Select certain terms in an expression












4















I would like to have a function to select terms containing q[i] terms in expressions, for example, for an expression



a q[i]+b +c q[j]+d


I would like the function to return



a q[i]+c q[j]


as result. Also at the same time, for a bare



q[i]


the same function would return



q[i]


How to realize such function? Thanks










share|improve this question





























    4















    I would like to have a function to select terms containing q[i] terms in expressions, for example, for an expression



    a q[i]+b +c q[j]+d


    I would like the function to return



    a q[i]+c q[j]


    as result. Also at the same time, for a bare



    q[i]


    the same function would return



    q[i]


    How to realize such function? Thanks










    share|improve this question



























      4












      4








      4








      I would like to have a function to select terms containing q[i] terms in expressions, for example, for an expression



      a q[i]+b +c q[j]+d


      I would like the function to return



      a q[i]+c q[j]


      as result. Also at the same time, for a bare



      q[i]


      the same function would return



      q[i]


      How to realize such function? Thanks










      share|improve this question
















      I would like to have a function to select terms containing q[i] terms in expressions, for example, for an expression



      a q[i]+b +c q[j]+d


      I would like the function to return



      a q[i]+c q[j]


      as result. Also at the same time, for a bare



      q[i]


      the same function would return



      q[i]


      How to realize such function? Thanks







      pattern-matching filtering






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited yesterday







      XiaoaiX

















      asked yesterday









      XiaoaiXXiaoaiX

      1105




      1105






















          2 Answers
          2






          active

          oldest

          votes


















          3














          expr = a q[i] + b + c q[j] + d;
          f = DeleteCases[#, Except[_. _q], If[Head[#] === q, 0, 1]] &
          f @ expr



          a q[i] + c q[j]




          f @ q[i]



          q[i]




          Alternatively,



          f2 = Select[#, Function[x, If[Head@# === q, True, Not @ FreeQ[x, _q]]]] &;
          f2 @ expr



          a q[i] + c q[j]




          f2 @ q[i]



          q[i]







          share|improve this answer


























          • This realize the first requirement, but for the bare $q[i]$, it returns $q$

            – XiaoaiX
            yesterday











          • @XiaoaiX, I will update if i find a fix.

            – kglr
            yesterday











          • thanks, from your answer, I also got confused about how the Select and Cases handle the List argument, see the question I just post here mathematica.stackexchange.com/questions/189270/…

            – XiaoaiX
            yesterday





















          3














          A pattern-based approach.



          fn[x_. y_q + z_.] := x y + fn[z]
          _fn = 0;

          a q[i] + b + c q[j] + d // fn

          q[i] // fn



          a q[i] + c q[j]

          q[i]






          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









            3














            expr = a q[i] + b + c q[j] + d;
            f = DeleteCases[#, Except[_. _q], If[Head[#] === q, 0, 1]] &
            f @ expr



            a q[i] + c q[j]




            f @ q[i]



            q[i]




            Alternatively,



            f2 = Select[#, Function[x, If[Head@# === q, True, Not @ FreeQ[x, _q]]]] &;
            f2 @ expr



            a q[i] + c q[j]




            f2 @ q[i]



            q[i]







            share|improve this answer


























            • This realize the first requirement, but for the bare $q[i]$, it returns $q$

              – XiaoaiX
              yesterday











            • @XiaoaiX, I will update if i find a fix.

              – kglr
              yesterday











            • thanks, from your answer, I also got confused about how the Select and Cases handle the List argument, see the question I just post here mathematica.stackexchange.com/questions/189270/…

              – XiaoaiX
              yesterday


















            3














            expr = a q[i] + b + c q[j] + d;
            f = DeleteCases[#, Except[_. _q], If[Head[#] === q, 0, 1]] &
            f @ expr



            a q[i] + c q[j]




            f @ q[i]



            q[i]




            Alternatively,



            f2 = Select[#, Function[x, If[Head@# === q, True, Not @ FreeQ[x, _q]]]] &;
            f2 @ expr



            a q[i] + c q[j]




            f2 @ q[i]



            q[i]







            share|improve this answer


























            • This realize the first requirement, but for the bare $q[i]$, it returns $q$

              – XiaoaiX
              yesterday











            • @XiaoaiX, I will update if i find a fix.

