Homogeneous, defined

The state of affairs with regard to the distribution of a particular species A in bulk material can be characterized by the quantity homogeneity defined by... 

This is the reason why it is worth making an effort to find the way of describing systematically the statistical behaviour of copolymers in terms of quantities that can be expressed independently of the copolymerization process. This research has not only a theoretical, but also a practical interest, since such quantities would allow the characterization of copolymers even when one does not have the slightest idea of how they have been obtained. From this point of view, one easily realizes the importance of parameters such as informational entropy and sequential homogeneity, defined on the basis of well-specified operations (interchange of the sequences, extraction of successions of a certain number of units) performed on the copolymer. 

CO2) isochores = straight lines, is presented on Fig. 5 as the "two homogenization points method". The isochore is determined by two points A and B A, at low temperature, i.e. within the miscibility gap of the system, corresponds to Tji CO2 (Fig. k.l) (the contribution to the pressure of HpO liquid (vapour pressure near room temperature can be neglected). The temperature of total homogenization defines B as the intersection of Th and the "critical" curve for a given Xc02 ([Pg.217]

Linearity Differential and integral distortion Vd,i and homogeneity Fld,i are defined at various locations of the image converter input to be able to establish the linearity of the imaging system. 

The first step will establish certain minimum requirements for those parameters that are defined in part 1 inherent unsharpness, contrast sensitivity, distortion, and homogeneity. The result will be three different equipment classes SC1, SC2, SC3 (see table 1). 

For homogeneous systems, the average number density is n = (N) / V=v Let us define a local number... 

The time-to-distance transfonnation requires fast mixing and a known flow profile, ideally a turbulent flow with a well-defined homogeneous composition perpendicular to the direction of flow ( plug-flow ), as indicated by tire shaded area in figure B2.5.1. More complicated profiles may require numerical transfomiations. 

Here =MkT. In a real system the thennal coupling with surroundings would happen at the surface in simulations we avoid surface effects by allowing this to occur homogeneously. The state of the surroundings defines the temperature T of the ensemble. 

Thus far we have considered systems where stirring ensured homogeneity witliin tire medium. If molecular diffusion is tire only mechanism for mixing tire chemical species tlien one must adopt a local description where time-dependent concentrations, c r,f), are defined at each point r in space and tire evolution of tliese local concentrations is given by a reaction-diffusion equation... 

Herein Pa and Pb are the micelle - water partition coefficients of A and B, respectively, defined as ratios of the concentrations in the micellar and aqueous phase [S] is the concentration of surfactant V. ai,s is fhe molar volume of the micellised surfactant and k and k , are the second-order rate constants for the reaction in the micellar pseudophase and in the aqueous phase, respectively. The appearance of the molar volume of the surfactant in this equation is somewhat alarming. It is difficult to identify the volume of the micellar pseudophase that can be regarded as the potential reaction volume. Moreover, the reactants are often not homogeneously distributed throughout the micelle and... 

A thin isotropic homogeneous plate is assumed to occupy a bounded domain C with the smooth boundary T. The crack Tc inside 0 is described by a sufficiently smooth function. The chosen direction of the normal n = to Tc defines positive T+ and negative T crack faces. 

Most battery electrodes are porous stmctures in which an interconnected matrix of soHd particles, consisting of both nonconductive and electronically conductive materials, is filled with electrolyte. When the active mass is nonconducting, conductive materials, usually carbon or metallic powders, are added to provide electronic contact to the active mass. The soHds occupy 50% to 70% of the volume of a typical porous battery electrode. Most battery electrode stmctures do not have a well defined planar surface but have a complex surface extending throughout the volume of the porous electrode. MacroscopicaHy, the porous electrode behaves as a homogeneous unit. 

Fig. 18. Separation of ethanol from an ethanol—water—benzene mixture using benzene as the entrainer. (a) Schematic representation of the azeo-column (b) material balance lines where I denotes the homogeneous and the heterogeneous azeotropes D, the end points of the Hquid tie-line and A, the overhead vapor leaving the top of the column. The distillate regions, I, II, and III, and the boundaries are marked. Other terms are defined in text.

The simplest element is a single homogeneous. stream. The variables necessary to define it are ... 

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