Sentence examples for range space from inspiring English sources

We also give an orbital description of the optimal range space in Sobolev's embedding.

Actually, any strictly convex Banach space failing the approximation property serves as the range space.

The proposed algorithm projects sample data to the range space of the total scatter matrix, and then adds one dimension to each sample of the range space and nonlinearly maps it on the surface of the unit super spherical cap.

Noticeably absent are axioms such as symmetry, invariance with respect to 1-1 transfofmathens of the range space, equality to absolute correlation in the joint Gaussian setting.

First a typical subspace-based method is presented to illustrate the extraction of the observability range space using the singular value decomposition (SVD) of a general Hankel matrix.

The key step of the method is to modify the output matrix in such a way that the range space of the observability matrix can be extracted.

The corresponding range spaces F are explicitly described and shown to be optimal.

The subspace angles between the range spaces of two matrices and are recursively defined as follows [23]: (8).

We also looked into the possibility that specific gene pairs might show regular long range spacing across several genomes, for example due to large scale genome folding.

In the future, space missions may return surface materials from Mars, or other objects, but much of astronomy appears otherwise confined to Earth-based observations augmented by observations from orbiting satellites and long-range space probes and supplemented by theory.

Some of Dr. Chang's research was devoted to the development of thermonuclear (fusion) energy, but another aspect of his work has been the design of plasma rocket engines for very long-range space flights.