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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The time interval [0,T] has been marked out in equal steps T/N, and frequency fn = n/T has been replaced by the dimensionless quantity n/N.
application of mathematics in engineering
The following are 8 data points that shows the relationship between the number of fishermen and the amount of fish they can catch a day. (Let the number of fishermen be X and the a
The vertical motion of a general aviation airplane subjected to a sharp-edged wind gust is described by the equation Δw(t) = A g (1-e -t/τ ) assume A g = 30 where Δ w is in
First systems were described as systems that had one method of storing energy. Second order systems; wait for it.... have two methods of storing energy. Using a similar mechanica
b) State by inspection (i.e. without performing any formal analysis) all you can about each of the periodic waveforms shown in FIGURE 1 in terms of their Fourier series when analys
Solve differential equation of Y" = 0 using the Galerkin method and considering 0 = x= 3 given that: h = 0cm when x = 0m and h = 10cm when x = 3m.
As an engineering student, the ministry of energy and minerals has tasked you to help them model equation(s) that can estimate the amount of crude oil in a reservoir. The governmen
An auto manufacturing company wanted to investigate how the price of one of its car models depreciates with age. The research department at the company took a sample of eight cars
I need a research paper. The concept is to develop a new linear programming was not introduced in the art literature before then apply the LP to spcific industry
the solution of diffusion equation by using separation of variables
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