Hrst moment

AUMC the area under the Hrst moment of the concentration-time curve... 

In the previous paragraphs it was pointed out that a discrete time random walk, or a CTRW with a finite hrst moment for the waiting time distribution, on a lattice with a fixed jump distance led to a Gaussian diffusion process with a probability density given by Eq. (84). The spatial Fourier transform of this equation is... 

In Section III.D, we shall investigate when this happens. For the moment, imagine that we are at a point of degeneracy. To find out the topology of the adiabatic PES around this point, the diabatic potential matrix elements can be expressed by a hrst order Taylor expansion. 

The rate of the hrst reaction in the sequence is slow because kt is small, so the rate of decrease of [A] is not steep. Conversely, since k(2) is fast, we would at hrst expect the rate d[C]/dt to be quite high. A moment s thought shows... 

Or, to put it another way, the simplest hrst-order moment closure is to assume that all scalar covariances are zero ... 

From the last sample point of the generating system and from the hrst sample point of the returning water a sample of 1 1 from each must be taken, at the same time, at the beginning of the working week and at the moment when water is first pumped through the distribution network circuit. 

To add to the confusion noted for conventions of polarizabilities, both cgs and recommended SI units for linear and non-hnear optical polarizabilities coexist in the literature. We strongly advocate the use of SI units. The SI unit of the electric dipole moment is Cm (Cohen and Giacomo, 1987). Thus, consistent SI units of an nth-order polarizability are defined as Cm(mV )" = Cm"+ V ", ct (34)-(37). Conversions from the SI to the esu system for the dipole moment, the hrst-, second-, and third-order polarizability, are given in (38)-(41). 

Concentration-dependent measurements of this quantity yield the permanent dipole moment in the electronic ground state. The static hrst-order polarizability a(0 0) in (105) can be estimated from refractive index measurements of a( w w), (103). 

The further layout of the experiment consists of a hrst sextupole SI as a spin selector, a microwave cavity, and a second sextupole S2 as a spin analyzer (cf. Fig. 8). Since the magnetic held in SI is higher on the outside, the low-held seekers (1,1) and (1,0) will be focused, while the high-held seekers will move towards the magnet poles and annihilate there. We further assume that the states with Mp = 0 that have no permanent magnetic moment will loose their orientation in the held-free region before SI, so that after SI only atoms in the state (1,1) will remain. 

Crab Nebula. The Crab Nebula was hrst estabbshed as a TeV gamma-ray source by the Whipple telescope in 1989 [21] and for the moment being, is the best hrmly established TeV steady emitter in the northern sky. MAGIC will not use the Crab Nebula only as a standard candle but can also expect interesting physics from it as the detection of the Crab pulsar and the IC peak [22 23] once the 30 GeV energy threshold has been reached. 

In fact, the better-known Faraday s law of induction (without which no transformer in the world would exist) is actually the hrst of the set of four Maxwell s unifying equations. So we learn that the E- and H-helds appear simultaneously, the moment the original magnetic or electric source has a hme variance. At some distance away, these helds combine to form an electromagnetic wave — that propagates out into space (at the speed of light). 

The calculation of excitation energies and transition moments for unsaturated organic molecules has been one of the more successful applications of multiconhgurational quantum chemistry since the hrst application to the benzene molecule in 1992 [34]. Many hundred molecules have been studied. The CASSCF method allows optimization of excited state energy surfaces and this has been used to compute vibrationally resolved electronic spectra [35,36]. The method is used by several research groups for studies of photochemical reactions, including the localization of conical intersections, etc. 

A fair amount of information about a probability distribution is contained in its hrst two moments. The first moment is also called the mean, the average, the expectation, or the ei ected value. If the density... 

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