Defining the symsum input function [matlab]












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$begingroup$


I'm trying to compute the following symbolic sum in matlab:
begin{align}
sum_{j=1}^n &Bigl{Bigl[a^{mathrm{mod}(j-3,n)}+ a^{n-mathrm{mod}(j-3,n)} +a^{mathrm{mod}(j-1-n,n)} + a^{n-mathrm{mod}(j-1-n,n)}Bigr] \
%
&times Bigl[a^{mathrm{mod}(j-1,n)}+ a^{n-mathrm{mod}(j-1,n)}+a^{mathrm{mod}(j+1-n,n)} + a^{n-mathrm{mod}(j+1-n,n)}Bigr]Bigr}\
%
=& Bigl{Bigl[a^{n-2}+ a^{2} +a^{0} + a^{n}Bigr] times Bigl[a^{0}+ a^{n} +a^{2} + a^{n-2}Bigr]\
%
& +Bigl[a^{n-1}+ a^{1} +a^{1} + a^{n-1}Bigr] times Bigl[a^{1}+ a^{n-1}+a^{3} + a^{n-3}Bigr]\
%
& +cdots +Bigl[a^{n-3}+ a^{3} +a^{n-1} + a^{1}Bigr]times Bigl[a^{n-1}+ a^{1}+a^{1} + a^{n-1}Bigr]\
end{align}



However, I can't define the function:



T=(a^(mod(j-3,n))+ a^(n-mod(j-3,n))+a^(mod(j-1-n,n)) + a^(n-mod(j-1-n,n)))*(a^(mod(j-1,n))+ a^(n-mod(j-1,n))+a^(mod(j+1-n,n)) + a^(n-mod(j+1-n,n)))


to compute 



symsum(T,j,1,n)


Any help on how to make this calculation?






summation matlab symbolic-computation







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    0












    $begingroup$


    I'm trying to compute the following symbolic sum in matlab:
    begin{align}
    sum_{j=1}^n &Bigl{Bigl[a^{mathrm{mod}(j-3,n)}+ a^{n-mathrm{mod}(j-3,n)} +a^{mathrm{mod}(j-1-n,n)} + a^{n-mathrm{mod}(j-1-n,n)}Bigr] \
    %
    &times Bigl[a^{mathrm{mod}(j-1,n)}+ a^{n-mathrm{mod}(j-1,n)}+a^{mathrm{mod}(j+1-n,n)} + a^{n-mathrm{mod}(j+1-n,n)}Bigr]Bigr}\
    %
    =& Bigl{Bigl[a^{n-2}+ a^{2} +a^{0} + a^{n}Bigr] times Bigl[a^{0}+ a^{n} +a^{2} + a^{n-2}Bigr]\
    %
    & +Bigl[a^{n-1}+ a^{1} +a^{1} + a^{n-1}Bigr] times Bigl[a^{1}+ a^{n-1}+a^{3} + a^{n-3}Bigr]\
    %
    & +cdots +Bigl[a^{n-3}+ a^{3} +a^{n-1} + a^{1}Bigr]times Bigl[a^{n-1}+ a^{1}+a^{1} + a^{n-1}Bigr]\
    end{align}



    However, I can't define the function:



    T=(a^(mod(j-3,n))+ a^(n-mod(j-3,n))+a^(mod(j-1-n,n)) + a^(n-mod(j-1-n,n)))*(a^(mod(j-1,n))+ a^(n-mod(j-1,n))+a^(mod(j+1-n,n)) + a^(n-mod(j+1-n,n)))


    to compute 



    symsum(T,j,1,n)


    Any help on how to make this calculation?






    summation matlab symbolic-computation







    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      I'm trying to compute the following symbolic sum in matlab:
      begin{align}
      sum_{j=1}^n &Bigl{Bigl[a^{mathrm{mod}(j-3,n)}+ a^{n-mathrm{mod}(j-3,n)} +a^{mathrm{mod}(j-1-n,n)} + a^{n-mathrm{mod}(j-1-n,n)}Bigr] \
      %
      &times Bigl[a^{mathrm{mod}(j-1,n)}+ a^{n-mathrm{mod}(j-1,n)}+a^{mathrm{mod}(j+1-n,n)} + a^{n-mathrm{mod}(j+1-n,n)}Bigr]Bigr}\
      %
      =& Bigl{Bigl[a^{n-2}+ a^{2} +a^{0} + a^{n}Bigr] times Bigl[a^{0}+ a^{n} +a^{2} + a^{n-2}Bigr]\
      %
      & +Bigl[a^{n-1}+ a^{1} +a^{1} + a^{n-1}Bigr] times Bigl[a^{1}+ a^{n-1}+a^{3} + a^{n-3}Bigr]\
      %
      & +cdots +Bigl[a^{n-3}+ a^{3} +a^{n-1} + a^{1}Bigr]times Bigl[a^{n-1}+ a^{1}+a^{1} + a^{n-1}Bigr]\
      end{align}



      However, I can't define the function:



      T=(a^(mod(j-3,n))+ a^(n-mod(j-3,n))+a^(mod(j-1-n,n)) + a^(n-mod(j-1-n,n)))*(a^(mod(j-1,n))+ a^(n-mod(j-1,n))+a^(mod(j+1-n,n)) + a^(n-mod(j+1-n,n)))


      to compute 



      symsum(T,j,1,n)


      Any help on how to make this calculation?






      summation matlab symbolic-computation







      share|cite|improve this question









      $endgroup$




      I'm trying to compute the following symbolic sum in matlab:
      begin{align}
      sum_{j=1}^n &Bigl{Bigl[a^{mathrm{mod}(j-3,n)}+ a^{n-mathrm{mod}(j-3,n)} +a^{mathrm{mod}(j-1-n,n)} + a^{n-mathrm{mod}(j-1-n,n)}Bigr] \
      %
      &times Bigl[a^{mathrm{mod}(j-1,n)}+ a^{n-mathrm{mod}(j-1,n)}+a^{mathrm{mod}(j+1-n,n)} + a^{n-mathrm{mod}(j+1-n,n)}Bigr]Bigr}\
      %
      =& Bigl{Bigl[a^{n-2}+ a^{2} +a^{0} + a^{n}Bigr] times Bigl[a^{0}+ a^{n} +a^{2} + a^{n-2}Bigr]\
      %
      & +Bigl[a^{n-1}+ a^{1} +a^{1} + a^{n-1}Bigr] times Bigl[a^{1}+ a^{n-1}+a^{3} + a^{n-3}Bigr]\
      %
      & +cdots +Bigl[a^{n-3}+ a^{3} +a^{n-1} + a^{1}Bigr]times Bigl[a^{n-1}+ a^{1}+a^{1} + a^{n-1}Bigr]\
      end{align}



      However, I can't define the function:



      T=(a^(mod(j-3,n))+ a^(n-mod(j-3,n))+a^(mod(j-1-n,n)) + a^(n-mod(j-1-n,n)))*(a^(mod(j-1,n))+ a^(n-mod(j-1,n))+a^(mod(j+1-n,n)) + a^(n-mod(j+1-n,n)))


      to compute 



      symsum(T,j,1,n)


      Any help on how to make this calculation?






      summation matlab symbolic-computation




      summation matlab symbolic-computation






      share|cite|improve this question













      share|cite|improve this question











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      share|cite|improve this question










      asked Jan 24 at 12:26









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