Although they are small in absolute value, these fluctuations must be taken into account in the various commercial transactions related to storage and distribution of gasoline. [Pg.188]

Figure 9. Energy difference (absolute value) between the components of the X II electronic State of HCCS as a function of coordinates p, P2, and y. Curves represent the square root of the second of functions given by Eq. (77) (with e, = —0.011, 2 = 0.013, 8,2 = 0.005325) for fixed values of coordinates p, and P2 (attached at each curve) and variable Y = 4>2 Here y = 0 corresponds to cis-planar geometry and y = 71 to trans-planar geometry. Symbols results of explicit ab initio calculations. |

The value of the correlation coefficient ranges from r = -1 to r = +1. In those cases where r =l, the data are completely correlated, either positively or negatively (see Figure 9-4). The smaller the absolute value of r, the lower is [Pg.444]

In general the width of the coexistence line (Ap, Ax, or AM) is proportional to an order parameter s, and its absolute value may be written as [Pg.639]

While studying these results we have to pay attention to two features (1) In each case, these numbers must, in absolute value, be as close as possible to 1 and (2) two of these numbers have to be negative. Then, we also have to be able to justify the fact that it is the first two diagonal elements that have to be negative and it is the third one that must be positive. Note that these D terms are reasonably close to fulfilling the expected features just mentioned [Pg.711]

Set this threshold Lo a small positive constant (the default value is 10 Hartrcc), Tli is tli resh old is used by HyperCh cm to igu ore all two-cicetron repulsion in tegrals with an absolute value less th an th is value. Tli is option controls the performance of the SCF itera-lious and the accuracy of the wave function and energies since it can decrease the number of ealeulatcd Iwo-elcclrou integrals. [Pg.113]

Equation (5.8) tends to predict vapor loads slightly higher than those predicted by the full multicomponent form of the Underwood equation. The important thing, however, is not the absolute value but the relative values of the alternative sequences. Porter and Momoh have demonstrated that the rank order of total vapor load follows the rank order of total cost. [Pg.137]

Because of the double sound path involved in PE measurements of the back wall echo, we approximate the corresponding attenuation at a certain frequency to be twice as large as the attenuation that would be obtained by an ordinary TT measurement. We propose to use the logarithm of the absolute value of the Fourier transform of the back wall echo as input data, i.e [Pg.889]

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