By Slater J.C.
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Additional info for Action of Radiation and Perturbations on Atoms
All other coefficients in the equation were taken fully arbi trarily. They can be linear or nonlinear, constant or time varying. Nor were theoretical restrictions put on the order of the differential equation. 41 by dividing by an, there are impor tant cases where it is very inconvenient to do so. There are no difficulties involved in setting up analog networks for an ¥= 1 if differentiators are permitted. Since the use of differentiators entails serious noise problems, however, a general procedure is required to synthesize such analog net works using only integrators.
G. Equation 3. 7a represents represents its Laplace is the transformed network for the study Initial conditions are taken to be zero. G 1 sC r e c e0(s) e;(s) d (b) f 1 sc c (c) Fig. 7 (a) Integrator with (c) Transformed network. leakage conductance. d (b) s-domain network. J(s) = eo(s), since the voltage between the input grid and ground is approximately zero. 43) The sensitivity coefficients can also be determined using purely experi mental methods. 44) This expression is obtained by studying the parameter influences of t:i.
The following is a simple illustration of his method. Example 1. Given the system of differential equations x<2 l + 2x<1> + 3x - y<2l = 0 x<1> + 4y<2> - 3y + y = 0 let x<1l = z y<2) = v so that z
Action of Radiation and Perturbations on Atoms by Slater J.C.