C:\Program Files\Maple 15\lib\GymVektor.mla....................................................................................................................................................................................................................%YMGymVektor.........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................rh@x@rS rT @@rT  RS @rT D S hS xrh@x@rS rT @@rT  RS @rT D S hS xrh@L x@r~%@x,r@$.r,RXX ,@ D, +x rh@d1x@rG] ] @@] 0RG] 0@] D0G] /4PG] rh@g x@r ~ @@> 8Rb= 8@#> D8b= 7\` b= @h@(x@r,b9Ȭ @@ 8R,b98@Ȭ D80b97,4b9@h@(x@cr ` s @@q Y@RY ` @@s YD@$` ?e(` @h@(x@cr \q @@tY@RY \@@q YD@\?Be\@h@(x@cr^ $ @@۷ Y@RY^ @@$ YD@^ ?He^ @h@(x@cr@b do @@pNo Y@RY@b @@do YD@Db ? KeHb @h@(x@crf2 d @@ Y@RYf2 @@d YD@ f2 ?Aef2 @h@(x@crPb r @@X6 Y@RYPb @@r YD@Tb ?t9eXb @h@(x@crPb r @@X6 Y@RYPb @@r YD@Tb ?t9eXb @h@(x@cr @@ Y@RY @@YD@ ?e @h@(x@cr  @@ Y@RY @@ YD@ ? e @h@(x@RsH3lD @@` EH@DsSsP3lpGP4lx3D wP3l@h@(x@RsՒ @@DsSs0Ւ 0֒ 0Ւ @sSs0Ւ  J Ւ w$Ւ Ssh@ x@Rsiػ@@DsSsi4ji@sSsi4PiTػwi8@h@)x@Rs ڪ @@DsSs 8 @sSs 8R ڪ w @@h@)x@Rs6" " @@DsSs6" 07" 6" @sSs6" 0P6" e" w6" 8@h@)x@Rs@ IA @@ GA EP@DsSs@ pG8@ PIA w@ 8@h@)x@팙r$ x@@EhPh@Dsr$ pG8% @$xwt$ 8@h@)x@r@x,r@$.rP@Dsr pG8 hW4N wܷ 8@h@)x@r:+ @@, EP@Dsr:+ pG8;+ 3 w:+ 8@h@)x@rT @@Dsr` 4` ` @sr` 4PX 2 w\ 8@h@)x@r0z H"@@Dsr@z 0@{ @z @sr@z 0P4z .H"w8z 8@h@)x@r: x @@Dsr: 0: : @sr: 0P: \x w: 8@h@)x@r| < @@Dsr , @sr , P ]< w 8@h@)x@r` L @@Dsrp 0p p @srp 0Pd (_L wh 8@h@)x@r e. . @@Dsr e. , f. e. @sr e. , Pe. b. we. 8@h@)x@rHk|@@EP"@DsrPkpG8Plc|wPk8@h@)x@rHk|@@EP"@DsrPkpG8Plc|wPk8@h@)x@rhw @@ܝEP"@DsrpwpG8pxL wpw8@h@)x@r/DQ@@Dsr/40/@sr/4P//DQw/8@h@)x@r`s(@@Dsrps0ptps@srps0Pds(whs8@h@)x@r@# lA$ @@DsrP# 0P# P# @srP# 0PD# HVlA$ wH# 8@h@)x@r @@Dsr0000@sr00P$(Mw(8@h@)x@rp@@Dsrp,pp@srp, PpMwp8@h@)x@pdv V@@Dsppv4pvpv@sppv4PhvL Vwlv824h@&} x@r 80 @@/ "R "@80 D" !E rh@?rx@r J @@J &R &@J D& %p rh@H- x@rtk =s@@ 0Rtk 0@=sD0xk /||k rh@g x@r ~ @@> 8Rb= 8@#> D8b= 7\` b= @h@(x@rXu@@躬8RXu8@D8\u7&`u@h@(x@rh  @@l8Rh 8@ D8l 7p @h@(x@r= d]> @@= :R= :@d]> D:= 9D^= @h@(x@cr0 j1 @@1 Y@RY0 @@j1 YD@0 ?@Pe0 @h@(x@cr@b do @@pNo Y@RY@b @@do YD@Db ? KeHb @h@(x@cr$k \% @@ Y@RY$k @@\% YD@(k ?dXe,k @h@(x@cr& D @@ Y@RY& @@D YD@& ?@ae& @h@(x@crȳ 7 @@ȴ Y@RYȳ @@7 YD@̳ ?Xeг @h@(x@crC[ |B @@-Y@RYC[ @@|B YD@ C[ ?1eC[ @h@(x@cr  @@ Y@RY @@ YD@ ? e @h@(x@crYR d@{ @@p{ Y@RYYR @@d@{ YD@YR ?7eYR @h@(x@cr Tp @@h Y@RY @@Tp YD@ ?e Ssh@ x@Rsiػ@@DsSsi4ji@sSsi4PiTػwi8@h@)x@Rs6" " @@DsSs6" 07" 6" @sSs6" 0P6" e" w6" 8@h@)x@Rs@ IA @@ GA EP@DsSs@ pG8@ PIA w@ 8@h@)x@RsRoo@@oEP @DsSsRopG8Sol owRo8@h@)x@r@x,r@$.rP@Dsr pG8 hW4N wܷ 8@h@)x@r 3l TƗ @@Dsr 3l , 4l 3l @sr 3l , P3l h;TƗ w3l 8@h@)x@r | @@Dsr0 00 0 @sr0 0P$ 8| w( 8@h@)x@rЛ &Y@@DsrЛ 0ћ Л @srЛ 0PЛ 0&YwЛ 8@h@)x@rЛ &Y@@DsrЛ 0ћ Л @srЛ 0PЛ 0&YwЛ 8@h@)x@r0z H"@@Dsr@z 0@{ @z @sr@z 0P4z .H"w8z 8@h@)x@r: x @@Dsr: 0: : @sr: 0P: \x w: 8@h@)x@r  @@Dsr 4  @sr 4P  w 8@h@)x@r e. . @@Dsr e. , f. e. @sr e. , Pe. b. we. 8@h@)x@rHk|@@EP"@DsrPkpG8Plc|wPk8@h@)x@r@TA@@Dsr@0@@@sr@0P@LcTAw@8@h@)x@rXty@@DsrY4ZY@srY4PXMtywX8@h@)x@r@# lA$ @@DsrP# 0P# P# @srP# 0PD# HVlA$ wH# 8@h@)x@r@# lA$ @@DsrP# 0P# P# @srP# 0PD# HVlA$ wH# 8@h@)x@r @@Dsr0000@sr00P$(Mw(8@h@)x@rl j @@Dsr , @sr , Pp P`j wt 8@h@)x@pdv V@@Dsppv4pvpv@sppv4PhvL Vwlv8:-1995.m<POZV32h@ x@rF duG @@8 $RF $@duG D$F #,F rh@k_x@rȀ  @@` (RȀ (@ D(̀ 'XЀ rh@+ x@r> |T? @@0T? (R> (@|T? D(> 'K> rh@< x@rx| @@00Rx0@| D0|/rh@c x@rX t @@hr 0RX 0@t D0\ /` 25h@{rx@r$ DГ @@Xã 4R$ 4@DГ D4$ 3$ 26h@( x@rL @@h4RL 4@D4L 3,9L 27h@Rx@r오 0 @@, 4R오 4@0 D4 3` rh@Do x@r d @@| 0R0@ d D0/%rh@x@rg ߒ@@@a 0Rg 0@ߒD0g /`g rh@(x@r V @@ɢ 2R 2@V D2 1\- rh@x@r<,<@@|<4R<,4@<D4@,3T0D,rh@!x@r::@@B:4R:4@:D4:3I:@h@(x@rXu@@躬8RXu8@D8\u7&`u@h@(x@r= d]> @@= :R= :@d]> D:= 9D^= @h@(x@r` J@@J<R` <@JD<d ;*h @h@(x@rN}@x,r@$.r<R' <@4 D<' ;2' @h@(x@cr0 j1 @@1 Y@RY0 @@j1 YD@0 ?@Pe0 @h@(x@cr$k \% @@ Y@RY$k @@\% YD@(k ?dXe,k @h@(x@cr& D @@ Y@RY& @@D YD@& ?@ae& @h@(x@cri ak @@($k Y@RYi @@ak YD@i ?jei @h@(x@crYR d@{ @@p{ Y@RYYR @@d@{ YD@YR ?7eYR @h@(x@cr Tp @@h Y@RY @@Tp YD@ ?e @h@(x@cr@ * @@H\* Y@RY@ @@* YD@D ?EeH @h@(x@crШ0 T1 @@@1 Y@RYШ0 @@T1 YD@Ԩ0 ?`oeب0 @h@(x@Rs+ l @@DsSs+ + @sSs+ D+ $l w+ Ssh@ x@Rsiػ@@DsSsi4ji@sSsi4PiTػwi8@h@)x@Rs@ IA @@ GA EP@DsSs@ pG8@ PIA w@ 8@h@)x@Rs@ IA @@ GA EP@DsSs@ pG8@ PIA w@ 8@h@)x@RsRoo@@oEP @DsSsRopG8Sol owRo8@h@)x@Rs`b ؞@@DsSspb 0pb pb @sSspb 0Pdb \9؞whb 8@h@)x@RsqT@@DsSsr,sr@sSsr, PqTTwq8@h@)x@r D@@Dsr 4  @sr 4P HDw 8@h@)x@r(P @@ EP@Dsr0PpG80Qt= w0P8@h@)x@r(P @@ EP@Dsr0PpG80Qt= w0P8@h@)x@rc %@@EP@Dsrc pG8c .%wc 8@h@)x@rlk|@@Dsrk,lk@srk, PpkPT|wtk8@h@)x@rܷ 4N @@Dsrܷ 0ݷ ܷ @srܷ 0Pܷ p>4N wܷ 8@h@)x@r 3l TƗ @@Dsr 3l , 4l 3l @sr 3l , P3l h;TƗ w3l 8@h@)x@r | @@Dsr0 00 0 @sr0 0P$ 8| w( 8@h@)x@rt& @@Dsr& 4' & @sr& 4Px& 7w|& 8@h@)x@r: x @@Dsr: 0: : @sr: 0P: \x w: 8@h@)x@r  @@Dsr 4  @sr 4P  w 8@h@)x@rI \ @@ EP@DsrI pG8J Dl\ wI 8@h@)x@r4 | @@Dsr@ 4@ @ @sr@ 4P8 j| w< 8@h@)x@r e. . @@Dsr e. , f. e. @sr e. , Pe. b. we. 8@h@)x@rHk|@@EP"@DsrPkpG8Plc|wPk8@h@)x@r@TA@@Dsr@0@@@sr@0P@LcTAw@8@h@)x@rXty@@DsrY4ZY@srY4PXMtywX8@h@)x@r; @@ EP"@Dsr; pG8< c w; 8@h@)x@r@# lA$ @@DsrP# 0P# P# @srP# 0PD# HVlA$ wH# 8@h@)x@r @@Dsr0000@sr00P$(Mw(8@h@)x@rh<\@@=\EP"@Dsrp<\pG8p=\6wp<\8@h@)x@rl j @@Dsr , @sr , Pp P`j wt 8:-1989.mۓOZVrh@?rx@r J @@J &R &@J D& %p rh@Ox@r}# D!$ @@ $ (R}# (@D!$ D(}# '(B}# rh@%a x@rk $k @@ػk (Rk (@$k D(k 'p8k rh@< x@rx| @@00Rx0@| D0|/rh@P x@rlO tqo @@po 0RlO 0@tqo D0pO /4tO rh@ x@rn Jo @@pHo 0Rn 0@Jo D0n /Hn 26h@( x@rL @@h4RL 4@D4L 3,9L 27h@Rx@r오 0 @@, 4R오 4@0 D4 3` 28h@# x@rdP @Q @@=Q 4RdP 4@@Q D4hP 3,lP rh@Լ x@rY8 D8 @@`8 4RY8 4@D8 D4Y8 3|R Y8 rh@x@rg ߒ@@@a 0Rg 0@ߒD0g /`g rh@H 5x@rPPS4S@@S4RPPS4@4SD4TPS3`XPSrh@!x@r::@@B:4R:4@:D4:3I:rh@W x@rݟ ͠@@̠4Rݟ4@ ͠D4ݟ34pݟ@h@(x@rh  @@l8Rh 8@ D8l 7p @h@(x@r` J@@J<R` <@JD<d ;*h @h@(x@r(@@8<R(<@D<,; l0@h@(x@rN}@x,r@$.r<R' <@4 D<' ;2' drh@ x@cr t|C @@{C Y>RY >@t|C YD> =@e @h@(x@cr@b do @@pNo Y@RY@b @@do YD@Db ? KeHb @h@(x@cr& D @@ Y@RY& @@D YD@& ?@ae& @h@(x@crȳ 7 @@ȴ Y@RYȳ @@7 YD@̳ ?Xeг @h@(x@cri ak @@($k Y@RYi @@ak YD@i ?jei @h@(x@crYR d@{ @@p{ Y@RYYR @@d@{ YD@YR ?7eYR @h@(x@cr@ * @@H\* Y@RY@ @@* YD@D ?EeH @h@(x@crШ0 T1 @@@1 Y@RYШ0 @@T1 YD@Ԩ0 ?`oeب0 @h@(x@Rs07 @@DsSs@7 @7 @7 @sSs@7 H47 @7 w87 @h@)x@RsRoo@@oEP @DsSsRopG8Sol owRo8@h@)x@Rs`b ؞@@DsSspb 0pb pb @sSspb 0Pdb \9؞whb 8@h@)x@RsqT@@DsSsr,sr@sSsr, PqTTwq8@h@)x@팙r` p @@Dsrp 0p p @srp 0Pd `Wp wth 8@h@)x@rc %@@EP@Dsrc pG8c .%wc 8@h@)x@rlk|@@Dsrk,lk@srk, PpkPT|wtk8@h@)x@r4N wܷ 8@h@)x@r 3l TƗ @@Dsr 3l , 4l 3l @sr 3l , P3l h;TƗ w3l 8@h@)x@r | @@Dsr0 00 0 @sr0 0P$ 8| w( 8@h@)x@rt& @@Dsr& 4' & @sr& 4Px& 7w|& 8@h@)x@rH!& @@8Q EP@DsrP!& pG8P"& 4wP!& 8@h@)x@r: x @@Dsr: 0: : @sr: 0P: \x w: 8@h@)x@r  @@Dsr 4  @sr 4P  w 8@h@)x@rI \ @@ EP@DsrI pG8J Dl\ wI 8@h@)x@r<)j k @@DsrP)j ,P*j P)j @srP)j , P@)j dk wD)j 8@h@)x@rHk|@@EP"@DsrPkpG8Plc|wPk8@h@)x@r@TA@@Dsr@0@@@sr@0P@LcTAw@8@h@)x@rXty@@DsrY4ZY@srY4PXMtywX8@h@)x@r; @@ EP"@Dsr; pG8< c w; 8@h@)x@r @@Dsr0000@sr00P$(Mw(8@h@)x@rh<\@@=\EP"@Dsrp<\pG8p=\6wp<\8@h@)x@rl j @@Dsr , @sr , Pp P`j wt 8@h@)x@rl j @@Dsr , @sr , Pp P`j wt 8@h@)x@r@i4@@DsrPi0PiPi@srPi0PDi @@= :R= :@d]> D:= 9D^= @h@(x@r` J@@J<R` <@JD<d ;*h @h@(x@rN}@x,r@$.r<R' <@4 D<' ;2' @h@(x@cr ` s @@q Y@RY ` @@s YD@$` ?e(` @h@(x@crȳ 7 @@ȴ Y@RYȳ @@7 YD@̳ ?Xeг @h@(x@cri ak @@($k Y@RYi @@ak YD@i ?jei @h@(x@crf2 d @@ Y@RYf2 @@d YD@ f2 ?Aef2 @h@(x@cr \̍ @@ԕ Y@RY @@\̍ YD@ ?le$ @h@(x@crPb r @@X6 Y@RYPb @@r YD@Tb ?t9eXb @h@(x@cr Tp @@h Y@RY @@Tp YD@ ?e @h@(x@cr@ * @@H\* Y@RY@ @@* YD@D ?EeH @h@(x@crШ0 T1 @@@1 Y@RYШ0 @@T1 YD@Ԩ0 ?`oeب0 @h@(x@Rs+ l @@DsSs+ + @sSs+ D+ $l w+ @h@(x@Rs07 @@DsSs@7 @7 @7 @sSs@7 H47 @7 w87 @h@)x@Rs ڪ @@DsSs 8 @sSs 8R ڪ w @@h@)x@Rs`b ؞@@DsSspb 0pb pb @sSspb 0Pdb \9؞whb 8@h@)x@RsqT@@DsSsr,sr@sSsr, PqTTwq8@h@)x@RsqT@@DsSsr,sr@sSsr, PqTTwq8@h@)x@팙r` p @@Dsrp 0p p @srp 0Pd `Wp wth 8@h@)x@팙r$ x@@EhPh@Dsr$ pG8% @$xwt$ 8@h@)x@rlk|@@Dsrk,lk@srk, PpkPT|wtk8@h@)x@rlk|@@Dsrk,lk@srk, PpkPT|wtk8@h@)x@r |T? @@0T? (R> (@|T? D(> 'K> rh@s x@rs  @@! (Rs (@ D(s '"s rh@H- x@rtk =s@@ 0Rtk 0@=sD0xk /||k rh@ x@rX LI @@y 0RX 0@LI D0\ /$?` rh@ x@rn Jo @@pHo 0Rn 0@Jo D0n /Hn rh@ x@r{ <'| @@%| 0R{ 0@<'| D0{ /Y{ 27h@Rx@r오 0 @@, 4R오 4@0 D4 3` 29h@I x@rDy @@x 4RDy 4@ D4Hy 3<Ly rh@Լ x@rY8 D8 @@`8 4RY8 4@D8 D4Y8 3|R Y8 rh@P] x@rܽ b. @@{ 4Rܽ 4@b. D4 3 rh@!x@r::@@B:4R:4@:D4:3I:rh@W x@rݟ ͠@@̠4Rݟ4@ ͠D4ݟ34pݟ@h@(x@rXw @@h} 8RXw 8@D8\w 7 `w @h@(x@r z @@ z 8R8@ z D87D.@h@(x@r(x |@@8R(x 8@|D8,x 7DD0x @h@(x@r(@@8<R(<@D<,; l0@h@(x@rN}@x,r@$.r<R' <@4 D<' ;2' drh@ x@cr t|C @@{C Y>RY >@t|C YD> =@e @h@(x@cr ` s @@q Y@RY ` @@s YD@$` ?e(` @h@(x@cr^ $ @@۷ Y@RY^ @@$ YD@^ ?He^ @h@(x@crf2 d @@ Y@RYf2 @@d YD@ f2 ?Aef2 @h@(x@cr \̍ @@ԕ Y@RY @@\̍ YD@ ?le$ @h@(x@cr @@ Y@RY @@YD@ ?e @h@(x@Rs+ l @@DsSs+ + @sSs+ D+ $l w+ @h@(x@Rs07 @@DsSs@7 @7 @7 @sSs@7 H47 @7 w87 @h@(x@RsH3lD @@` EH@DsSsP3lpGP4lx3D wP3l@h@(x@RsՒ @@DsSs0Ւ 0֒ 0Ւ @sSs0Ւ  J Ւ w$Ւ @h@)x@Rs ڪ @@DsSs 8 @sSs 8R ڪ w @@h@)x@Rs`b ؞@@DsSspb 0pb pb @sSspb 0Pdb \9؞whb 8@h@)x@팙r` p @@Dsrp 0p p @srp 0Pd `Wp wth 8@h@)x@팙r$ x@@EhPh@Dsr$ pG8% @$xwt$ 8@h@)x@r@x,r@$.rP@Dsr pG8 hW @@> 8Rb= 8@#> D8b= 7\` b= @h@(x@r,b9Ȭ @@ 8R,b98@Ȭ D80b97,4b9@h@(x@cr ` s @@q Y@RY ` @@s YD@$` ?e(` @h@(x@cr \q @@tY@RY \@@q YD@\?Be\@h@(x@cr^ $ @@۷ Y@RY^ @@$ YD@^ ?He^ @h@(x@cr@b do @@pNo Y@RY@b @@do YD@Db ? KeHb @h@(x@crf2 d @@ Y@RYf2 @@d YD@ f2 ?Aef2 @h@(x@crPb r @@X6 Y@RYPb @@r YD@Tb ?t9eXb @h@(x@crPb r @@X6 Y@RYPb @@r YD@Tb ?t9eXb @h@(x@cr @@ Y@RY @@YD@ ?e @h@(x@cr  @@ Y@RY @@ YD@ ? e @h@(x@RsH3lD @@` EH@DsSsP3lpGP4lx3D wP3l@h@(x@RsՒ @@DsSs0Ւ 0֒ 0Ւ @sSs0Ւ  J Ւ w$Ւ Ssh@ x@Rsiػ@@DsSsi4ji@sSsi4PiTػwi8@h@)x@Rs ڪ @@DsSs 8 @sSs 8R ڪ w @@h@)x@Rs6" " @@DsSs6" 07" 6" @sSs6" 0P6" e" w6" 8@h@)x@팙r` p @@Dsrp 0p p @srp 0Pd `Wp wth 8@h@)x@팙r$ x@@EhPh@Dsr$ pG8% @$xwt$ 8@h@)x@r@x,r@$.rP@Dsr pG8 hW4N wܷ 8@h@)x@r:+ @@, EP@Dsr:+ pG8;+ 3 w:+ 8@h@)x@rT @@Dsr` 4` ` @sr` 4PX 2 w\ 8@h@)x@r0z H"@@Dsr@z 0@{ @z @sr@z 0P4z .H"w8z 8@h@)x@r0z H"@@Dsr@z 0@{ @z @sr@z 0P4z .H"w8z 8@h@)x@r| < @@Dsr , @sr , P ]< w 8@h@)x@r` L @@Dsrp 0p p @srp 0Pd (_L wh 8@h@)x@r e. . @@Dsr e. , f. e. @sr e. , Pe. b. we. 8@h@)x@rHk|@@EP"@DsrPkpG8Plc|wPk8@h@)x@rhw @@ܝEP"@DsrpwpG8pxL wpw8@h@)x@rhw @@ܝEP"@DsrpwpG8pxL wpw8@h@)x@r/DQ@@Dsr/40/@sr/4P//DQw/8@h@)x@r`s(@@Dsrps0ptps@srps0Pds(whs8@h@)x@r@# lA$ @@DsrP# 0P# P# @srP# 0PD# HVlA$ wH# 8@h@)x@rP$ dJ @@Dsr`$ 0`$ `$ @sr`$ 0PT$ LdJ wX$ 8@h@)x@rp@@Dsrp,pp@srp, PpMwp8@h@)x@pdv V@@Dsppv4pvpv@sppv4PhvL Vwlv8GymVektor.m%oOZVrh@x@rS rT @@rT  RS @rT D S hS xrh@?rx@r J @@J &R &@J D& %p rh@H- x@rtk =s@@ 0Rtk 0@=sD0xk /||k rh@g x@r ~ @@> 8Rb= 8@#> D8b= 7\` b= @h@(x@rXu@@躬8RXu8@D8\u7&`u@h@(x@rh  @@l8Rh 8@ D8l 7p @h@(x@cr \q @@tY@RY \@@q YD@\?Be\@h@(x@cr0 j1 @@1 Y@RY0 @@j1 YD@0 ?