              – kglr
              yesterday











            • thanks, from your answer, I also got confused about how the Select and Cases handle the List argument, see the question I just post here mathematica.stackexchange.com/questions/189270/…

              – XiaoaiX
              yesterday
















            3












            3








            3







            expr = a q[i] + b + c q[j] + d;
            f = DeleteCases[#, Except[_. _q], If[Head[#] === q, 0, 1]] &
            f @ expr



            a q[i] + c q[j]




            f @ q[i]



            q[i]




            Alternatively,



            f2 = Select[#, Function[x, If[Head@# === q, True, Not @ FreeQ[x, _q]]]] &;
            f2 @ expr



            a q[i] + c q[j]




            f2 @ q[i]



            q[i]







            share|improve this answer















            expr = a q[i] + b + c q[j] + d;
            f = DeleteCases[#, Except[_. _q], If[Head[#] === q, 0, 1]] &
            f @ expr



            a q[i] + c q[j]




            f @ q[i]



            q[i]




            Alternatively,



            f2 = Select[#, Function[x, If[Head@# === q, True, Not @ FreeQ[x, _q]]]] &;
            f2 @ expr



            a q[i] + c q[j]




            f2 @ q[i]



            q[i]








            share|improve this answer














            share|improve this answer



            share|improve this answer








            edited yesterday

























            answered yesterday









            kglrkglr

            178k9198409




            178k9198409













            • This realize the first requirement, but for the bare $q[i]$, it returns $q$

              – XiaoaiX
              yesterday











            • @XiaoaiX, I will update if i find a fix.

              – kglr
              yesterday











            • thanks, from your answer, I also got confused about how the Select and Cases handle the List argument, see the question I just post here mathematica.stackexchange.com/questions/189270/…

              – XiaoaiX
              yesterday





















            • This realize the first requirement, but for the bare $q[i]$, it returns $q$

              – XiaoaiX
              yesterday











            • @XiaoaiX, I will update if i find a fix.

              – kglr
              yesterday











            • thanks, from your answer, I also got confused about how the Select and Cases handle the List argument, see the question I just post here mathematica.stackexchange.com/questions/189270/…

              – XiaoaiX
              yesterday



















            This realize the first requirement, but for the bare $q[i]$, it returns $q$

            – XiaoaiX
            yesterday





            This realize the first requirement, but for the bare $q[i]$, it returns $q$

            – XiaoaiX
            yesterday













            @XiaoaiX, I will update if i find a fix.

            – kglr
            yesterday





            @XiaoaiX, I will update if i find a fix.

            – kglr
            yesterday













            thanks, from your answer, I also got confused about how the Select and Cases handle the List argument, see the question I just post here mathematica.stackexchange.com/questions/189270/…

            – XiaoaiX
            yesterday







            thanks, from your answer, I also got confused about how the Select and Cases handle the List argument, see the question I just post here mathematica.stackexchange.com/questions/189270/…

            – XiaoaiX
            yesterday













            3














            A pattern-based approach.



            fn[x_. y_q + z_.] := x y + fn[z]
            _fn = 0;

            a q[i] + b + c q[j] + d // fn

            q[i] // fn



            a q[i] + c q[j]

            q[i]






            share|improve this answer




























              3














              A pattern-based approach.



              fn[x_. y_q + z_.] := x y + fn[z]
              _fn = 0;

              a q[i] + b + c q[j] + d // fn

              q[i] // fn



              a q[i] + c q[j]

              q[i]






              share|improve this answer


























                3












                3








                3







                A pattern-based approach.



                fn[x_. y_q + z_.] := x y + fn[z]
                _fn = 0;

                a q[i] + b + c q[j] + d // fn

                q[i] // fn



                a q[i] + c q[j]

                q[i]






                share|improve this answer













                A pattern-based approach.



                fn[x_. y_q + z_.] := x y + fn[z]
                _fn = 0;

                a q[i] + b + c q[j] + d // fn

                q[i] // fn



                a q[i] + c q[j]

                q[i]







                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered yesterday









                Mr.WizardMr.Wizard

                230k294741040




                230k294741040






























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