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Correct formulation of all unordered subindeces


Is there a common notation of the power set excluding the empty set?Standard notation for the the collection of all *minimal* elements of the set of all upper bounds?Notation for all permutations of a setIs there notation for the set of all odd positive integers?Set Notation help?Notation for all sets with a given cardinalityLogical union of groupsNotation for repeated application of operatorNotation for product measure of a sequence of meauresWhat is the correct notation to denote the ordered/unordered concatenation of two strings?













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$begingroup$


Suppose we have an index set $1, dots, n$. Now I want to take all the subindices. For example, if the set $1, 2, 3$, I want to a collection of $1, 2, 3, 1, 2, 2, 3, 1, 3, 1, 2, 3$. At first, I want to denote this collection as the power set as $2^1, dots, n$, but in this case, I need to take out the empty set and also equivalently identity the set under permutation.



What is a compact notation for my situation?










share|cite|improve this question









$endgroup$
















    0












    $begingroup$


    Suppose we have an index set $1, dots, n$. Now I want to take all the subindices. For example, if the set $1, 2, 3$, I want to a collection of $1, 2, 3, 1, 2, 2, 3, 1, 3, 1, 2, 3$. At first, I want to denote this collection as the power set as $2^1, dots, n$, but in this case, I need to take out the empty set and also equivalently identity the set under permutation.



    What is a compact notation for my situation?










    share|cite|improve this question









    $endgroup$














      0












      0








      0





      $begingroup$


      Suppose we have an index set $1, dots, n$. Now I want to take all the subindices. For example, if the set $1, 2, 3$, I want to a collection of $1, 2, 3, 1, 2, 2, 3, 1, 3, 1, 2, 3$. At first, I want to denote this collection as the power set as $2^1, dots, n$, but in this case, I need to take out the empty set and also equivalently identity the set under permutation.



      What is a compact notation for my situation?










      share|cite|improve this question









      $endgroup$




      Suppose we have an index set $1, dots, n$. Now I want to take all the subindices. For example, if the set $1, 2, 3$, I want to a collection of $1, 2, 3, 1, 2, 2, 3, 1, 3, 1, 2, 3$. At first, I want to denote this collection as the power set as $2^1, dots, n$, but in this case, I need to take out the empty set and also equivalently identity the set under permutation.



      What is a compact notation for my situation?







      soft-question notation






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Mar 12 at 20:10









      MyCindy2012MyCindy2012

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