Dichotomous

We will assume in this article that the system is time-reversible, so T(p) = T —p). Dichotomic Hamiltonians arise from elementary particle models, the simplest nontrivial class of conservative systems. Moreover, even seemingly more complex systems can usually be written in the dichotomic form through change of variables or introduction of additional degrees of freedom. 

B. W. Loo, J. M. JaMevic, and F. S. Goulding, "Dichotomous Virtual Impactors for Large Scale Monitoring of Airborne Particulate Matter," in B. Y. H. Liu, ed., Eine Particles, Aerosol Generation, Measurement, Sampling and Analysis, Academic Press, Inc., New York, 1976, pp. 311—350. 

Insomnia complaints are common in the general population and can be dichotomized into problems of delayed sleep onset and those related to sleep maintenance. Increasing attention is being focused on the adverse daytime effects of insomnia. Sleep disturbances become more common with increased age and are more prevalent in women. Sleep complaints arise from very diverse etiologies which prominently include concomitant primary... 

The relationship between flow and tubercle growth is dichotomous. Low flow may stimulate growth, but zero flow (so that water contacting... 

Because a filter sample includes particles both larger and smaller than those retained in the human respiratory system (see Chapter 7, Section III), other types of samplers are used which allow measurement of the size ranges of particles retained in the respiratory system. Some of these are called dichotomous samplers because they allow separate measurement of the respirable and nonrespirable fractions of the total. Size-selective samplers rely on impactors, miniature cyclones, and other means. The United States has selected the size fraction below an aerodynamic diameter of 10 /xm (PMiq) for compliance with the air quality standard for airborne particulate matter. 

Dichotomous and fine particle samplers (several fundamentally different types)... 

The particles most likely to cause adverse health effects are the fine particulates, in particular, particles smaller than 10 p and 2.5 mm in aerodynamic diameter, respectively. They are sampled using (a) a high-volume sampler with a size-selective inlet using a quartz filter or (b) a dichotomous sampler that operates at a slower flow rate, separating on a Teflon filter particles smaller than 2.5 mm and sizes between 2.5 mm and 10 mm. No generally accepted conversion method exists between TSP and PM,o, which may constitute between 40% and 70% of TSP. In 1987, the USEPA switched its air quality standards from TSP to PMk,. PM,q standards have also been adopted in, for example, Brazil, Japan, and the Philippines. In light of the emerging evidence on the health impacts of fine particulates, the USEPA has proposed that U.S. ambient standards for airborne particulates be defined in terms of fine particulate matter. 

The first tree induction algorithm is called ID3 (Iterative Dichotomizer version 3) and was developed by Quinlan [38]. Subsequent improved versions of ID3 are C4.5 and C5. In our study, we used MC4 decision tree algorithm which is available in the MLC++ package [39]. MC4 and C4.5 use the same algorithm with different default parameter settings. 

Figure 11 Root systems as simulated by the computer program Simroot. The systems display herriitgbone architecture (a) dichotomous architecture (b) and bean root architecture (c). The bean root system (c) is shown in

Figure 4 (a) High-volume dichotomous (virtual) impactor and (b) liquid-filled impinger... 

In the present study the bronchial morphometry of Yeh and Schum (1980) is utilized instead of the Weibel model. This is a more accurate description of the bronchial airway lengths, diameters and branching pattern. It does not assume dichotomous branching and therefore does not suffer from the problem of the artificially high surface area leading to low alpha dose in the more distal airways common to other models of the human airways. 

It is well known that enhanced deposition in the first few airways occurs due to the turbulence produced. Turbulent diffusion is accounted for by using factors (ratio of observed deposition to calculated diffusion deposition) to correct the diffusion deposition. These had formerly been measured by Martin and Jacobi (1972) in a dichotomous plastic model of the upper airways. The data used here are from measurements performed by Cohen (1986) using hollow casts of the upper bronchial tree which included a larynx. This cast was tested using cyclic flow with deposition measured for 0.03, 0.15 and 0.20 urn diameter particles. Her turbulent diffusion factors are used in the calculation here (14 for generation 0, and 2 for generations 1 to 6). 

More subtle arguments have been invoked to rationalize the dichotomous behavior of so-called second-generation Mn-salen catalysts of type 7 toward unfunctionalized and nucleophilic olefins. For example, higher yields and ee s are obtained with the (i ,S)-complex for the epoxidation of indene (8). However, JV-toluenesulfonyl-l,2,3,4-tetrahydropyridine (10) gave better results using the (R,/ -configuration. An analysis of the transition-state enthalpy and entropy terms indicates that the selectivity in the former reaction is enthalpy driven, while the latter result reflects a combination of enthalpy and entropy factors <00TL7053>. 

Let us look at the typical case in more detail. Suppose we have k dichotomous indicators. The basic strategy of SSMAXCOV is to take a pair (any pair) of indicators as output variables and combine the remaining (k - 2) indicators in one scale. In other words, the input variable is the sum of scores on all indicators, with the exception of the two that were taken as output variables. Then, covariances of the output indicators are computed and plotted for each... 

Overall we recommend using LCA in conjunction with taxometric analyses. In most cases, LCA provides an excellent test of external consistency for CCK procedures. In order to apply both approaches to the same data, an investigator could do taxometric analyses with continuous indicators and then break them down to form a pool of ordinal or dichotomous taxon markers. 

Option one is to consider each criterion an indicator, score it either dichotomously or using a short scale—for example, the Structured Interview... 

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