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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.
9. The average supernormal profit for the firm is
In fall 2006, Pace University raised its annual tuition from $24,750 to $29,750. Freshman enrollment declined from 1500 in fall 2005 to 1110 in 2006. assuming the demand curve did
1. What is a resource market? 2. Describe resource demand and resource supply. 3. Define derived demand. 4. Describe the resource market demand and supply curve. 5. Define a te
expansionary fiscal policy occurs?
what is demand function
POLICIES FOR SOCIAL INFRASTRUCTURE DEVELOPMENT: The origin of official policies for social infrastructure development is the National Policy of Education, 1986 for the develo
Consider the following insurance market. There are two states of the world, B and G, and two types of consumers, H and L, who have probabilities pH =0.5 and pL =0.25 (high and low
-1- ASSIGNMENT #1 The demand function for Product X is given by: Qdx = 80- 2Px- 0.05P²x -0.2Py + 4Pz + 0.01I+ 2A Where: Px Price of good X $120.00 Py Price of related good y $100.0
THEORY OF INTER-TEMPORAL CONSUMPTION: In the previous two units, we have been concerned with choices among contemporaneous commodities. An important class of choices made by c
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