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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.
If Kansas can formed either 400 tons of wheat or 100 tons of corn and Nebraska can formed 300 tons of corn or 200 tons of wheat then it makes sense for the two states to specialize
Is there any relation between inflation and unemployment? The Phillips Curve was a relationship among unemployment and inflation discovered by Professor A.W. Phillips. He foun
why is choice inevitable in the understanding of economics science?
1. Calculate the required reserve ratio. 2. Assume that Pam wants to borrow money to pay for a new car from Sharpeland Bank. a. What is the maximum amount that Sharpeland Ban
Why firm charges different prices to different consumer? Every firm needs to maximize its profit. When goods are sold to different customers, each customer negotiate price of
math question
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Assume that the market equilibrium rent for two-bedroom apartments in Santa Monica, California is $1500 per month and the quantity is 40,000 units. The city council of Santa Monica
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What are externalities? Give an example of positive and negative externality and explain why the market outcomes are inefficient in the presence of externalities
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