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Total variation

  1. Feb 22, 2012 #1
    Total variation is defined by

    [tex]\Delta f=\delta f+\Delta x[/tex]

    For example [tex]f(x,y)=yx[/tex], [tex]y=y(x)[/tex]

    [tex]\Delta f=x\delta y+\Delta x[/tex]

    How is defined [tex]\Delta x[/tex]. Is that rate of change of x, while y is constant?
  2. jcsd
  3. Feb 22, 2012 #2


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    Science Advisor

    Hey matematikuvol.

    The best way to think about Δx is basically a delta. If Δx = dx then we would be referencing an infinitesimal, but otherwise it is going to be some small non-infinitesimal number.

    This might help you out:

  4. Feb 23, 2012 #3
    What's difference between total derivative, and total variation?
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