calculus of Bakry and Ledoux, we define the Ricci tensor induced by a diffusion operator, we deduce precise formulas for its behavior under drift transformation, time change and conformal transformation, and we derive new transformation results for the curvature-dimension conditions of Bakry Émery as well as for those of Lott Sturm Villani.

Besides, this method can automate the generation of unstructured meshes and is suitable for both two and three dimensions conditions.

Although self consistent approximation reduces the dimensionality of the system, for the multi-dimension conditions, it is still hard to solve diffusion equations directly.

Mobile phase A and B were identical with the second-dimension conditions above.

Metabolite-based clustering usually yields a large number of vectors (metabolite candidates) with comparably few dimensions (conditions).

To empirically test this as well as to find the range of d for typical microarray data, we randomly generated a data set with 1000 genes and various dimensions (conditions) using Gaussian distribution.

This so-called reduced curvature-dimension condition CD∗ K,N) has the local-to-global property.