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What are the differences between empty set, zero set and null set?
If i'm right empty set and null set is the same which is {} but zero set is {0} ?
2 Answers
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The null set, also known as empty set, is the set containing no elements, denoted by $\emptyset$ or {}
The zero set of of a real-valued function f : X → R is the subset of X on which f(x) = 0.
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One could say that "zero set" is both defined and declared, but "null set" and "empty set" are only defined.
