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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.
1. The two-way ANOVA, non-orthogonal case, has been a vexing problem for ANOVA researchers for many years. Please answer the following questions concerning the two-way non-orthogo
Mixed Economy: This type of economic system combines the features of both the capitalist and socialist economic systems. The private sector is allowed to function on the principles
the general characterictics of economic models,its limitations and verification
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Using a graph of the compensated and uncompensated demand curves, show how the magnitudes of the CV, EV, and ?CS will be related to each other when there is a ceteris paribus incr
Allocation Function The shifting or reallocation of production property into or out of markets based on shifts in prices for the products or services produced in that market.
Comparison with Our Needs: We can further test our performance by juxtaposing it with our requirements. Admittedly, it is very difficult to determine 'needed' rate of growth w
what the company do?
For the purposes of economic analysis, a normal profit contains the cost of the lost opportunity of the next best option allocation of the firms resources. In a purely competitive
discuss the revealed preference theory of consumer behaviour
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