@Pe0 @h@(x@cr@b do @@pNo Y@RY@b @@do YD@Db ? KeHb @h@(x@cr$k \% @@ Y@RY$k @@\% YD@(k ?dXe,k @h@(x@cr& D @@ Y@RY& @@D YD@& ?@ae& @h@(x@crC[ |B @@-Y@RYC[ @@|B YD@ C[ ?1eC[ @h@(x@cr  @@ Y@RY @@ YD@ ? e @h@(x@crYR d@{ @@p{ Y@RYYR @@d@{ YD@YR ?7eYR @h@(x@RsՒ @@DsSs0Ւ 0֒ 0Ւ @sSs0Ւ  J Ւ w$Ւ Ssh@ x@Rsiػ@@DsSsi4ji@sSsi4PiTػwi8@h@)x@Rs6" " @@DsSs6" 07" 6" @sSs6" 0P6" e" w6" 8@h@)x@Rs@ IA @@ GA EP@DsSs@ pG8@ PIA w@ 8@h@)x@RsRoo@@oEP @DsSsRopG8Sol owRo8@h@)x@r@x,r@$.rP@Dsr pG8 hW4N wܷ 8@h@)x@r | @@Dsr0 00 0 @sr0 0P$ 8| w( 8@h@)x@rT @@Dsr` 4` ` @sr` 4PX 2 w\ 8@h@)x@rЛ &Y@@DsrЛ 0ћ Л @srЛ 0PЛ 0&YwЛ 8@h@)x@rЛ &Y@@DsrЛ 0ћ Л @srЛ 0PЛ 0&YwЛ 8@h@)x@r0z H"@@Dsr@z 0@{ @z @sr@z 0P4z .H"w8z 8@h@)x@r: x @@Dsr: 0: : @sr: 0P: \x w: 8@h@)x@r` L @@Dsrp 0p p @srp 0Pd (_L wh 8@h@)x@r e. . @@Dsr e. , f. e. @sr e. , Pe. b. we. 8@h@)x@r e. . @@Dsr e. , f. e. @sr e. , Pe. b. we. 8@h@)x@r@TA@@Dsr@0@@@sr@0P@LcTAw@8@h@)x@r`s(@@Dsrps0ptps@srps0Pds(whs8@h@)x@r@# lA$ @@DsrP# 0P# P# @srP# 0PD# HVlA$ wH# 8@h@)x@r@# lA$ @@DsrP# 0P# P# @srP# 0PD# HVlA$ wH# 8@h@)x@r @@Dsr0000@sr00P$(Mw(8@h@)x@pdv V@@Dsppv4pvpv@sppv4PhvL Vwlv8:-1994.m OZV32h@ x@rF duG @@8 $RF $@duG D$F #,F rh@k_x@rȀ  @@` (RȀ (@ D(̀ 'XЀ rh@< x@rx| @@00Rx0@| D0|/rh@5 x@r(0H ,H @@H 0R(0H 0@,H D0,0H /f00H rh@c x@rX t @@hr 0RX 0@t D0\ /` 25h@{rx@r$ DГ @@Xã 4R$ 4@DГ D4$ 3$ 26h@( x@rL @@h4RL 4@D4L 3,9L rh@9) x@rin& @@9o0Rin0@& D0in/L4inrh@5 x@rxK L @@HL 0RxK 0@L D0|K /؉K rh@x@rg ߒ@@@a 0Rg 0@ߒD0g /`g rh@(x@r V @@ɢ 2R 2@V D2 1\- rh@x@r<,<@@|<4R<,4@<D4@,3T0D,@h@(x@r,b9Ȭ @@ 8R,b98@Ȭ D80b97,4b9@h@(x@rXu@@躬8RXu8@D8\u7&`u@h@(x@r= d]> @@= :R= :@d]> D:= 9D^= @h@(x@r` J@@J<R` <@JD<d ;*h @h@(x@cr0 j1 @@1 Y@RY0 @@j1 YD@0 ?@Pe0 @h@(x@cr$k \% @@ Y@RY$k @@\% YD@(k ?dXe,k @h@(x@cr& D @@ Y@RY& @@D YD@& ?@ae& @h@(x@cri ak @@($k Y@RYi @@ak YD@i ?jei @h@(x@crC[ |B @@-Y@RYC[ @@|B YD@ C[ ?1eC[ @h@(x@crYR d@{ @@p{ Y@RYYR @@d@{ YD@YR ?7eYR @h@(x@cr Tp @@h Y@RY @@Tp YD@ ?e @h@(x@cr@ * @@H\* Y@RY@ @@* YD@D ?EeH @h@(x@crШ0 T1 @@@1 Y@RYШ0 @@T1 YD@Ԩ0 ?`oeب0 Ssh@ x@Rsiػ@@DsSsi4ji@sSsi4PiTػwi8@h@)x@Rs@ IA @@ GA EP@DsSs@ pG8@ PIA w@ 8@h@)x@Rs@ IA @@ GA EP@DsSs@ pG8@ PIA w@ 8@h@)x@RsRoo@@oEP @DsSsRopG8Sol owRo8@h@)x@RsqT@@DsSsr,sr@sSsr, PqTTwq8@h@)x@r  w @@q EP@Dsr  pG8  Jw w  8@h@)x@r D@@Dsr 4  @sr 4P HDw 8@h@)x@r D@@Dsr 4  @sr 4P HDw 8@h@)x@r(P @@ EP@Dsr0PpG80Qt= w0P8@h@)x@rc %@@EP@Dsrc pG8c .%wc 8@h@)x@rX2E  @@8IE EP@Dsr`2E pG8`3E B w`2E 8@h@)x@rܷ 4N @@Dsrܷ 0ݷ ܷ @srܷ 0Pܷ p>4N wܷ 8@h@)x@r 3l TƗ @@Dsr 3l , 4l 3l @sr 3l , P3l h;TƗ w3l 8@h@)x@r | @@Dsr0 00 0 @sr0 0P$ 8| w( 8@h@)x@r0z H"@@Dsr@z 0@{ @z @sr@z 0P4z .H"w8z 8@h@)x@r: x @@Dsr: 0: : @sr: 0P: \x w: 8@h@)x@r  @@Dsr 4  @sr 4P  w 8@h@)x@rI \ @@ EP@DsrI pG8J Dl\ wI 8@h@)x@r e. . @@Dsr e. , f. e. @sr e. , Pe. b. we. 8@h@)x@rHk|@@EP"@DsrPkpG8Plc|wPk8@h@)x@r@TA@@Dsr@0@@@sr@0P@LcTAw@8@h@)x@rXty@@DsrY4ZY@srY4PXMtywX8@h@)x@rXty@@DsrY4ZY@srY4PXMtywX8@h@)x@r@# lA$ @@DsrP# 0P# P# @srP# 0PD# HVlA$ wH# 8@h@)x@r @@Dsr0000@sr00P$(Mw(8@h@)x@rh<\@@=\EP"@Dsrp<\pG8p=\6wp<\8@h@)x@rl j @@Dsr , @sr , Pp P`j wt 8:-1988.miOZV24h@&} x@r 80 @@/ "R "@80 D" !E rh@?rx@r J @@J &R &@J D& %p rh@Ox@r}# D!$ @@ $ (R}# (@D!$ D(}# '(B}# rh@%a x@rk $k @@ػk (Rk (@$k D(k 'p8k rh@< x@rx| @@00Rx0@| D0|/rh@P x@rlO tqo @@po 0RlO 0@tqo D0pO /4tO 23h@z x@re f @@Pf 2Re 2@f D2e 1P|e 25h@{rx@r$ DГ @@Xã 4R$ 4@DГ D4$ 3$ 27h@Rx@r오 0 @@, 4R오 4@0 D4 3` 28h@# x@rdP @Q @@=Q 4RdP 4@@Q D4hP 3,lP rh@Do x@r d @@| 0R0@ d D0/%rh@H 5x@rPPS4S@@S4RPPS4@4SD4TPS3`XPSrh@x@r<,<@@|<4R<,4@<D4@,3T0D,rh@W x@rݟ ͠@@̠4Rݟ4@ ͠D4ݟ34pݟ@h@(x@rh  @@l8Rh 8@ D8l 7p @h@(x@r` J@@J<R` <@JD<d ;*h @h@(x@r(@@8<R(<@D<,; l0@h@(x@rN}@x,r@$.r<R' <@4 D<' ;2' drh@ x@cr t|C @@{C Y>RY >@t|C YD> =@e @h@(x@cr@b do @@pNo Y@RY@b @@do YD@Db ? KeHb @h@(x@cr& D @@ Y@RY& @@D YD@& ?@ae& @h@(x@crȳ 7 @@ȴ Y@RYȳ @@7 YD@̳ ?Xeг @h@(x@cri ak @@($k Y@RYi @@ak YD@i ?jei @h@(x@crYR d@{ @@p{ Y@RYYR @@d@{ YD@YR ?7eYR @h@(x@cr Tp @@h Y@RY @@Tp YD@ ?e @h@(x@crШ0 T1 @@@1 Y@RYШ0 @@T1 YD@Ԩ0 ?`oeب0 @h@(x@Rs07 @@DsSs@7 @7 @7 @sSs@7 H47 @7 w87 @h@)x@Rs@ IA @@ GA EP@DsSs@ pG8@ PIA w@ 8@h@)x@RsRoo@@oEP @DsSsRopG8Sol owRo8@h@)x@Rs`b ؞@@DsSspb 0pb pb @sSspb 0Pdb \9؞whb 8@h@)x@RsqT@@DsSsr,sr@sSsr, PqTTwq8@h@)x@r(P @@ EP@Dsr0PpG80Qt= w0P8@h@)x@rc %@@EP@Dsrc pG8c .%wc 8@h@)x@rlk|@@Dsrk,lk@srk, PpkPT|wtk8@h@)x@r4N wܷ 8@h@)x@r 3l TƗ @@Dsr 3l , 4l 3l @sr 3l , P3l h;TƗ w3l 8@h@)x@r | @@Dsr0 00 0 @sr0 0P$ 8| w( 8@h@)x@rt& @@Dsr& 4' & @sr& 4Px& 7w|& 8@h@)x@rH!& @@8Q EP@DsrP!& pG8P"& 4wP!& 8@h@)x@r: x @@Dsr: 0: : @sr: 0P: \x w: 8@h@)x@r  @@Dsr 4  @sr 4P  w 8@h@)x@rI \ @@ EP@DsrI pG8J Dl\ wI 8@h@)x@r<)j k @@DsrP)j ,P*j P)j @srP)j , P@)j dk wD)j 8@h@)x@rHk|@@EP"@DsrPkpG8Plc|wPk8@h@)x@r@TA@@Dsr@0@@@sr@0P@LcTAw@8@h@)x@rXty@@DsrY4ZY@srY4PXMtywX8@h@)x@r; @@ EP"@Dsr; pG8< c w; 8@h@)x@r @@Dsr0000@sr00P$(Mw(8@h@)x@rh<\@@=\EP"@Dsrp<\pG8p=\6wp<\8@h@)x@rh<\@@=\EP"@Dsrp<\pG8p=\6wp<\8@h@)x@rl j @@Dsr , @sr , Pp P`j wt 8@h@)x@r@i4@@DsrPi0PiPi@srPi0PDi |T? @@0T? (R> (@|T? D(> 'K> rh@s x@rs  @@! (Rs (@ D(s '"s rh@P x@rlO tqo @@po 0RlO 0@tqo D0pO /4tO rh@ x@rX LI @@y 0RX 0@LI D0\ /$?` rh@d1x@rG] ] @@] 0RG] 0@] D0G] /4PG] 26h@( x@rL @@h4RL 4@D4L 3,9L 28h@# x@rdP @Q @@=Q 4RdP 4@@Q D4hP 3,lP 29h@I x@rDy @@x 4RDy 4@ D4Hy 3<Ly rh@] x@r đ@@ 4R 4@đD4 3 I rh@tE+ x@r8BX @@= :R= :@d]> D:= 9D^= @h@(x@r` J@@J<R` <@JD<d ;*h @h@(x@rN}@x,r@$.r<R' <@4 D<' ;2' @h@(x@cr ` s @@q Y@RY ` @@s YD@$` ?e(` @h@(x@crȳ 7 @@ȴ Y@RYȳ @@7 YD@̳ ?Xeг @h@(x@cri ak @@($k Y@RYi @@ak YD@i ?jei @h@(x@crf2 d @@ Y@RYf2 @@d YD@ f2 ?Aef2 @h@(x@crPb r @@X6 Y@RYPb @@r YD@Tb ?t9eXb @h@(x@cr Tp @@h Y@RY @@Tp YD@ ?e @h@(x@cr@ * @@H\* Y@RY@ @@* YD@D ?EeH @h@(x@crШ0 T1 @@@1 Y@RYШ0 @@T1 YD@Ԩ0 ?`oeب0 @h@(x@Rs+ l @@DsSs+ + @sSs+ D+ $l w+ @h@(x@Rs07 @@DsSs@7 @7 @7 @sSs@7 H47 @7 w87 @h@)x@Rs`b ؞@@DsSspb 0pb pb @sSspb 0Pdb \9؞whb 8@h@)x@Rs`b ؞@@DsSspb 0pb pb @sSspb 0Pdb \9؞whb 8@h@)x@RsqT@@DsSsr,sr@sSsr, PqTTwq8@h@)x@팙r` p @@Dsrp 0p p @srp 0Pd `Wp wth 8@h@)x@팙r$ x@@EhPh@Dsr$ pG8% @$xwt$ 8@h@)x@rlk|@@Dsrk,lk@srk, PpkPT|wtk8@h@)x@rlk|@@Dsrk,lk@srk, PpkPT|wtk8@h@)x@r |T? @@0T? (R> (@|T? D(> 'K> rh@s x@rs  @@! (Rs (@ D(s '"s rh@H- x@rtk =s@@ 0Rtk 0@=sD0xk /||k rh@ x@rX LI @@y 0RX 0@LI D0\ /$?` rh@ x@rn Jo @@pHo 0Rn 0@Jo D0n /Hn rh@ x@r{ <'| @@%| 0R{ 0@<'| D0{ /Y{ 27h@Rx@r오 0 @@, 4R오 4@0 D4 3` 29h@I x@rDy @@x 4RDy 4@ D4Hy 3<Ly rh@Լ x@rY8 D8 @@`8 4RY8 4@D8 D4Y8 3|R Y8 rh@P] x@rܽ b. @@{ 4Rܽ 4@b. D4 3 rh@!x@r::@@B:4R:4@:D4:3I:rh@W x@rݟ ͠@@̠4Rݟ4@ ͠D4ݟ34pݟ@h@(x@rXw @@h} 8RXw 8@D8\w 7 `w @h@(x@r(x |@@8R(x 8@|D8,x 7DD0x @h@(x@r` J@@J<R` <@JD<d ;*h @h@(x@r(@@8<R(<@D<,; l0@h@(x@rN}@x,r@$.r<R' <@4 D<' ;2' drh@ x@cr t|C @@{C Y>RY >@t|C YD> =@e @h@(x@cr ` s @@q Y@RY ` @@s YD@$` ?e(` @h@(x@crȳ 7 @@ȴ Y@RYȳ @@7 YD@̳ ?Xeг @h@(x@crf2 d @@ Y@RYf2 @@d YD@ f2 ?Aef2 @h@(x@cr \̍ @@ԕ Y@RY @@\̍ YD@ ?le$ @h@(x@cr @@ Y@RY @@YD@ ?e @h@(x@cr@ * @@H\* Y@RY@ @@* YD@D ?EeH @h@(x@Rs+ l @@DsSs+ + @sSs+ D+ $l w+ @h@(x@Rs07 @@DsSs@7 @7 @7 @sSs@7 H47 @7 w87 @h@(x@RsH3lD @@` EH@DsSsP3lpGP4lx3D wP3l@h@)x@Rs ڪ @@DsSs 8 @sSs 8R ڪ w @@h@)x@Rs`b ؞@@DsSspb 0pb pb @sSspb 0Pdb \9؞whb 8@h@)x@팙r` p @@Dsrp 0p p @srp 0Pd `Wp wth 8@h@)x@팙r$ x@@EhPh@Dsr$ pG8% @$xwt$ 8@h@)x@팙r$ x@@EhPh@Dsr$ pG8% @$xwt$ 8@h@)x@rlk|@@Dsrk,lk@srk, PpkPT|wtk8@h@)x@r @@> 8Rb= 8@#> D8b= 7\` b= drh@ x@cr t|C @@{C Y>RY >@t|C YD> =@e @h@(x@cr ` s @@q Y@RY ` @@s YD@$` ?e(` @h@(x@cr \q @@tY@RY \@@q YD@\?Be\@h@(x@cr^ $ @@۷ Y@RY^ @@$ YD@^ ?He^ @h@(x@crf2 d @@ Y@RYf2 @@d YD@ f2 ?Aef2 @h@(x@cr \̍ @@ԕ Y@RY @@\̍ YD@ ?le$ @h@(x@crPb r @@X6 Y@RYPb @@r YD@Tb ?t9eXb @h@(x@cr @@ Y@RY @@YD@ ?e @h@(x@Rs+ l @@DsSs+ + @sSs+ D+ $l w+ @h@(x@Rs07 @@DsSs@7 @7 @7 @sSs@7 H47 @7 w87 @h@(x@RsH3lD @@` EH@DsSsP3lpGP4lx3D wP3l@h@(x@RsՒ @@DsSs0Ւ 0֒ 0Ւ @sSs0Ւ  J Ւ w$Ւ @h@)x@Rs ڪ @@DsSs 8 @sSs 8R ڪ w @@h@)x@Rs6" " @@DsSs6" 07" 6" @sSs6" 0P6" e" w6" 8@h@)x@RsqT@@DsSsr,sr@sSsr, PqTTwq8@h@)x@팙r` p @@Dsrp 0p p @srp 0Pd `Wp wth 8@h@)x@팙r$ x@@EhPh@Dsr$ pG8% @$xwt$ 8@h@)x@r@x,r@$.rP@Dsr pG8 hW @@> 8Rb= 8@#> D8b= 7\` b= @h@(x@r,b9Ȭ @@ 8R,b98@Ȭ D80b97,4b9@h@(x@rh  @@l8Rh 8@ D8l 7p @h@(x@cr \q @@tY@RY \@@q YD@\?Be\@h@(x@cr0 j1 @@1 Y@RY0 @@j1 YD@0 ?@Pe0 @h@(x@cr@b do @@pNo Y@RY@b @@do YD@Db ? KeHb @h@(x@cr@b do @@pNo Y@RY@b @@do YD@Db ? KeHb @h@(x@cr& D @@ Y@RY& @@D YD@& ?@ae& @h@(x@crPb r @@X6 Y@RYPb @@r YD@Tb ?t9eXb @h@(x@crC[ |B @@-Y@RYC[ @@|B YD@ C[ ?1eC[ @h@(x@cr  @@ Y@RY @@ YD@ ? e @h@(x@crYR d@{ @@p{ Y@RYYR @@d@{ YD@YR ?7eYR @h@(x@RsՒ @@DsSs0Ւ 0֒ 0Ւ @sSs0Ւ  J Ւ w$Ւ Ssh@ x@Rsiػ@@DsSsi4ji@sSsi4PiTػwi8@h@)x@Rs ڪ @@DsSs 8 @sSs 8R ڪ w @@h@)x@Rs6" " @@DsSs6" 07" 6" @sSs6" 0P6" e" w6" 8@h@)x@Rs@ IA @@ GA EP@DsSs@ pG8@ PIA w@ 8@h@)x@RsRoo@@oEP @DsSsRopG8Sol owRo8@h@)x@r@x,r@$.rP@Dsr pG8 hW4N wܷ 8@h@)x@r | @@Dsr0 00 0 @sr0 0P$ 8| w( 8@h@)x@rT @@Dsr` 4` ` @sr` 4PX 2 w\ 8@h@)x@rЛ &Y@@DsrЛ 0ћ Л @srЛ 0PЛ 0&YwЛ 8@h@)x@rЛ &Y@@DsrЛ 0ћ Л @srЛ 0PЛ 0&YwЛ 8@h@)x@r0z H"@@Dsr@z 0@{ @z @sr@z 0P4z .H"w8z 8@h@)x@r: x @@Dsr: 0: : @sr: 0P: \x w: 8@h@)x@r` L @@Dsrp 0p p @srp 0Pd (_L wh 8@h@)x@r e. . @@Dsr e. , f. e. @sr e. , Pe. b. we. 8@h@)x@r e. . @@Dsr e. , f. e. @sr e. , Pe. b. we. 8@h@)x@r@TA@@Dsr@0@@@sr@0P@LcTAw@8@h@)x@rhw @@ܝEP"@DsrpwpG8pxL wpw8@h@)x@r`s(@@Dsrps0ptps@srps0Pds(whs8@h@)x@r`s(@@Dsrps0ptps@srps0Pds(whs8@h@)x@r@# lA$ @@DsrP# 0P# P# @srP# 0PD# HVlA$ wH# 8@h@)x@rp@@Dsrp,pp@srp, PpMwp8@h@)x@pdv V@@Dsppv4pvpv@sppv4PhvL Vwlv8:-1993.mOZV32h@ x@rF duG @@8 $RF $@duG D$F #,F rh@k_x@rȀ  @@` (RȀ (@ D(̀ 'XЀ rh@< x@rx| @@00Rx0@| D0|/rh@5 x@r(0H ,H @@H 0R(0H 0@,H D0,0H /f00H rh@c x@rX t @@hr 0RX 0@t D0\ /` 23h@z x@re f @@Pf 2Re 2@f D2e 1P|e 26h@( x@rL @@h4RL 4@D4L 3,9L rh@9) x@rin& @@9o0Rin0@& D0in/L4inrh@5 x@rxK L @@HL 0RxK 0@L D0|K /؉K rh@x@rg ߒ@@@a 0Rg 0@ߒD0g /`g rh@(x@r V @@ɢ 2R 2@V D2 1\- rh@H 5x@rPPS4S@@S4RPPS4@4SD4TPS3`XPS@h@(x@r(x |@@8R(x 8@|D8,x 7DD0x @h@(x@r,b9Ȭ @@ 8R,b98@Ȭ D80b97,4b9@h@(x@rXu@@躬8RXu8@D8\u7&`u@h@(x@r= d]> @@= :R= :@d]> D:= 9D^= @h@(x@cr^ $ @@۷ Y@RY^ @@$ YD@^ ?He^ @h@(x@cr0 j1 @@1 Y@RY0 @@j1 YD@0 ?@Pe0 @h@(x@cr$k \% @@ Y@RY$k @@\% YD@(k ?dXe,k @h@(x@cr& D @@ Y@RY& @@D YD@& ?@ae& @h@(x@crC[ |B @@-Y@RYC[ @@|B YD@ C[ ?1eC[ @h@(x@crYR d@{ @@p{ Y@RYYR @@d@{ YD@YR ?7eYR @h@(x@cr Tp @@h Y@RY @@Tp YD@ ?e @h@(x@crШ0 T1 @@@1 Y@RYШ0 @@T1 YD@Ԩ0 ?