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Math Help - Variation of Gauss' Theorem

  1. #1
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    Variation of Gauss' Theorem

    How do I show the following,
    If U is a smooth scalar field and N is a unit normal then
    SSS grad(U) dV = SS (U)N dS (Note the S's at the beginning are integral signs.) ?

    I have to apply the Divergence Theorem (Gauss' Theorem) to F=Uc where c is an arbitrary constant vector to get the above identity.

    How do I go about solving this?
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  2. #2
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    Quote Originally Posted by Five Star View Post
    How do I show the following,
    If U is a smooth scalar field and N is a unit normal then
    SSS grad(U) dV = SS (U)N dS (Note the S's at the beginning are integral signs.) ?
    Look below. (This type of math seriously makes you look cool. Eventhough it is not as hard as it seems).

    I have to apply the Divergence Theorem (Gauss' Theorem) to F=Uc where c is an arbitrary constant vector to get the above identity.

    How do I go about solving this?
    Is this a seperate question?
    Attached Thumbnails Attached Thumbnails Variation of Gauss' Theorem-picture8.gif  
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by ThePerfectHacker View Post
    This type of math seriously makes you look cool.
    You're right about that!
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  4. #4
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    Quote Originally Posted by Jhevon View Post
    You're right about that!
    Actually I made look a little bit cooler.

    The Integral with a circle through them should not be there because I am considering a special case. Without them what I wrote will be even more general.
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