Relevant variable

The development of finite element methods, since the late 1960s, has made possible the exploration of a wide range of variables relevant to the design of screwed plug closures. Work (126,128—132) on the stress at the toot of the first loaded thread, where most failures occur, and the load distribution along the thread length has led to the conclusions that the load carried by the first three threads decreases considerably as the number of active threads increases to 20, and the load carried by the second thread, is approximately 75% of the load on the first thread, f, and that on the third thread, fj, about 60% of f, that on the first thread, regardless of the number of threads. 

Another feature of SIMCA that is of considerable utility lies in the assistance the technique provides in selecting relevant variables. Information contained in the residuals, ei -, can be used to select variables relevant to the classification objective. If the residuals for a variable are not well predicted by the model, the standard deviation is large. An expression defined as modeling power has been defined to quantitatively express this relationship. The modeling power (MPOW) is defined as ... 

IN addition to covering traditional areas such as mechanism of action, structure-function relationships, and drug disposition and toxicity, this part of the volume reviews drug-specific data that are specifically pertinent to children and adolescents. Age and developmental phase as critical variables relevant to dosing schemes and side effect liabilities are two recurring themes. Clinical mechanics for using these... 

Feature selection, the choice of variables or features (combinations and transformations of original variables) relevant to the problem, is one of the most important aims of chemometrics. Reasons for feature selection are ... 

It must, of course, be said that approaching a problem from the point of view of dimensional analysis also remains useful even if all the variables relevant to the problem are not yet known The timely application of dimensional analysis may often lead to the discovery of forgotten variables or the exclusion of artifacts. 

In the third section an extensive writing on two types of slurry catalytic reactors is proposed Bubble Slurry Column Reactors (BSCR) and Mechanically Stirred Slurry Reactors (MSSR). All the variables relevant in the design and for the scale-up and the scale-down of slurry catalytic reactors are discussed particularly from the point of view of hydrodynamics and mass transfer. Two examples of application are included at the end of the section. 

Definition of variables relevant to the process state variables, such as cells, substrates, and product concentrations, that characterize the system studied and operational variables, that represent particular conditions of the system, that may be initial or fixed conditions such as initial concentrations, feeding rates, etc. ... 

Recent tests provide an excellent example of the control of PCDD/F emissions from MSW combustion facilities.46 Tables 4 and 5 reproduce the results of a multiple regression analysis on operating variables relevant to the combustion system (i.e. before the combustion gases enter the pollution abatement equipment). 

The theories with internal variables provide detailed description of microstructure by introducing additional variables relevant to the microstructure of the system, and enlarge the domain of application of thermodynamics. The theories of internal variables are applied in rheology, dielectric, and magnetic relaxation where the structure of the macromolecules plays a relevant role. In the theories of internal variables, it is usual to propose purely relaxational equations for the internal variables and associate the additional variables with some structure of underlying molecules. 

Macroscopic experiments such as core flooding have been used to obtain relative permeabilities, dispersion coefficients, and other variables relevant to reservoir flow. However, they cannot reveal details of how immiscible phases interact on the pore level. Instead visual experiments have been used to elucidate microscopic flow mechanisms. The latter approach is taken here with experiments using a novel flow cell and state-of-the-art video equipment. The pore level phenomena observed provide a basis for the proper modeling of two-phase flow through porous media at high capillary numbers. 

Chemical equilibrium appears to be the most helpful model concept initially to facilitate identification of key variables relevant in determining water-mineral relations and water-atmosphere relations, thereby establishing the chemical boundaries of aquatic environments. Molar Gibbs free energies (chemical potentials) describe the thermodynamically stable state and characterize the direction and extent of processes approaching equilibrium. Discrepancies between predicted equilibrium composition and the data for the actual system provide valuable insight into those cases in which important chemical reactions have not been identified, in which non-equilibrium conditions prevail, or where analytical data for the system are not sufficiently accurate or specific. Such discrepancies are incentive for research and the improvement of existing models. 

Particularists are pluralists, holding that there is more than one kind-relevant property. Thus properties have variable relevance. A property that makes an entity belong to one kind in a certain scientific context can be irrelevant in another. See my What is a Chemical Property (forthcoming) for a development of this proposal regarding particularism. 

The number of selected variables and their position in spectra vary, depending on y. Variables relevant for modelling yl are not necessarily relevant for modelling other dependent variables. The smaller number of informative variables is observed for y4, the higher one for y3. 

Two of the most important variables relevant to friction on hair are relative humidity (or moisture content of the hair) and the normal load (W) pressing the two surfaces together. It is helpful to consider friction on hair in terms of two conditions for relative humidity and two conditions of load, thus forming a 2 x 2 matrix. 

INSTABILITY CONDITIONS LEADING TO INSTABILITY CALCULABLE VARIABLES RELEVENT TO INSTABILITY... 

Thus, this methodology can be useful in discovering physicochemical variables relevant to olfactory quality in that it strictly relates quantitative psychophysical measures with quantitative psychophysical chemical measures. 

Hoover Rinderle 94 System parameters/ variables Relevance reasoning, concept of focusing abstractions and Grbbner bases Yes Based on Grobner bases, assumed focusing abstractions change the scope not accuracy, limited to polynomial equation formulations... 

Calixarenes are the products of condensation of p-alkyl-phenols and formaldehyde, which is the main route for the synthesis of these compounds. These starting materials are those used for production of bakelite, and indeed calixarenes were first made during a study of the formation of this material [28, 29]. The product isolated was assumed to be exclusively calix[4]arene. Later, after numerous studies, it was found that a mixture of calixarenes is actually formed on reaction of the corresponding ligsons, and the precise course of the reaction depends on many factors [26, 27, 30-33]. The basic variables relevant to the one-flask process in the presence of bases are as follows ... 

SEM statistical frameworks for such studies were examined and first applied to these questions by researchers at the University of Cincinnati (Bornschein et al., 1985 Succop et al., 1998). SEM permits allocation of the variance in a set of interconnected outcomes to those directly affecting the dependent variable and those following indirect pathways. Put differently, the modeling approach stratifies the explanatory variables relevant to lead exposures into exogenous and endogenous variables. Endogenous intermediate variables include dust, soil, and paint Pb, and the principal outcome endogenous variable is PbB. 

Some variables relevant to the macroseopieal approach need to be defined [22,23] before we proceed to formulate the eonservation equations. As mentioned earlier, we deal with groups of bubbles rather than individual bubbles. Consider a volume element of foam at a level z. Let e be the volume fraction of liquid in this element. The volume fraction of gas is then (1—a). If V is the mean bubble volume in this element, the number of bubbles per unit volume (A) in this element is given by ... 

Material Variables - relevant to mould filling and solidification. 

Table 1 Machine and material variables relevant to ceramic injection moulding.

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