How to find all variables of an expression?












5














Is there a function that can extract a list of variables in an expression?
For example, assume we have an expression



x^2+y^3+z


This expression has variables x, y and z. The result should be



{x, y, z}


. Is there a way to get this?










share|improve this question


















  • 9




    Variables command should work Variables[x^2 + y^3 + z]
    – Buddha_the_Scientist
    Dec 18 at 9:07


















5














Is there a function that can extract a list of variables in an expression?
For example, assume we have an expression



x^2+y^3+z


This expression has variables x, y and z. The result should be



{x, y, z}


. Is there a way to get this?










share|improve this question


















  • 9




    Variables command should work Variables[x^2 + y^3 + z]
    – Buddha_the_Scientist
    Dec 18 at 9:07
















5












5








5


1





Is there a function that can extract a list of variables in an expression?
For example, assume we have an expression



x^2+y^3+z


This expression has variables x, y and z. The result should be



{x, y, z}


. Is there a way to get this?










share|improve this question













Is there a function that can extract a list of variables in an expression?
For example, assume we have an expression



x^2+y^3+z


This expression has variables x, y and z. The result should be



{x, y, z}


. Is there a way to get this?







expression-manipulation






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share|improve this question










asked Dec 18 at 9:06









haoshu li

261




261








  • 9




    Variables command should work Variables[x^2 + y^3 + z]
    – Buddha_the_Scientist
    Dec 18 at 9:07
















  • 9




    Variables command should work Variables[x^2 + y^3 + z]
    – Buddha_the_Scientist
    Dec 18 at 9:07










9




9




Variables command should work Variables[x^2 + y^3 + z]
– Buddha_the_Scientist
Dec 18 at 9:07






Variables command should work Variables[x^2 + y^3 + z]
– Buddha_the_Scientist
Dec 18 at 9:07












2 Answers
2






active

oldest

votes


















7














For polynomial expressions @Buddha_the_Scientist's suggestion Variables will work. For more general expressions



expr = x^2 + y^3 + z
DeleteDuplicates@Cases[expr, _Symbol, ∞]


Should do the trick in most situations.






share|improve this answer























  • Since all symbols are on level -1, you can use {-1} , instead of [infinity].
    – Fred Simons
    Dec 18 at 11:14












  • Might want to include only symbols in the "Global`" context. I'd probably use Union instead of DeleteDuplicates to get them in canonical order.
    – Michael E2
    Dec 18 at 16:37



















2














I like the following approach x):



expr = x^2 + y^3 + z;    
Select[DeleteDuplicates@Level[expr, Depth@expr], Head[#] == Symbol &]


the result is:



{x, y, z}





share|improve this answer





















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    2 Answers
    2






    active

    oldest

    votes








    2 Answers
    2






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    7














    For polynomial expressions @Buddha_the_Scientist's suggestion Variables will work. For more general expressions



    expr = x^2 + y^3 + z
    DeleteDuplicates@Cases[expr, _Symbol, ∞]


    Should do the trick in most situations.






    share|improve this answer























    • Since all symbols are on level -1, you can use {-1} , instead of [infinity].
      – Fred Simons
      Dec 18 at 11:14












    • Might want to include only symbols in the "Global`" context. I'd probably use Union instead of DeleteDuplicates to get them in canonical order.
      – Michael E2
      Dec 18 at 16:37
















    7














    For polynomial expressions @Buddha_the_Scientist's suggestion Variables will work. For more general expressions



    expr = x^2 + y^3 + z
    DeleteDuplicates@Cases[expr, _Symbol, ∞]


    Should do the trick in most situations.






    share|improve this answer























    • Since all symbols are on level -1, you can use {-1} , instead of [infinity].
      – Fred Simons
      Dec 18 at 11:14












    • Might want to include only symbols in the "Global`" context. I'd probably use Union instead of DeleteDuplicates to get them in canonical order.
      – Michael E2
      Dec 18 at 16:37














    7












    7








    7






    For polynomial expressions @Buddha_the_Scientist's suggestion Variables will work. For more general expressions



    expr = x^2 + y^3 + z
    DeleteDuplicates@Cases[expr, _Symbol, ∞]


    Should do the trick in most situations.






    share|improve this answer














    For polynomial expressions @Buddha_the_Scientist's suggestion Variables will work. For more general expressions



    expr = x^2 + y^3 + z
    DeleteDuplicates@Cases[expr, _Symbol, ∞]


    Should do the trick in most situations.







    share|improve this answer














    share|improve this answer



    share|improve this answer








    edited Dec 18 at 16:29









    Henrik Schumacher

    48.7k467139




    48.7k467139










    answered Dec 18 at 9:36









    mmeent

    2,099614




    2,099614












    • Since all symbols are on level -1, you can use {-1} , instead of [infinity].
      – Fred Simons
      Dec 18 at 11:14












    • Might want to include only symbols in the "Global`" context. I'd probably use Union instead of DeleteDuplicates to get them in canonical order.
      – Michael E2
      Dec 18 at 16:37


















    • Since all symbols are on level -1, you can use {-1} , instead of [infinity].
      – Fred Simons
      Dec 18 at 11:14












    • Might want to include only symbols in the "Global`" context. I'd probably use Union instead of DeleteDuplicates to get them in canonical order.
      – Michael E2
      Dec 18 at 16:37
















    Since all symbols are on level -1, you can use {-1} , instead of [infinity].
    – Fred Simons
    Dec 18 at 11:14






    Since all symbols are on level -1, you can use {-1} , instead of [infinity].
    – Fred Simons
    Dec 18 at 11:14














    Might want to include only symbols in the "Global`" context. I'd probably use Union instead of DeleteDuplicates to get them in canonical order.
    – Michael E2
    Dec 18 at 16:37




    Might want to include only symbols in the "Global`" context. I'd probably use Union instead of DeleteDuplicates to get them in canonical order.
    – Michael E2
    Dec 18 at 16:37











    2














    I like the following approach x):



    expr = x^2 + y^3 + z;    
    Select[DeleteDuplicates@Level[expr, Depth@expr], Head[#] == Symbol &]


    the result is:



    {x, y, z}





    share|improve this answer


























      2














      I like the following approach x):



      expr = x^2 + y^3 + z;    
      Select[DeleteDuplicates@Level[expr, Depth@expr], Head[#] == Symbol &]


      the result is:



      {x, y, z}





      share|improve this answer
























        2












        2








        2






        I like the following approach x):



        expr = x^2 + y^3 + z;    
        Select[DeleteDuplicates@Level[expr, Depth@expr], Head[#] == Symbol &]


        the result is:



        {x, y, z}





        share|improve this answer












        I like the following approach x):



        expr = x^2 + y^3 + z;    
        Select[DeleteDuplicates@Level[expr, Depth@expr], Head[#] == Symbol &]


        the result is:



        {x, y, z}






        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered Dec 18 at 16:58









        Xminer

        526




        526






























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