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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 a periodic function. Then one may write
and seek to calculate the Fourier coefficients cn from the integral expression
Large values of cn will be regarded as a quantitative indication of a genuine periodic change in the phenomenon under study. In digital form the relevant equations are
The time interval [0,T] has been marked out in equal steps T/N, and frequency fn = n/T has been replaced by the dimensionless quantity n/N.
The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to
y"+3y''+2y=0
1. Joe and Sam each invested $20,000 in the stock market. Joe's investment increased in value by 5% per year for 10 years. Sam's investment decreased in value by 5% for 5 years and
i need a quote in analytical methods for engineers (Algebraic methods)
Solve the initial value problem 11(t+1)dydt-7y=28t, for t>-1 with y(0)=14. Put the problem in standard form. Then find the integrating factor, ?(t)= , and finally find y(t)=
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) Prove the following theorem by considering two distinct cases. For any integer n, n 2 + n is even. B) If x = r 2 - s 2 and y = 2rs for any integers r and s, then x 2 +
There is an illustration of a diesel engine sixteen cylinder that is supposed to be four-cycle, however GM never made engines of that size that were not two-cycle. The four valves
P=(Fv- ? Av3) (1-e-µ?) P is Power v is velocity of the belt ? is the density of the belt material ? = 1200 kg/m3 A is the cross sectional a
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