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{SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT 257 22 "SUM-symbolic summation" 
}}}{EXCHG {PARA 0 "" 0 "" {TEXT 256 23 "Loading the packages..." }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 70 "Directory below should be the directory where the \+
source code file is." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "rea
d(\"INT/INTpackage/SUM.map\");" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "
" }{TEXT 258 0 "" }{TEXT 259 8 "Examples" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 15 "E:=u[n+1]-u[n];" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 9 "SUM(E,n);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
42 "E:=2*u[n+3]^2*u[n+2]-u[n+1]^2*u[n]+u[n+2];" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 9 "SUM(E,n);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 62 "E:=expand((n+1)^3*u[n+2]*v[n+1]^5+v[n+2]^3-n^3*u[n+1]
*v[n]^5);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "SUM(E,n);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "E:=u[n+2]/u[n+1]^p-u[n+1]/u[
n]^p;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "SUM(E,n);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "E:=u[n+2]/u[n+1]-u[n+1]/u[n]
+u[n];" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "SUM(E,n);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "E:=(u[n+5]+u[n+1])/(u[n+2]+u
[n+1])-(u[n+4]+u[n])/(u[n+1]+u[n])+v[n];" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 9 "SUM(E,n);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 181 "The
 form of the summand can effect the summation proceedure for expressio
ns which contain non-monomial terms in the denominator. Though the res
ult is correct, it may not be optimal." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 37 "E:=1/(u[n+2]+u[n+1])-1/(u[n+1]+u[n]);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "SUM(E,n);" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 21 "E:=expand(normal(E));" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 9 "SUM(E,n);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
0 "" }}}}{MARK "4 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }
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