{VERSION 3 0 "IBM INTEL LINUX" "3.0" } {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 2 0 1 0 0 0 0 0 0 } {CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 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 }{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 "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 8 4 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Bullet Item" 0 15 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 3 3 0 0 0 0 0 0 15 2 }} {SECT 0 {SECT 0 {PARA 0 "" 0 "" {TEXT 26 10 "Function: " }{TEXT -1 64 "factrix - take out common scalar factors from a matrix or vector" }} {PARA 0 "" 0 "" {TEXT 26 18 "Calling sequence: " }}{PARA 0 "" 0 "" {MPLTEXT 0 21 12 " factrix(M);" }}{PARA 0 "" 0 "" {TEXT 26 11 "Paramet ers:" }}{PARA 0 "" 0 "" {TEXT -1 2 " " }{MPLTEXT 0 21 1 "M" }{TEXT -1 93 " - a matrix, vector, list or listlist, or an expression that ev aluates to one of these under " }{MPLTEXT 0 21 5 "evalm" }{TEXT -1 1 " ." }}}{SECT 0 {PARA 3 "" 0 "" {TEXT 26 13 "Description: " }}{PARA 15 " " 0 "" {TEXT -1 18 "If the entries of " }{MPLTEXT 0 21 1 "M" }{TEXT -1 22 " have a scalar factor " }{MPLTEXT 0 21 1 "f" }{TEXT -1 48 " in \+ common, the result of this function will be " }{MPLTEXT 0 21 3 "f*N" } {TEXT -1 7 " where " }{MPLTEXT 0 21 5 "f*N=M" }{TEXT -1 6 ", and " } {MPLTEXT 0 21 1 "N" }{TEXT -1 22 " has the same type as " }{MPLTEXT 0 21 1 "M" }{TEXT -1 1 "." }}{PARA 15 "" 0 "" {TEXT -1 279 "In the case \+ of an array or vector, both numerical and symbolic factors are extract ed. In the case of a list or listlist, if there is no common symbolic factor a numerical factor can not be extracted (because Maple automat ically distributes such factors over a list or listlist)." }}{PARA 15 "" 0 "" {TEXT -1 129 "When some entries are fractions, everything is p ut over a common denominator which is extracted (except in the case no ted above)." }}{PARA 15 "" 0 "" {TEXT -1 166 "There are difficulties w ith factoring when floating-point coefficients are involved. This fun ction treats any two different floats as independent (even 1.0 and 2.0 )." }}{PARA 15 "" 0 "" {TEXT -1 106 "This function is part of the Mapl e Advisor Database library, and must be loaded before use by the comma nd " }{MPLTEXT 0 21 17 "readlib(factrix);" }{TEXT -1 1 "." }}}{SECT 0 {PARA 3 "" 0 "" {TEXT 26 9 "Examples:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "readlib(factrix):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "factrix(matrix([[3/4*t^2,6*t^3],[9*q*(t+t^4),3/8*t]]) );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&%\"tG\"\"\"-%'matrixG6#7$7$, $F%\"\"#,$*$)F%F-\"\"\"\"#;7$,&%\"qG\"#C*&)F%\"\"$F1F5F&F6F&F&#F9\"\") " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 130 "factrix(matrix([[x^2+x , x^3+x^2], \n [x^3+2*x^2+x, x^3+3*x^2+3*x+1], \n \+ [w*x^2+2*w*x+w, 3*x+2+x^2]]));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&,&%\"xG\"\"\"F&F&F&-%'matrixG6#7%7$F%*$)F%\"\"#\"\"\"7$,&F,F&F %F&,(F,F&F%F.F&F&7$,&*&%\"wGF&F%F&F&F6F&,&F%F&F.F&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "factrix(vector([15,27]));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$-%'vectorG6#7$\"\"&\"\"*\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "factrix(vector([1+sqrt(2),3+2*sqrt(2)])); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&,&\"\"$\"\"\"*$-%%sqrtG6#\"\"#\" \"\"F+F&-%'vectorG6#7$,&!\"\"F&F'F&F&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "factrix([15.3*x,15.3*x*y]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&%\"xG\"\"\"7$F&%\"yGF&$\"$`\"!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "factrix([4.3*x,2.3*x]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&%\"xG\"\"\"7$$\"#V!\"\"$\"#BF)F%" }}}} {SECT 0 {PARA 0 "" 0 "" {TEXT 26 10 "See also: " }{HYPERLNK 17 "array " 2 "array" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "factor" 2 "factor" "" } {TEXT -1 2 ", " }{HYPERLNK 17 "list" 2 "list" "" }{TEXT -1 2 ", " } {HYPERLNK 17 "matrix" 2 "matrix" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "ve ctor" 2 "vector" "" }{TEXT -1 1 " " }}}{SECT 0 {PARA 0 "" 0 "" {TEXT 26 22 "Maple Advisor Database" }{TEXT -1 18 " R. Israel, 1998\n" }}}} {MARK "3 0 0" 4 }{VIEWOPTS 1 1 0 1 1 1803 }