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Comparametric equation
also called Comparametric

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  1. an equation that describes a parametric relationship between a function and a dilated version of the same function, where the equation does not involve the parameter

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  2. For example, f(2t) = 4f(t) is a comparametric equation, when we define g(t) = f(2t), so that we have g = 4f no longer contains the parameter, t

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  3. = 4f has a family of solutions, one of which is f = t2

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  4. To see that f = t2 is a solution, we merely substitute back in: g = f(2t) = (2t)2 = 4t2 = 4f, so that g = 4f

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  5. equations arise naturally in signal processing when we have multiple measurements of the same phenomenon, in which each of the measurements was acquired using a different sensitivity

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
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