Sentence examples for radius bound from inspiring English sources

On the basis of the relationship between the Gelfand formula and the spectral radius, Song et al. [10] gave the Z-spectral radius bound for nonnegative tensors.

Actually, there are already some results for the bound of the nonnegative tensors' spectral radius, for example, Yang and Yang extended the classical spectral radius bound for nonnegative matrices to nonnegative tensors in [9] and obtained the following result.

Another question concerns how to determine parameters in the diversified (mathsf {GPAR}) mining problem, namely support bound (sigma ) and radius bound d (Sect. 5.3).

For SVMs with L2 soft-margin formulation, the radius margin bound gives a very good prediction of optimal hyperparameter values.

Hence, though sodium and silver were of the same ionic radius, when bound by carboxylate groups of the same structure, their observed bonding types were different.

The binding pocket was defined as all the atoms within an 8-Å radius around the bound ligand, SR12813.

The two-impulse orbital rendezvous problem with a terminal tangent burn between coplanar elliptical orbits is studied by considering a lower bound on perigee radius and an upper bound on apogee radius for the transfer orbit.

It is shown that Force-Induced-Dimple (FID), initial geometric imperfection leads to a far worse deterioration of buckling strength (for up to four times) than currently used modulated eigenshape(s) or lower bound increased-radius shape deviations from perfect geometry.

This equation can be extended to relate the diffusion coefficient to the molecular weight and density of the molecule of interest: MW = NρV = Nρ 4 3 π r 3 and r = 3 MW 4 πNρ 1 3. where N is Avogadro's number, V is the molar volume of the solute, r is the hydrodynamic radius, which considers the solvent bound to the solute, and ρ is the density of the solute.

For the spectral radius of a nonnegative tensor, Yang and Yang [21] provided a lower bound and an upper bound for the spectral radius of a nonnegative tensor.

We further show that, in the linearized regime, this analytically derived lower bound on the radius of the confining mirror agrees with direct numerical computations of the superradiant instability spectrum which characterizes the spinning black-hole-mirror bomb.