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From this point on it is assumed that any problem amenable to solution with the aid of the Discrete Fourier Transform (or DFT) will in fact be treated computationally with a fast r
The P.D. at the feeder end of a two wire d.c. distributor is 600 volts. Two loads are connected to the distributor at distances of 600 feet and 1000 feet from the feeder end and t
A house wall may be approximated as two 1.2 cm layers of fiber insulating board, a 8 cm layer of loosely packed asbestos, and 10 cm layer of common brick. Assuming convective heat
An experiment conducted over time T necessarily produces a windowed view of the phenomenon generating the data. It is a useful strategy to regard the windowed data as one period of
Prove that the Lagrangian coef?cient polynomials for p n (x) satisfy ∑ n k=0 l k (x) = 1. Hint: It is only a 3-line proof. Consider the interpolating polynomial for a constan
1. (i) How many digits does the number 101000 have when written to base 7 ? (ii) Use the prime number theorem to estimate the proportion of prime numbers among the positive inte
Produce a discrete time series y(t i ) by super positioning 5 cosinusoidal components, for your own choice of the amplitudes (a j ) and frequencies (f j ). Add some Gaus
Evaluate the expression below for various smoothers, plot and compare the results, making appropriate comments.
X(z)=1/(1-a(z^-1))
change each of the following propositions into symbolic form. De ne the universe of discourse and the predicates you use. (i) Some children are afraid of snakes. (ii) All com
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