Mean frequency

Once a slice has been selected and excited, it is necessary to encode the ensuing NMR signal with the coordinates of nuclei within the slice. For each coordinate (x andy) this is achieved by one of two very closely related means, frequency encoding or phase encoding [1]. In this section we consider the fonner and in the next, the latter. In tlie section after that we show how the two are combined in the most coimnon imaging experiment. 

To carry out this method, values are chosen for Tq, the desired temperature, and v, the mean frequency with which each particle experiences a stochastic collision. If successive collisions are uncorrected, then the distribution of time intervals between two successive stochastic collisions, P(v, t), is of the Poisson fonn. 

The method performed above with the plaeement of the poles and zeroes will yield a minimum value for the exeess phase of 45 degrees, whieh is satisfaetory. If other pole and zero loeations are attempted, then loeate the maximum phase lag point of the L-C filter at the geometrie mean frequency between/ez2 and/epi. This will guarantee the best phase performance. The amount of phase boost of the compensation design will be... 

What is the mean frequency of deaths from nuclear power presented by the distribution from WASH-1400 presented in Figure 1.4.3-1 ... 

A number of issues arise in using the available data to estimate (he rates of location-dependent fire occurrence. These include the possible reduction in the frequency of fires due to increased awareness. Apostolakis and Kazarians (1980) use the data of Table 5.2-1 and Bayesian analysis to obtain the results in Table 5.2-2 using conjugate priors (Section 2.6.2), Since the data of Table 5.2-1 are binomially distributed, a gamma prior is used, with a and P being the parameters of the gamma prior as presented inspection 2.6.3.2. For example, in the cable- spreading room fromTable 5.2-2, the values of a and p (0.182 and 0.96) yield a mean frequency of 0.21, while the posterior distribution a and p (2.182 and 302,26) yields a mean frequency of 0.0072. 

The mean frequencies of events damaging more than 5% of the reactor core per year were found to be Internal Events 6.7E-5, Fire 1.7E-5, Seismic 1.7E-4, and total 2,5E-4. Thus, within the range of U. S. commercial light water reactors The core damage frequency itself, is only part of the story because many N-Reactor accident sequences damage only a small fraction of the core. The... 

The public consequences were significantly lower public than expected for a typical commercial LWR primarily because of the large distance to the public (>6 miles) and dispersal afforded by the height of the stack. The mean frequencies per year for offsite early fatalities are Internal Events 9.7E-13, Fire 3.8E-9, Seismic 2.2E-8, and Total 3.1E-9. For offsite latent cancer fatalities the results are Internal Events - 4.1E-3, Fire - 4.2E-3, Seismic - 6.0E-2, Total - 6.8E-2. For onsite early fatalities the results are Internal Events l.OE-6, Fire 8.3E-5, Seismic 8.6E-4, and Total 9 4E-4. For onsite latent cancer fatalities the results are Internal Events 2.70-4, Fire 2 3E-4, Seismic 3.0E-3, and Total 3.5E-3. 

The five types of accidents significantly contributing to the risk are failure and their mean frequency ai c ... 

Intensity at a Point of Superposition (1.17) The measurable physical parameter of an optical wave is its energy density or intensity. If two fields are superimposed, the measured intensity is given by the sum of the individual intensities plus aterm which describes the long term correlation of the field amplifudes. Long ferm means time scales which are large compared to the inverse of the mean frequency uj/2Tt (about 10 s) the time scale is set by the time resolution of the detector. This is why the held product term is expressed in the form of an ergodic mean ). An interferometer produces superimposed helds, the correlation of which carries the desired information about the astronomical source. We will discuss exactly how this happens in the following sections. 

Tension-type headache (TTH) is the most common primary headache disorder. It is often underrepresented in clinical practice, as many patients do not present for care.6 The term tension-type headache is used to describe all headache syndromes in which muscle contraction is the most significant factor in the pathogenesis of pain. The 1-year prevalence of TTH in the population ranges from 30% to 90%.6 It is more common in adult females. Environmental factors, as opposed to genetic predisposition, play a more central role in their development. Tension-type headaches can be further divided into episodic or chronic the mean frequency of attacks is 3 days per month in episodic disorders, and chronic TTH is defined as 15 or more attacks in a 1-month period.7 The estimated prevalence of chronic TTH is less than 5%.6 Some researchers believe that chronic TTHs represent a continuum of headache severity with migraine headache.8 When severe headaches are difficult to differentiate clinically, treatment should initially target TTH. 

Fig. 12.4 The (squared) frequency of the motion along the reaction coordinate q for a symmetric atom exchange reaction. L is the range of the chemical barrier region, and the frequency is shown in units of the mean frequency of the unperturbed solvent. The range of frequencies in the solvent is indicated as a solid bar. The negative values for the solvent correspond to unstable solvent modes.

According to the two-state model, the spectrum of the relaxed state has a mean frequency vR and is shifted relative to the spectrum of the initial state, which has a mean frequency vF. If relaxation does not occur during the process of emission (xR xF), the mean frequency of the fluorescence... 

In this expression, mo) and correspond to the mean frequency and width of the m... 

Source Arithmetic mean Frequency Location Reference... 

To be sure, wealth transfers by juries, even if they are random, are insurable if their mean frequency and variance remain relatively constant. The result could be inefficient, however, if the risks of wealth transfers are larger than in other economic sectors and not diversifiable (Sansing and VanDoren 1994). 

Frequency of collisions. The mean frequency of collisions is similarly expressed in the hard spheres approximation as... 

Transition-state theory is based on two assumptions, the existence of both a dynamic bottleneck and a preceding equilibrium between a transition-state complex and reactants. Eq. (2.4) results, where k denotes the observed reaction rate constant, k the transmission coefficient, and v the mean frequency of crossing the barrier. 

Mean Frequencies/Amplitudes and Corresponding Density Distributions. Form of Rotational Absorption Band... 

In Section VILA a strongly idealized picture was described. The dielectric response of an oscillating nonrigid dipole was found in terms of collective vibrations of two charged particles. Now a more specific picture pertinent to an idealized water structure will be considered. Namely, we shall briefly consider thermal motions of a dipole as (i) pure rotations in Fig. 56b and (ii) pure translations in Fig. 58a. Item (i) presents the major interest for us, since we would like to roughly estimate on the basis of a molecular dynamics form of the absorption band stipulated by rotation of a dipole. Of course, even in terms of a simplified scheme, the internal rotations of a molecule should also be accompanied by its translations, so the Figs. 56a and 56b should somehow interfere. However, in Section IX.B.l we for simplicity will neglect this interference. This assumption approximately holds, since, as will be shown in Section IX.B.2, the mean frequencies of these two types of motion substantially differ. 

We see from Fig. 57b that if the transverse deflection c is small, the potential (20) has also a flat bottom similar to that calculated for the potential (443) at a small angular deflection p. As shown in Fig. 57b at q > 0.25, the function (443) rapidly increases. In view of Fig. 58d and Table XXI the estimated mean frequency (v) of transverse vibrations is about order of magnitude less than a mean rotational frequency. This result roughly justifies our neglect of the translational motion in derivations of the formulas for rotational motion. 

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