Sentence examples for classification of boundaries from inspiring English sources

Moreover, in [9] and [10] the authors study the spectral structure of birth-death processes and present simple conditions for the classification of boundaries, while in [11] a bilateral birth-death process that is similar to the birth-death process over (mathbb{Z}) with constant rates is considered.

One method of classification of boundaries for the Riverina is the Interim Biogeographic Regionalisation for Australia that defines the bioregion as an area comprising 9704469 ha, with biogeographic subregions covering each of the Lachlan, Murrumbidgee, Murray Fans, Victorian Riverina, Robinvale Plains, and Murray Scroll Belt.

Such ideotypical classification of boundary arrangements makes explicit the institutional space in which system scientists function.

Then we will study the stability of weak solutions according to the classification of boundary value conditions.

After giving an existence result, the main aim of this paper is to give a complete classification of boundary value conditions and to study the corresponding stability of weak solutions.

The propensity for cracking is correlated with the coincident site lattice (CSL) classification of grain boundary geometry, coupled with information about the orientation of the grain boundary plane.

The classification of the boundary fixed points of (fin H mathbb {D,mathbb{D}})) can be performed via the value of the angular derivative begin{aligned} f'(xi =anglelim_{zrightarrowxi}frac{f z -xi}{z-xi}, end{aligned} which belongs to ((0,infty]) due to the celebrated Julia-Carathédory theorem [13].

We characterize [SP] (i.e., 1 is a small perturbation of the operator G) in terms of the classification of the boundary points from the view point of diffusion processes and give a sufficient condition for [IU] (i.e., the associated heat kernel is intrinsically ultracontractive).

This will produce frequency classification of the boundary.

end{aligned} (8)The updated lagranges multipliers are multiplied with respective targets as '1' and '+1' to either side of classification boundaries and final values of (alpha )'s are referred as support vectors.

The effect of sensor distance as an imperative parameter in variation of classification boundaries could be quantified.