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Cauchy and gradient method

  1. Aug 8, 2014 #1
  2. jcsd
  3. Aug 8, 2014 #2

    HallsofIvy

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    It was already given that X is the derivative with respect to x and so [itex]\theta X[/itex] is gives a slight change along the tangent plane in the x direction. I presume it is negative because they want to think of [itex]\theta[/itex] going to 0 as the point, [itex](x_0- \theta X, y_0- \theta Y, z_0-\theta Z)[/itex], moving toward [itex](x_0, y_0, z_0)[/itex] along the path defined by the differential equation.
     
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