{VERSION 3 0 "SUN SPARC SOLARIS" "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 "2D Output" 2 20 "" 0 1 0 0 255 1 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 "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 "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 104 "Given gamma(ky) at 3 diff erent points, this fits a parabola to it and determine the peak of th e gamma.\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "e1 := g1 = a0 + a1*x1 + a2*x1^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#e1G/%#g1G,(% #a0G\"\"\"*&%#a1GF)%#x1GF)F)*&%#a2GF))F,\"\"#\"\"\"F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "e2 := g2 = a0 + a1*x2 + a2*x2^2;" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#e2G/%#g2G,(%#a0G\"\"\"*&%#a1GF)%#x 2GF)F)*&%#a2GF))F,\"\"#\"\"\"F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "e3 := g3 = a0 + a1*x3 + a2*x3^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#e3G/%#g3G,(%#a0G\"\"\"*&%#a1GF)%#x3GF)F)*&%#a2GF))F,\"\"#\"\" \"F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "e4 := solve(\{e1,e2 ,e3\},\{a0,a1,a2\});" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#e4G<%/%#a2G *&,.*&%#g2G\"\"\"%#x1GF,!\"\"*&F+\"\"\"%#x3GF,F,*&%#g1GF,F1F0F.*&F-F0% #g3GF,F,*&%#x2GF,F5F0F.*&F7F0F3F0F,F0,.*&F-F0)F1\"\"#F0F,*&)F-FF0F,*&F7F0F;F0F.*&)F7FF0F+F0F.*&F>F0F5F0F,*&F3F0FBF0F,*&F5F0FBF0F.*&F3F0F;F0F.*&F;F0F+F0 F,F0*&,&F-F,F1F.\"\"\",**&F-F0F1F0F.*&F-F0F7F0F,*$FBF0F.*&F1F0F7F0F,\" \"\"FDF./%#a0G*&,.*(F5F0F7F0F>F0F,*(F>F0F+F0F1F0F.*(F5F0FBF0F-F0F.*(F; F0F+F0F-F0F,*(F3F0FBF0F1F0F,*(F3F0F7F0F;F0F.F0F9FD" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "e5 := subs(e4, g_max = a0 - a1^2/a2/4);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%#e5G/%&g_maxG,&*&,.*(%#g3G\"\"\"%#x2 GF,)%#x1G\"\"#\"\"\"F,*(F.F1%#g2GF,%#x3GF,!\"\"*(F+F1)F-F0F1F/F,F5*()F 4F0F1F3F1F/F1F,*(%#g1GF,F7F1F4F1F,*(F;F1F-F1F9F1F5F1,.*&F/F1F9F1F,*&F. F1F4F1F5*&F-F1F.F1F,*&F-F1F9F1F5*&F7F1F/F1F5*&F7F1F4F1F,!\"\"F,*&*&),. *&F.F1F3F1F5*&F.F1F+F1F,*&F;F1F7F1F,*&F+F1F7F1F5*&F;F1F9F1F5*&F9F1F3F1 F,F0F1F=F,F1*(),&F/F,F4F5\"\"#F1),**&F/F1F4F1F5*&F/F1F-F1F,*$F7F1F5*&F 4F1F-F1F,\"\"#F1,.*&F3F1F/F1F5*&F3F1F4F1F,*&F;F1F4F1F5*&F/F1F+F1F,*&F- F1F+F1F5*&F-F1F;F1F,\"\"\"FD#F5\"\"%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "simplify(%);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#/%&g_ maxG,$*&,`p*(%#x1G\"\"\")%#g3G\"\"#\"\"\")%#x2G\"\"$F.!\"%*(F)F.)%#g2G F-F.)%#x3GF1F.F2*()F)F-F.F4F.)F7F-F.\"\"'*()F)\"\"%F.F5F*F,F*!\"#*(%#g 1GF*)F7F>F.F5F.F?*(F9F.F+F.)F0F-F.F;*(FAF.)F0F>F.F,F.F?*(F/F.)FAF-F.F7 F*F2*(FHF.FDF.F:F.F;*(F0F*FHF.F6F.F2*&F=F.F4F.F**&F=F.F+F.F**&FHF.FFF. F**&F+F.FFF.F**&FHF.FBF.F**&FBF.F4F.F***F9F.F5F.FAF.FDF.F?**F9F.F5F.F, F.FDF.F?**F9F.F5F.FAF.F:F.F?**F9F.F,F.FAF.FDF.F?**F9F.F,F.FAF.F:F.F?** F9F.F,F.F:F.F5F.F?**FAF.FDF.F:F.F5F.F?**F,F.FDF.FAF.F:F.F?**F,F.FDF.F: F.F5F.F?**F,F.F/F.FAF.F7F.F>**F5F.F6F.F0F.FAF.F>**)F)F1F.F0F.F5F.F,F.F >**FgnF.F5F.F,F.F7F.F>**F)F.F/F.FAF.F,F.F>**F)F.F5F.F6F.FAF.F>*(FgnF.F 0F.F+F.F2*(FgnF.F4F.F7F.F2*,F9F.F0F.F5F.F7F.FAF.F>*,F9F.F5F.F,F.F7F.F0 F.!\")*,F9F.F0F.F,F.FAF.F7F.F>*,F)F.FDF.F,F.FAF.F7F.F_o*,F)F.FDF.F5F.F 7F.FAF.F>*,F)F.F,F.FDF.F7F.F5F.F>*,F)F.F0F.FAF.F:F.F5F.F_o*,F)F.F0F.F, F.FAF.F:F.F>*,F)F.F,F.F0F.F:F.F5F.F>F.*(,.*&F5F.F)F.!\"\"*&F5F.F7F.F** &FAF.F7F.Fjo*&F)F.F,F.F**&F0F.F,F.Fjo*&F0F.FAF.F*\"\"\",&F)F*F7Fjo\"\" \",**&F)F.F7F.Fjo*&F)F.F0F.F**$FDF.Fjo*&F7F.F0F.F*\"\"\"!\"\"#FjoF>" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "x1:=.2; x2:=.3; x3:= .4; \+ g1:= 0.34; g2:= 0.55; g3:=0.55;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%# x1G$\"\"#!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x2G$\"\"$!\"\"" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x3G$\"\"%!\"\"" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%#g1G$\"#M!\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>% #g2G$\"#b!\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#g3G$\"#b!\"#" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "e5;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%&g_maxG$\"+++]id!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "0 0 0" 49 }{VIEWOPTS 1 1 0 1 1 1803 }