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Math Help - Mathematical notation for clipping

  1. #1
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    Mathematical notation for clipping

    Is there a standard mathematical notation for restricting a scalar or an array of scalars to a range? I'm wanting to document a mathematical model that relies on value clipping such as that implemented by Python/numpy's 'clip' function (numpy.clip — NumPy v1.8.dev-63cd8f3 Manual (DRAFT)).

    Cheers,

    Will
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  2. #2
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    Re: Mathematical notation for clipping

    I don't think there is a standard notation, A Ph.D. dissertation I am reading introduces the notation a^{\bot b} for min(a, b) (i.e., a, but not higher than b) and a_{\top b} for max(a, b) (a, but not lower than b). Correspondingly, a^{\bot c}_{\top b} is either min(max(a, b), c) or max(min(a, c), b), which are the same thing when b <= c.
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  3. #3
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    Re: Mathematical notation for clipping

    Thanks emakarov, that looks like a sensible notation.
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