Selecting parts of algebraic expressions?

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 (a1 q1^2 + b1 p1^2 + c1 q1 + d1 p1 + e1) E^(a2 q1^2 + b2 p1^2 + c2 q1 + d2 p1 + e2)


Is there a command to select factor polynomial



(a1 q1^2 + b1 p1^2 + +c1 q1 + d1 p1 + e1)


and exponent of E



(a2 q1^2 + b2 p1^2 + c2 q1 + d2 p1 + e2)


from the top expression?






algebraic-manipulation







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    up vote
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    down vote

    favorite












     (a1 q1^2 + b1 p1^2 + c1 q1 + d1 p1 + e1) E^(a2 q1^2 + b2 p1^2 + c2 q1 + d2 p1 + e2)


    Is there a command to select factor polynomial



    (a1 q1^2 + b1 p1^2 + +c1 q1 + d1 p1 + e1)


    and exponent of E



    (a2 q1^2 + b2 p1^2 + c2 q1 + d2 p1 + e2)


    from the top expression?






    algebraic-manipulation







    share|improve this question

























      up vote
      1
      down vote

      favorite









      up vote
      1
      down vote

      favorite











       (a1 q1^2 + b1 p1^2 + c1 q1 + d1 p1 + e1) E^(a2 q1^2 + b2 p1^2 + c2 q1 + d2 p1 + e2)


      Is there a command to select factor polynomial



      (a1 q1^2 + b1 p1^2 + +c1 q1 + d1 p1 + e1)


      and exponent of E



      (a2 q1^2 + b2 p1^2 + c2 q1 + d2 p1 + e2)


      from the top expression?






      algebraic-manipulation







      share|improve this question















       (a1 q1^2 + b1 p1^2 + c1 q1 + d1 p1 + e1) E^(a2 q1^2 + b2 p1^2 + c2 q1 + d2 p1 + e2)


      Is there a command to select factor polynomial



      (a1 q1^2 + b1 p1^2 + +c1 q1 + d1 p1 + e1)


      and exponent of E



      (a2 q1^2 + b2 p1^2 + c2 q1 + d2 p1 + e2)


      from the top expression?






      algebraic-manipulation




      algebraic-manipulation






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 1 min ago









      kglr

      162k8188387




      162k8188387










      asked 52 mins ago









      Chandan Sharma

      595




      595




















          2 Answers
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          myEq = (a1 q1^2 + b1 p1^2 + +c1 q1 + d1 p1 + e1) 
           E^(a2 q1^2 + b2 p1^2 + c2 q1 + d2 p1 + e2);

          myEq /. a_ E^b_ -> a


          and



          myEq /. a_ E^b_ -> b





          share|improve this answer



























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            You can use Exponent and Coefficient as follows:



            exp = (a1 q1^2 + b1 p1^2 + c1 q1 + d1 p1 + e1) E^(a2 q1^2 + b2 p1^2 + c2 q1 + d2 p1 + e2);

            Exponent[exp, E]



            e2 + d2 p1 + b2 p1^2 + c2 q1 + a2 q1^2




            Coefficient[exp, E, Exponent[exp, E]]



            e1 + d1 p1 + b1 p1^2 + c1 q1 + a1 q1^2






            share




















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              2 Answers
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              2 Answers
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              myEq = (a1 q1^2 + b1 p1^2 + +c1 q1 + d1 p1 + e1) 
               E^(a2 q1^2 + b2 p1^2 + c2 q1 + d2 p1 + e2);

              myEq /. a_ E^b_ -> a


              and



              myEq /. a_ E^b_ -> b





              share|improve this answer
























                up vote
                3
                down vote













                myEq = (a1 q1^2 + b1 p1^2 + +c1 q1 + d1 p1 + e1) 
                 E^(a2 q1^2 + b2 p1^2 + c2 q1 + d2 p1 + e2);

                myEq /. a_ E^b_ -> a


                and



                myEq /. a_ E^b_ -> b





                share|improve this answer






















                  up vote
                  3
                  down vote










                  up vote
                  3
                  down vote









                  myEq = (a1 q1^2 + b1 p1^2 + +c1 q1 + d1 p1 + e1) 
                   E^(a2 q1^2 + b2 p1^2 + c2 q1 + d2 p1 + e2);

                  myEq /. a_ E^b_ -> a


                  and



                  myEq /. a_ E^b_ -> b





                  share|improve this answer












                  myEq = (a1 q1^2 + b1 p1^2 + +c1 q1 + d1 p1 + e1) 
                   E^(a2 q1^2 + b2 p1^2 + c2 q1 + d2 p1 + e2);

                  myEq /. a_ E^b_ -> a


                  and



                  myEq /. a_ E^b_ -> b






                  share|improve this answer












                  share|improve this answer



                  share|improve this answer










                  answered 28 mins ago









                  David G. Stork

                  21.6k11746




                  21.6k11746




















                      up vote
                      0
                      down vote













                      You can use Exponent and Coefficient as follows:



                      exp = (a1 q1^2 + b1 p1^2 + c1 q1 + d1 p1 + e1) E^(a2 q1^2 + b2 p1^2 + c2 q1 + d2 p1 + e2);

                      Exponent[exp, E]



                      e2 + d2 p1 + b2 p1^2 + c2 q1 + a2 q1^2




                      Coefficient[exp, E, Exponent[exp, E]]



                      e1 + d1 p1 + b1 p1^2 + c1 q1 + a1 q1^2






                      share
























                        up vote
                        0
                        down vote













                        You can use Exponent and Coefficient as follows:



                        exp = (a1 q1^2 + b1 p1^2 + c1 q1 + d1 p1 + e1) E^(a2 q1^2 + b2 p1^2 + c2 q1 + d2 p1 + e2);

                        Exponent[exp, E]



                        e2 + d2 p1 + b2 p1^2 + c2 q1 + a2 q1^2




                        Coefficient[exp, E, Exponent[exp, E]]



                        e1 + d1 p1 + b1 p1^2 + c1 q1 + a1 q1^2






                        share






















                          up vote
                          0
                          down vote










                          up vote
                          0
                          down vote









                          You can use Exponent and Coefficient as follows:



                          exp = (a1 q1^2 + b1 p1^2 + c1 q1 + d1 p1 + e1) E^(a2 q1^2 + b2 p1^2 + c2 q1 + d2 p1 + e2);

                          Exponent[exp, E]



                          e2 + d2 p1 + b2 p1^2 + c2 q1 + a2 q1^2




                          Coefficient[exp, E, Exponent[exp, E]]



                          e1 + d1 p1 + b1 p1^2 + c1 q1 + a1 q1^2






                          share












                          You can use Exponent and Coefficient as follows:



                          exp = (a1 q1^2 + b1 p1^2 + c1 q1 + d1 p1 + e1) E^(a2 q1^2 + b2 p1^2 + c2 q1 + d2 p1 + e2);

                          Exponent[exp, E]



                          e2 + d2 p1 + b2 p1^2 + c2 q1 + a2 q1^2




                          Coefficient[exp, E, Exponent[exp, E]]



                          e1 + d1 p1 + b1 p1^2 + c1 q1 + a1 q1^2







                          share











                          share


                          share










                          answered 4 mins ago









                          kglr

                          162k8188387




                          162k8188387



























                               

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