`oeب0 @h@(x@RsՒ @@DsSs0Ւ 0֒ 0Ւ @sSs0Ւ  J Ւ w$Ւ Ssh@ x@Rsiػ@@DsSsi4ji@sSsi4PiTػwi8@h@)x@Rs6" " @@DsSs6" 07" 6" @sSs6" 0P6" e" w6" 8@h@)x@Rs@ IA @@ GA EP@DsSs@ pG8@ PIA w@ 8@h@)x@RsRoo@@oEP @DsSsRopG8Sol owRo8@h@)x@RsqT@@DsSsr,sr@sSsr, PqTTwq8@h@)x@r  w @@q EP@Dsr  pG8  Jw w  8@h@)x@r D@@Dsr 4  @sr 4P HDw 8@h@)x@r D@@Dsr 4  @sr 4P HDw 8@h@)x@r(P @@ EP@Dsr0PpG80Qt= w0P8@h@)x@rc %@@EP@Dsrc pG8c .%wc 8@h@)x@rX2E  @@8IE EP@Dsr`2E pG8`3E B w`2E 8@h@)x@rܷ 4N @@Dsrܷ 0ݷ ܷ @srܷ 0Pܷ p>4N wܷ 8@h@)x@r 3l TƗ @@Dsr 3l , 4l 3l @sr 3l , P3l h;TƗ w3l 8@h@)x@r | @@Dsr0 00 0 @sr0 0P$ 8| w( 8@h@)x@rT @@Dsr` 4` ` @sr` 4PX 2 w\ 8@h@)x@r0z H"@@Dsr@z 0@{ @z @sr@z 0P4z .H"w8z 8@h@)x@r: x @@Dsr: 0: : @sr: 0P: \x w: 8@h@)x@r  @@Dsr 4  @sr 4P  w 8@h@)x@r` L @@Dsrp 0p p @srp 0Pd (_L wh 8@h@)x@r e. . @@Dsr e. , f. e. @sr e. , Pe. b. we. 8@h@)x@rHk|@@EP"@DsrPkpG8Plc|wPk8@h@)x@r@TA@@Dsr@0@@@sr@0P@LcTAw@8@h@)x@rXty@@DsrY4ZY@srY4PXMtywX8@h@)x@r`s(@@Dsrps0ptps@srps0Pds(whs8@h@)x@r@# lA$ @@DsrP# 0P# P# @srP# 0PD# HVlA$ wH# 8@h@)x@r @@Dsr0000@sr00P$(Mw(8@h@)x@rh<\@@=\EP"@Dsrp<\pG8p=\6wp<\8@h@)x@pdv V@@Dsppv4pvpv@sppv4PhvL Vwlv824h@&} x@r 80 @@/ "R "@80 D" !E rh@?rx@r J @@J &R &@J D& %p rh@Ox@r}# D!$ @@ $ (R}# (@D!$ D(}# '(B}# rh@< x@rx| @@00Rx0@| D0|/rh@P x@rlO tqo @@po 0RlO 0@tqo D0pO /4tO rh@(9 x@r7 8 @@m8 0R7 0@8 D07 /k7 23h@z x@re f @@Pf 2Re 2@f D2e 1P|e 25h@{rx@r$ DГ @@Xã 4R$ 4@DГ D4$ 3$ 27h@Rx@r오 0 @@, 4R오 4@0 D4 3` rh@5 x@rxK L @@HL 0RxK 0@L D0|K /؉K rh@Do x@r d @@| 0R0@ d D0/%rh@H 5x@rPPS4S@@S4RPPS4@4SD4TPS3`XPSrh@x@r<,<@@|<4R<,4@<D4@,3T0D,@h@(x@rXu@@躬8RXu8@D8\u7&`u@h@(x@rh  @@l8Rh 8@ D8l 7p @h@(x@r= d]> @@= :R= :@d]> D:= 9D^= @h@(x@r(@@8<R(<@D<,; l0@h@(x@rN}@x,r@$.r<R' <@4 D<' ;2' @h@(x@cr@b do @@pNo Y@RY@b @@do YD@Db ? KeHb @h@(x@cr$k \% @@ Y@RY$k @@\% YD@(k ?dXe,k @h@(x@cr& D @@ Y@RY& @@D YD@& ?@ae& @h@(x@crȳ 7 @@ȴ Y@RYȳ @@7 YD@̳ ?Xeг @h@(x@cri ak @@($k Y@RYi @@ak YD@i ?jei @h@(x@cr  @@ Y@RY @@ YD@ ? e @h@(x@crYR d@{ @@p{ Y@RYYR @@d@{ YD@YR ?7eYR @h@(x@cr Tp @@h Y@RY @@Tp YD@ ?e @h@(x@crШ0 T1 @@@1 Y@RYШ0 @@T1 YD@Ԩ0 ?`oeب0 @h@)x@Rs@ IA @@ GA EP@DsSs@ pG8@ PIA w@ 8@h@)x@RsRoo@@oEP @DsSsRopG8Sol owRo8@h@)x@Rs`b ؞@@DsSspb 0pb pb @sSspb 0Pdb \9؞whb 8@h@)x@RsqT@@DsSsr,sr@sSsr, PqTTwq8@h@)x@r  w @@q EP@Dsr  pG8  Jw w  8@h@)x@r(P @@ EP@Dsr0PpG80Qt= w0P8@h@)x@rc %@@EP@Dsrc pG8c .%wc 8@h@)x@rlk|@@Dsrk,lk@srk, PpkPT|wtk8@h@)x@rX2E  @@8IE EP@Dsr`2E pG8`3E B w`2E 8@h@)x@rܷ 4N @@Dsrܷ 0ݷ ܷ @srܷ 0Pܷ p>4N wܷ 8@h@)x@r 3l TƗ @@Dsr 3l , 4l 3l @sr 3l , P3l h;TƗ w3l 8@h@)x@r | @@Dsr0 00 0 @sr0 0P$ 8| w( 8@h@)x@rt& @@Dsr& 4' & @sr& 4Px& 7w|& 8@h@)x@r0z H"@@Dsr@z 0@{ @z @sr@z 0P4z .H"w8z 8@h@)x@r: x @@Dsr: 0: : @sr: 0P: \x w: 8@h@)x@r  @@Dsr 4  @sr 4P  w 8@h@)x@rI \ @@ EP@DsrI pG8J Dl\ wI 8@h@)x@rHk|@@EP"@DsrPkpG8Plc|wPk8@h@)x@r@TA@@Dsr@0@@@sr@0P@LcTAw@8@h@)x@rXty@@DsrY4ZY@srY4PXMtywX8@h@)x@r; @@ EP"@Dsr; pG8< c w; 8@h@)x@r @@Dsr0000@sr00P$(Mw(8@h@)x@rh<\@@=\EP"@Dsrp<\pG8p=\6wp<\8@h@)x@rh<\@@=\EP"@Dsrp<\pG8p=\6wp<\8@h@)x@rl j @@Dsr , @sr , Pp P`j wt 8@h@)x@r@i4@@DsrPi0PiPi@srPi0PDi |T? @@0T? (R> (@|T? D(> 'K> rh@s x@rs  @@! (Rs (@ D(s '"s rh@P x@rlO tqo @@po 0RlO 0@tqo D0pO /4tO rh@ x@rX LI @@y 0RX 0@LI D0\ /$?` 25h@{rx@r$ DГ @@Xã 4R$ 4@DГ D4$ 3$ 26h@( x@rL @@h4RL 4@D4L 3,9L 28h@# x@rdP @Q @@=Q 4RdP 4@@Q D4hP 3,lP 29h@I x@rDy @@x 4RDy 4@ D4Hy 3<Ly rh@] x@r đ@@ 4R 4@đD4 3 I rh@x@rg ߒ@@@a 0Rg 0@ߒD0g /`g rh@(x@r V @@ɢ 2R 2@V D2 1\- rh@x@r<,<@@|<4R<,4@<D4@,3T0D,rh@!x@r::@@B:4R:4@:D4:3I:@h@(x@r7y đ?@@6y 6R7y 6@đ?D67y 587y @h@(x@r= d]> @@= :R= :@d]> D:= 9D^= @h@(x@r` J@@J<R` <@JD<d ;*h @h@(x@rN}@x,r@$.r<R' <@4 D<' ;2' @h@(x@cr ` s @@q Y@RY ` @@s YD@$` ?e(` @h@(x@crȳ 7 @@ȴ Y@RYȳ @@7 YD@̳ ?Xeг @h@(x@cri ak @@($k Y@RYi @@ak YD@i ?jei @h@(x@crf2 d @@ Y@RYf2 @@d YD@ f2 ?Aef2 @h@(x@cr Tp @@h Y@RY @@Tp YD@ ?e @h@(x@cr@ * @@H\* Y@RY@ @@* YD@D ?EeH @h@(x@crШ0 T1 @@@1 Y@RYШ0 @@T1 YD@Ԩ0 ?`oeب0 @h@(x@Rs+ l @@DsSs+ + @sSs+ D+ $l w+ @h@(x@Rs07 @@DsSs@7 @7 @7 @sSs@7 H47 @7 w87 @h@)x@RsRoo@@oEP @DsSsRopG8Sol owRo8@h@)x@Rs`b ؞@@DsSspb 0pb pb @sSspb 0Pdb \9؞whb 8@h@)x@Rs`b ؞@@DsSspb 0pb pb @sSspb 0Pdb \9؞whb 8@h@)x@RsqT@@DsSsr,sr@sSsr, PqTTwq8@h@)x@팙r` p @@Dsrp 0p p @srp 0Pd `Wp wth 8@h@)x@rc %@@EP@Dsrc pG8c .%wc 8@h@)x@rc %@@EP@Dsrc pG8c .%wc 8@h@)x@rlk|@@Dsrk,lk@srk, PpkPT|wtk8@h@)x@r |T? @@0T? (R> (@|T? D(> 'K> rh@s x@rs  @@! (Rs (@ D(s '"s rh@L x@r~%@x,r@$.r,RXX ,@ D, +x rh@< x@rx| @@00Rx0@| D0|/rh@ x@rX LI @@y 0RX 0@LI D0\ /$?` rh@ x@rn Jo @@pHo 0Rn 0@Jo D0n /Hn rh@ x@r{ <'| @@%| 0R{ 0@<'| D0{ /Y{ 27h@Rx@r오 0 @@, 4R오 4@0 D4 3` 29h@I x@rDy @@x 4RDy 4@ D4Hy 3<Ly rh@Լ x@rY8 D8 @@`8 4RY8 4@D8 D4Y8 3|R Y8 rh@tE+ x@r8BX RY >@t|C YD> =@e @h@(x@cr ` s @@q Y@RY ` @@s YD@$` ?e(` @h@(x@crȳ 7 @@ȴ Y@RYȳ @@7 YD@̳ ?Xeг @h@(x@crf2 d @@ Y@RYf2 @@d YD@ f2 ?Aef2 @h@(x@cr \̍ @@ԕ Y@RY @@\̍ YD@ ?le$ @h@(x@cr @@ Y@RY @@YD@ ?e @h@(x@cr@ * @@H\* Y@RY@ @@* YD@D ?EeH @h@(x@Rs+ l @@DsSs+ + @sSs+ D+ $l w+ @h@(x@Rs07 @@DsSs@7 @7 @7 @sSs@7 H47 @7 w87 @h@(x@RsH3lD @@` EH@DsSsP3lpGP4lx3D wP3l@h@)x@Rs`b ؞@@DsSspb 0pb pb @sSspb 0Pdb \9؞whb 8@h@)x@팙r` p @@Dsrp 0p p @srp 0Pd `Wp wth 8@h@)x@팙r$ x@@EhPh@Dsr$ pG8% @$xwt$ 8@h@)x@팙r$ x@@EhPh@Dsr$ pG8% @$xwt$ 8@h@)x@rlk|@@Dsrk,lk@srk, PpkPT|wtk8@h@)x@r @@> 8Rb= 8@#> D8b= 7\` b= @h@(x@r(@@8<R(<@D<,; l0drh@ x@cr t|C @@{C Y>RY >@t|C YD> =@e @h@(x@cr ` s @@q Y@RY ` @@s YD@$` ?e(` @h@(x@cr \q @@tY@RY \@@q YD@\?Be\@h@(x@cri ak @@($k Y@RYi @@ak YD@i ?jei @h@(x@crf2 d @@ Y@RYf2 @@d YD@ f2 ?Aef2 @h@(x@cr \̍ @@ԕ Y@RY @@\̍ YD@ ?le$ @h@(x@crPb r @@X6 Y@RYPb @@r YD@Tb ?t9eXb @h@(x@cr @@ Y@RY @@YD@ ?e @h@(x@cr@ * @@H\* Y@RY@ @@* YD@D ?EeH @h@(x@Rs+ l @@DsSs+ + @sSs+ D+ $l w+ @h@(x@Rs07 @@DsSs@7 @7 @7 @sSs@7 H47 @7 w87 @h@(x@RsH3lD @@` EH@DsSsP3lpGP4lx3D wP3l@h@)x@Rs ڪ @@DsSs 8 @sSs 8R ڪ w @@h@)x@Rs6" " @@DsSs6" 07" 6" @sSs6" 0P6" e" w6" 8@h@)x@RsqT@@DsSsr,sr@sSsr, PqTTwq8@h@)x@팙r` p @@Dsrp 0p p @srp 0Pd `Wp wth 8@h@)x@팙r$ x@@EhPh@Dsr$ pG8% @$xwt$ 8@h@)x@r@x,r@$.rP@Dsr pG8 hWRY >@t|C YD> =@e @h@(x@cr \q @@tY@RY \@@q YD@\?Be\@h@(x@cr^ $ @@۷ Y@RY^ @@$ YD@^ ?He^ @h@(x@cr0 j1 @@1 Y@RY0 @@j1 YD@0 ?@Pe0 @h@(x@cr \̍ @@ԕ Y@RY @@\̍ YD@ ?le$ @h@(x@cr @@ Y@RY @@YD@ ?e @h@(x@crC[ |B @@-Y@RYC[ @@|B YD@ C[ ?1eC[ @h@(x@Rs07 @@DsSs@7 @7 @7 @sSs@7 H47 @7 w87 @h@(x@RsH3lD @@` EH@DsSsP3lpGP4lx3D wP3l@h@(x@RsՒ @@DsSs0Ւ 0֒ 0Ւ @sSs0Ւ  J Ւ w$Ւ Ssh@ x@Rsiػ@@DsSsi4ji@sSsi4PiTػwi8@h@)x@Rs ڪ @@DsSs 8 @sSs 8R ڪ w @@h@)x@Rs6" " @@DsSs6" 07" 6" @sSs6" 0P6" e" w6" 8@h@)x@팙r$ x@@EhPh@Dsr$ pG8% @$xwt$ 8@h@)x@r@x,r@$.rP@Dsr pG8 hW @@> 8Rb= 8@#> D8b= 7\` b= @h@(x@r,b9Ȭ @@ 8R,b98@Ȭ D80b97,4b9@h@(x@rh  @@l8Rh 8@ D8l 7p @h@(x@cr \q @@tY@RY \@@q YD@\?Be\@h@(x@cr^ $ @@۷ Y@RY^ @@$ YD@^ ?He^ @h@(x@cr@b do @@pNo Y@RY@b @@do YD@Db ? KeHb @h@(x@cr@b do @@pNo Y@RY@b @@do YD@Db ? KeHb @h@(x@cr& D @@ Y@RY& @@D YD@& ?@ae& @h@(x@crPb r @@X6 Y@RYPb @@r YD@Tb ?t9eXb @h@(x@crPb r @@X6 Y@RYPb @@r YD@Tb ?t9eXb @h@(x@crC[ |B @@-Y@RYC[ @@|B YD@ C[ ?1eC[ @h@(x@cr  @@ Y@RY @@ YD@ ? e @h@(x@crYR d@{ @@p{ Y@RYYR @@d@{ YD@YR ?7eYR @h@(x@RsՒ @@DsSs0Ւ 0֒ 0Ւ @sSs0Ւ  J Ւ w$Ւ Ssh@ x@Rsiػ@@DsSsi4ji@sSsi4PiTػwi8@h@)x@Rs ڪ @@DsSs 8 @sSs 8R ڪ w @@h@)x@Rs6" " @@DsSs6" 07" 6" @sSs6" 0P6" e" w6" 8@h@)x@Rs@ IA @@ GA EP@DsSs@ pG8@ PIA w@ 8@h@)x@팙r$ x@@EhPh@Dsr$ pG8% @$xwt$ 8@h@)x@r@x,r@$.rP@Dsr pG8 hW4N wܷ 8@h@)x@rT @@Dsr` 4` ` @sr` 4PX 2 w\ 8@h@)x@rЛ &Y@@DsrЛ 0ћ Л @srЛ 0PЛ 0&YwЛ 8@h@)x@rЛ &Y@@DsrЛ 0ћ Л @srЛ 0PЛ 0&YwЛ 8@h@)x@r0z H"@@Dsr@z 0@{ @z @sr@z 0P4z .H"w8z 8@h@)x@r: x @@Dsr: 0: : @sr: 0P: \x w: 8@h@)x@r` L @@Dsrp 0p p @srp 0Pd (_L wh 8@h@)x@r` L @@Dsrp 0p p @srp 0Pd (_L wh 8@h@)x@r e. . @@Dsr e. , f. e. @sr e. , Pe. b. we. 8@h@)x@r@TA@@Dsr@0@@@sr@0P@LcTAw@8@h@)x@rhw @@ܝEP"@DsrpwpG8pxL wpw8@h@)x@r`s(@@Dsrps0ptps@srps0Pds(whs8@h@)x@r`s(@@Dsrps0ptps@srps0Pds(whs8@h@)x@r@# lA$ @@DsrP# 0P# P# @srP# 0PD# HVlA$ wH# 8@h@)x@rp@@Dsrp,pp@srp, PpMwp8@h@)x@pdv V@@Dsppv4pvpv@sppv4PhvL Vwlv8:-1992.m~OZV32h@ x@rF duG @@8 $RF $@duG D$F #,F rh@k_x@rȀ  @@` (RȀ (@ D(̀ 'XЀ rh@5 x@r(0H ,H @@H 0R(0H 0@,H D0,0H /f00H rh@c x@rX t @@hr 0RX 0@t D0\ /` 23h@z x@re f @@Pf 2Re 2@f D2e 1P|e 26h@( x@rL @@h4RL 4@D4L 3,9L rh@9) x@rin& @@9o0Rin0@& D0in/L4inrh@5 x@rxK L @@HL 0RxK 0@L D0|K /؉K rh@x@rg ߒ@@@a 0Rg 0@ߒD0g /`g rh@(x@r V @@ɢ 2R 2@V D2 1\- rh@H 5x@rPPS4S@@S4RPPS4@4SD4TPS3`XPS@h@(x@r(x |@@8R(x 8@|D8,x 7DD0x @h@(x@r,b9Ȭ @@ 8R,b98@Ȭ D80b97,4b9@h@(x@rXu@@躬8RXu8@D8\u7&`u@h@(x@r= d]> @@= :R= :@d]> D:= 9D^= @h@(x@cr^ $ @@۷ Y@RY^ @@$ YD@^ ?He^ @h@(x@cr0 j1 @@1 Y@RY0 @@j1 YD@0 ?@Pe0 @h@(x@cr$k \% @@ Y@RY$k @@\% YD@(k ?dXe,k @h@(x@cr& D @@ Y@RY& @@D YD@& ?@ae& @h@(x@crC[ |B @@-Y@RYC[ @@|B YD@ C[ ?1eC[ @h@(x@cr  @@ Y@RY @@ YD@ ? e @h@(x@cr Tp @@h Y@RY @@Tp YD@ ?e @h@(x@crШ0 T1 @@@1 Y@RYШ0 @@T1 YD@Ԩ0 ?`oeب0 @h@(x@RsՒ @@DsSs0Ւ 0֒ 0Ւ @sSs0Ւ  J Ւ w$Ւ Ssh@ x@Rsiػ@@DsSsi4ji@sSsi4PiTػwi8@h@)x@Rs6" " @@DsSs6" 07" 6" @sSs6" 0P6" e" w6" 8@h@)x@Rs6" " @@DsSs6" 07" 6" @sSs6" 0P6" e" w6" 8@h@)x@Rs@ IA @@ GA EP@DsSs@ pG8@ PIA w@ 8@h@)x@RsRoo@@oEP @DsSsRopG8Sol owRo8@h@)x@r  w @@q EP@Dsr  pG8  Jw w  8@h@)x@r D@@Dsr 4  @sr 4P HDw 8@h@)x@r D@@Dsr 4  @sr 4P HDw 8@h@)x@r(P @@ EP@Dsr0PpG80Qt= w0P8@h@)x@rc %@@EP@Dsrc pG8c .%wc 8@h@)x@rX2E  @@8IE EP@Dsr`2E pG8`3E B w`2E 8@h@)x@rܷ 4N @@Dsrܷ 0ݷ ܷ @srܷ 0Pܷ p>4N wܷ 8@h@)x@r 3l TƗ @@Dsr 3l , 4l 3l @sr 3l , P3l h;TƗ w3l 8@h@)x@r | @@Dsr0 00 0 @sr0 0P$ 8| w( 8@h@)x@rT @@Dsr` 4` ` @sr` 4PX 2 w\ 8@h@)x@r0z H"@@Dsr@z 0@{ @z @sr@z 0P4z .H"w8z 8@h@)x@r: x @@Dsr: 0: : @sr: 0P: \x w: 8@h@)x@r  @@Dsr 4  @sr 4P  w 8@h@)x@r` L @@Dsrp 0p p @srp 0Pd (_L wh 8@h@)x@r e. . @@Dsr e. , f. e. @sr e. , Pe. b. we. 8@h@)x@rHk|@@EP"@DsrPkpG8Plc|wPk8@h@)x@r@TA@@Dsr@0@@@sr@0P@LcTAw@8@h@)x@r@TA@@Dsr@0@@@sr@0P@LcTAw@8@h@)x@r/DQ@@Dsr/40/@sr/4P//DQw/8@h@)x@r`s(@@Dsrps0ptps@srps0Pds(whs8@h@)x@r@# lA$ @@DsrP# 0P# P# @srP# 0PD# HVlA$ wH# 8@h@)x@r @@Dsr0000@sr00P$(Mw(8@h@)x@pdv V@@Dsppv4pvpv@sppv4PhvL Vwlv8@h@)x@pdv V@@Dsppv4pvpv@sppv4PhvL Vwlv824h@&} x@r 80 @@/ "R "@80 D" !E rh@?rx@r J @@J &R &@J D& %p rh@Ox@r}# D!$ @@ $ (R}# (@D!$ D(}# '(B}# rh@< x@rx| @@00Rx0@| D0|/rh@P x@rlO tqo @@po 0RlO 0@tqo D0pO /4tO rh@(9 x@r7 8 @@m8 0R7 0@8 D07 /k7 23h@z x@re f @@Pf 2Re 2@f D2e 1P|e 25h@{rx@r$ DГ @@Xã 4R$ 4@DГ D4$ 3$ 27h@Rx@r오 0 @@, 4R오 4@0 D4 3` rh@5 x@rxK L @@HL 0RxK 0@L D0|K /؉K rh@Do x@r d @@| 0R0@ d D0/%rh@H 5x@rPPS4S@@S4RPPS4@4SD4TPS3`XPSrh@x@r<,<@@|<4R<,4@<D4@,3T0D,@h@(x@rXu@@躬8RXu8@D8\u7&`u@h@(x@rh  @@l8Rh 8@ D8l 7p @h@(x@r= d]> @@= :R= :@d]> D:= 9D^= @h@(x@r(@@8<R(<@D<,; l0@h@(x@cr0 j1 @@1 Y@RY0 @@j1 YD@0 ?