{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 "Hyperlink" -1 17 "" 0 1 0 128 128 1 0 0 1 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 H eading" -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 6 6 0 0 0 0 0 0 -1 0 }{PSTYLE "Bull et 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 {PARA 0 "" 0 "" {TEXT -1 0 "" }}{SECT 0 {PARA 0 "" 0 "" {TEXT 26 9 "Function:" }{TEXT -1 52 " inequalities - plot regions defined by inequalities" }}{PARA 0 "" 0 "" {TEXT 26 18 "Calling Sequence: " } {TEXT -1 1 " " }}{PARA 0 "" 0 "" {MPLTEXT 0 21 60 "inequalities( ineqs , xvar = a .. b, yvar = c .. d, options )" }}{PARA 0 "" 0 "" {TEXT 26 12 "Parameters: " }}{PARA 0 "" 0 "" {TEXT -1 3 " " }{MPLTEXT 0 21 5 "ineqs" }{TEXT -1 75 " - one inequality or equation or a set of ine qualities and equations\n " }{MPLTEXT 0 21 4 "xvar" }{TEXT -1 35 " \+ - name for the x axis variable" }}{PARA 0 "" 0 "" {TEXT -1 3 " " }{MPLTEXT 0 21 4 "a, b" }{TEXT -1 18 " - bounds for " }{MPLTEXT 0 21 4 "xvar" }{TEXT -1 17 " (real constants)" }}{PARA 0 "" 0 "" {TEXT -1 3 " " }{MPLTEXT 0 21 4 "yvar" }{TEXT -1 35 " - name for the y axis variable" }}{PARA 0 "" 0 "" {TEXT -1 3 " " }{MPLTEXT 0 21 6 "c , d " }{TEXT -1 13 "- bounds for " }{MPLTEXT 0 21 4 "yvar" }{TEXT -1 17 " (real constants)" }}{PARA 0 "" 0 "" {TEXT -1 3 " " }{MPLTEXT 0 21 7 "options" }{TEXT -1 23 " - (optional) see below" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT 26 12 "Description:" }}{PARA 15 "" 0 "" {TEXT -1 19 "This is similar to " }{MPLTEXT 0 21 7 "inequal" }{TEXT -1 8 " i n the " }{MPLTEXT 0 21 5 "plots" }{TEXT -1 58 " package, but allows no nlinear inequalities and equations." }}{PARA 15 "" 0 "" {TEXT -1 237 " The plot consists of four elements:\nfeasible region - the region wh ere all inequalities are satisfied \027\nexcluded region - the region where at least one inequality is violated\nopen lines - curves repres enting the boundaries of strict (" }{MPLTEXT 0 21 1 "<" }{TEXT -1 80 " ) inequalities\nclosed lines - curves representing the boundaries of n on-strict (" }{MPLTEXT 0 21 2 "<=" }{TEXT -1 37 ") inequalities, as we ll as equations." }}{PARA 15 "" 0 "" {TEXT -1 16 "Use the options " } {MPLTEXT 0 21 23 "optionsfeasible = (...)" }{TEXT -1 2 ", " }{MPLTEXT 0 21 23 "optionsexcluded = (...)" }{TEXT -1 2 ", " }{MPLTEXT 0 21 19 " optionsopen = (...)" }{TEXT -1 2 ", " }{MPLTEXT 0 21 21 "optionsclosed = (...)" }{TEXT -1 72 " to control the appearance of each of these el ements. The defaults are " }{MPLTEXT 0 21 34 "optionsfeasible = (colo ur = green)" }{TEXT -1 2 ", " }{MPLTEXT 0 21 34 "optionsexcluded = (co lour = white)" }{TEXT -1 2 ", " }{MPLTEXT 0 21 41 "optionsopen = (colo ur = red, linestyle=2)" }{TEXT -1 2 ", " }{MPLTEXT 0 21 46 "optionsclo sed = (colour = blue, linestyle = 0)" }{TEXT -1 1 "." }}{PARA 15 "" 0 "" {TEXT -1 51 "Non-Cartesian coordinates are supported, using the " } {MPLTEXT 0 21 6 "coords" }{TEXT -1 8 " option." }}{PARA 15 "" 0 "" {TEXT -1 51 "Other two-dimensional plotting options can be used." }} {PARA 15 "" 0 "" {TEXT -1 106 "This function is part of the Maple Advi sor Database library, and must be loaded before use by the command " } {MPLTEXT 0 21 22 "readlib(inequalities);" }}}{SECT 0 {PARA 0 "" 0 "exa mples" {TEXT 26 9 "Examples:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "readlib(inequalities):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "inequalities(\{x+y>0, x^2 + y^2 <=3\}, x=-2..2, y=-2..2 );" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 219 "inequalities(\{x+y>0, x^2-y ^2<=1, y=2\}, x=-3..3, y=-3..3,\n optionsfeasible=(color=cyan),\n \+ optionsopen=(color=blue, thickness=2),\n optionsclosed=(color=red , thickness=3),\n optionsexcluded=(color=aquamarine) );" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 108 "inequalities(r^2 >= cos(2*theta), \+ r = 0 .. 1.5, theta = 0 .. 2*Pi, coords=polar, labels = [``,``],axes=b ox);" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT 26 9 "See also:" }}{PARA 0 "" 0 "" {HYPERLNK 17 "coords" 2 "coords" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "inequal" 2 "inequal" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "plot(optio ns)" 2 "plot,options" "" }{TEXT -1 1 " " }}}{SECT 0 {PARA 0 "" 0 "" {TEXT 26 23 "Maple Advisor Database " }{TEXT -1 15 " R. Israel 1998" } }}{PARA 3 "" 0 "" {TEXT -1 0 "" }}{PARA 3 "" 0 "" {TEXT -1 0 "" }}} {MARK "3 0 0" 9 }{VIEWOPTS 1 1 0 1 1 1803 }