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Dan Zuras Intervals wrote:
Do people actually try to derive point functions from interval valued functions by calling them with singleton intervals?
Yes. This is important, and routinely used (e.g., in centered forms).To get a verified interval containing the function value at a given point, one _must_ evaluate it in interval arithmetic with a point argument. (Thus, if the result is empty, it is known that the function is undefined there.)
Arnold Neumaier