@Pe0 @h@(x@cr@b do @@pNo Y@RY@b @@do YD@Db ? KeHb @h@(x@cr$k \% @@ Y@RY$k @@\% YD@(k ?dXe,k @h@(x@cr& D @@ Y@RY& @@D YD@& ?@ae& @h@(x@crȳ 7 @@ȴ Y@RYȳ @@7 YD@̳ ?Xeг @h@(x@cr  @@ Y@RY @@ YD@ ? e @h@(x@crYR d@{ @@p{ Y@RYYR @@d@{ YD@YR ?7eYR @h@(x@cr Tp @@h Y@RY @@Tp YD@ ?e @h@(x@crШ0 T1 @@@1 Y@RYШ0 @@T1 YD@Ԩ0 ?`oeب0 Ssh@ x@Rsiػ@@DsSsi4ji@sSsi4PiTػwi8@h@)x@Rs@ IA @@ GA EP@DsSs@ pG8@ PIA w@ 8@h@)x@RsRoo@@oEP @DsSsRopG8Sol owRo8@h@)x@Rs`b ؞@@DsSspb 0pb pb @sSspb 0Pdb \9؞whb 8@h@)x@RsqT@@DsSsr,sr@sSsr, PqTTwq8@h@)x@r  w @@q EP@Dsr  pG8  Jw w  8@h@)x@r(P @@ EP@Dsr0PpG80Qt= w0P8@h@)x@rc %@@EP@Dsrc pG8c .%wc 8@h@)x@rlk|@@Dsrk,lk@srk, PpkPT|wtk8@h@)x@rX2E  @@8IE EP@Dsr`2E pG8`3E B w`2E 8@h@)x@rܷ 4N @@Dsrܷ 0ݷ ܷ @srܷ 0Pܷ p>4N wܷ 8@h@)x@r 3l TƗ @@Dsr 3l , 4l 3l @sr 3l , P3l h;TƗ w3l 8@h@)x@r | @@Dsr0 00 0 @sr0 0P$ 8| w( 8@h@)x@rt& @@Dsr& 4' & @sr& 4Px& 7w|& 8@h@)x@rЛ &Y@@DsrЛ 0ћ Л @srЛ 0PЛ 0&YwЛ 8@h@)x@r0z H"@@Dsr@z 0@{ @z @sr@z 0P4z .H"w8z 8@h@)x@r: x @@Dsr: 0: : @sr: 0P: \x w: 8@h@)x@r  @@Dsr 4  @sr 4P  w 8@h@)x@r e. . @@Dsr e. , f. e. @sr e. , Pe. b. we. 8@h@)x@rHk|@@EP"@DsrPkpG8Plc|wPk8@h@)x@r@TA@@Dsr@0@@@sr@0P@LcTAw@8@h@)x@rXty@@DsrY4ZY@srY4PXMtywX8@h@)x@r@# lA$ @@DsrP# 0P# P# @srP# 0PD# HVlA$ wH# 8@h@)x@r @@Dsr0000@sr00P$(Mw(8@h@)x@r @@Dsr0000@sr00P$(Mw(8@h@)x@rh<\@@=\EP"@Dsrp<\pG8p=\6wp<\8@h@)x@rl j @@Dsr , @sr , Pp P`j wt 8:-1997.mlj(OZV32h@ x@rF duG @@8 $RF $@duG D$F #,F rh@k_x@rȀ  @@` (RȀ (@ D(̀ 'XЀ rh@+ x@r> |T? @@0T? (R> (@|T? D(> 'K> rh@P x@rlO tqo @@po 0RlO 0@tqo D0pO /4tO rh@ x@rX LI @@y 0RX 0@LI D0\ /$?` 25h@{rx@r$ DГ @@Xã 4R$ 4@DГ D4$ 3$ 26h@( x@rL @@h4RL 4@D4L 3,9L 28h@# x@rdP @Q @@=Q 4RdP 4@@Q D4hP 3,lP rh@] x@r đ@@ 4R 4@đD4 3 I rh@Do x@r d @@| 0R0@ d D0/%rh@x@rg ߒ@@@a 0Rg 0@ߒD0g /`g rh@(x@r V @@ɢ 2R 2@V D2 1\- rh@x@r<,<@@|<4R<,4@<D4@,3T0D,rh@!x@r::@@B:4R:4@:D4:3I:@h@(x@rh  @@l8Rh 8@ D8l 7p @h@(x@r= d]> @@= :R= :@d]> D:= 9D^= @h@(x@r` J@@J<R` <@JD<d ;*h @h@(x@rN}@x,r@$.r<R' <@4 D<' ;2' @h@(x@cr$k \% @@ Y@RY$k @@\% YD@(k ?dXe,k @h@(x@crȳ 7 @@ȴ Y@RYȳ @@7 YD@̳ ?Xeг @h@(x@cri ak @@($k Y@RYi @@ak YD@i ?jei @h@(x@crf2 d @@ Y@RYf2 @@d YD@ f2 ?Aef2 @h@(x@crYR d@{ @@p{ Y@RYYR @@d@{ YD@YR ?7eYR @h@(x@cr Tp @@h Y@RY @@Tp YD@ ?e @h@(x@cr@ * @@H\* Y@RY@ @@* YD@D ?EeH @h@(x@crШ0 T1 @@@1 Y@RYШ0 @@T1 YD@Ԩ0 ?`oeب0 @h@(x@Rs+ l @@DsSs+ + @sSs+ D+ $l w+ @h@)x@RsRoo@@oEP @DsSsRopG8Sol owRo8@h@)x@RsRoo@@oEP @DsSsRopG8Sol owRo8@h@)x@Rs`b ؞@@DsSspb 0pb pb @sSspb 0Pdb \9؞whb 8@h@)x@RsqT@@DsSsr,sr@sSsr, PqTTwq8@h@)x@팙r` p @@Dsrp 0p p @srp 0Pd `Wp wth 8@h@)x@r D@@Dsr 4  @sr 4P HDw 8@h@)x@rc %@@EP@Dsrc pG8c .%wc 8@h@)x@rc %@@EP@Dsrc pG8c .%wc 8@h@)x@rlk|@@Dsrk,lk@srk, PpkPT|wtk8@h@)x@rܷ 4N @@Dsrܷ 0ݷ ܷ @srܷ 0Pܷ p>4N wܷ 8@h@)x@r 3l TƗ @@Dsr 3l , 4l 3l @sr 3l , P3l h;TƗ w3l 8@h@)x@r | @@Dsr0 00 0 @sr0 0P$ 8| w( 8@h@)x@rt& @@Dsr& 4' & @sr& 4Px& 7w|& 8@h@)x@r: x @@Dsr: 0: : @sr: 0P: \x w: 8@h@)x@r  @@Dsr 4  @sr 4P  w 8@h@)x@rI \ @@ EP@DsrI pG8J Dl\ wI 8@h@)x@r4 | @@Dsr@ 4@ @ @sr@ 4P8 j| w< 8@h@)x@r4 | @@Dsr@ 4@ @ @sr@ 4P8 j| w< 8@h@)x@rHk|@@EP"@DsrPkpG8Plc|wPk8@h@)x@r@TA@@Dsr@0@@@sr@0P@LcTAw@8@h@)x@rXty@@DsrY4ZY@srY4PXMtywX8@h@)x@r; @@ EP"@Dsr; pG8< c w; 8@h@)x@r8 T @@ EP"@Dsr@ pG8@ CT w@ 8@h@)x@r @@Dsr0000@sr00P$(Mw(8@h@)x@rh<\@@=\EP"@Dsrp<\pG8p=\6wp<\8@h@)x@r@i4@@DsrPi0PiPi@srPi0PDi |T? @@0T? (R> (@|T? D(> 'K> rh@%a x@rk $k @@ػk (Rk (@$k D(k 'p8k rh@L x@r~%@x,r@$.r,RXX ,@ D, +x rh@< x@rx| @@00Rx0@| D0|/rh@ x@rX LI @@y 0RX 0@LI D0\ /$?` rh@ x@rn Jo @@pHo 0Rn 0@Jo D0n /Hn 26h@( x@rL @@h4RL 4@D4L 3,9L 27h@Rx@r오 0 @@, 4R오 4@0 D4 3` 29h@I x@rDy @@x 4RDy 4@ D4Hy 3<Ly rh@Լ x@rY8 D8 @@`8 4RY8 4@D8 D4Y8 3|R Y8 rh@H 5x@rPPS4S@@S4RPPS4@4SD4TPS3`XPSrh@!x@r::@@B:4R:4@:D4:3I:rh@W x@rݟ ͠@@̠4Rݟ4@ ͠D4ݟ34pݟ@h@(x@rXw @@h} 8RXw 8@D8\w 7 `w @h@(x@r` J@@J<R` <@JD<d ;*h @h@(x@r(@@8<R(<@D<,; l0@h@(x@rN}@x,r@$.r<R' <@4 D<' ;2' drh@ x@cr t|C @@{C Y>RY >@t|C YD> =@e @h@(x@cr ` s @@q Y@RY ` @@s YD@$` ?e(` @h@(x@crȳ 7 @@ȴ Y@RYȳ @@7 YD@̳ ?Xeг @h@(x@cri ak @@($k Y@RYi @@ak YD@i ?jei @h@(x@cr \̍ @@ԕ Y@RY @@\̍ YD@ ?le$ @h@(x@cr@ * @@H\* Y@RY@ @@* YD@D ?EeH @h@(x@Rs+ l @@DsSs+ + @sSs+ D+ $l w+ @h@(x@Rs07 @@DsSs@7 @7 @7 @sSs@7 H47 @7 w87 @h@(x@RsH3lD @@` EH@DsSsP3lpGP4lx3D wP3l@h@)x@RsRoo@@oEP @DsSsRopG8Sol owRo8@h@)x@Rs`b ؞@@DsSspb 0pb pb @sSspb 0Pdb \9؞whb 8@h@)x@팙r` p @@Dsrp 0p p @srp 0Pd `Wp wth 8@h@)x@팙r` p @@Dsrp 0p p @srp 0Pd `Wp wth 8@h@)x@rc %@@EP@Dsrc pG8c .%wc 8@h@)x@rlk|@@Dsrk,lk@srk, PpkPT|wtk8@h@)x@r @@> 8Rb= 8@#> D8b= 7\` b= @h@(x@r(@@8<R(<@D<,; l0drh@ x@cr t|C @@{C Y>RY >@t|C YD> =@e @h@(x@cr ` s @@q Y@RY ` @@s YD@$` ?e(` @h@(x@cr \q @@tY@RY \@@q YD@\?Be\@h@(x@cri ak @@($k Y@RYi @@ak YD@i ?jei @h@(x@crf2 d @@ Y@RYf2 @@d YD@ f2 ?Aef2 @h@(x@cr \̍ @@ԕ Y@RY @@\̍ YD@ ?le$ @h@(x@crPb r @@X6 Y@RYPb @@r YD@Tb ?t9eXb @h@(x@cr @@ Y@RY @@YD@ ?e @h@(x@cr@ * @@H\* Y@RY@ @@* YD@D ?EeH @h@(x@Rs+ l @@DsSs+ + @sSs+ D+ $l w+ @h@(x@Rs07 @@DsSs@7 @7 @7 @sSs@7 H47 @7 w87 @h@(x@RsH3lD @@` EH@DsSsP3lpGP4lx3D wP3l@h@)x@Rs ڪ @@DsSs 8 @sSs 8R ڪ w @@h@)x@RsqT@@DsSsr,sr@sSsr, PqTTwq8@h@)x@RsqT@@DsSsr,sr@sSsr, PqTTwq8@h@)x@팙r` p @@Dsrp 0p p @srp 0Pd `Wp wth 8@h@)x@팙r$ x@@EhPh@Dsr$ pG8% @$xwt$ 8@h@)x@r@x,r@$.rP@Dsr pG8 hW @@> 8Rb= 8@#> D8b= 7\` b= @h@(x@r(@@8<R(<@D<,; l0drh@ x@cr t|C @@{C Y>RY >@t|C YD> =@e @h@(x@cr \q @@tY@RY \@@q YD@\?Be\@h@(x@cr^ $ @@۷ Y@RY^ @@$ YD@^ ?He^ @h@(x@crf2 d @@ Y@RYf2 @@d YD@ f2 ?Aef2 @h@(x@cr \̍ @@ԕ Y@RY @@\̍ YD@ ?le$ @h@(x@cr @@ Y@RY @@YD@ ?e @h@(x@crC[ |B @@-Y@RYC[ @@|B YD@ C[ ?1eC[ @h@(x@Rs07 @@DsSs@7 @7 @7 @sSs@7 H47 @7 w87 @h@(x@RsH3lD @@` EH@DsSsP3lpGP4lx3D wP3l@h@(x@RsՒ @@DsSs0Ւ 0֒ 0Ւ @sSs0Ւ  J Ւ w$Ւ @h@)x@Rs ڪ @@DsSs 8 @sSs 8R ڪ w @@h@)x@Rs6" " @@DsSs6" 07" 6" @sSs6" 0P6" e" w6" 8@h@)x@팙r$ x@@EhPh@Dsr$ pG8% @$xwt$ 8@h@)x@r@x,r@$.rP@Dsr pG8 hW @@> 8Rb= 8@#> D8b= 7\` b= @h@(x@r,b9Ȭ @@ 8R,b98@Ȭ D80b97,4b9@h@(x@cr ` s @@q Y@RY ` @@s YD@$` ?e(` @h@(x@cr \q @@tY@RY \@@q YD@\?Be\@h@(x@cr^ $ @@۷ Y@RY^ @@$ YD@^ ?He^ @h@(x@cr@b do @@pNo Y@RY@b @@do YD@Db ? KeHb @h@(x@cr@b do @@pNo Y@RY@b @@do YD@Db ? KeHb @h@(x@crPb r @@X6 Y@RYPb @@r YD@Tb ?t9eXb @h@(x@crPb r @@X6 Y@RYPb @@r YD@Tb ?t9eXb @h@(x@crC[ |B @@-Y@RYC[ @@|B YD@ C[ ?1eC[ @h@(x@cr  @@ Y@RY @@ YD@ ? e @h@(x@RsH3lD @@` EH@DsSsP3lpGP4lx3D wP3l@h@(x@RsՒ @@DsSs0Ւ 0֒ 0Ւ @sSs0Ւ  J Ւ w$Ւ Ssh@ x@Rsiػ@@DsSsi4ji@sSsi4PiTػwi8@h@)x@Rs ڪ @@DsSs 8 @sSs 8R ڪ w @@h@)x@Rs6" " @@DsSs6" 07" 6" @sSs6" 0P6" e" w6" 8@h@)x@Rs@ IA @@ GA EP@DsSs@ pG8@ PIA w@ 8@h@)x@팙r$ x@@EhPh@Dsr$ pG8% @$xwt$ 8@h@)x@r@x,r@$.rP@Dsr pG8 hW @@> 8Rb= 8@#> D8b= 7\` b= @h@(x@r,b9Ȭ @@ 8R,b98@Ȭ D80b97,4b9@h@(x@rXu@@躬8RXu8@D8\u7&`u@h@(x@rh  @@l8Rh 8@ D8l 7p @h@(x@cr^ $ @@۷ Y@RY^ @@$ YD@^ ?He^ @h@(x@cr0 j1 @@1 Y@RY0 @@j1 YD@0 ?@Pe0 @h@(x@cr$k \% @@ Y@RY$k @@\% YD@(k ?dXe,k @h@(x@cr& D @@ Y@RY& @@D YD@& ?@ae& @h@(x@cr @@ Y@RY @@YD@ ?e @h@(x@crC[ |B @@-Y@RYC[ @@|B YD@ C[ ?1eC[ @h@(x@cr  @@ Y@RY @@ YD@ ? e @h@(x@cr Tp @@h Y@RY @@Tp YD@ ?e @h@(x@RsՒ @@DsSs0Ւ 0֒ 0Ւ @sSs0Ւ  J Ւ w$Ւ Ssh@ x@Rsiػ@@DsSsi4ji@sSsi4PiTػwi8@h@)x@Rs ڪ @@DsSs 8 @sSs 8R ڪ w @@h@)x@Rs6" " @@DsSs6" 07" 6" @sSs6" 0P6" e" w6" 8@h@)x@Rs@ IA @@ GA EP@DsSs@ pG8@ PIA w@ 8@h@)x@r@x,r@$.rP@Dsr pG8 hW4N wܷ 8@h@)x@r 3l TƗ @@Dsr 3l , 4l 3l @sr 3l , P3l h;TƗ w3l 8@h@)x@rT @@Dsr` 4` ` @sr` 4PX 2 w\ 8@h@)x@r0z H"@@Dsr@z 0@{ @z @sr@z 0P4z .H"w8z 8@h@)x@r: x @@Dsr: 0: : @sr: 0P: \x w: 8@h@)x@r: x @@Dsr: 0: : @sr: 0P: \x w: 8@h@)x@r` L @@Dsrp 0p p @srp 0Pd (_L wh 8@h@)x@r e. . @@Dsr e. , f. e. @sr e. , Pe. b. we. 8@h@)x@rHk|@@EP"@DsrPkpG8Plc|wPk8@h@)x@r@TA@@Dsr@0@@@sr@0P@LcTAw@8@h@)x@r@TA@@Dsr@0@@@sr@0P@LcTAw@8@h@)x@r/DQ@@Dsr/40/@sr/4P//DQw/8@h@)x@r`s(@@Dsrps0ptps@srps0Pds(whs8@h@)x@r@# lA$ @@DsrP# 0P# P# @srP# 0PD# HVlA$ wH# 8@h@)x@r @@Dsr0000@sr00P$(Mw(8@h@)x@rp@@Dsrp,pp@srp, PpMwp8@h@)x@pdv V@@Dsppv4pvpv@sppv4PhvL Vwlv824h@&} x@r 80 @@/ "R "@80 D" !E rh@?rx@r J @@J &R &@J D& %p rh@Ox@r}# D!$ @@ $ (R}# (@D!$ D(}# '(B}# rh@H- x@rtk =s@@ 0Rtk 0@=sD0xk /||k rh@(9 x@r7 8 @@m8 0R7 0@8 D07 /k7 rh@ x@r! ! @@d! 0R! 0@! D0! /c! 23h@z x@re f @@Pf 2Re 2@f D2e 1P|e 25h@{rx@r$ DГ @@Xã 4R$ 4@DГ D4$ 3$ 27h@Rx@r오 0 @@, 4R오 4@0 D4 3` rh@5 x@rxK L @@HL 0RxK 0@L D0|K /؉K rh@Do x@r d @@| 0R0@ d D0/%rh@H 5x@rPPS4S@@S4RPPS4@4SD4TPS3`XPSrh@x@r<,<@@|<4R<,4@<D4@,3T0D,@h@(x@rXu@@躬8RXu8@D8\u7&`u@h@(x@rh  @@l8Rh 8@ D8l 7p @h@(x@r= d]> @@= :R= :@d]> D:= 9D^= @h@(x@r(@@8<R(<@D<,; l0@h@(x@cr0 j1 @@1 Y@RY0 @@j1 YD@0 ?@Pe0 @h@(x@cr@b do @@pNo Y@RY@b @@do YD@Db ? KeHb @h@(x@cr$k \% @@ Y@RY$k @@\% YD@(k ?dXe,k @h@(x@cr& D @@ Y@RY& @@D YD@& ?@ae& @h@(x@crȳ 7 @@ȴ Y@RYȳ @@7 YD@̳ ?Xeг @h@(x@cr  @@ Y@RY @@ YD@ ? e @h@(x@crYR d@{ @@p{ Y@RYYR @@d@{ YD@YR ?7eYR @h@(x@cr Tp @@h Y@RY @@Tp YD@ ?e @h@(x@crШ0 T1 @@@1 Y@RYШ0 @@T1 YD@Ԩ0 ?`oeب0 Ssh@ x@Rsiػ@@DsSsi4ji@sSsi4PiTػwi8@h@)x@Rs6" " @@DsSs6" 07" 6" @sSs6" 0P6" e" w6" 8@h@)x@Rs@ IA @@ GA EP@DsSs@ pG8@ PIA w@ 8@h@)x@RsRoo@@oEP @DsSsRopG8Sol owRo8@h@)x@Rs`b ؞@@DsSspb 0pb pb @sSspb 0Pdb \9؞whb 8@h@)x@r  w @@q EP@Dsr  pG8  Jw w  8@h@)x@r(P @@ EP@Dsr0PpG80Qt= w0P8@h@)x@rc %@@EP@Dsrc pG8c .%wc 8@h@)x@rlk|@@Dsrk,lk@srk, PpkPT|wtk8@h@)x@rX2E  @@8IE EP@Dsr`2E pG8`3E B w`2E 8@h@)x@rܷ 4N @@Dsrܷ 0ݷ ܷ @srܷ 0Pܷ p>4N wܷ 8@h@)x@r 3l TƗ @@Dsr 3l , 4l 3l @sr 3l , P3l h;TƗ w3l 8@h@)x@r | @@Dsr0 00 0 @sr0 0P$ 8| w( 8@h@)x@rt& @@Dsr& 4' & @sr& 4Px& 7w|& 8@h@)x@rЛ &Y@@DsrЛ 0ћ Л @srЛ 0PЛ 0&YwЛ 8@h@)x@r0z H"@@Dsr@z 0@{ @z @sr@z 0P4z .H"w8z 8@h@)x@r: x @@Dsr: 0: : @sr: 0P: \x w: 8@h@)x@r  @@Dsr 4  @sr 4P  w 8@h@)x@r e. . @@Dsr e. , f. e. @sr e. , Pe. b. we. 8@h@)x@rHk|@@EP"@DsrPkpG8Plc|wPk8@h@)x@r@TA@@Dsr@0@@@sr@0P@LcTAw@8@h@)x@rXty@@DsrY4ZY@srY4PXMtywX8@h@)x@r@# lA$ @@DsrP# 0P# P# @srP# 0PD# HVlA$ wH# 8@h@)x@r @@Dsr0000@sr00P$(Mw(8@h@)x@r @@Dsr0000@sr00P$(Mw(8@h@)x@rl j @@Dsr , @sr , Pp P`j wt 8@h@)x@pdv V@@Dsppv4pvpv@sppv4PhvL Vwlv8:-1996.m?OZV32h@ x@rF duG @@8 $RF $@duG D$F #,F rh@k_x@rȀ  @@` (RȀ (@ D(̀ 'XЀ rh@+ x@r> |T? @@0T? (R> (@|T? D(> 'K> rh@< x@rx| @@00Rx0@| D0|/rh@ x@rX LI @@y 0RX 0@LI D0\ /$?` 25h@{rx@r$ DГ @@Xã 4R$ 4@DГ D4$ 3$ 26h@( x@rL @@h4RL 4@D4L 3,9L 28h@# x@rdP @Q @@=Q 4RdP 4@@Q D4hP 3,lP rh@] x@r đ@@ 4R 4@đD4 3 I rh@Do x@r d @@| 0R0@ d D0/%rh@x@rg ߒ@@@a 0Rg 0@ߒD0g /`g rh@(x@r V @@ɢ 2R 2@V D2 1\- rh@x@r<,<@@|<4R<,4@<D4@,3T0D,rh@!x@r::@@B:4R:4@:D4:3I:@h@(x@rh  @@l8Rh 8@ D8l 7p @h@(x@r= d]> @@= :R= :@d]> D:= 9D^= @h@(x@r` J@@J<R` <@JD<d ;*h @h@(x@rN}@x,r@$.r<R' <@4 D<' ;2' @h@(x@cr0 j1 @@1 Y@RY0 @@j1 YD@0 ?