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The positive and the negative ecological elements divided by built of classification based on extracted land uses from multi-source remote sensing images and land-use degree index.

We constructed an ecological vulnerability evaluation index system using a pressure-state-response (PSR) model and the analytic hierarchy process (AHP) based on an ecological suitability index, landscape pattern index and land resource utilization degree index and comprehensively evaluated the ecological vulnerability condition using principal component analysis (PCA) and an expert scoring method.

The effect of different parameters, such as temperature (30 °C, 40 °C, 50 °C), pressure(10 MPa, 20 MPa, 30 MPa) and particle size (three degree index), on the extraction yield and the content of eugenol in extracts was investigated using three-level orthogonal array design.

Following the pioneering work of Duistermaat and Grünbaum, we call a family {pn(x)}n="0∞ of polynomials bispectral, if the polynomials are simultaneously eigenfunctions of two commutative algebras of operators: one consisting of difference operators acting on the degree index n, and another one of operators acting on the variable x.

Using the degree index, highly-ranked proteins were extracted as shown in Table  3.

The set of degree centralities, which represents the collection of degree indices of N actors in a network, can be summarised by the following equation to measure network degree centralisation[ 47]: (3) C D = ∑ i = 1 N C D n * − C D n i N − 1 N − 2 Where, { C D (n i )} are the degree indices of N actors and C D (n*) is the largest observed value in the degree indices.

Candidate network drivers were identified by ranking nodes based on their degree index and also by comparing to index values determined for closeness, radiality and eccentricity.

Other network centralities used to rank node significance (e.g. closeness, radiality, and eccentricity) supported the ranking determined with the degree index (data not shown).

In view of the fact that the functional importance of proteins might be inferred from their central roles in the network [ 24- 26], we computed the degree index for each protein, one of the most applied indices to evaluate the centrality in the network.

We also have considered type of work done by actors, class of degree, g-index and h-index for education.

More generally, under a preference function of degree α, indexing a node's transition from d to d+1 requires (Oleft (d^{alpha -1}right)) operations, and the array u will have (sum _{v in V} d_{v}^{alpha }) entries.

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