Example sentences of "the time dependence " in BNC.

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1 Its design to avoid significant loading at the output or input has already been considered in section 3.7 for the special case of a direct input , which can be thought of as a sinusoidal input of zero frequency , but the discussion and conclusions reached apply equally well whatever the time dependence of the input signal .
2 Since any nonsinusoidal signal is the sum of a frequency spectrum of sinusoidal signals ( see chapter 11 ) , filtering generally alters the time dependence of a nonsinusoidal signal .
3 Thus the time dependences of the current I and potential difference V are given by the time dependence of the intersection of the load line with the characteristic , provided the frequency of the source is not so high that reactive effects render the static characteristic inappropriate .
4 The output response to the input spectrum is where Therefore the time dependence of the output signal is given by
5 Thus , writing C for the capacitance of C 1 in parallel with C 2 and eliminating between the two equations or where , and In terms of partial fractions it is convenient to express the Laplace transform of I 2 as so that taking the inverse Laplace transformation where Note that and are both positive and real since and The latter result follows because From equation ( 11.51 ) the time dependence of the output voltage is given by But when assuming capacitor C 2 is uncharged initially .
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