@Pe0 @h@(x@cr$k \% @@ Y@RY$k @@\% YD@(k ?dXe,k @h@(x@crȳ 7 @@ȴ Y@RYȳ @@7 YD@̳ ?Xeг @h@(x@cri ak @@($k Y@RYi @@ak YD@i ?jei @h@(x@crYR d@{ @@p{ Y@RYYR @@d@{ YD@YR ?7eYR @h@(x@cr Tp @@h Y@RY @@Tp YD@ ?e @h@(x@cr@ * @@H\* Y@RY@ @@* YD@D ?EeH @h@(x@crШ0 T1 @@@1 Y@RYШ0 @@T1 YD@Ԩ0 ?`oeب0 @h@(x@Rs+ l @@DsSs+ + @sSs+ D+ $l w+ @h@)x@Rs ڪ @@DsSs 8 @sSs 8R ڪ w @@h@)x@RsRoo@@oEP @DsSsRopG8Sol owRo8@h@)x@RsRoo@@oEP @DsSsRopG8Sol owRo8@h@)x@Rs`b ؞@@DsSspb 0pb pb @sSspb 0Pdb \9؞whb 8@h@)x@RsqT@@DsSsr,sr@sSsr, PqTTwq8@h@)x@팙r` p @@Dsrp 0p p @srp 0Pd `Wp wth 8@h@)x@r D@@Dsr 4  @sr 4P HDw 8@h@)x@r(P @@ EP@Dsr0PpG80Qt= w0P8@h@)x@rc %@@EP@Dsrc pG8c .%wc 8@h@)x@rlk|@@Dsrk,lk@srk, PpkPT|wtk8@h@)x@rܷ 4N @@Dsrܷ 0ݷ ܷ @srܷ 0Pܷ p>4N wܷ 8@h@)x@r 3l TƗ @@Dsr 3l , 4l 3l @sr 3l , P3l h;TƗ w3l 8@h@)x@r | @@Dsr0 00 0 @sr0 0P$ 8| w( 8@h@)x@rt& @@Dsr& 4' & @sr& 4Px& 7w|& 8@h@)x@r: x @@Dsr: 0: : @sr: 0P: \x w: 8@h@)x@r  @@Dsr 4  @sr 4P  w 8@h@)x@rI \ @@ EP@DsrI pG8J Dl\ wI 8@h@)x@r4 | @@Dsr@ 4@ @ @sr@ 4P8 j| w< 8@h@)x@r e. . @@Dsr e. , f. e. @sr e. , Pe. b. we. 8@h@)x@rHk|@@EP"@DsrPkpG8Plc|wPk8@h@)x@r@TA@@Dsr@0@@@sr@0P@LcTAw@8@h@)x@rXty@@DsrY4ZY@srY4PXMtywX8@h@)x@r; @@ EP"@Dsr; pG8< c w; 8@h@)x@r@# lA$ @@DsrP# 0P# P# @srP# 0PD# HVlA$ wH# 8@h@)x@r @@Dsr0000@sr00P$(Mw(8@h@)x@rh<\@@=\EP"@Dsrp<\pG8p=\6wp<\8@h@)x@r@i4@@DsrPi0PiPi@srPi0PDiRY >@t|C YD> =@e @h@(x@cr& D @@ Y@RY& @@D YD@& ?@ae& @h@(x@crȳ 7 @@ȴ Y@RYȳ @@7 YD@̳ ?Xeг @h@(x@cri ak @@($k Y@RYi @@ak YD@i ?jei @h@(x@cr \̍ @@ԕ Y@RY @@\̍ YD@ ?le$ @h@(x@crYR d@{ @@p{ Y@RYYR @@d@{ YD@YR ?7eYR @h@(x@cr@ * @@H\* Y@RY@ @@* YD@D ?EeH @h@(x@Rs+ l @@DsSs+ + @sSs+ D+ $l w+ @h@(x@Rs07 @@DsSs@7 @7 @7 @sSs@7 H47 @7 w87 @h@)x@RsRoo@@oEP @DsSsRopG8Sol owRo8@h@)x@Rs`b ؞@@DsSspb 0pb pb @sSspb 0Pdb \9؞whb 8@h@)x@팙r` p @@Dsrp 0p p @srp 0Pd `Wp wth 8@h@)x@팙r` p @@Dsrp 0p p @srp 0Pd `Wp wth 8@h@)x@rc %@@EP@Dsrc pG8c .%wc 8@h@)x@rlk|@@Dsrk,lk@srk, PpkPT|wtk8@h@)x@r4N wܷ 8@h@)x@r 3l TƗ @@Dsr 3l , 4l 3l @sr 3l , P3l h;TƗ w3l 8@h@)x@r | @@Dsr0 00 0 @sr0 0P$ 8| w( 8@h@)x@rt& @@Dsr& 4' & @sr& 4Px& 7w|& 8@h@)x@rH!& @@8Q EP@DsrP!& pG8P"& 4wP!& 8@h@)x@r: x @@Dsr: 0: : @sr: 0P: \x w: 8@h@)x@r  @@Dsr 4  @sr 4P  w 8@h@)x@rI \ @@ EP@DsrI pG8J Dl\ wI 8@h@)x@r<)j k @@DsrP)j ,P*j P)j @srP)j , P@)j dk wD)j 8@h@)x@r@TA@@Dsr@0@@@sr@0P@LcTAw@8@h@)x@rXty@@DsrY4ZY@srY4PXMtywX8@h@)x@r; @@ EP"@Dsr; pG8< c w; 8@h@)x@r8 T @@ EP"@Dsr@ pG8@ CT w@ 8@h@)x@rh<\@@=\EP"@Dsrp<\pG8p=\6wp<\8@h@)x@rl j @@Dsr , @sr , Pp P`j wt 8@h@)x@rl j @@Dsr , @sr , Pp P`j wt 8@h@)x@r@i4@@DsrPi0PiPi@srPi0PDiRY >@t|C YD> =@e @h@(x@cr ` s @@q Y@RY ` @@s YD@$` ?e(` @h@(x@cr \q @@tY@RY \@@q YD@\?Be\@h@(x@cri ak @@($k Y@RYi @@ak YD@i ?jei @h@(x@crf2 d @@ Y@RYf2 @@d YD@ f2 ?Aef2 @h@(x@cr \̍ @@ԕ Y@RY @@\̍ YD@ ?le$ @h@(x@crPb r @@X6 Y@RYPb @@r YD@Tb ?t9eXb @h@(x@cr@ * @@H\* Y@RY@ @@* YD@D ?EeH @h@(x@crШ0 T1 @@@1 Y@RYШ0 @@T1 YD@Ԩ0 ?`oeب0 @h@(x@Rs+ l @@DsSs+ + @sSs+ D+ $l w+ @h@(x@Rs07 @@DsSs@7 @7 @7 @sSs@7 H47 @7 w87 @h@(x@RsH3lD @@` EH@DsSsP3lpGP4lx3D wP3l@h@)x@Rs ڪ @@DsSs 8 @sSs 8R ڪ w @@h@)x@Rs`b ؞@@DsSspb 0pb pb @sSspb 0Pdb \9؞whb 8@h@)x@RsqT@@DsSsr,sr@sSsr, PqTTwq8@h@)x@RsqT@@DsSsr,sr@sSsr, PqTTwq8@h@)x@팙r` p @@Dsrp 0p p @srp 0Pd `Wp wth 8@h@)x@팙r$ x@@EhPh@Dsr$ pG8% @$xwt$ 8@h@)x@rlk|@@Dsrk,lk@srk, PpkPT|wtk8@h@)x@r @@> 8Rb= 8@#> D8b= 7\` b= @h@(x@r(@@8<R(<@D<,; l0drh@ x@cr t|C @@{C Y>RY >@t|C YD> =@e @h@(x@cr ` s @@q Y@RY ` @@s YD@$` ?e(` @h@(x@cr^ $ @@۷ Y@RY^ @@$ YD@^ ?He^ @h@(x@crf2 d @@ Y@RYf2 @@d YD@ f2 ?Aef2 @h@(x@cr \̍ @@ԕ Y@RY @@\̍ YD@ ?le$ @h@(x@cr @@ Y@RY @@YD@ ?e @h@(x@crC[ |B @@-Y@RYC[ @@|B YD@ C[ ?1eC[ @h@(x@Rs07 @@DsSs@7 @7 @7 @sSs@7 H47 @7 w87 @h@(x@RsH3lD @@` EH@DsSsP3lpGP4lx3D wP3l@h@(x@RsՒ @@DsSs0Ւ 0֒ 0Ւ @sSs0Ւ  J Ւ w$Ւ @h@)x@Rs ڪ @@DsSs 8 @sSs 8R ڪ w @@h@)x@팙r` p @@Dsrp 0p p @srp 0Pd `Wp wth 8@h@)x@팙r$ x@@EhPh@Dsr$ pG8% @$xwt$ 8@h@)x@r@x,r@$.rP@Dsr pG8 hWG6$,$& F06#F1!""&F06#"""-%'lprintG6#QTAdvarsel!~Kun~beregnet~til~2~dimensionelle~vekto rerF&6#Q[oBeregner~tv|ayr-/hat-vektoren~af~en~vektor~x~(2d).~Fx~Hat(~[2,3]~)F&F &6$%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG %'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$ HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG %&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&6#F<6$%*protectedG/%+modulenameG%*G ymVektorG M7R0 I':-1876t+6#%"xG6"F&F&O-T%6#9$F&F&6&%6_thismoduledefinitionGb6#%+thismoduleG6#% $visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+Projekti onG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+T v|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&F7 c'L|ayngde':-18756#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1887t+6#%"xG6"F&F&O-T%6#9$6#QQBeregner~tv|ayr-/hat-vektoren~af~en~vektor~a~ (2d).F&F&6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,Dete rminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3Parallelogram ArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,Tvaervektor G%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&F@c$Hat':-18826#"""6$%*prot ectedG/%+modulenameG%*GymVektorG M7R0 I*GymVektor`64c,Determinant':-1893c'L|ayngde':-1894c(Laengde':-1895c$L|ayn':-18 96c%Laen':-1897c+Projektion':-1898c%Proj':-1899c3ParallelogramAreal':-1900c$Hat ':-1901c'Vinkel':-1902c*VisVektor':-1903c0VisVektorMellem':-1904c+Tv|ayrvektor' :-1905c,Tvaervektor':-1906c%Prik':-1907c&Kryds':-1908c.VektorVersion':-1909c(Fo rklar':-1910b6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(La engdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%* VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.Vekto rVersionG%(ForklarG6"FQFQFQ%,_m254538444G6#c$vis':-1911FQ M7R0 I':-1881t+6$%"aG%"bG6"F'F'C$@$3/-&%.LinearAlgebraG6#%*DimensionG6#9$-F-6#9%2""# F,O-T%6#-_F.%-CrossProductG6$F2F5@$3F+/F,F7O-%$absG6#-T'F?6#Q]oBeregner~arealet ~af~parallelogrammet~udsp|ayndt~af~vektorerne~a~og~bF'F'6(%6_thismoduledefiniti onGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L |aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektor G%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG %(ForklarGF'F'F'F'F'FVc'L|ayngde':-1875FUc,Determinant':-18746#F76$%*protectedG /%+modulenameG%*GymVektorG M7R0 I':-1892t+6#>%"aG%%NULLG6'%"nG%#p1G%#p2G%#p3G%&koordG6"F.C)@$/9$F'OF'>8$-&%.Lin earAlgebraG6#%*DimensionG6#F2>8(-%$seqG6$,$&F26#%"iG#"""""#/FD;FFF5>8%-_%&plots G%&arrowG6&F2/%(scalingG%,constrainedG/%&shapeGFO/%&colorG7$%$redG%%blueG@$/F5" "$C$>8'-&FN6#%+textplot3dG6#7&F=-%(typesetGF;/%%fontG7%%&TIMESG%%BOLDG""*/%%axe sG%'normalG>8&-_FN%,pointplot3dG6(F2/Fjo%&boxedG/FW%&blackG/%+symbolsizeG"#5/%' symbolG%,solidcircleG/%'labelsG7%%"xG%"yG%"zG@$/F5FGC$>Fjn-&FN6#%)textplotGF_o> F]p-_FN%*pointplotG6'F2FioFdp/Fgp""&FipO-_FN%(displayG6%FKF]pFjnF.F.6$%6_thismo duledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG% (LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'Vinkel G%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.Ve ktorVersionG%(ForklarGF.F.F.F.F.6#FF/%+modulenameG%*GymVektorG M7R0 I':-1875t+6#'%"xG%'VectorG6"F(F(O-%%normG6$9$""#6#Q[oBeregner~den~eksakte~l|ayn gde~af~en~vektor~x.~Fx~L|ayngde(~[3,~-4]~)F(F(6$%6_thismoduledefinitionGb6#%+th ismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%Lae nG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVekt orMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarG F(F(F(F(F(6#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1886t+6#%"xG6"F&F&O-T%6#9$6#QPBeregner~tv|ayr-/hat-vektoren~af~en~vektor~a~ (2d)F&F&6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,Deter minantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramA realG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG %%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&F@c$Hat':-18826#"""6$%*prote ctedG/%+modulenameG%*GymVektorG M7R0 I':-1880t+6$%"aG%"bG6"F'F'O-%&evalfG6#-T%6$9$9%6#Q`qBeregner~den~approksimerede /afrundede~projektion~af~vektor~a~p|`y~vektor~b.~Fx.~Proj(~[20,4]~,~[2,-3]~)F'F '6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG %'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$ HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG %&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'FBc+Projektion':-18796#""#6$%*prote ctedG/%+modulenameG%*GymVektorG M7R0 I':-1874t+6$%"xG%"yG6"F'F'C$@$3/-&%.LinearAlgebraG6#%*DimensionG6#9$""#/-F-6#9% F3O,&*&&F26#"""F=&F76#F3F=F=*&&F2F?F=&F7F8)-&%.LinearAlg ebraG6#%*DimensionG6#%"aG>8',&9%"""9$!"">8(,&F?#F>""#F=FD>8*-%$seqG6$&FB6#%"iG/ FM;F>F2>8$-_%&plotsG%&arrowG6(F?F=/%+differenceG%%trueG/%(scalingG%,constrained G/%&shapeGFU/%&colorG7$Q+DarkOrchidF/%&blackG@$/F2FEC$-&FT6#%)textplotG6#7&FG-% (typesetG6#F;/%%fontG7%%&TIMESG%%BOLDG""*/%%axesG%'normalG>8%-_FT%*pointplotG6' ,&F?F>F;F>F`p/FjnF]o/%+symbolsizeG""&/%'symbolG%,solidcircleG@$/F2""$C$>8&-&FT6 #%+textplot3dGFeo>Fdp-_FT%,pointplot3dG6(Fip/Fap%&boxedGFjpF[qF^q/%'labelsG7%%" xG%"yG%"zGO-_FT%(displayG6$FQFdp6#QbpViser~vektoren~mellem~punkterne/vektorerne ~A~og~B.~Fx~VisVektorMellem(<1,2,3>,<-1,4,0>)F/F/6$%6_thismoduledefinitionGb6#% +thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%% LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisV ektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(Forkl arGF/F/F/F/F/6#FE6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1879t+6$%"aG%"bG6"F'F'O*(-_%,TypesettingG%0delayDotProductG6$9$9%"""F0F1-T% 6#F0!"#6#QapBeregner~den~eksakte~projektion~af~vektor~a~p|`y~vektor~b.~Fx~Proje ktion([20,4]~,[2,-3])F'F'6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%( packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%Proj G%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvekt orG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'FCc'L|ayngd e':-18756#""#6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1890t+6"F$F$F$O-%'lprintG6#Q[rGymVektor.mla~version~2012.03.04~E~af~Loo~Fan g~Yenn.~Distribueres~under~GNU-licens.~Tak~til~Steen~Toft~J|czrgensenF$6#Q_pFor t|ayller~hvilken~version~af~GymVektor-pakke~du~har~installeret.