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Bipolarity
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I am a bit confused on the difference between the two. Different sources are giving me different results, so I suppose it depends on context. According to some sources, they are the same thing. According to others, the empty set is a set containing no elements, represented by ∅ whereas the null set is any set of measure 0, i.e. having finitely many elements.
My context in asking this question is in proving something about the Laplace transform:
If there is some [itex]a \in ℝ [/itex] for which [itex] \mathcal{L}(f(t)) = \mathcal{L}(g(t)) [/itex] on [itex](a,∞)[/itex], then the set of points t on [itex][0,∞) [/itex]for which [itex]f(t)≠g(t) [/itex] is a null set.
Thanks!
BiP
My context in asking this question is in proving something about the Laplace transform:
If there is some [itex]a \in ℝ [/itex] for which [itex] \mathcal{L}(f(t)) = \mathcal{L}(g(t)) [/itex] on [itex](a,∞)[/itex], then the set of points t on [itex][0,∞) [/itex]for which [itex]f(t)≠g(t) [/itex] is a null set.
Thanks!
BiP