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Subtracting functions on specified domains

  1. Nov 28, 2014 #1
  2. jcsd
  3. Nov 28, 2014 #2

    pwsnafu

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    Edit: I think I misread.
    I need clarification. Do you mean f(x) is defined on more than [b,c], or f has domain [b,c]
     
  4. Nov 28, 2014 #3
    both f(x) and g(x) have values outside of the defined domains, but I want to only consider the values within their respective defined domains.

    I'll be using this in some software, so maybe it's best that I constrain the domains within the software instead of in the math, but I wanted to get all possible approaches before committing to a single answer.
     
  5. Nov 28, 2014 #4

    pwsnafu

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    Okay that part is easy.
    Define new functions F and G where
    ##F(x) = f(x)## if ##x \in [b,c]## and ##F(x) = 0## elsewhere.
    Do the same with G.

    Second question: do we know ##[b,c] \subset [a,d]##?
     
  6. Nov 28, 2014 #5
    Thank you very much! This is familiar.

    To your second question, the domains will vary according to circumstance. For this case we can use a = 1, b = 2, c = 3, d = 4. But they will change many, many times.
     
  7. Nov 28, 2014 #6
    Actually, I think the programming solution would be the same as the math solution. As you say, f(x) if x∈[b,c] and F(x)=0 elsewhere, and the same for g(x). This is normal if/then scenario.

    I know how I can do this! Thanks for helping me think through it.
     
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