General Distribution

This probability distribution can be used to represent the entire bathtub hazard rate curve presented in Chapter 3. The probability density function of the distribution is defined by [13,14] 

X and a = distribution scale parameters 9 and b = distribution shape parameters 

By substituting Equation (2.53) into Equation (2.22), we obtain the following cumulative distribution function  

The following probability distributions are the special cases of this distribution  

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Consider the generalized distribution Pq(r ) to be generated in the Gibbs-Boltzmann canonical ensemble (9 = 1) by an effective potential W,(r /3) which is defined... 

Table 7 gives a general distribution of HDPE appHcations in the three largest markets the United States, Europe, and Japan. 

Clear solutions of antiperspHants have been on the market for about 100 years. Cream and lotion types are o/w emulsions commonly formulated using nonionic emulsifiers to avoid aluminum salt formation, especially by carboxyHc acids. Cream antiperspHants are generally distributed in jars, whereas lotions are dispensed from roU-on types of containers. 

Surface water enrichment is the result of aeolian and fluvial inputs, which are thought to be the most important sources of Th to the ocean. Thorinm-232 has been proposed as a link between the radiogenic thorium isotopes and trace metals and anthropogenic pollutants. " While the pathways are very different for the radiogenic thorium isotopes, Th is delivered to the ocean in a fashion similar to many pollutants and trace metals. For example, Guo et found Th distributions in the Gulf of Mexico and off Cape Hatteras in the North Atlantic Ocean agreed well with the general distribution pattern of aluminum. 

Equation (1) merely states that the general distribution law applies to the system and that the adsorption isotherm is linear. At the concentrations normally employed in liquid chromatographic separations this will be true. 

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A more general distribution can be expressed by a series of so-called moments, which are defined by... 

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