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** Discussion and Comparison of Particular Cases **

** Particular case of a hybrid electric vehicle **

** Particular risk analysis case studies **

In this particular case, the calculations are completely symmetrical up to Eqs. (8-30). Evei ything we have said for a we can also say for p. At self-consistency, a = p so we can substitute a for p at any point in the iterative process, knowing that as we approach self-consistency for one, we approach the same self-consistent value for the other. [Pg.239]

In this particular case, the equilibrium average is taken over the initial rotational states whose probabilities are denoted pir, any initial vibrational states that may be populated, with probabilities piv, and any populated electronic states, with probabilities pig. [Pg.423]

Note that this is only a particular case of Williamson s general method for the preparation of ethers. [Pg.218]

Figure A3.8.2 The correlation fimction k( ) for particular case of the reaction of methyl vinyl ketone with cyclopentadiene in water. The leveling-off of this function to reach a constant value at the plateau time tp is clearly seen. |

In order to reply to some particular cases of NDT such that the detection two close defects and the fine thickness measure, we have developed techniques adapted to this type of problem. [Pg.225]

As stated above, the CG coefficients can be worked out for any particular case using the raising and lowering operator techniques demonstrated above. Alternatively, as also stated above, the CG coefficients are tabulated (see, for example, Zare s book on angular momentum the reference to which is given earlier in this Appendix) for several values of j, j, and J. [Pg.629]

The 3—21G basis is an exception to the notation above. In this particular case, the d functions are added only to 2nd row atoms, A1 through Ar. In order to indicate this difference, this basis is sometimes given the notation 3—21G( ). [Pg.81]

In this section we shall prove the existence of a solution of the elastoplastic boundary value problem for the particular case of a nonsmooth boundary which arises if we remove a two-dimensional surface from the interior of the body. [Pg.301]

For electrophilic substitutions in general, some form of the S 2 mechanism is now believed to operate. We can now review the evidence concerning the particular case of nitration. [Pg.108]

Recent air pollution regulations limit the amount of volatile organic carbon (VOC) that can be discharged from wastewater treatment plants. Benzene is a particular case in which air emission controls are required if the concentration of benzene in the influent wastewater exceeds 10 mg/L. [Pg.223]

The SAso = 0 limits of the fomiulas presented in this subsection cover all particular cases (including Uj = 1, Oc = l,anduj = 2, Uc = 1) handled in the previous works [18,132,153]. [Pg.538]

Algebraically, the dusty gas flux relations are identical with one of the many particular cases of the Feng and Stewart model, as we shall see. However, the two differ conceptually in their approach to deriving the flux i elations. [Pg.63]

An additional regularity of the solution near the point xi takes place in some particular cases. For example, assume that the solution u satisfies the condition [u] =0 on B i n S , where B i is a ball centered at xi. Using the technique of Section 2.5, we can prove that the equation —Au = f holds in Bx, and consequently, u G Hf Bx,). In this case all the integrals in (4.98) make sense. Consequently, by (4.62), (4.93), the equality (4.97) follows. [Pg.270]

Semiempirical, DFT, and ah initio methods also work well. Correlation effects are sometimes included for the sake of increased accuracy, but are not always necessary. One particular case for which correlation is often necessary is fluorine compounds. [Pg.285]

Without assuming something specific about the reaction rate, it is not possible to go further and actually determine the micropore fluxes. We shall therefore consider the particular case of a first order reversible isomeri- [Pg.82]

If the desorption rate is second-order, as is often the case for hydrogen on a metal surface, so that appears in Eq. XVIII-1, an equation analogous to Eq. XVIII-3 can be derived by the Redhead procedure. Derive this equation. In a particular case, H2 on Cu3Pt(III) surface, A was taken to be 1 x 10 cm /atom, the maximum desorption rate was at 225 K, 6 at the maximum was 0.5. Monolayer coverage was 4.2 x 10 atoms/cm, and = 5.5 K/sec. Calculate the desorption enthalpy (from Ref. 110). [Pg.739]

Electrodes. AH of the finished silver electrodes have certain common characteristics the grids or substrates used in the electrodes are exclusively made of silver, although in some particular cases silver-plated copper is used. Material can be in the form of expanded silver sheet, silver wire mesh, or perforated silver sheet. In any case, the intent is to provide electronic contact of the external circuit of the battery or cell and the active material of the positive plate. Silver is necessary to avoid any possible oxidation at this junction and the increased resistance that would result. [Pg.554]

Note for highly substituted allenes containing silicon, gernanium or tin we observed deviations of the calculated chemical shifts from the measured values, and one should therefore treat these particular cases with special care. [Pg.256]

Ihese relative probabilities can be easily determined by simply counting the number c imes during the simulation that the relevant value of lambda reaches unity. In the case ( the para-substituted benzamidines it was possible after only a relatively short simulatio (110 po) to observe that the p-chloro and p-methyl derivatives were significantly weaki than the p-amino and the parent compound (Figure 11.18). In this particular case, all foe [Pg.603]

Discriminant emalysis is a supervised learning technique which uses classified dependent data. Here, the dependent data (y values) are not on a continuous scale but are divided into distinct classes. There are often just two classes (e.g. active/inactive soluble/not soluble yes/no), but more than two is also possible (e.g. high/medium/low 1/2/3/4). The simplest situation involves two variables and two classes, and the aim is to find a straight line that best separates the data into its classes (Figure 12.37). With more than two variables, the line becomes a hyperplane in the multidimensional variable space. Discriminant analysis is characterised by a discriminant function, which in the particular case of hnear discriminant analysis (the most popular variant) is written as a linear combination of the independent variables [Pg.719]

** Discussion and Comparison of Particular Cases **

** Particular case of a hybrid electric vehicle **

** Particular risk analysis case studies **

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