Sentence examples for contraction kernel from inspiring English sources

When the Hardy space is replaced by the Hilbert space H(k) determined by a Nevanlinna Pick kernel k, such as the Dirichlet kernel or the row contraction kernel on the ball in Cd, the BLH Theorem survives with F an auxiliary Hilbert space and Φ a L F, E) valued function which is inner in the sense that the operator MΦ of multiplication by Φ is a partial isometry.

Partial meet contraction and kernel contraction can both be generalized fairly straight-forwardly to both package and choice variants of multiple contraction.

It turns out that all partial meet contractions on belief bases are kernel contractions, but the converse relationship does not hold, i.e. there are kernel contractions that are not partial meet contractions.

In other words, kernel contraction is a generalization of partial meet contraction.

An operation that removes exactly those elements that are selected for removal by an incision function is called an operation of kernel contraction.

The SBT explicitly takes contraction-based motility as the kernel of nervous system organization and of the ASMO.

Furthermore, a comparison principle and a contraction property are obtained for the constant kernel.

Writing and optimizing distributed-memory kernels for each transposition and contraction is tedious since the number of contractions scales combinatorially with the number of tensor indices.

Registered images were then modulated using the warp field to correct for local expansion or contractions and then smoothed with an isotropic Gaussian kernel (FWHM 2 mm).

An alternative approach to contraction of belief bases has been proposed under the name kernel contraction.

By the principle of contraction mapping, a sufficient condition, dependent on a parameter introduced into Gaussian kernels, is provided to guarantee the uniqueness of the solution.