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The ROLLUP and CUBE aggregate functions generate subtotals and grand totals as separate rows, and supply a null in the GROUP BY column to indicate the grand total. ROLLUP generates subtotal and total rows for the GROUP BY columns. CUBE extends the capabilities by generating subtotal rows for every GROUP BY column. ROLLUP and CUBE queries also automatically generate a grand total row. A special GROUPING() function is true when the row is a subtotal or grand total row for the group.

then use of (9.120) in (9.118) immediately gives the upper bound on average BER in closed form. Figure 9.8 is a plot of the conditional BER Pb (E | t ) versus SNR per bit per path (in dB) = t /L as determined from both the exact result of (9.108) and the purely exponential bound of (9.117) for values of L = 2 and 4. Likewise, Fig. 9.9 is a plot of average BER versus (assuming a uniform power delay pro le for the Nakagami-m fading) as determined from both the exact result in (9.115) combined with (9.120) and the upper bound of (9.118) combined with (9.120). The results are given for three values of m, namely, m = 0.5, 1, 2, with m = 0.5 corresponding to worst-case (single-sided Gaussian) fading and m = 1 corresponding to Rayleigh fading. As one can observe from both sets of plots, the upper bounds are quite tight over a wide range of values of the SNR. Finally, it should be pointed out that when evaluated numerically using Mathematica software, the closed-form upper bounds of (9.117) and (9.118) offer a signi cant improvement in speed when compared with the exact single nite-range integrals as given by (9.111) and (9.115), respectively. 9.4.2 M-ary Orthogonal FSK

In the C02 molecule there is a resonance between the symmetrical stretching vibration (1 343 cm I , calculated without Fermi resonance) and the overtone of the deformation vibration (1334 cm I ) Two other examples of Fermi resonance are: CCld: v, ( A ] ) + 6(T2), (459 + 315 = 774 cm-')-(vLIS(T2) 780 cm I ) ; observed (with Fermi resonance): 791 and 762 cm I (Becher et al, 1974) S=Si=O: (The spectrum of this molecule (Cmu),which is unstable with respect to polymerization, can only be obtained in solid noble gases): 2vc,yis) ( A l ) (2643 = 1286 cm- l ) H vcsio)( A l ) (ca 1269 cm I ) ; observed (with Fermi resonance): 1265 and 1290 cm-' (Schnoeckel, 1980).

When you run scripts from the desktop or Windows Explorer, property settings can be applied as outlined in the previous section. These settings are for WScript. CScript, on the other hand, is a command-line executable, and like most command-line programs, can be configured using switches and modifiers. The command-line syntax for Cscript is:

Although perturbations of harmonics caused by Fermi resonance are not rare, the observed frequency changes are normally smaller than in the cases which have just been described These interactions are mostly recognized if more than the expected number of absorptions are observed in the region of fundamental vibrations, or if the measured frequency shifts caused by isotopic substitution do not tally with the calculated ones (42234) As in the CO2 molecule, there is strong vibrational coupling between the two NO groups in the isoelectronic NO: species The observed difference between both stretching vibrations is therefore large: voT: 2360 cm I , v,: 1396 cm I (Hisatsune et al, 1962) The theoretical treatment of linear AB2 molecules to calculate force constants is simple, since in this case the symmetry coordinates are identical with the normal coordinates (23.

2): the three expected vibrations belong to different irreducible representations (E: (vl), CT ( v3),IIL,( ~ 2 ) Thus, a simple mathematical relation exists between the frequen cies on the one hand and the force constants and the geometry (masses and distances) on the other hand (eg, Siebert, 1966): the difference between the two stretching vibrations caused by coupling is large if the mass mA of the central atom is small and if the force constant f ( A B ) is large (Gans, 1975):.