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Practice Problem: the definition of a set
Does the following collection of signals form a set?
$ \begin{align} x_1(t) &= \sin t \\ x_2(t) &= \cos t \\ x_3 (t) &= \sin \frac{t}{2} \\ x_4(t) & = sin \left(t-\frac{\pi}{2} \right) \end{align} $
Justify your answer.
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Answer 1
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Answer 2
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Answer 3
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