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Math Help - How would I express this scenario Mathematically

  1. #1
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    How would I express this scenario Mathematically

    Hello , I was hoping the experts here could help me out on this.
    Suppose that i have an expression like. (I am simplifying the scenario)
    t1+t2+t3+t4+t5+t6
    The t in the expression represents time interval. t1 might have some value in seconds and similarly t2 might have some value.
    I know the above expression can be expressed as
    How would I express this scenario Mathematically-sum.png
    Now is there a way to modify the above expression or another way to express something like "Out of the 6 , only include those t values that have a value greater than 5 seconds"
    For example . Suppose - t1=2 sec , t2=8 sec , t3=1 sec, t4=0 sec , t5=10sec , t6=12 sec
    So the expression would only be
    t2+ t5 + t6

    Any suggestions would be appreciated. Thanks
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  2. #2
    Junior Member
    Joined
    Jun 2011
    Posts
    45

    Re: How would I express this scenario Mathematically

    I'm not exactly sure how to write it, but you might be able to use an indicator function. It could be set up as a binary that would multiply any values less than 5 by zero, so they aren't counted, and any values over 5 by one, so they are included. If you Google around, you might be able to find an example. I can't find one right now.

    Do you mind me asking what the broader context of this question is?
    Last edited by jsndacruz; April 16th 2012 at 08:40 AM. Reason: spelling
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