Maurice Tutor

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    Argosy University/ Phoniex University/
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Category > Management Posted 04 Feb 2018 My Price 4.00

nonempty proper subset

Let χ S be given as in Example 3.8. Under what conditions on A and S will χ S be injective?

 

Example 3.8

Let A be a nonempty set and let S be a subset of A. We may define a function χ S : A → {0, 1} by

This function is called the characteristic function (or indicator function) of S and is widely used in probability and statistics. If S is a nonempty proper subset of A, then χ S is surjective. If S = ∅ or S = A, then χ S is not surjective.

 
 

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Maurice Tutor
(5)
Status NEW Posted 04 Feb 2018 07:02 PM My Price 4.00

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