# Defining a time varying function

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Deepa Maheshvare on 25 Feb 2020
Commented: Adam on 26 Feb 2020
I'd like to create a function that will output a value of a (e.g. a = 10) for time < t0 and value equal to b at time > t0.
Any suggestions on how to create such a function in MATLAB will be helpful
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### Answers (1)

Adam on 25 Feb 2020
Edited: Adam on 25 Feb 2020
if t < t0
result = a;
else
result = b;
end
gives what you want for this simple case, provided t0, a, b and t are all passed into the function or defined at the top of the function. If it where more complicated I might suggest other methods but a simple binary threshold output works fine with an if statement.
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Adam on 26 Feb 2020
You'd need to rephrase the question to more precisely ask what you want in that case. To fulfill what you asked in the question then including a reasult of mean( [a, b] ) for t == t0 would be the only approach that is slightly less discontinuous.

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