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  1. #1
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    analysis help

    Find V(x-x^2, [-1,2]) and V(cos(4PIx), [0,1]).

    I don't even know what this notation means...

    Any help??
    Last edited by friday616; October 6th 2009 at 03:59 PM.
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  2. #2
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    Quote Originally Posted by friday616 View Post
    Find V(x-x^2, [-1,2]) and V(cos(4PIx), [0,1]).

    I don't even know what this notation means...

    Any help??
    That is not a standard notation, so what follows is only a guess. I suspect that the V stands for variation. So the question is possibly asking for the total variation of the function over the given interval.

    For example, the function x-x^2 increases from 1 to 1/2, and then decreases from 1/2 to 2. So its total variation over the interval [1,2] is the amount that it increases between x=1 and x=1/2, plus the amount that it decreases between x=1/2 and x=2.
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  3. #3
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    Quote Originally Posted by friday616 View Post
    Find V(x-x^2, [-1,2]) and V(cos(4PIx), [0,1]).

    I don't even know what this notation means...

    Any help??
    If you don't know how do you expect others will know? Go and find out and then tell us, though I'd guess it may mean the Variation of the given function in the given interval. Perhaps you guys are about to enter into Riemann-Stieltjes integral or stuff?

    Tonio
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