Sum index

Still a more general nested summation symbol can be defined and written as E(k=r,s,d), where the vector d contains all the arbitrary increments associated to the progress of each nested sum index. 

Another molecular descriptor is the PRS index (or Product of Row Sums index), defined as the product of the vertex distance degrees a, ... 

In the RPF method (eqn (1)), the user must identify the constraints of the application of a set of RPFs. For example, the health effect, dose range of component doses, route(s) of exposure, and dura-tion(s) of exposure for which the RPFs can be applied must be specified (e.g., a set of RPFs may be constrained to oral exposures and not be used for exposures to the same mixture through the inhalation route). To apply the method, an RPF is estimated for each mixture component the RPF estimates the toxicity of the component relative to that of the IC. RPFs commonly are estimated from a ratio of equally toxic doses of the individual dose-response functions for the component and the IC. For example, the quotient of the effective dose at which ten percent of a test population exhibits an effect (EDio) of the IC and the component could serve as a value for the component s RPF obviously, the RPF for the IC equals 1. The index chemical equivalent dose of an individual component is the product of the component dose and the RPF of the component. These equivalent doses are summed across all components. The risk posed by the mixture is estimated by comparing the summed index chemical equivalent doses of the mixture to the dose-response function of the IC ... 

Kirchhoflf sum index = fllD index resistance matrix... 

The molecular index based on the vertex-distance/detour matrix is called the Wiener-sum index (Randid, 1994b) ... 

The molecular index based on the resistance-distance/vertex-distance matrix is called the Kirchhoff-sum index (Babic et al 2002). Matrices D/Q and QAD have been used to study the graph cyclicity (Klein and Ivanciuc, 2002) ... 

Germany German children, three cities, age 6 years (384) PbB mean, 6 years 4.3 rrg/dl (95th percentile, 8.9 rrg/dl) German WISC subtests. Vocabulary, Block Design and Summed Index. Adjusted vocabulary and summed index scores significantly inversely linked with PbB Walkowiak etal. (1998)... 

The sum indexed by m in the denominator of Equation 3.7 shall always be understood to run over all vibrational levels of the s electronic state. p(m, T) is nothing more than the probability that the molecule will initially be in the zero-order state The geometric series in the denominator is easily summed to give... 

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