{VERSION 2 3 "IBM INTEL NT" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "Hyperlink" -1 17 "" 0 1 0 128 128 1 0 0 1 0 0 0 0 0 0 } {CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE " " 0 21 "" 0 1 0 0 0 1 0 0 0 0 2 0 0 0 0 }{CSTYLE "Help Heading" -1 26 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 256 "Times" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 }1 0 0 0 6 6 0 0 0 0 0 0 -1 0 }{PSTYLE "Warning" 2 7 1 {CSTYLE "" -1 -1 "" 0 1 0 0 255 1 0 0 0 0 0 0 1 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Error" 7 8 1 {CSTYLE "" -1 -1 "" 0 1 255 0 255 1 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {SECT 0 {PARA 0 "" 0 "" {TEXT 26 6 "Error:" }{TEXT -1 17 " obj ect too large" }}{PARA 0 "" 0 "" {TEXT -1 47 "A sum in Maple is allowe d to have no more than " }{XPPEDIT 18 0 "2^16-1 = 65535" "/,&*$\"\"#\" #;\"\"\"\"\"\"!\"\"\"&Nb'" }{TEXT -1 35 " terms, and a product no more than " }{XPPEDIT 18 0 "2^16-1" ",&*$\"\"#\"#;\"\"\"\"\"\"!\"\"" } {TEXT -1 254 " factors. This limit is sometimes exceeded in calculat ions that suffer from \"combinatorial explosion\". A typical case whe re this arises is in finding the determinant or inverse of a matrix wi th many symbolic entries. In the case of \"det\" you can try " } {MPLTEXT 0 21 16 "det(..., sparse)" }{TEXT -1 245 ", which uses an exp ansion-by-minors method that may reduce the sizes of intermediate expr essions. Otherwise try to reorganize your calculation so the expressi ons will not be so large (e.g. if possible use numeric rather than sym bolic values). " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 257 "There is a 64-bit Maple which is available on DEC Alpha \+ and some other platforms, and does not have this limitation. But comb inatorial explosion can defeat even 64-bit Maple, creating expressions that use up all available memory or take forever to compute." }}} {SECT 0 {PARA 3 "" 0 "" {TEXT 26 9 "Examples:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "biglist:= [ seq(a[j],j=1..2^16)]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "bigsum:=convert(biglist,`+`):" }} {PARA 8 "" 1 "" {TEXT -1 23 "Error, object too large" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "bigprod:=convert(biglist,`*`):" }}{PARA 8 "" 1 "" {TEXT -1 23 "Error, object too large" }}}}{SECT 0 {PARA 0 " " 0 "" {TEXT 26 10 "See also: " }{HYPERLNK 17 "det" 2 "det" "" }}} {SECT 0 {PARA 0 "" 0 "" {TEXT 26 22 "Maple Advisor Database" }{TEXT 256 18 " R. Israel, 1997" }}}}{MARK "3" 0 }{VIEWOPTS 1 1 0 1 1 1803 }