Graphical representation, Fig

As AD is made smaller, a histogram becomes a frequency distribution curve (Fig. 4.1) that may be used to characterize droplet size distribution if samples are sufficiently large. In addition to the frequency plot, a cumulative distribution plot has also been used to represent droplet size distribution. In this graphical representation (Fig. 4.2), a percentage of the total number, total surface area, total volume, or total mass of droplets below a given size is plotted vs. droplet size. Therefore, it is essentially a plot of the integral of the frequency curve. 

Stuckert (1941) used a graphic representation (Fig. 220) in which the corriponents of current enamels are divided into carriers of chemical resistance and strength (Si02, B2O3), opacificTs (NaF, CaF,), and carriers of mcltability and thermal expansion. 

As a further iUnstration of this form of graphical representation Fig. 119 gives the diagrams for a diesel fuel (a) and a special diesel fuel (b). 

The behavior over time of the concentrations of both reaction partners is determined by both the rate coefficients of the forward and the backward reaction. In a graphic representation (Fig. 17.1), our expectations concerning the form of the functions are fulfilled. As time progresses, the concentrations increasingly approach their equilibrium values. We can determine what these are by finding the limit for t oo, taking into account that e 0 is valid for x oo ... 

The entirely different behaviour of the two quantities is also shown by the graphic representation (Fig. 53, and E, in which the index a dcnotcsThat... 

Analytical trees are nothing more than graphic representations (Fig. 10-1). They are literally pictures of a project. Analytical trees use deductive reasoning that is, they start with a general top event or output event and develop down through the branches to specific input events that must occur in order for the output to be generated. 

The effect of ellipticity also increases [77] above the 2.5 value obtained for spheres. Analytical functions as well as graphical representations like Fig. 9.3 are available to describe this effect in terms of the axial ratios of the particles. In principle, therefore, a/b values for nonsolvated, rigid particles can be estimated from experimental [77] values. 

Fig. 7. Graphical representations of (a) the Highest Occupied Molecular Orbital (HOMO) and (b) the Lowest Unoccupied Molecular Orbital (LUMO) for ranitidine. It is possible, in the ordinarily visible color-coded data not shown here, to distinguish the strong localization (a) of the HOMO to the sulfur atom and adjacent nitroethyleneamine fragment and the contrasting localization (b) of the LUMO to the nitroethylenearnine fragment. Neither the LUMO not HOMO appear to have contributions from the dimethylaminomethyl-suhstitiited furan.

Fig. 6. AT in a waste-heat boiler (a) schematic (b) corresponding graphic representation.

Fig. 4. Graphic representations (viscosity vs shear rate) of Cross model with different values for d.

Fig. 5. Adiabatic gas—Hquid contacting, graphical representation where point A is an arbitrary point along the column line CAB is the operating line having slope of F l / j point E represents the interface conditions corresponding to point A and the tie line AE has slope of h -al ky-a). The bold line...

FIG. 5-8 Graphical representation of the Colhiirn / factor for the heating and cooling of fluids inside tnhes. The curves for helow 2100 are based on Eq. (5-40). L is the length of each pass in feet. The curve for Nr above 10,000 is represented by Eq. (5-50c). 

Fig. 5.2 Graphical representation of stable and unstable time responses.

Fig. 1.10. Graphic representation of K-molecular orbitals of 1,3,5-hexatriene as combinations of 2p AOs. The sizes of the orbitals are roughly proportional to the coefficients of the Hiickel wave functions.

The graphical representation is not as simple as that for the [CHTJi cycle, but still informative. It is also shown in Fig. 3.8, which gives a plot of the [CHTXJi efficiency against x for the parameters specified earlier, and for e = 0.75. The term in the square... 

To calculate the anode resistance a knowledge of the environmental resistivity is required. For submerged anodes the water resistivity can be obtained from graphical representations such as Fig. 10.19, provided that the temperature and water density are known. However, field data are preferable and, in the case of soils that have widely varying resistivities, they are essential. 

A graph paper based on this type of relationship can be obtained. It permits convenient graphical representation of size distribution data (as shown in Fig 3) even if the distribution does not follow a log-probability relationship. In addition, the assumption of a log-probability distribution as an approximation permits simple conversion from one basis of representing size distribution, mean size, or median size to another basis... 

Fig. 2.3a, b. Graphical representation of a the stable thickness of a lamella as a function of temperature T b The temperature above which a lamella of a given thickness would be unstable. Other notation in the Figure is defined in the text... 

Fig. 16. Graphical representation of Arrhenius parameters for the low temperature decomposition of ammonium perchlorate (pelleted, orthorhombic, o, and cubic, , forms). Compensation behaviour is observed. Data from Jacobs and Ng [452]. N = nucleation, B = branching, G = growth processes.

As already described in part 2.3.2 for a set of pairs (R, a) (Fig. 3 a) the remaining geometric variables were optimized in keeping with a symmetry restriction (Fig. 3 b). The energy function E = f(R, a) obtained here in the gas phase is presented in Fig. 4 as a graphic representation of isoenergetic lines above the R-a-plane. Tire points marked by Roman numerals are minimas (educts I products III, IV, V) and the saddle... 

Fig. 39. Graphical representation of the correlation between i> (cm ) for Ni(ol) and the energy (E ) of the ir orbital of the free olefin. The olefins are lettered as in Table XVI. Squares indicate hydrocarbon olefins, and circles, fluoro- or chloro-olefins (141).

A graphical representation of diamantane solubility data [36] in various supercritical solvents (carbon dioxide and ethane at 333 K and methane at 353 K) is shown in Fig. 12. 

Fig. 25.5 Graphical representation of a two-by-two assay response. X is the horizontal distance between the two lines. The antilog ofX gives the relative potency of the standard and test.

Fig. 7 Graphic representation of monodentate (rj, left) and bidentate right) TiOOH species). Adapted from [50] with permission. Copyright (2004) by Wiiey-VCH...

Fig. 1.16 Graphical representation of the fence model, with the key length (Aj ) and height (Ajj) parameters...

Fig. 1.17 Graphical representation of the sphere used to calculate the values...

Fig. 7.43 Graphical representation of isomer shifts of the 6.2 keV y-transition in Ta for tantalum compounds and for dilute impurities of Ta in transition metal hosts (from [186])...

Using regression analysis on a data set of about 50 different molecules, it was found that a. = —4.4,8 = —0.5, Df = 12 cm2/s, and =2.5x 10 5 cm2/s [192], A graphic representation of the effect of relative molecular mass (Mr) and distribution coefficient on corneal permeability is shown in Fig. 13. One observes a rapid reduction in permeability coefficient with decreasing P and increasing Mr. The addition of pores to the model, a mathematical construct, is necessary to account for permeability of polar molecules, such as mannitol and cromolyn. These would also be required for correlating effects of compounds, such as benzalkonium chloride, which may compromise the... 

Selected examples illustrating the shape of host 26 under various conditions are given in Figs. 39a-39c. The first parameter we choose to characterize the shape of 26 is the inclination angle of the phenyl rings readable at the gable of the roof-shaped molecule (graphical representation in Table 22). It indicates little variation [see... 

Fig. 12.8 Graphical representation of the problem specification, with x set to 0.1 kg salt/kg water... 

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