define unit step function U(-n-1)
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Step-by-step explanation:
The Unit Step Function
Definition: The unit step function, \displaystyle{u}{\left({t}\right)}u(t), is defined as
\displaystyle{u}{\left({t}\right)}={\left.{\left\lbrace\begin{matrix}{0}&{t}<{0}\\{1}&{t}>{0}\end{matrix}\right.}\right.}u(t)={
0
1
t<0
t>0
That is, u is a function of time t, and u has value zero when time is negative (before we flip the switch); and value one when time is positive (from when we flip the switch).
0.5
1
1.5
2
-0.5
-1
-1.5
-2
0.5
1
t
f(t)
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Graph of \displaystyle f{{\left({t}\right)}}={u}{\left({t}\right)}f(t)=u(t), the unit step function.
Value at t = 0?
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