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Math Help - Help with "vee" proof?

  1. #1
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    Help with "vee" proof?

    I'm not even sure what the technical name is for this function, so I couldn't search for any previous posts about it.

    Anyway, I have to prove that (f \vee g)(x) = (1/2)*(f+g)(x) + (1/2)*|(f-g)(x)|

    Any help on this? I don't really even know how to begin this...
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  2. #2
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    Quote Originally Posted by paupsers View Post
    I'm not even sure what the technical name is for this function, so I couldn't search for any previous posts about it.

    Anyway, I have to prove that (f \vee g)(x) = (1/2)*(f+g)(x) + (1/2)*|(f-g)(x)|

    Any help on this? I don't really even know how to begin this...
    This 'vee' function is just evaluates both functions f and g at the point x and tells you which is greater. Also known as a max function.

    For help with the proof first note that |a-b| = max(a,b) - min(a,b).

    Good luck.
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