Null branch

The frequencies (19) constitute the positive and negative branches of the band. For Am=0, the null branch is obtained ... 

For fixed values of the initial and final oscillation quantum numbers n1 and n2 and varying values of the rotational quantum number m, this gives a band with the branches (to which a null branch may be added) ... 

The infra-red spectra of the halogen hydrides are of the type described here but without null branches.1 These spectra consist of individual double bands, i.e. an approximately equidistant succession of lines, which are symmetrically situated with respect to a gap. In this gap we have to imagine the null line mentioned in 19. A doubling-back of the one branch is not observed in this case. 

Finally the two compositions in (4) are graphically similar, and so we discuss only the first. Graph is formed by connecting a query node q a branch node - to two nodes, the entry node e of B and the NULL node p which is the exit for the exit node d of B is directly connected back to q. We can only... 

In the first case, when only species O is initially present in the electrolytic solution (Fig. 2.13a), it is observed that the amalgamation of species R leads to a shift of the wave to more negative potential values, and this shift is greater the more spherical the electrode, i.e., when the duration of the experiment increases or the electrode radius decreases. In the second case (Fig. 2.13b), both species are initially present in the system so we can study the anodic-cathodic wave. In the anodic branch of the wave, the amalgamation produces a decrease in the absolute value of the current. As is to be expected, the null current potential, crossing potential, or equilibrium potential ( Eq) is not affected by the diffusion rates (D0 and Z)R), by the electrolysis time, by the electrode geometry (rs), nor by the behavior of species R... 

In Fig. 4.14, the influence of different parameters like the duration of the second potential pulse (t2, Fig. 4.14a), the heterogeneous rate constant (k°, Fig. 4.14b), and the electrode size (through rs, Fig. 4.14c) on the RPV responses of planar and spherical electrodes is shown. It is important to highlight that for irreversible processes the RPV curve presents two branches (cathodic and anodic), the null current plateau between them being wider the smaller k° is. 

The dynamics of the /J-cdl model now depends on the point of intersection between the equilibrium curve for the fast subsystem [the solution to Eqs. (12) and (13)] and the so-called null-cline for the slow subsystem [the solution to Eq. (12)]. If this point falls on one of the fully drawn branches of the equilibrium curve, the equilibrium for the three-dimensional model is stable, and the model produces neither bursting nor spiking dynamics. If, as sketched in Fig. 2.7c, the two curves intersect in a point of unstable behavior for the fast subsystem, the equilibrium point for the full model is also unstable. The null-cline in Fig. 2.7c is drawn as a dashed curve. Below the null-cline for the slow subsystem, dS/dt < 0, and the slow... 

The ability of CPT to separate two enantiomers also depends on the individual detuning parameters Ay and on the related dynamical phase 2 2 r. At resonance Ay = 0 and

population transfer from state 1) to a combination of states 2) and 3). In that case, the p2/p3 branching ratio of the final populations is given, as in the double STIRAP case [98,99], by the IfWfinl2 ratio, and no enantiomeric selectivity is then possible. 

Komori M, Ghosh R, Takaichi S, Hu Y, Mizoguchi T, Koyama Y and Kuki M (1998) A null lesion in the rhodopin 3,4-desaturase of Rhodospirillum rubmm unmasks a cryptic branch of the carotenoid biosynthetic pathway. Biochemistry 37 8987-8994... 

While it is true that the speed for the adiabatic branches is independent from the speed of the isothermal ones in the cycle, but with a non null value, in order to obtain a more realistic result it will be assumed that their speed follows a similar law to the isothermal ones. 

There is, however, a special class of systems where, after certain modifications, the kinematical description could be still applied to describe interactions between the propagating waves. These are the systems where a propagating pulse is narrow but its recovery tail is long. In terms of the reaction-diffusion equations it means that the motion of the portraying point along the recovery branch of the null-cline takes much more time than the respective motion along the excitation branch of the same null-cline. This condition can be real-... 

All permutations of the expression being evaluated by the Case statement must be tested. This example tests all four possible states of S, but in some situations not all of them may have a sequence of actions defined or several may require the same actions. The Others keyword can be used in place of the final case branch to group such states together. Often, no action is required and the statement will take the form when others => null . The syntax for the Case statement is given in Box 4.4. 

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