~Fx~VektorVersio n()~F$F$6$%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,Deter minantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramA realG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG %%PrikG%&KrydsG%.VektorVersionG%(ForklarGF$F$F$F$F$6#""!6$%*protectedG/%+module nameG%*GymVektorG M7R0 I':-1884t+6*%"aG>%"bG%%NULLG>%"cGF(>%"dGF(>%"eGF(>%"fGF(>%"gGF(>%"hGF(6$%"PG%"i G6"F8C+@&-%%typeG6$9$%'VectorG>&8$6#"""-T%6#F>-F<6$F>%%listG>FA-T'6$&F>FC&F>6#" "#@'-F<6$9%F?>&FBFQ-FF6#FV-F<6$FVFJ>FX-FM6$&FVFC&FVFQ>FXF(@'-F<6$9&F?>&FB6#""$- FF6#F`o-F<6$F`oFJ>Fbo-FM6$&F`oFC&F`oFQ>FboF(@'-F<6$9'F?>&FB6#""%-FF6#Fbp-F<6$Fb pFJ>Fdp-FM6$&FbpFC&FbpFQ>FdpF(@'-F<6$9(F?>&FB6#""&-FF6#Fdq-F<6$FdqFJ>Ffq-FM6$&F dqFCF_q>FfqF(@'-F<6$9)F?>&FB6#""'-FF6#Fer-F<6$FerFJ>Fgr-FM6$&FerFCF_q>FgrF(@'-F <6$9*F?>&FB6#""(-FF6#Ffs-F<6$FfsFJ>Fhs-FM6$&FfsFCF_q>FhsF(@'-F<6$9+F?>&FB6#"")- FF6#Fgt-F<6$FgtFJ>Fit-FM6$&FgtFCF_q>FitF(O-_%&plotsG%(displayG6#-%$seqG6$&FB6#8 %/F`v;FDF[u6#QhvViser~op~til~otte~vektorer~i~samme~koordinatsystem.~~Fx:~~VisVe ktor(<1,2,3>,~viser~stedvektoren~og~VisVektor(a,b,c,[a,b],~[a,c]),~viser~vektor ene~a,b,c~og~vektorene~mellem~a~og~b~og~a~og~c~F8F86(%6_thismoduledefinitionGb6 #%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG %%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0Vi sVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(For klarGF8F8F8F8F8F[wc$vis':-1892Fjwc0VisVektorMellem':-18856#F[u6$%*protectedG/%+ modulenameG%*GymVektorG M7R0 I':-1878t+6#%"xG6"F&F&O-&%&evalfG6#"#56#-T%6#9$6#Q`oBeregner~den~approksimerede ~(afrundede)~l|ayngde~af~~en~vektor~x.~(mac)F&F&6&%6_thismoduledefinitionGb6#%+ thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%L aenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVe ktorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(Forkla rGF&F&F&F&F&F?c'L|ayngde':-18756#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1889t+6$%"aG%"bG6"F'F'C$@$3/-&%.LinearAlgebraG6#%*DimensionG6#9$-F-6#9%2""# F,O-_F.%-CrossProductG6$F2F5O-%'lprintG6#Q'Fejl..F'6#QaqBeregner~kryds-/vektor- produktet~mellem~vektorerne~a~og~b~(Man~kan~ogs|`y~bruge~notationen~:~a×b )~F'F'6$%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,Determi nantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramAre alG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%% PrikG%&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'6#F76$%*protectedG/%+modulenam eG%*GymVektorG M7R0 I':-1883t+6$%"aG%"bG6"F'F'O,$*&-%'arccosG6#*(-T%6$9$9%"""-T'6#F2!""-F66#F3F8F4% #PiGF8"$!=6#Q^pBeregner~den~vinklen~mellem~vektorerne~a~og~b~i~grader.~Fx~Vinke l(~[-1,2]~,~[2,1]~)F'F'6(%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(pa ckageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG% 3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektor G%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'FWc%Prik':-18 88FJc'L|ayngde':-18756#""#6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1877t+6#%"xG6"F&F&O-&%&evalfG6#"#56#-T%6#9$6#Q[pBeregner~den~approksimerede ~(afrundede)~l|ayngde~af~~en~vektor~x.~Fx~L|ayn(~[3,-4])~F&F&6&%6_thismoduledef initionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(Laengd eG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisV ektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVer sionG%(ForklarGF&F&F&F&F&F?c'L|ayngde':-18756#"""6$%*protectedG/%+modulenameG%* GymVektorG M7R0 I':-1888t+6$%"aG%"bG6"F'F'O-%$addG6$*&&9$6#%"iG"""&9%F/F1/F0;F1-&%.LinearAlgebr aG6#%*DimensionG6#F.6#Q`qBeregner~prikproduktet~mellem~vektorerne~a~og~b~(man~k an~ogs|`y~bruge~notationen:~a.b~eller~a·b)F'F'6$%6_thismoduledefinitionG b6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|ay nG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0 VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(F orklarGF'F'F'F'F'6#""#6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1909t+6"F$F$F$O-%'lprintG6#QatGymVektor.mla~version~2012.03.04~E~af~Loo~Fan g~Yenn.~Distribueres~under~GNU-licens.~Tak~til~Steen~Toft~J|czrgensen~for~test~ og~forslag~til~forbedringer.F$6#Q_pFort|ayller~hvilken~version~af~GymVektor-pak ke~du~har~installeret.~Fx~VektorVersion()~F$F$6$%6_thismoduledefinitionGb6#%+th ismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%Lae nG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVekt orMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarG F$F$F$F$F$6#""!6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1902t+6$%"aG%"bG6"F'F'O,$*&-%'arccosG6#*(-T%6$9$9%"""-T'6#F2!""-F66#F3F8F4% #PiGF8"$!=6#Q^pBeregner~den~vinklen~mellem~vektorerne~a~og~b~i~grader.~Fx~Vinke l(~[-1,2]~,~[2,1]~)F'F'6(%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(pa ckageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG% 3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektor G%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'FWc%Prik':-19 07FJc'L|ayngde':-18946#""#6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1901t+6#%"xG6"F&F&C$@$/-&%.LinearAlgebraG6#%*DimensionG6#9$""#O-%$<,>G6$,$& F06#F1!""&F06#"""-%'lprintG6#QTAdvarsel!~Kun~beregnet~til~2~dimensionelle~vekto rerF&6#Q[oBeregner~tv|ayr-/hat-vektoren~af~en~vektor~x~(2d).~Fx~Hat(~[2,3]~)F&F &6$%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG %'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$ HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG %&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&6#F<6$%*protectedG/%+modulenameG%*G ymVektorG M7R0 I':-1910t+6#%"aG6"F&F&O-%)DescribeG6#9$F&F&6$%6_thismoduledefinitionGb6#%+thism oduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG% +ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorM ellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F &F&F&F&6#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1895t+6#%"xG6"F&F&O-T%6#9$F&F&6&%6_thismoduledefinitionGb6#%+thismoduleG6#% $visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+Projekti onG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+T v|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&F7 c'L|ayngde':-18946#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1893t+6$%"xG%"yG6"F'F'C$@$3/-&%.LinearAlgebraG6#%*DimensionG6#9$""#/-F-6#9% F3O,&*&&F26#"""F=&F76#F3F=F=*&&F2F?F=&F7F%"bG%%NULLG>%"cGF(>%"dGF(>%"eGF(>%"fGF(>%"gGF(>%"hGF(6$%"PG%"i G6"F8C+@&-%%typeG6$9$%'VectorG>&8$6#"""-T%6#F>-F<6$F>%%listG>FA-T'6$&F>FC&F>6#" "#@'-F<6$9%F?>&FBFQ-FF6#FV-F<6$FVFJ>FX-FM6$&FVFC&FVFQ>FXF(@'-F<6$9&F?>&FB6#""$- FF6#F`o-F<6$F`oFJ>Fbo-FM6$&F`oFC&F`oFQ>FboF(@'-F<6$9'F?>&FB6#""%-FF6#Fbp-F<6$Fb pFJ>Fdp-FM6$&FbpFC&FbpFQ>FdpF(@'-F<6$9(F?>&FB6#""&-FF6#Fdq-F<6$FdqFJ>Ffq-FM6$&F dqFCF_q>FfqF(@'-F<6$9)F?>&FB6#""'-FF6#Fer-F<6$FerFJ>Fgr-FM6$&FerFCF_q>FgrF(@'-F <6$9*F?>&FB6#""(-FF6#Ffs-F<6$FfsFJ>Fhs-FM6$&FfsFCF_q>FhsF(@'-F<6$9+F?>&FB6#"")- FF6#Fgt-F<6$FgtFJ>Fit-FM6$&FgtFCF_q>FitF(O-_%&plotsG%(displayG6#-%$seqG6$&FB6#8 %/F`v;FDF[u6#QhvViser~op~til~otte~vektorer~i~samme~koordinatsystem.~~Fx:~~VisVe ktor(<1,2,3>,~viser~stedvektoren~og~VisVektor(a,b,c,[a,b],~[a,c]),~viser~vektor ene~a,b,c~og~vektorene~mellem~a~og~b~og~a~og~c~F8F86(%6_thismoduledefinitionGb6 #%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG %%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0Vi sVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(For klarGF8F8F8F8F8F[wc$vis':-1911Fjwc0VisVektorMellem':-19046#F[u6$%*protectedG/%+ modulenameG%*GymVektorG M7R0 I':-1894t+6#'%"xG%'VectorG6"F(F(O-%%normG6$9$""#6#Q[oBeregner~den~eksakte~l|ayn gde~af~en~vektor~x.~Fx~L|ayngde(~[3,~-4]~)F(F(6$%6_thismoduledefinitionGb6#%+th ismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%Lae nG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVekt orMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarG F(F(F(F(F(6#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1911t+6#>%"aG%%NULLG6'%"nG%#p1G%#p2G%#p3G%&koordG6"F.C)@$/9$F'OF'>8$-&%.Lin earAlgebraG6#%*DimensionG6#F2>8(-%$seqG6$,$&F26#%"iG#"""""#/FD;FFF5>8%-_%&plots G%&arrowG6&F2/%(scalingG%,constrainedG/%&shapeGFO/%&colorG7$%$redG%%blueG@$/F5" "$C$>8'-&FN6#%+textplot3dG6#7&F=-%(typesetGF;/%%fontG7%%&TIMESG%%BOLDG""*/%%axe sG%'normalG>8&-_FN%,pointplot3dG6(F2/Fjo%&boxedG/FW%&blackG/%+symbolsizeG"#5/%' symbolG%,solidcircleG/%'labelsG7%%"xG%"yG%"zG@$/F5FGC$>Fjn-&FN6#%)textplotGF_o> F]p-_FN%*pointplotG6'F2FioFdp/Fgp""&FipO-_FN%(displayG6%FKF]pFjnF.F.6$%6_thismo duledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG% (LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'Vinkel G%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.Ve ktorVersionG%(ForklarGF.F.F.F.F.6#FF/%+modulenameG%*GymVektorG M7R0 I':-1898t+6$%"aG%"bG6"F'F'O*(-_%,TypesettingG%0delayDotProductG6$9$9%"""F0F1-T% 6#F0!"#6#QapBeregner~den~eksakte~projektion~af~vektor~a~p|`y~vektor~b.~Fx~Proje ktion([20,4]~,[2,-3])F'F'6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%( packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%Proj G%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvekt orG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'FCc'L|ayngd e':-18946#""#6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1899t+6$%"aG%"bG6"F'F'O-%&evalfG6#-T%6$9$9%6#Q`qBeregner~den~approksimerede /afrundede~projektion~af~vektor~a~p|`y~vektor~b.~Fx.~Proj(~[20,4]~,~[2,-3]~)F'F '6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG %'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$ HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG %&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'FBc+Projektion':-18986#""#6$%*prote ctedG/%+modulenameG%*GymVektorG M7R0 I':-1897t+6#%"xG6"F&F&O-&%&evalfG6#"#56#-T%6#9$6#Q`oBeregner~den~approksimerede ~(afrundede)~l|ayngde~af~~en~vektor~x.~(mac)F&F&6&%6_thismoduledefinitionGb6#%+ thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%L aenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVe ktorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(Forkla rGF&F&F&F&F&F?c'L|ayngde':-18946#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1900t+6$%"aG%"bG6"F'F'C$@$3/-&%.LinearAlgebraG6#%*DimensionG6#9$-F-6#9%2""# F,O-T%6#-_F.