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4 cards from this section. Quick, good the night before a test.
What is the domain of the Fourier transform?
Think about the range of values it can take.
Is the Laplace transform applicable for functions defined only for t<0?
Consider the time aspect of the transforms.
What is the output type of the Fourier transform?
Think about what Fourier helps us analyze.
True or False: The Laplace transform can only deal with continuous functions.
Consider how engineering problems can have sharp changes.
A function describes a signal with sharp fluctuations over time. Would you use the Fourier or the Laplace transform, and why?
Consider the nature of the signal's characteristics.
Evaluate the implications of using the Fourier transform for a transient phenomena analysis in civil engineering.
Reflect on the differences in what information each transform captures.
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