Sentence examples for framework of the hierarchical from inspiring English sources

Within the framework of the hierarchical theory of galactic clustering, the double clusters are suggested to represent an intermediate evolutionary stage before the merger of subclusters into a relaxed Coma-type cluster.

Fig. 1 The conceptual framework of the hierarchical structure.

Figure 1 The framework of the hierarchical craniofacial reconstruction.

Likewise, Thorne et al. [31] considered a cost function of the type

Application of systems biology holds tremendous promise because it aims to understand and quantitatively describe biological phenomena within the framework of the hierarchical levels of metabolic pathways and regulatory networks at the different scales of cells, tissue, organs and ultimately whole organisms [ 5, 6].

We built our candidate models and estimated the unknown parameters and the UH and CH effects within the framework of Bayesian hierarchical models using the following prior distributions assigned, α ~ flat, β ~ N (0, ), ~ inverse gamma (0.5, 0.0005), ~ inverse gamma (0.5, 0.0005).

The frameworks of the synthesized hierarchical zirconium phosphates are amorphous with Zr O P bonding, exhibiting remarkably high thermal stability (at least 800 °C), on the basis of the X-ray diffraction (XRD), N2 adsorption, X-ray photoelectron spectroscopy (XPS) analysis, Fourier transform infrared (FT-IR) and 31P nuclear magnetic resonance (NMR) spectra.

As a consequence, within the framework of a hierarchical Bayes analysis the full conditional posterior distribution of each (co variance component is not recognizable, and thus algorithms such as Metropolis-Hastings must be used [ 4].

The different themes are distilled from four studies emanating from the doctoral research (20– 23). Figure 1 presents a conceptual framework illustrating the hierarchical organisation of the different societal levels that influence a child's nutritional status (2, 24– 24).

The multibreed maternal animal model introduced in this study simplifies the problem of estimating (co variance components in the framework of a hierarchical Bayes analysis.

We show our experimental results in Section 3 and give a brief conclusion in Section 4. The framework of our hierarchical model includes scene-level labeling and object-level labeling.