%-CrossProductG6$F2F5@$3F+/F,F7O-%$absG6#-T'F?6#Q]oBeregner~arealet ~af~parallelogrammet~udsp|ayndt~af~vektorerne~a~og~bF'F'6(%6_thismoduledefiniti onGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L |aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektor G%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG %(ForklarGF'F'F'F'F'FVc'L|ayngde':-1894FUc,Determinant':-18936#F76$%*protectedG /%+modulenameG%*GymVektorG M7R0 I':-1896t+6#%"xG6"F&F&O-&%&evalfG6#"#56#-T%6#9$6#Q[pBeregner~den~approksimerede ~(afrundede)~l|ayngde~af~~en~vektor~x.~Fx~L|ayn(~[3,-4])~F&F&6&%6_thismoduledef initionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(Laengd eG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisV ektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVer sionG%(ForklarGF&F&F&F&F&F?c'L|ayngde':-18946#"""6$%*protectedG/%+modulenameG%* GymVektorG M7R0 I':-1908t+6$%"aG%"bG6"F'F'C$@$3/-&%.LinearAlgebraG6#%*DimensionG6#9$-F-6#9%2""# F,O-_F.%-CrossProductG6$F2F5O-%'lprintG6#Q'Fejl..F'6#QaqBeregner~kryds-/vektor- produktet~mellem~vektorerne~a~og~b~(Man~kan~ogs|`y~bruge~notationen~:~a×b )~F'F'6$%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,Determi nantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramAre alG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%% PrikG%&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'6#F76$%*protectedG/%+modulenam eG%*GymVektorG M7R0 I':-1907t+6$%"aG%"bG6"F'F'O-%$addG6$*&&9$6#%"iG"""&9%F/F1/F0;F1-&%.LinearAlgebr aG6#%*DimensionG6#F.6#Q`qBeregner~prikproduktet~mellem~vektorerne~a~og~b~(man~k an~ogs|`y~bruge~notationen:~a.b~eller~a·b)F'F'6$%6_thismoduledefinitionG b6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|ay nG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0 VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(F orklarGF'F'F'F'F'6#""#6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1905t+6#%"xG6"F&F&O-T%6#9$6#QPBeregner~tv|ayr-/hat-vektoren~af~en~vektor~a~ (2d)F&F&6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,Deter minantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramA realG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG %%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&F@c$Hat':-19016#"""6$%*prote ctedG/%+modulenameG%*GymVektorG M7R0 I':-1906t+6#%"xG6"F&F&O-T%6#9$6#QQBeregner~tv|ayr-/hat-vektoren~af~en~vektor~a~ (2d).F&F&6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,Dete rminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3Parallelogram ArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,Tvaervektor G%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&F@c$Hat':-19016#"""6$%*prot ectedG/%+modulenameG%*GymVektorG M7R0 I':-1904t+6$%"AG%"BG6)%#p1G%#p2G%#p3G%"vG%"mG%"nG%&koordG6"F/C*>8)-&%.LinearAlg ebraG6#%*DimensionG6#%"aG>8',&9%"""9$!"">8(,&F?#F>""#F=FD>8*-%$seqG6$&FB6#%"iG/ FM;F>F2>8$-_%&plotsG%&arrowG6(F?F=/%+differenceG%%trueG/%(scalingG%,constrained G/%&shapeGFU/%&colorG7$Q+DarkOrchidF/%&blackG@$/F2FEC$-&FT6#%)textplotG6#7&FG-% (typesetG6#F;/%%fontG7%%&TIMESG%%BOLDG""*/%%axesG%'normalG>8%-_FT%*pointplotG6' ,&F?F>F;F>F`p/FjnF]o/%+symbolsizeG""&/%'symbolG%,solidcircleG@$/F2""$C$>8&-&FT6 #%+textplot3dGFeo>Fdp-_FT%,pointplot3dG6(Fip/Fap%&boxedGFjpF[qF^q/%'labelsG7%%" xG%"yG%"zGO-_FT%(displayG6$FQFdp6#QbpViser~vektoren~mellem~punkterne/vektorerne ~A~og~B.~Fx~VisVektorMellem(<1,2,3>,<-1,4,0>)F/F/6$%6_thismoduledefinitionGb6#% +thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%% LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisV ektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(Forkl arGF/F/F/F/F/6#FE6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I*GymVektor`64c,Determinant':-1912c'L|ayngde':-1913c(Laengde':-1914c$L|ayn':-19 15c%Laen':-1916c+Projektion':-1917c%Proj':-1918c3ParallelogramAreal':-1919c$Hat ':-1920c'Vinkel':-1921c*VisVektor':-1922c0VisVektorMellem':-1923c+Tv|ayrvektor' :-1924c,Tvaervektor':-1925c%Prik':-1926c&Kryds':-1927c.VektorVersion':-1928c(Fo rklar':-1929b6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(La engdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%* VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.Vekto rVersionG%(ForklarG6"FQFQFQ%,_m301261756G6#c$vis':-1930FQ M7R0 I':-1925t+6#%"xG6"F&F&O-T%6#9$6#QQBeregner~tv|ayr-/hat-vektoren~af~en~vektor~a~ (2d).F&F&6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,Dete rminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3Parallelogram ArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,Tvaervektor G%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&F@c$Hat':-19206#"""6$%*prot ectedG/%+modulenameG%*GymVektorG M7R0 I':-1917t+6$%"aG%"bG6"F'F'O*(-_%,TypesettingG%0delayDotProductG6$9$9%"""F0F1-T% 6#F0!"#6#QapBeregner~den~eksakte~projektion~af~vektor~a~p|`y~vektor~b.~Fx~Proje ktion([20,4]~,[2,-3])F'F'6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%( packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%Proj G%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvekt orG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'FCc'L|ayngd e':-19136#""#6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1919t+6$%"aG%"bG6"F'F'C$@$3/-&%.LinearAlgebraG6#%*DimensionG6#9$-F-6#9%2""# F,O-T%6#-_F.%-CrossProductG6$F2F5@$3F+/F,F7O-%$absG6#-T'F?6#Q]oBeregner~arealet ~af~parallelogrammet~udsp|ayndt~af~vektorerne~a~og~bF'F'6(%6_thismoduledefiniti onGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L |aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektor G%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG %(ForklarGF'F'F'F'F'FVc'L|ayngde':-1913FUc,Determinant':-19126#F76$%*protectedG /%+modulenameG%*GymVektorG M7R0 I':-1926t+6$%"aG%"bG6"F'F'O-%$addG6$*&&9$6#%"iG"""&9%F/F1/F0;F1-&%.LinearAlgebr aG6#%*DimensionG6#F.6#Q`qBeregner~prikproduktet~mellem~vektorerne~a~og~b~(man~k an~ogs|`y~bruge~notationen:~a.b~eller~a·b)F'F'6$%6_thismoduledefinitionG b6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|ay nG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0 VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(F orklarGF'F'F'F'F'6#""#6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1927t+6$%"aG%"bG6"F'F'C$@$3/-&%.LinearAlgebraG6#%*DimensionG6#9$-F-6#9%2""# F,O-_F.%-CrossProductG6$F2F5O-%'lprintG6#Q'Fejl..F'6#QaqBeregner~kryds-/vektor- produktet~mellem~vektorerne~a~og~b~(Man~kan~ogs|`y~bruge~notationen~:~a×b )~F'F'6$%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,Determi nantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramAre alG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%% PrikG%&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'6#F76$%*protectedG/%+modulenam eG%*GymVektorG M7R0 I':-1918t+6$%"aG%"bG6"F'F'O-%&evalfG6#-T%6$9$9%6#Q`qBeregner~den~approksimerede /afrundede~projektion~af~vektor~a~p|`y~vektor~b.~Fx.~Proj(~[20,4]~,~[2,-3]~)F'F '6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG %'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$ HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG %&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'FBc+Projektion':-19176#""#6$%*prote ctedG/%+modulenameG%*GymVektorG M7R0 I':-1914t+6#%"xG6"F&F&O-T%6#9$F&F&6&%6_thismoduledefinitionGb6#%+thismoduleG6#% $visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+Projekti onG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+T v|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&F7 c'L|ayngde':-19136#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1928t+6"F$F$F$O-%'lprintG6#QatGymVektor.mla~version~2012.03.04~E~af~Loo~Fan g~Yenn.~Distribueres~under~GNU-licens.~Tak~til~Steen~Toft~J|czrgensen~for~test~ og~forslag~til~forbedringer.F$6#Q_pFort|ayller~hvilken~version~af~GymVektor-pak ke~du~har~installeret.~Fx~VektorVersion()~F$F$6$%6_thismoduledefinitionGb6#%+th ismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%Lae nG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVekt orMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarG F$F$F$F$F$6#""!6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1913t+6#'%"xG%'VectorG6"F(F(O-%%normG6$9$""#6#Q[oBeregner~den~eksakte~l|ayn gde~af~en~vektor~x.~Fx~L|ayngde(~[3,~-4]~)F(F(6$%6_thismoduledefinitionGb6#%+th ismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%Lae nG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVekt orMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarG F(F(F(F(F(6#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1915t+6#%"xG6"F&F&O-&%&evalfG6#"#56#-T%6#9$6#Q[pBeregner~den~approksimerede ~(afrundede)~l|ayngde~af~~en~vektor~x.~Fx~L|ayn(~[3,-4])~F&F&6&%6_thismoduledef initionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(Laengd eG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisV ektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVer sionG%(ForklarGF&F&F&F&F&F?c'L|ayngde':-19136#"""6$%*protectedG/%+modulenameG%* GymVektorG M7R0 I':-1912t+6$%"xG%"yG6"F'F'C$@$3/-&%.LinearAlgebraG6#%*DimensionG6#9$""#/-F-6#9% F3O,&*&&F26#"""F=&F76#F3F=F=*&&F2F?F=&F7F%"aG%%NULLG6'%"nG%#p1G%#p2G%#p3G%&koordG6"F.C)@$/9$F'OF'>8$-&%.Lin earAlgebraG6#%*DimensionG6#F2>8(-%$seqG6$,$&F26#%"iG#"""""#/FD;FFF5>8%-_%&plots G%&arrowG6&F2/%(scalingG%,constrainedG/%&shapeGFO/%&colorG7$%$redG%%blueG@$/F5" "$C$>8'-&FN6#%+textplot3dG6#7&F=-%(typesetGF;/%%fontG7%%&TIMESG%%BOLDG""*/%%axe sG%'normalG>8&-_FN%,pointplot3dG6(F2/Fjo%&boxedG/FW%&blackG/%+symbolsizeG"#5/%' symbolG%,solidcircleG/%'labelsG7%%"xG%"yG%"zG@$/F5FGC$>Fjn-&FN6#%)textplotGF_o> F]p-_FN%*pointplotG6'F2FioFdp/Fgp""&FipO-_FN%(displayG6%FKF]pFjnF.F.6$%6_thismo duledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG% (LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'Vinkel G%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.Ve ktorVersionG%(ForklarGF.F.F.F.F.6#FF/%+modulenameG%*GymVektorG M7R0 I':-1923t+6$%"AG%"BG6)%#p1G%#p2G%#p3G%"vG%"mG%"nG%&koordG6"F/C*>8)-&%.LinearAlg ebraG6#%*DimensionG6#%"aG>8',&9%"""9$!"">8(,&F?#F>""#F=FD>8*-%$seqG6$&FB6#%"iG/ FM;F>F2>8$-_%&plotsG%&arrowG6(F?F=/%+differenceG%%trueG/%(scalingG%,constrained G/%&shapeGFU/%&colorG7$Q+DarkOrchidF/%&blackG@$/F2FEC$-&FT6#%)textplotG6#7&FG-% (typesetG6#F;/%%fontG7%%&TIMESG%%BOLDG""*/%%axesG%'normalG>8%-_FT%*pointplotG6' ,&F?F>F;F>F`p/FjnF]o/%+symbolsizeG""&/%'symbolG%,solidcircleG@$/F2""$C$>8&-&FT6 #%+textplot3dGFeo>Fdp-_FT%,pointplot3dG6(Fip/Fap%&boxedGFjpF[qF^q/%'labelsG7%%" xG%"yG%"zGO-_FT%(displayG6$FQFdp6#QbpViser~vektoren~mellem~punkterne/vektorerne ~A~og~B.