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Characteristic function of any borel set is an example of simple Borel function

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One example of a simple Borel measurable function is the indicator function of a Borel set. This function takes the value 1 on the set and 0 outside the set, making it easy to determine its measurability with respect to the Borel sigma algebra.

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10mo ago
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Q: What is an example of a simple borel measurable function?
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