Definition of Variables

Figure 2.3 Definition of variables for concentric cylinder viscometers (a) the rotating cylinder and (b) the coaxial cylinders.

Figure 3.6 Definition of variables to define the shear deformation of an elastic body.

Figure 10.11 Definition of variables required to describe interference of light scattered from points O and P.

Figure 12. Model graphs for a kinetic analysis of an equilibrium polymerization (definition of variables of Equation 11)...

Let us begin our study of the problem by reformulating it in the continuous representation, with definitions of variables that have enjoyed some popularity ... 

The function that we obtain is the Voigt function encountered in Section III.C of Chapter 1. With definition of variables and scaling appropriate to the case of combined Doppler, natural, and collision broadening, the Voigt function appears as the probability per unit frequency of observing light at a frequency v ... 

FIG. 7.11 Schematic representation of a surface viscometer (a) a monolayer is pushed through a narrow channel and (b) definition of variables for analysis. 

FIG. 10.1 Potential energy curves for the interaction of two colloidal particles, each of radius Rs. Negative values correspond to attraction and positive values to repulsion (a) definition of variables (b) repulsion less than attraction in magnitude and/or range (c) repulsion and attraction comparable in magnitude and range and (d) attraction less than repulsion. 

Figure H1.1.3 Empirical models commonly used for fitting rheogram data. They all rely on the fact that the data were acquired in a linear fashion. See text for definition of variables.

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. ... 

Figure 1. Mean Penetration Data on Multi-Layer Ballistic Nylon and Kevlar Fabric Armor (see text for a definition of variables).

Structure of the Cluster. Definition of variables is important in the following discussions we use the following notations c, molar concentration of the cluster p, distance from its center v, 0, 1, volume, cross-section, and length of one monomer. These values are obtained from crystallographic data. The chains are treated as ideal free jointed rods of monomers. For numerical applications, we generally use the case of polyethylene v = 50 A3, 0 = 20 X2, 1 = 2,5 I. (1 + a)v will be taken as the volume of one neutralized charged ionomer. In many applications we shall take, for simplicity, a = 0 for the dry state. If the cations are solvated by V water molecules for each of volume vQ (30 AJ), a simple additivity rule for the volumes give av = WQ. 

Exception 1 Abbreviate units of measure in parentheses after the definitions of variables directly following an equation. 

DEFINITION OF VARIABLES (variables terminating with " " are double precision)... 

The efficacy and safety parameters describe how and when the variables are going to be recorded, usually in relation to drug administration and follow-up periods. How adverse events are managed and recorded are particularly important to the sponsor and regulatory authorities. Protocol authors should ensure that the study defines the criteria for success or failure of treatment. End-points should be clear and defined. Since many clinical phenomena are open to interpretation, protocols should provide definitions of variables and time windows for their collection. If the assessments are purely subjective, then methods to prevent observer bias (so-called observer truing ) must be employed. Addressing these issues will improve the quality and meaningfulness of the results of the study. 

Figure 2.13 Definition of variables for a dipole-dipole interaction...

With these definitions of variables and parameters, the nondimensional mass balance equations take the uncluttered form containing only two (dimensionless) parameters... 

An important phase in the mathematical formulation of any physical problem is the definition of variable constraints and bounds (Shacham et al., 2002). 

Figure 6,6 Definition of variables used in the pattern density model (Stine et al., 1997).

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