Finding items satisfying a condition in a list using patterns

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Why the following command



Cases[1, 2, 6, 3, 4, 8, 5, x_, y_, z_ /; (y > Max[x, z]):>y]


doesn't return the y values that are greater than their neighbors in the list?
I am expecting to have an output like 6,8.






pattern-matching cases







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  • For this question, I want to know how can I do it using patterns and I am not looking for alternative solutions.
    – The Legend of 1991
    2 hours ago














up vote
1
down vote

favorite












Why the following command



Cases[1, 2, 6, 3, 4, 8, 5, x_, y_, z_ /; (y > Max[x, z]):>y]


doesn't return the y values that are greater than their neighbors in the list?
I am expecting to have an output like 6,8.






pattern-matching cases







share|improve this question









New contributor




The Legend of 1991 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.



















  • For this question, I want to know how can I do it using patterns and I am not looking for alternative solutions.
    – The Legend of 1991
    2 hours ago












up vote
1
down vote

favorite









up vote
1
down vote

favorite











Why the following command



Cases[1, 2, 6, 3, 4, 8, 5, x_, y_, z_ /; (y > Max[x, z]):>y]


doesn't return the y values that are greater than their neighbors in the list?
I am expecting to have an output like 6,8.






pattern-matching cases







share|improve this question









New contributor




The Legend of 1991 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











Why the following command



Cases[1, 2, 6, 3, 4, 8, 5, x_, y_, z_ /; (y > Max[x, z]):>y]


doesn't return the y values that are greater than their neighbors in the list?
I am expecting to have an output like 6,8.






pattern-matching cases




pattern-matching cases






share|improve this question









New contributor




The Legend of 1991 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




The Legend of 1991 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 2 hours ago









Henrik Schumacher

40.2k255120




40.2k255120






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The Legend of 1991 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked 2 hours ago









The Legend of 1991

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202




New contributor




The Legend of 1991 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





The Legend of 1991 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






The Legend of 1991 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











  • For this question, I want to know how can I do it using patterns and I am not looking for alternative solutions.
    – The Legend of 1991
    2 hours ago
















  • For this question, I want to know how can I do it using patterns and I am not looking for alternative solutions.
    – The Legend of 1991
    2 hours ago















For this question, I want to know how can I do it using patterns and I am not looking for alternative solutions.
– The Legend of 1991
2 hours ago




For this question, I want to know how can I do it using patterns and I am not looking for alternative solutions.
– The Legend of 1991
2 hours ago










1 Answer
1






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up vote
3
down vote



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There are no Lists of length 3 in the input at level 1. So Cases cannot find anything. However SequenceCases can because it interprets lists as sequences.



SequenceCases[
 1, 2, 6, 3, 4, 8, 5, 
 x_, y_, z_ /; (y > Max[x, z]) :> y, 
 Overlaps -> True
 ]



6, 8







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    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes








    up vote
    3
    down vote



    accepted










    There are no Lists of length 3 in the input at level 1. So Cases cannot find anything. However SequenceCases can because it interprets lists as sequences.



    SequenceCases[
     1, 2, 6, 3, 4, 8, 5, 
     x_, y_, z_ /; (y > Max[x, z]) :> y, 
     Overlaps -> True
     ]



    6, 8







    share|improve this answer
























      up vote
      3
      down vote



      accepted










      There are no Lists of length 3 in the input at level 1. So Cases cannot find anything. However SequenceCases can because it interprets lists as sequences.



      SequenceCases[
       1, 2, 6, 3, 4, 8, 5, 
       x_, y_, z_ /; (y > Max[x, z]) :> y, 
       Overlaps -> True
       ]



      6, 8







      share|improve this answer






















        up vote
        3
        down vote



        accepted







        up vote
        3
        down vote



        accepted






        There are no Lists of length 3 in the input at level 1. So Cases cannot find anything. However SequenceCases can because it interprets lists as sequences.



        SequenceCases[
         1, 2, 6, 3, 4, 8, 5, 
         x_, y_, z_ /; (y > Max[x, z]) :> y, 
         Overlaps -> True
         ]



        6, 8







        share|improve this answer












        There are no Lists of length 3 in the input at level 1. So Cases cannot find anything. However SequenceCases can because it interprets lists as sequences.



        SequenceCases[
         1, 2, 6, 3, 4, 8, 5, 
         x_, y_, z_ /; (y > Max[x, z]) :> y, 
         Overlaps -> True
         ]



        6, 8








        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered 2 hours ago









        Henrik Schumacher

        40.2k255120




        40.2k255120




















            The Legend of 1991 is a new contributor. Be nice, and check out our Code of Conduct.









             

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