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Using Thread to map a two variable function


Nested Map and ApplyUsing MapIndexed only at certain elements of a listHow to use Map inside MapThread?Function output of two lists are only diagonal elementsUse map on a different levelHow to Map a function with HoldAll attributeHow to map a function on a variable listMapping a simple 2 variable function






.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;








1












$begingroup$


I have the following function:



magicFunction[ lst_, val_ ] := Fold[ ((#2 < val) && #1) &, True, lst ]


It works



In[]=:magicFunction[6,7,9] 
Out[]= True


I want to Map the function. To do it I use Thread.



If I use Thread for a noname function with the list I want to map, the following is produced:



In[]:= Thread[f[6,7,2,3,1,2,9, 10,5]]
Out[]= f[6,7,9],f[2,3,10],f[1,2,5]


That is exactly what I want to do.



However, when I use magicFunction that is not what I get. If I use magicFunction I should get the following:



Out[]:= magicFunction[6,7,9],magicFunction[2,3,10],magicFunction[1,2,5]


which then evaluates to:



Out[]:= True, True, True


However what I get is the following:



In[]:= Thread[magicFunction[6,7,2,3,1,2,9, 10,5]]

Out[]:= 1,2<9,10,5&&2,3<9,10,5&&6,7<9,10,5


Does anybody know what I m doing wrong?



Thanks in advance!










share|improve this question









New contributor



Mavatanet is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






$endgroup$




















    1












    $begingroup$


    I have the following function:



    magicFunction[ lst_, val_ ] := Fold[ ((#2 < val) && #1) &, True, lst ]


    It works



    In[]=:magicFunction[6,7,9] 
    Out[]= True


    I want to Map the function. To do it I use Thread.



    If I use Thread for a noname function with the list I want to map, the following is produced:



    In[]:= Thread[f[6,7,2,3,1,2,9, 10,5]]
    Out[]= f[6,7,9],f[2,3,10],f[1,2,5]


    That is exactly what I want to do.



    However, when I use magicFunction that is not what I get. If I use magicFunction I should get the following:



    Out[]:= magicFunction[6,7,9],magicFunction[2,3,10],magicFunction[1,2,5]


    which then evaluates to:



    Out[]:= True, True, True


    However what I get is the following:



    In[]:= Thread[magicFunction[6,7,2,3,1,2,9, 10,5]]

    Out[]:= 1,2<9,10,5&&2,3<9,10,5&&6,7<9,10,5


    Does anybody know what I m doing wrong?



    Thanks in advance!










    share|improve this question









    New contributor



    Mavatanet is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.






    $endgroup$
















      1












      1








      1





      $begingroup$


      I have the following function:



      magicFunction[ lst_, val_ ] := Fold[ ((#2 < val) && #1) &, True, lst ]


      It works



      In[]=:magicFunction[6,7,9] 
      Out[]= True


      I want to Map the function. To do it I use Thread.



      If I use Thread for a noname function with the list I want to map, the following is produced:



      In[]:= Thread[f[6,7,2,3,1,2,9, 10,5]]
      Out[]= f[6,7,9],f[2,3,10],f[1,2,5]


      That is exactly what I want to do.



      However, when I use magicFunction that is not what I get. If I use magicFunction I should get the following:



      Out[]:= magicFunction[6,7,9],magicFunction[2,3,10],magicFunction[1,2,5]


      which then evaluates to:



      Out[]:= True, True, True


      However what I get is the following:



      In[]:= Thread[magicFunction[6,7,2,3,1,2,9, 10,5]]

      Out[]:= 1,2<9,10,5&&2,3<9,10,5&&6,7<9,10,5


      Does anybody know what I m doing wrong?



      Thanks in advance!










      share|improve this question









      New contributor



      Mavatanet is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      $endgroup$




      I have the following function:



      magicFunction[ lst_, val_ ] := Fold[ ((#2 < val) && #1) &, True, lst ]


      It works



      In[]=:magicFunction[6,7,9] 
      Out[]= True


      I want to Map the function. To do it I use Thread.



      If I use Thread for a noname function with the list I want to map, the following is produced:



      In[]:= Thread[f[6,7,2,3,1,2,9, 10,5]]
      Out[]= f[6,7,9],f[2,3,10],f[1,2,5]


      That is exactly what I want to do.



      However, when I use magicFunction that is not what I get. If I use magicFunction I should get the following:



      Out[]:= magicFunction[6,7,9],magicFunction[2,3,10],magicFunction[1,2,5]


      which then evaluates to:



      Out[]:= True, True, True


      However what I get is the following:



      In[]:= Thread[magicFunction[6,7,2,3,1,2,9, 10,5]]

      Out[]:= 1,2<9,10,5&&2,3<9,10,5&&6,7<9,10,5


      Does anybody know what I m doing wrong?



      Thanks in advance!







      map






      share|improve this question









      New contributor



      Mavatanet is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.










      share|improve this question









      New contributor



      Mavatanet is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.








      share|improve this question




      share|improve this question








      edited 7 hours ago









      Carl Woll

      89.6k3 gold badges117 silver badges229 bronze badges




      89.6k3 gold badges117 silver badges229 bronze badges






      New contributor



      Mavatanet is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.








      asked 8 hours ago









      MavatanetMavatanet

      511 bronze badge




      511 bronze badge




      New contributor



      Mavatanet is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.




