What is the characteristic function of set? Explain it with a short note; elaborate it with not less than 2 examples.
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In mathematics, a set is a well-defined collection of distinct objects, considered as an object in its own right.[1][2] The arrangement of the objects in the set does not matter. A set may be denoted by placing its objects between a pair of curly braces. For example, the numbers 2, 4, and 6 are distinct objects when considered separately; when considered collectively, they form a single set of size three, written as {2, 4, 6}, which could also be written as {2, 6, 4}, {4, 2, 6}, {4, 6, 2}, {6, 2, 4} or {6, 4, 2}.[3] Sets can also be denoted using capital roman letters in italic.
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