Analytes defined

TB Martonen, I Katz, K Fults, AJ Hickey. Use of analytically defined estimates of aerosol respirable fraction to predict lower lung deposition. Pharm Res 9 1634-1639, 1992. 

Producing a reasonably good accuracy for analytically defined surfaces, this scheme of calculation is very inaccurate when the field is specified by the discrete set of values (the lattice scalar field). The surface in this case is located between the lattice sites of different signs. The first, second, and mixed derivatives can be evaluated numerically by using some finite difference schemes, which normally results in poor accuracy for discrete lattices. In addition, the triangulation of the surface is necessary in order to compute the integral in Eq. (8) or calculate the total surface area S. That makes this method very inefficient on a lattice in comparison to the other methods. 

If we now repeat compression along the critical isotherm 7, we reach (at the critical point) a flexus condition, analytically defined by the partial derivatives... 

Define clearly what is to be measured (e.g. total analyte or extractable analyte defined by a specific method etc)... 

If the mixture of concern consists of a set of toxicologically well-characterized fractions, the mixture may be fractionated and its risk can be assessed based on the risks of the individual fractions for example, the hazard quotients for the individual fractions can be combined using a HI calculation that accounts for the combined action of the fractions. An example involves the fractionation of total petroleum hydrocarbons (TPHs) at contaminated sites for use in risk assessment. In this approach the TPH at a site is divided into analytically defined fractions, and then oral and inhalation toxicity values are assigned to these fractions for use in risk assessment (MADEP 2002,2003). A single surrogate chemical from each fraction is used to represent the risk for the entire fraction. The method does not totally account for all of the unidentified material, but does reflect differences in chemical composition across various sites and provides a reasonable method for calculating potential health risks. 

The mathematicians have concentrated their interest on the transformed Hamiltonian for a single particle in one dimension, and they have solved the problem of the domain changes by the introduction of the Nelson class (16), which contains all functions on which the operator v(9) = e,9A, given by Eq. (3.17), is analytically defined for all complex 9. Even if a great deal of strict mathematical work is now devoted to the problem of a single particle in three dimensions, it will probably take a fair amount of time until all the fundamental theorems have been strictly proved for IV-electron systems. 

Resolution, Measures the ability of a chromatographic column to separate two analytes defined as the difference between the retention times for the two peaks divided by their average widths. 

The Optical purity of an analyte defined in terms of its enantiomeric excess (e.e.), is calculated from the following expression where Ar and Aj represent the areas under the two peaks corresponding to the two enantiomers. 

Baudo R (1981) Is analytically defined chemical spe-elation the answer we need to understand trace element transfer along a trophic chain In Trace element speciation in surface waters and its ecological implications, pp.275-290. Proceedings of the NATO-AIOL Workshop, Genova-Nervi, Plenum Publishing Corporation, New York. 

Components of mechanistic biogeochemical models of aquatic systems are defined according to their function and not according to analytical procedures. To make model results comparable with measured data, it is important to link model components to analytically defined components. Due to the simplified representation of natural systems in mechanistic models and imperfect analytical procedures, this leads... 

By following this recipe, a family of three-dimensional systems with analytically defined right-hand side has been explicitly designed which realizes the blue sky catastrophe [53]. This family is as follows... 

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