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The function is the Heaviside function and is defined as, uc(t) = {0 if t function. Heaviside functions are often called step functions. Here is some alternate notation for Heaviside

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An example to help guide you - If the coffee pot costs $60.00 and a 24 pack of k-cups costs $12, the step function is given by c (x) = 72 if 0 ≤ x ≤ 24 c (x) = 84 if 24 < x ≤ 48 c (x) = 96 if 48

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The step function enables us to represent piecewise continuous functions conveniently. For example, consider the function f(t) = {f0(t), 0 ≤ t < t1, f1(t), t ≥ t1, where we

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It is convenient to introduce the unit step function, defined as u(t) = {0, 1, t step

Such a situation is written using unit step functions as: V (t) = u (t − a) − u (t − b) This voltage has strength 1, duration (b − a). EXAMLPE The graph of V (t) = u (t − 1.2) − u (t − 3.8) is as follows. Here, the duration is 3.8 − 1.2 = 2.6. EXERCISES

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