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seen earlier is of the order of magnitude 10 28 g, that is con ned to move on a line segment (along an imaginary x axis) of length L L is taken to be the approximate diameter of an atom, which as seen earlier, is of the order of magnitude 10 10 m In either case, it is assumed that when the electron or particle reaches the end of the segment, it is re ected by some force; the electron or particle is said as being in a potential well We apply quantum theory principles to these two cases and we look at the kinetic energy (energy of motion) In classical mechanics, through empirical experience, the velocity v can have any possible value from zero upward; classical mechanics predicts that the total kinetic energy is quadratic on v, it being E ( 1 )mv2.

PCR. Any of these fields in FRM and BRM cells are subject to change by ATM switches or the destination. Figure 7.20 shows the format of a RM cell. There are two additional details to make the flow control more robust. First, if a source is idle for, say, 500 ms a different value can be negotiated during call establishment ., its ACR is reset to ICR, preventing it from injecting traffic too fast into the network if the previous value of ACR is much higher. Second, RM cells could be lost, so the source should keep track of whether it receives an RM cell back. If it does not receive an RM cells for a prescribed interval, it continually decreases its sending rate. Thus, when a link goes down, all affected sources eventually stop transmission. In other words, the source only increases its sending rate for a connection when given an explicit positive indication through RM cells. to do so. Figure 7.21 explains the rate representation for an ABR connection. 7.2.3.2 Switch Behavior To support ABR services, ATM switches must monitor queue lengths and begin to throttle back rates as the buffer becomes full. On the other hand, an ATM switch should allocate a fair share of its capacity among all connections that pass through it and selectively throttle

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It follows that since all values 2 for v are permissible, then all values for E are also permissible Classical mechanics correctly predicts what an experimenter can measure and observe empirically for large particles or objects For a Newtonian-level particle or object one can establish (measure) the position and velocity of a particle at any given instant of time It further follows that, given the object s mass, its initial velocity, and a speci cation of the forces acting on it, one can use classical mechanics equations to predict the exact position and velocity of the particle or object at any future time Hence, one can determine the trajectory of the particle and calculate it to any degree of accuracy.

Figure 6.12 Changes in lightness contrast as a function of surround relative luminance according to the results of Bartleson and Breneman (Bartleson 1975)

PLOTTING AND M-FILES 1.00000000 1.41421356 1.73205081 2.00000000 2.23606798 2.44948974 2.64575131 2.82842712 3.00000000 >>

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The fact that all values for E are permissible in classical mechanics is in contrast with the prediction that quantum theory makes regarding the energy of an electron in a comparable situation Quantum theory, based on Bohr s explanation of the line spectra that are observed for atoms, predicts that there are only certain speci c quantized values of the energy can be achieved by electron con ned to move on the onedimensional line The equation for the allowed energies as given by quantum theory for the simple system under discussion is En or En Kn2 n 1, 2, 3, 4, (with K h2/8mL2) h2n2 8mL2 n 1, 2, 3, 4, ..

Summary