Re: maximum of a series

*To*: mathgroup at smc.vnet.net*Subject*: [mg114127] Re: maximum of a series*From*: olfa <olfa.mraihi at yahoo.fr>*Date*: Wed, 24 Nov 2010 07:00:26 -0500 (EST)*References*: <ic8aap$7v6$1@smc.vnet.net>

On 20 nov, 12:10, Bill Rowe <readn... at sbcglobal.net> wrote: > On 11/19/10 at 5:08 AM, olfa.mra... at yahoo.fr (olfa) wrote: > > >how can I represent for example themaximumof the summations > >:sum[a[k],{k,i,j}] where j varies from i to n? > > I will take your "represent" as "determine". That is I take your > question to be how to find themaximumof the partial sums that > are (in principle) formed when evaluating > > Sum[a[k],{k,i,j}] > > If I have this correct, I suggest > > Max@Accumulate@Table[a[k], {k,i,j}] > > Evaluation of Sum only returns the final sum not any of the > intermediate sums (which Mathematica may not actually compute). > I've used Table to create each of the a[k] terms and Accumulate > to compute the partial sums. what I need exactly is to solve this system for m using reduce, Max[m, s + Max[Table[Sum[a[index2], {index2, i, index1}], {index1, i, N}]]] == Max[m, t + Max[Table[Sum[a[index2], {index2, j, index1}], {index1, j, N}]]] but I have the error: iterator in Table does not have appropriate bounds