Normal frequency

A frequency distribution cui ve can be used to plot a cumulative-frequency cui ve. This is the cui ve of most importance in business decisions and can be plotted from a normal frequency distribution cui ve (see Sec. 3). The cumulative cui ve represents the probability of a random value z having a value of, say, Z or less. 

Time for 0.02 part of one-half of a cycle of a normal frequency wave of 50 Hz, during which current chopping occurs ... 

Larsen (18-21) has developed averaging time models for use in analysis and interpretation of air quality data. For urban areas where concentrations for a given averaging time tend to be lognormally distributed, that is, where a plot of the log of concentration versus the cumulative frequency of occurrence on a normal frequency distribution scale is nearly linear,... 

Normal Frequencies in (cm ) and Corresponding Tunneling Splitting for the First Excited States of Vinyl Radical" ... 

Figure 20 Normalized frequency distributions of crystallite thickness for linear polyethylene fraction, Mn = 76,700, Mw = 80,800 crystallized at 118 °C ( ), electron micrograph histogram ...

Figure 3. Normalized propagation constant as a function of normalized frequency for three low-order TE and TM modes n, 1.45, n2=l. 8, n3=l. 32.

Ovary apparently normal in its development, but does not present normal frequency of spontaneous ovulations. 

Normalized frequency, 11 132 Normalized mechanical properties, of fibers, 11 182... 

The thermal decomposition is first-order and the rate coefficient is given by k = 1.7 x 1014 exp(—51,000/i T) sec-1. The mean metal-carbon bond dissociation energy in this alkyl is 58.0 kcal.mole-1. In view of the normal frequency factor, it might seem reasonable to relate the observed activation energy to... 

The model of Rabkin and Skripnyuk [75] seems to be quite attractive in its explanation of pressure hysteresis observed in Fig. 2.43a. Our results always show a log-normal frequency distribution of powder particles (Fig. 2.34), which points towards the possibility of the existence of large and small fractions of particle sizes. This, in turn, is compatible with the model which states that fully transformed and nontransformed particles can coexist depending on their sizes. 

Figure 29.6 Normalized frequency of cavity-induced oscillations as a function of cavity geometry. 1 — L = 23 mm, 2 — d = 7.6 mm, 3 — others, 4 — [13], and 5 — acoustic eigenmode, fmn...

The quantal dose-response curve is actually a cumulative plot of the normal frequency distribution curve. The frequency distribution curve, in this case relating the minimum protective dose to the frequency with which it occurs in the population, generally is bell shaped. If one graphs the cumulative frequency versus dose, one obtains the sigmoid-shaped curve of Figure 22A. The sigmoid shape is a characteristic of most dose-response curves when the dose is plotted on a geometric, or log, scale. 

Our normal frequency for media hlls is dehned in the manufacturing site SOP Process Simulation (Media Fill) Test. At a minimum, media fills are performed twice a year for the hlling line and each shift. 

If incident radiation with a frequency equal to one of the fundamental frequencies falls on a molecule, it may make a transition from the ground state to the appropriate fundamental level. These normal frequencies usually occur in the infra-red spectral region. The probability of such a transition occurring, however, depends on the relationship between the molecule s electric dipole moment (as a function of the nuclear coordinates) and the wavefunctions of the ground state and of the fundamental level. 

Treatment of droplet size distribution invites controversy. The mere fact that the normal frequency distribution equation does not apply should make one skeptical that any other equation determined empirically will be universally applicable something more than pure chance is involved in droplet formation. 

The compactness and efficiency of the semiconductor laser make it particularly attractive for systems use. Other substances used have included indium arsenide, indium phosphide, indium aniimonidc. and alloys such as gallium-arsenide-phosphide. These lasers may he tuned over several percent of their normal frequency of operation by varying the current flow through the device. The tuning results from the variations in temperature with current, which, in turn, changes the index of refraction and tile resultant resonant frequency of the cavity. 

The determination of these normal frequencies, and the forms of the normal vibrations, thus becomes the primary problem in correlating the structure and internal forces of the molecule with the observed vibrational spectrum. It is the complexity of this problem for large molecules which has hindered the kind of detailed solution that can be achieved with small molecules. In the general case, a solution of the equations of motion in normal coordinates is required. Let the Cartesian displacement coordinates of the N nuclei of a molecule be designated by qlt q2,... qsN. The potential energy of the oscillating system is not accurately known in the absence of a solution to the quantum mechanical problem of the electronic energies, but for small displacements it can be quite well approximated by a power series expansion in the displacements ... 

In order to determine the normal frequencies, the general form of equation (14) is introduced into the Lagrangian equations of motion in terms of the g s. The result is... 

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