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What is the function of the villain set?

Updated: 12/24/2022
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Conniedelaney78335

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Q: What is the function of the villain set?
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One may smile and smile and smile and still be villain?

Said by Hamlet in Act 1, Scene 5: "...O villain, villain, smiling, damned villain! My tables,--meet it is I set it down, That one may smile, and smile, and be a villain; At least I'm sure it may be so in Denmark..." http://www.online-literature.com/shakespeare/hamlet/6/


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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.