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Show that a pulsed spherical wave has a complex wavefunction of the form U(r,t) = (1/r)a(t-r/c) where a(t) is an arbitrary function. An ultrashort optical pulse has a complex wavefunction with a central frequency corresponding to a wavelength λ0 = 585nm and a Gaussian envelope of rms width σ1 = 6fs. How many cycles are contained within the pulse width? If the pulse propagates in free space as a spherical wave initiated at the origin at t = 0, describe the spatial distribution of the intensity as a function of the radial distance at time t = 1ps.
Question 1: ? deduce the causal factors behind technological developments in different cultures and during different periods of human history ? assess the basis of common cr
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Explain the term Fordism Between approximately 1890 and 1930-or perhaps 1890 and 1950-a host of innovative technologies and business practices were adopted in the US. Europeans
explain how the keynesian cross shows that the economy is susceptible to self-fulfilling prophesies, either positive or negative
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what are the limitations of economies of scale?
Change in consumer and producer surplus from price controls * Observations: - The loss is equal to area B + C. - The change in surplus = (A - B) + (-A - C) = -B - C -
the prevalence of excess capacity is the direct consequence of the existence of monopolistic competition
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