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light of these two examples, we can reject the following candidate definitions in favour of the one in the next section:
# We could remove the points where is zero, and take the support to be the remainder This might work for the Dirac measure but it would definitely not work for since the Lebesgue measure of any singleton is zero, this definition would give empty support.
# By comparison with the notion of strict positivity of measures, we could take the support to be the set

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