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How is $I_{[0,\infty)}(t)$ defined? This must be a notation in probabilty theory.

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    It's likely an indicator function: it has value 1 on $[0,\infty)$ and 0 on $(-\infty,0)$.2012-07-04
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    Although indicator functions come up in probability, it doesn't seem that an indicator over an infinite interval would come up.2012-07-04

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