Interval distribution

Fig. 2. Blackbody radiated photon flux interval distribution from ambient temperature up to 2000 K. Ambient objects do not have detectable flux for...

Another distribution function of interest relates to the distribution of time intervals between successive counts. We know the average time between counts is (1 /count rate). The distribution of time intervals is given by the interval distribution. This distribution (applicable to all random events) states that for a process with an average time between events tm, the probability of getting a time t between successive events is... 

The confidence interval distribution is shown in Fig. 2. This graph demonstrates that even after uniting of small town and town groups one more group remains which is not statistical independent. City suburb does not differ from town . 

Some neurons show self-similar fractal patterns on the scaled interval distributions. In the last case, neurons occasionally have very long intervals between action potentials. These long intervals occur with sufficient frequency... 

We mention that the interspike interval distribution densities for the FHN system in the different dynamical regimes, including excitable behavior, were already presented in [9]. The calculations were performed under the assumption of a perfect time scale separation and linearization of the... 

Fig. 2.10. Relation between mean system frequency v and driving frequency i/ (top) and number of locked cycles Ni ck (bottom) of the excitable model as a function of driving frequency v. Lines show dependence as solutions of eqs. (2.36) and (2.37). The + symbols present results from simulations of the discrete system and circles correspond to data from simulations of the FHN system. Parameters for the FHN system eq. (2.11) ao = 0.405, ai = 0.5, = 0.001, D = 10 , Sx(t) = 0, Sy t) = A with A = 0.015. Parameters for the two state model (theory and simulations) from simulations of the interspike interval distribution density (cf. Fig. 2.6) T ss 2620, ro 0.0087 and n 8.3 10- . [15]...

When a mature seed has dispersed, germination begins. After a random time interval distributed according to the PDF Pi(t), a plant germinates with probability o. This plant grows, over a random time interval distributed according to the PDF to maturity (i.e., able to produce seeds), unless it first dies within a random time distributed according to the PDF [83(f). When a plant matures, it produces Y... 

Equation (4.61) is the interval probability density function, which is sometimes loosely labeled the interval distribution. Figure 4.42 demonstrates the shape of the function. Note that short intervals are the most probable. This is why the x-ray photons seem to arrive in bunches when observed at very low counting rates. Note also that Pt(l) is a continuous probability density function. 

Show that the single particle simulation of a breakage process can be extended to the case where particle growth occurs in accord with the function X(x). Elucidate the simulation strategy by calculating the quiescence interval distribution. (See Ramkrishna et al 1995 for application to a mass transfer problem in a stirred liquid-liquid contactor). 

The discussion about optimum design parameters does not consider the temperature limit for industrial catalysts. It is actually possible that the outlet temperature at first bed determined by the method mentioned above will excess the functionable temperature of the catalyst, especially for some new catalysts that can operate at low temperatures and low pressures such as A301 and ZA-5. In practice, this case happens frequently. It is a problem that the optimum interval distribution is restricted by the limit of heat-resistant temperature. 

Nishenko SP, Buland R (1987) A generic recurrence interval distribution for earthquake forecasting. Bull Seismol Soc Am 77 1382-1399... 

Calculate intervals between seismic events // and summed interval distribution (ID)... 

Assuming that gas is in regular intervals distributed on a fece-to-face surface of a shovel, and disregarding a thickness of a shovel, speed of a relative wind of gas can be defined from the charge equation ... 

As corpuscles have the same size, we assume that they will face the central corpuscle when pass in distance limits 2R from it (Figure 18.2). Thus, concentration will be equal in this point to null, that is C = 0 at r = 2/ (for r = 0). Besides, it was originally supposed that corpuscles are in regular intervals distributed on all volume with concentration C. Thus, C = C atv = 0. 

Experimental value of a constant of concretion can be appreciable above the theoretical. On all visibilities, it is connected by that the resulted reasonings are lawful in the event that aerosol corpuscles are in regular intervals distributed by volume. Thus, uniformity of distribution depends on total number of corpuscles in system of their size V, a size of control volume V, and total amount systems V, which can be accepted equal to unit. 

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