{VERSION 6 0 "IBM INTEL LINUX" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 256 "" 1 24 0 0 0 0 0 1 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 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 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 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 256 40 "Speed of tidal bo re from jump conditions" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 126 " restart:\njump1:=-Delta/H;\njump2:=-V*(H+Delta)/sqrt(g*H);\njump3:=H^2 /2-(V/sqrt(g*H))^2*H-(H+Delta)^2/2;\njump3:=simplify(jump3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&jump1G,$*&%&DeltaG\"\"\"%\"HG!\"\"F*" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%&jump2G,$*(%\"VG\"\"\",&%\"HGF(%&Del taGF(F(*&%\"gGF(F*F(#!\"\"\"\"#F/" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#> %&jump3G,(*&\"\"#!\"\"%\"HGF'\"\"\"*&%\"VGF'%\"gGF(F(*&F'F(,&F)F*%&Del taGF*F'F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&jump3G,$*(\"\"#!\"\",( *&F'\"\"\")%\"VGF'F+F+**F'F+%\"gGF+%\"HGF+%&DeltaGF+F+*&F/F+)F1F'F+F+F +F/F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 90 "g:=10.0;\nDelta: =1;\nsolve(\{sdot*jump1=jump2,\n sdot*jump2=jump3\},\{sdot,V\}); \nassign(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gG$\"$+\"!\"\"" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%&DeltaG\"\"\"" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#<$/%\"VG-%'RootOfG6#,(*&,(*&\"2*oPt*******\\#\"\"\")%\" HG\"\"#F.F.*&\"2y`n%********\\F.F0F.F.\"(6Bm#!\"\"F.)%#_ZGF1F.F.\"3+++ ++++]7F5*&\"3++++++++DF.F0F.F5/%%sdotG,$**$\"+gwFiJ!#5F.F&F.,&F0F.$F. \"\"!F.F.F0#F.F1F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "V;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#-%'RootOfG6#,(*&,(*&\"2*oPt*******\\# \"\"\")%\"HG\"\"#F+F+*&\"2y`n%********\\F+F-F+F+\"(6Bm#!\"\"F+)%#_ZGF. 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