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Let $$ X= \{10,5,48,9,1\} $$ We sort it, $$ Y= sort(X) $$ and Y becomes $$ Y= \{48,10,9,5,1\} $$ What should be a mathematical notation for Y= sort(X)

Asaf Karagila
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Adnan Ali
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    We don't "sort sets" since sets are unordered. ${10,5,48,9,1}$ is identically equal as a set to ${48,10,9,5,1}$. We can however choose to write or refer to the set in a canonical ordering and we do so by using our words to say so. – JMoravitz Dec 09 '22 at 13:11
  • Thank you, I did not know that. I am not deleting the question; I hope it will be useful for someone else. – Adnan Ali Dec 09 '22 at 13:16
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    Sequences can be sorted. Sets can’t. But there is no canonical notation for a sorted sequence. – lhf Dec 09 '22 at 13:43

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