      New contributor




      Mavatanet is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.

























          2 Answers
          2






          active

          oldest

          votes


















          3














          $begingroup$

          Your issue is that magicFunction evaluated before Thread could do anything. One idea to avoid this is to use Unevaluated:



          Thread[Unevaluated @ magicFunction[6,7,2,3,1,2,9,10,5]]



          True, True, True




          Another idea is to add an argument restriction to your magicFunction. Since Less only makes sense for numeric quantities, you can use:



          Clear[magicFunction]
          magicFunction[lst_, val_?NumericQ] := Fold[((#2<val)&&#1)&,True,lst]


          Then:



          Thread[magicFunction[6,7,2,3,1,2,9,10,5]]



          True, True, True







          share|improve this answer









          $endgroup$






















            3














            $begingroup$

            You can use MapThread:



            MapThread[magicFunction, 6, 7, 2, 3, 1, 2, 9, 10, 5]



            True, True, True







            share|improve this answer











            $endgroup$

















              Your Answer








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              2 Answers
              2






              active

              oldest

              votes








              2 Answers
              2






              active

              oldest

              votes









              active

              oldest

              votes






              active

              oldest

              votes









              3














              $begingroup$

              Your issue is that magicFunction evaluated before Thread could do anything. One idea to avoid this is to use Unevaluated:



              Thread[Unevaluated @ magicFunction[6,7,2,3,1,2,9,10,5]]



              True, True, True




              Another idea is to add an argument restriction to your magicFunction. Since Less only makes sense for numeric quantities, you can use:



              Clear[magicFunction]
              magicFunction[lst_, val_?NumericQ] := Fold[((#2<val)&&#1)&,True,lst]


              Then:



              Thread[magicFunction[6,7,2,3,1,2,9,10,5]]



              True, True, True







              share|improve this answer









              $endgroup$



















                3














                $begingroup$

                Your issue is that magicFunction evaluated before Thread could do anything. One idea to avoid this is to use Unevaluated:



                Thread[Unevaluated @ magicFunction[6,7,2,3,1,2,9,10,5]]



                True, True, True




                Another idea is to add an argument restriction to your magicFunction. Since Less only makes sense for numeric quantities, you can use:



                Clear[magicFunction]
                magicFunction[lst_, val_?NumericQ] := Fold[((#2<val)&&#1)&,True,lst]


                Then:



                Thread[magicFunction[6,7,2,3,1,2,9,10,5]]



                True, True, True







                share|improve this answer









                $endgroup$

















                  3














                  3










                  3







                  $begingroup$

                  Your issue is that magicFunction evaluated before Thread could do anything. One idea to avoid this is to use Unevaluated:



                  Thread[Unevaluated @ magicFunction[6,7,2,3,1,2,9,10,5]]



                  True, True, True




                  Another idea is to add an argument restriction to your magicFunction. Since Less only makes sense for numeric quantities, you can use:



                  Clear[magicFunction]
                  magicFunction[lst_, val_?NumericQ] := Fold[((#2<val)&&#1)&,True,lst]


                  Then:



                  Thread[magicFunction[6,7,2,3,1,2,9,10,5]]



                  True, True, True







                  share|improve this answer









                  $endgroup$



                  Your issue is that magicFunction evaluated before Thread could do anything. One idea to avoid this is to use Unevaluated:



                  Thread[Unevaluated @ magicFunction[6,7,2,3,1,2,9,10,5]]



                  True, True, True




                  Another idea is to add an argument restriction to your magicFunction. Since Less only makes sense for numeric quantities, you can use:



                  Clear[magicFunction]
                  magicFunction[lst_, val_?NumericQ] := Fold[((#2<val)&&#1)&,True,lst]


                  Then:



                  Thread[magicFunction[6,7,2,3,1,2,9,10,5]]



                  True, True, True








                  share|improve this answer












                  share|improve this answer



                  share|improve this answer










                  answered 7 hours ago









                  Carl WollCarl Woll

                  89.6k3 gold badges117 silver badges229 bronze badges




                  89.6k3 gold badges117 silver badges229 bronze badges


























                      3














                      $begingroup$

                      You can use MapThread:



                      MapThread[magicFunction, 6, 7, 2, 3, 1, 2, 9, 10, 5]



                      True, True, True







                      share|improve this answer











                      $endgroup$



















                        3














                        $begingroup$

                        You can use MapThread:



                        MapThread[magicFunction, 6, 7, 2, 3, 1, 2, 9, 10, 5]



                        True, True, True







                        share|improve this answer











                        $endgroup$

















                          3














                          3










                          3







                          $begingroup$

                          You can use MapThread:



                          MapThread[magicFunction, 6, 7, 2, 3, 1, 2, 9, 10, 5]



                          True, True, True







                          share|improve this answer











                          $endgroup$



                          You can use MapThread:



                          MapThread[magicFunction, 6, 7, 2, 3, 1, 2, 9, 10, 5]



                          True, True, True








                          share|improve this answer














                          share|improve this answer



                          share|improve this answer








                          edited 7 hours ago

























                          answered 8 hours ago









                          kglrkglr

                          215k10 gold badges246 silver badges492 bronze badges




                          215k10 gold badges246 silver badges492 bronze badges























                              Mavatanet is a new contributor. Be nice, and check out our Code of Conduct.









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                              Mavatanet is a new contributor. Be nice, and check out our Code of Conduct.












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