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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.
given short run total cost curve :10q^2+4q=100 and short run marginal cost MC=20q+4 and market demand Q=100-p what''s the equation of the short run supply curve?
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Unions are Organizations of working people which aim to bargain collectively with employers in order to improve workers' bargaining power, regulate working conditions and raise wag
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