Weiner index

Weiner index Randic indices Kier and Hall indices Inforanation content Connectivity index Balaban index... 

After establishing a phylogenetic tree, further analysis can be pursued to determine patterns in diversity within and across communities. Phylogenetic diversity (PD) can be determined with the aid of programs like DOTUR (84), and DIVERSITY (85). DOTUR calculates the Shannon-Weiner index, a calculation of diversity based on how predictable the community is, and the Simpson diversity index, a calculation based on both the number of different samples in a community and their proportions in addition to several richness estimators. DIVERSITY calculates PD a diversity index that summates... 

Importantly, it has subsequently been shown that the Weiner index for a molecular graph may have strong correlations with chemical properties [49-51]. Consequently, it is often the objective of synthetic efforts, particularly in drug discovery optimization, to construct compounds with certain properties by synthesizing lead compounds with a particular Weiner index. This strategy is an important example of how computed properties (that correlate predictively with desired properties) can be used to create new compounds that have certain values that is, they occupy certain regions of a chemical descriptor space [44],... 

The strategy of this approach was to develop a set of molecular codes corresponding to the number of self-avoiding paths of each length in a molecule, for use both as a convenient representation in subsequent similarity searches [52-54], and as a quantitative measure of structural complexity. Since the basic calculation method for these codes was again based on counting bonds, it is easy to visualize how these path codes are related to the Weiner index (Fig. 13.1-3). While these initial molecular codes did not address... 

Fig. 2.6 Randic and Weiner index values computed for the data set...

Wave function, 10, 108, 370. See also Quantum mechanics symmetry, 127 WebLab Viewer, 351 Weiner index, 245... 

Figure 4.7 Measurement of crystallinity index from IR spectrum of bone apatite. Reprinted from Journal of Archaeological Science 17, Weiner, S. and Bar-Yosef, O., States of preservation of bones from prehistoric sites in the Near East a survey , pp. 187-96, copyright 1990, with permission from Elsevier.

The estimation of the crystallinity index (Cl) of bone is based on one of the four vibrational modes associated with the apatite phosphate group. In amorphous calcium phosphate, the absorption band at 550-600 cm-1 appears as a single broad peak, whilst in hydroxyapatite it is split into bands of unequal intensity by the apatite crystal field (Sillen and Parkington 1996). Based on the splitting factor introduced by Termine and Posner (1966), Weiner and Bar-Yosef (1990) proposed the use of a crystallinity index to measure the crystallinity of bone mineral. As illustrated in Fig. 4.7, the Cl is estimated by drawing a base line from 750 to 495 cm 1 and measuring the heights of the absorption peaks at 603 cm-1 (measurement a), 565 cm 1 (measurement b) and the distance from the base line to the lowest point between the two peaks (c). Cl is calculated from the formula ... 

Shannon-Weiner-Neumann entropy is used to capture the vulnerability of a nation to supply disruptions due to geopolitical factors. For each nation, we divide entropy by the natural logarithm of the total number of countries it imports from to arrive at an index that ranges between 0 and 1, where higher values indicate greater vulnerability. Specifically, the index is formulated as ... 

WWS94] Wensch J., Weiner R., and Strehmel K. (1994) Stability investigations for index-2 systems. Technical report, Reports on Computer Science and Scientific Computing Universitat Halle, Germany. 

Therefore dW t) is a combined three-dimensional vector of three correlated Brownian or Weiner processes, with a correlation of p. The volatility of each bond and the index is therefore also a three-element vector. 

Khoo, I. C., D. H. Werner, X. Liang, A. Diaz, andB. Weiner. 2006. Nano-sphere dispersed liquid crystals for tunable negative-zero-positive index of refraction in the optical and terahertz regimes. Optics Letts. 31 2592. 

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