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{SECT 0 {SECT 0 {PARA 0 "" 0 "" {TEXT 26 7 "Advice:" }{TEXT -1 25 " Re
ordering an expression" }}{PARA 0 "" 0 "" {TEXT -1 116 "Normally, once
 an expression has been created in a Maple session, it is always writt
en in the same order.  Thus if  " }{XPPEDIT 18 0 "a+b*c" ",&%\"aG\"\"
\"*&%\"bGF$%\"cGF$F$" }{TEXT -1 60 " has occurred previously, even as \+
a sub-expression (e.g. in " }{XPPEDIT 18 0 "(a+b*c)*d" "*&,&%\"aG\"\"
\"*&%\"bGF%%\"cGF%F%F%%\"dGF%" }{TEXT -1 17 "), and you enter " }
{MPLTEXT 0 21 5 "c*b+a" }{TEXT -1 27 ", Maple will rewrite it as " }
{XPPEDIT 18 0 "a+b*c" ",&%\"aG\"\"\"*&%\"bGF$%\"cGF$F$" }{TEXT -1 17 "
.  \n\nYou can use " }{MPLTEXT 0 21 4 "sort" }{TEXT -1 63 "  to change
 the order of an expression.  The first argument to " }{MPLTEXT 0 21 
4 "sort" }{TEXT -1 100 "  is the expression to sort, and the second is
 a list of variables or functions.  A third argument  " }{MPLTEXT 0 
21 4 "plex" }{TEXT -1 211 "  causes the sorting to be in pure lexicogr
aphic order in the members of the list, rather than decreasing total d
egree in the members of the list.  \n\nAfter being sorted, the express
ion stays in the sorted order." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "sort(a+b*c+c^3*d, [b,c]);" }
}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*&%\"dG\"\"\"%\"cG\"\"$F&*&%\"bGF&F
'F&F&%\"aGF&" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT -1 34 "This is in total-degree order, so " }{XPPEDIT 18 0 "d*c^3
" "*&%\"dG\"\"\"*$%\"cG\"\"$F$" }{TEXT -1 25 ", which is of order 3 in
 " }{XPPEDIT 18 0 "b" "I\"bG6\"" }{TEXT -1 5 " and " }{XPPEDIT 18 0 "c
" "I\"cG6\"" }{TEXT -1 15 ", comes before " }{XPPEDIT 18 0 "b*c" "*&%
\"bG\"\"\"%\"cGF$" }{TEXT -1 40 " which is of order 2 in those variabl
es." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 30 "sort(a+b*c+c^3*d, [b,c],plex);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#,(*&%\"bG\"\"\"%\"cGF&F&*&%\"dGF&F'\"\"$F&%\"aGF&" }}}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 31 "In pure l
exicographic order in " }{MPLTEXT 0 21 5 "[b,c]" }{TEXT -1 2 ", " }
{XPPEDIT 18 0 "b*c" "*&%\"bG\"\"\"%\"cGF$" }{TEXT -1 14 " comes before
 " }{XPPEDIT 18 0 "d*c^3" "*&%\"dG\"\"\"*$%\"cG\"\"$F$" }{TEXT -1 9 " \+
because " }{MPLTEXT 0 21 1 "b" }{TEXT -1 178 " has first priority. In \+
a sum, terms containing no members of the list come last.  In a produc
t, however, factors containing no members of the list come first.  Thu
s we obtained " }{XPPEDIT 18 0 "d *c^3" "*&%\"dG\"\"\"*$%\"cG\"\"$F$" 
}{TEXT -1 13 " rather than " }{XPPEDIT 18 0 "c^3 *d" "*&%\"cG\"\"$%\"d
G\"\"\"" }{TEXT -1 44 ".\n\nHowever, suppose you have the expression \+
" }{XPPEDIT 18 0 "c^3 + c^2 + c + 1" ",**$%\"cG\"\"$\"\"\"*$F$\"\"#F&F
$F&\"\"\"F&" }{TEXT -1 26 " and wish to change it to " }{XPPEDIT 18 0 
"1 + c + c^2 + c^3" ",*\"\"\"\"\"\"%\"cGF$*$F%\"\"#F$*$F%\"\"$F$" }
{TEXT -1 26 ".  There is no way to use " }{MPLTEXT 0 21 4 "sort" }
{TEXT -1 67 " to do this.  You would have to create the expression ini
tially as " }{MPLTEXT 0 21 17 "1 + c + c^2 + c^3" }{TEXT -1 75 ".  But
 there is a trick you can use: obtain a new variable that looks like \+
" }{MPLTEXT 0 21 1 "c" }{TEXT -1 127 " but is not the same for Maple, \+
and create the expression using that new variable.  Then assign the ne
w variable as a value to " }{MPLTEXT 0 21 1 "c" }{TEXT -1 1 "." }}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 " p:= c^3 + c^2 + c + 1;" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG,**$%\"cG\"\"$\"\"\"*$F'\"\"#F)F
'F)F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "newc:= readlib(`
tools/gensym`)(c):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "1 + n
ewc + newc^2 + newc^3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,*\"\"\"F$%
\"cGF$*$F%\"\"#F$*$F%\"\"$F$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 9 "c:= newc;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"cGF$" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "p;" }}{PARA 11 "" 1 "" {XPPMATH 20 "
6#,*\"\"\"F$%\"cGF$*$F%\"\"#F$*$F%\"\"$F$" }}}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 166 "In a more complicated case, to
 create the new version of the expression you could first convert the \+
expression to a list, permute the elements as desired, substitute " }
{MPLTEXT 0 21 4 "newc" }{TEXT -1 5 " for " }{MPLTEXT 0 21 1 "c" }
{TEXT -1 33 ", and then convert back to a sum." }}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 24 "plist:= convert(p,list);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%&plistG7&\"\"\"%\"cG*$F'\"\"#*$F'\"\"$" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "newc:= readlib(`tools/gensym`)(c):
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "[op(plist[2..4]), plist
[1]];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7&%\"cG*$F$\"\"#*$F$\"\"$\"\"
\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "subs(c=newc,\");" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#7&%\"cG*$F$\"\"#*$F$\"\"$\"\"\"" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "convert(\",`+`);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#,*%\"cG\"\"\"*$F$\"\"#F%*$F$\"\"$F%F%F%" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "c:= newc;" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%\"cGF$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 
"p;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,*%\"cG\"\"\"*$F$\"\"#F%*$F$\"
\"$F%F%F%" }}}}{SECT 0 {PARA 0 "" 0 "" {TEXT 26 9 "See also:" }{TEXT 
-1 2 "  " }{HYPERLNK 17 "sort" 2 "sort" "" }{TEXT -1 2 ", " }
{HYPERLNK 17 "`tools/gensym`" 2 "tools,gensym" "" }}}{SECT 0 {PARA 0 "
" 0 "" {TEXT 26 22 "Maple Advisor Database" }{TEXT 256 18 "   R. Israe
l, 1997" }}}}{MARK "0 17 1 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }