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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.
Economic profit and Economic loss: Economic profit is the excess if total revenue over total cost when the latter includes both explicit and implicit costs. It is the type o
Perceived Value Pricing This refers to a pricing strategy that dictates that the price of a given item will be set based on the customer's perception of the value of that item
composite supply v/s joint supply
The Case: In Pakistan, sugarcane, wheat, rice and cotton accounted for 90% of the value added in crops and 6% of GDP in the last fiscal year but the average yield of these crops is
alternative theories of trade
Let {(y i * ; x i ); 1 ≤ i ≤ n} be an i.i.d sequence of random variables where y i * and x i satisfy the linear relationship y i * = β 0 + β 1 x i + ∈ i with Cov(x i ; ∈
CURRENCY UNIONS AND OPTIMUM: This Section explains the working of monetary unions and common currency areas. The Section also examines the case for and against optimum currenc
Why narrowness of definition of a commodity may influence price elasticity of demand
What are the advantages of using mathematics in Modern Economics? Many of the advantages of using mathematics are as follows: a. The “language” used and the explanations of
If we have two products, A and B, which are substitutes, we can expect that a rise in the price of A (or B) will cause the demand for B (or A) to go up.” Examine this statement wit
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