~Fx~VisVektorMellem(<1,2,3>,<-1,4,0>)F/F/6$%6_thismoduledefinitionGb6#% +thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%% LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisV ektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(Forkl arGF/F/F/F/F/6#FE6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1922t+6*%"aG>%"bG%%NULLG>%"cGF(>%"dGF(>%"eGF(>%"fGF(>%"gGF(>%"hGF(6$%"PG%"i G6"F8C+@&-%%typeG6$9$%'VectorG>&8$6#"""-T%6#F>-F<6$F>%%listG>FA-T'6$&F>FC&F>6#" "#@'-F<6$9%F?>&FBFQ-FF6#FV-F<6$FVFJ>FX-FM6$&FVFC&FVFQ>FXF(@'-F<6$9&F?>&FB6#""$- FF6#F`o-F<6$F`oFJ>Fbo-FM6$&F`oFC&F`oFQ>FboF(@'-F<6$9'F?>&FB6#""%-FF6#Fbp-F<6$Fb pFJ>Fdp-FM6$&FbpFC&FbpFQ>FdpF(@'-F<6$9(F?>&FB6#""&-FF6#Fdq-F<6$FdqFJ>Ffq-FM6$&F dqFCF_q>FfqF(@'-F<6$9)F?>&FB6#""'-FF6#Fer-F<6$FerFJ>Fgr-FM6$&FerFCF_q>FgrF(@'-F <6$9*F?>&FB6#""(-FF6#Ffs-F<6$FfsFJ>Fhs-FM6$&FfsFCF_q>FhsF(@'-F<6$9+F?>&FB6#"")- FF6#Fgt-F<6$FgtFJ>Fit-FM6$&FgtFCF_q>FitF(O-_%&plotsG%(displayG6#-%$seqG6$&FB6#8 %/F`v;FDF[u6#QfwViser~op~til~otte~vektorer~i~samme~koordinatsystem.~~Fx:~~VisVe ktor(a),~viser~stedvektoren~for~vektor~a,~og~VisVektor(a,b,c,[a,b],~[a,c]),~vis er~hhv.~vektorene~a,b,c~og~vektorene~mellem~a~og~b~og~a~og~c~F8F86(%6_thismodul edefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(La engdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%* VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.Vekto rVersionG%(ForklarGF8F8F8F8F8F[wc$vis':-1930Fjwc0VisVektorMellem':-19236#F[u6$% *protectedG/%+modulenameG%*GymVektorG M7R0 I':-1921t+6$%"aG%"bG6"F'F'O,$*&-%'arccosG6#*(-T%6$9$9%"""-T'6#F2!""-F66#F3F8F4% #PiGF8"$!=6#Q^pBeregner~den~vinklen~mellem~vektorerne~a~og~b~i~grader.~Fx~Vinke l(~[-1,2]~,~[2,1]~)F'F'6(%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(pa ckageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG% 3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektor G%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'FWc%Prik':-19 26FJc'L|ayngde':-19136#""#6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1920t+6#%"xG6"F&F&C$@$/-&%.LinearAlgebraG6#%*DimensionG6#9$""#O-%$<,>G6$,$& F06#F1!""&F06#"""-%'lprintG6#QTAdvarsel!~Kun~beregnet~til~2~dimensionelle~vekto rerF&6#Q[oBeregner~tv|ayr-/hat-vektoren~af~en~vektor~x~(2d).~Fx~Hat(~[2,3]~)F&F &6$%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG %'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$ HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG %&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&6#F<6$%*protectedG/%+modulenameG%*G ymVektorG M7R0 I*GymVektor`64c,Determinant':-1931c'L|ayngde':-1932c(Laengde':-1933c$L|ayn':-19 34c%Laen':-1935c+Projektion':-1936c%Proj':-1937c3ParallelogramAreal':-1938c$Hat ':-1939c'Vinkel':-1940c*VisVektor':-1941c0VisVektorMellem':-1942c+Tv|ayrvektor' :-1943c,Tvaervektor':-1944c%Prik':-1945c&Kryds':-1946c.VektorVersion':-1947c(Fo rklar':-1948b6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(La engdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%* VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.Vekto rVersionG%(ForklarG6"FQFQFQ%,_m246524448G6#c$vis':-1949FQ M7R0 I':-1942t+6$%"AG%"BG6)%#p1G%#p2G%#p3G%"vG%"mG%"nG%&koordG6"F/C*>8)-&%.LinearAlg ebraG6#%*DimensionG6#%"aG>8',&9%"""9$!"">8(,&F?#F>""#F=FD>8*-%$seqG6$&FB6#%"iG/ FM;F>F2>8$-_%&plotsG%&arrowG6(F?F=/%+differenceG%%trueG/%(scalingG%,constrained G/%&shapeGFU/%&colorG7$Q+DarkOrchidF/%&blackG@$/F2FEC$-&FT6#%)textplotG6#7&FG-% (typesetG6#F;/%%fontG7%%&TIMESG%%BOLDG""*/%%axesG%'normalG>8%-_FT%*pointplotG6' ,&F?F>F;F>F`p/FjnF]o/%+symbolsizeG""&/%'symbolG%,solidcircleG@$/F2""$C$>8&-&FT6 #%+textplot3dGFeo>Fdp-_FT%,pointplot3dG6(Fip/Fap%&boxedGFjpF[qF^q/%'labelsG7%%" xG%"yG%"zGO-_FT%(displayG6$FQFdp6#QbpViser~vektoren~mellem~punkterne/vektorerne ~A~og~B.~Fx~VisVektorMellem(<1,2,3>,<-1,4,0>)F/F/6$%6_thismoduledefinitionGb6#% +thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%% LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisV ektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(Forkl arGF/F/F/F/F/6#FE6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1947t+6"F$F$F$O-%'lprintG6#QatGymVektor.mla~version~2012.03.04~E~af~Loo~Fan g~Yenn.~Distribueres~under~GNU-licens.~Tak~til~Steen~Toft~J|czrgensen~for~test~ og~forslag~til~forbedringer.F$6#Q_pFort|ayller~hvilken~version~af~GymVektor-pak ke~du~har~installeret.~Fx~VektorVersion()~F$F$6$%6_thismoduledefinitionGb6#%+th ismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%Lae nG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVekt orMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarG F$F$F$F$F$6#""!6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1946t+6$%"aG%"bG6"F'F'C$@$3/-&%.LinearAlgebraG6#%*DimensionG6#9$-F-6#9%2""# F,O-_F.%-CrossProductG6$F2F5O-%'lprintG6#Q'Fejl..F'6#QaqBeregner~kryds-/vektor- produktet~mellem~vektorerne~a~og~b~(Man~kan~ogs|`y~bruge~notationen~:~a×b )~F'F'6$%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,Determi nantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramAre alG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%% PrikG%&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'6#F76$%*protectedG/%+modulenam eG%*GymVektorG M7R0 I':-1943t+6#%"xG6"F&F&O-T%6#9$6#QPBeregner~tv|ayr-/hat-vektoren~af~en~vektor~a~ (2d)F&F&6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,Deter minantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramA realG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG %%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&F@c$Hat':-19396#"""6$%*prote ctedG/%+modulenameG%*GymVektorG M7R0 I':-1931t+6$%"xG%"yG6"F'F'C$@$3/-&%.LinearAlgebraG6#%*DimensionG6#9$""#/-F-6#9% F3O,&*&&F26#"""F=&F76#F3F=F=*&&F2F?F=&F7F%"aG%%NULLG6'%"nG%#p1G%#p2G%#p3G%&koordG6"F.C)@$/9$F'OF'>8$-&%.Lin earAlgebraG6#%*DimensionG6#F2>8(-%$seqG6$,$&F26#%"iG#"""""#/FD;FFF5>8%-_%&plots G%&arrowG6&F2/%(scalingG%,constrainedG/%&shapeGFO/%&colorG7$%$redG%%blueG@$/F5" "$C$>8'-&FN6#%+textplot3dG6#7&F=-%(typesetGF;/%%fontG7%%&TIMESG%%BOLDG""*/%%axe sG%'normalG>8&-_FN%,pointplot3dG6(F2/Fjo%&boxedG/FW%&blackG/%+symbolsizeG"#5/%' symbolG%,solidcircleG/%'labelsG7%%"xG%"yG%"zG@$/F5FGC$>Fjn-&FN6#%)textplotGF_o> F]p-_FN%*pointplotG6'F2FioFdp/Fgp""&FipO-_FN%(displayG6%FKF]pFjnF.F.6$%6_thismo duledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG% (LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'Vinkel G%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.Ve ktorVersionG%(ForklarGF.F.F.F.F.6#FF/%+modulenameG%*GymVektorG M7R0 I':-1940t+6$%"aG%"bG6"F'F'O,$*&-%'arccosG6#*(-T%6$9$9%"""-T'6#F2!""-F66#F3F8F4% #PiGF8"$!=6#Q^pBeregner~den~vinklen~mellem~vektorerne~a~og~b~i~grader.~Fx~Vinke l(~[-1,2]~,~[2,1]~)F'F'6(%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(pa ckageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG% 3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektor G%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'FWc%Prik':-19 45FJc'L|ayngde':-19326#""#6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1932t+6#'%"xG%'VectorG6"F(F(O-%%normG6$9$""#6#Q[oBeregner~den~eksakte~l|ayn gde~af~en~vektor~x.~Fx~L|ayngde(~[3,~-4]~)F(F(6$%6_thismoduledefinitionGb6#%+th ismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%Lae nG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVekt orMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarG F(F(F(F(F(6#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1933t+6#%"xG6"F&F&O-T%6#9$F&F&6&%6_thismoduledefinitionGb6#%+thismoduleG6#% $visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+Projekti onG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+T v|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&F7 c'L|ayngde':-19326#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1941t+6*%"aG>%"bG%%NULLG>%"cGF(>%"dGF(>%"eGF(>%"fGF(>%"gGF(>%"hGF(6$%"PG%"i G6"F8C+@&-%%typeG6$9$%'VectorG>&8$6#"""-T%6#F>-F<6$F>%%listG>FA-T'6$&F>FC&F>6#" "#@'-F<6$9%F?>&FBFQ-FF6#FV-F<6$FVFJ>FX-FM6$&FVFC&FVFQ>FXF(@'-F<6$9&F?>&FB6#""$- FF6#F`o-F<6$F`oFJ>Fbo-FM6$&F`oFC&F`oFQ>FboF(@'-F<6$9'F?>&FB6#""%-FF6#Fbp-F<6$Fb pFJ>Fdp-FM6$&FbpFC&FbpFQ>FdpF(@'-F<6$9(F?>&FB6#""&-FF6#Fdq-F<6$FdqFJ>Ffq-FM6$&F dqFCF_q>FfqF(@'-F<6$9)F?>&FB6#""'-FF6#Fer-F<6$FerFJ>Fgr-FM6$&FerFCF_q>FgrF(@'-F <6$9*F?>&FB6#""(-FF6#Ffs-F<6$FfsFJ>Fhs-FM6$&FfsFCF_q>FhsF(@'-F<6$9+F?>&FB6#"")- FF6#Fgt-F<6$FgtFJ>Fit-FM6$&FgtFCF_q>FitF(O-_%&plotsG%(displayG6#-%$seqG6$&FB6#8 %/F`v;FDF[u6#QcyViser~op~til~otte~vektorer~i~samme~koordinatsystem.~~Fx:~~VisVe ktor(a,c,b),~viser~stedvektoren~for~vektorne~a,~b~og~c.~Kan~ogs|`y~vise~vektor~ mellem~to~punkter~(vektorer)~og~VisVektor([a,b]),~viser~hhv.~vektoren,~der~g|`y r~fra~a~til~b.~F8F86(%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packag eG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3Par allelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,T vaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF8F8F8F8F8F[wc$vis':-1949Fj wc0VisVektorMellem':-19426#F[u6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1948t+6#%"aG6"F&F&O-%)DescribeG6#9$F&F&6$%6_thismoduledefinitionGb6#%+thism oduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG% +ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorM ellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F &F&F&F&6#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1938t+6$%"aG%"bG6"F'F'C$@$3/-&%.LinearAlgebraG6#%*DimensionG6#9$-F-6#9%2""# F,O-T%6#-_F.%-CrossProductG6$F2F5@$3F+/F,F7O-%$absG6#-T'F?6#Q]oBeregner~arealet ~af~parallelogrammet~udsp|ayndt~af~vektorerne~a~og~bF'F'6(%6_thismoduledefiniti onGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L |aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektor G%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG %(ForklarGF'F'F'F'F'FVc'L|ayngde':-1932FUc,Determinant':-19316#F76$%*protectedG /%+modulenameG%*GymVektorG M7R0 I':-1939t+6#%"xG6"F&F&C$@$/-&%.LinearAlgebraG6#%*DimensionG6#9$""#O-%$<,>G6$,$& F06#F1!""&F06#"""-%'lprintG6#QTAdvarsel!~Kun~beregnet~til~2~dimensionelle~vekto rerF&6#Q[oBeregner~tv|ayr-/hat-vektoren~af~en~vektor~x~(2d).~Fx~Hat(~[2,3]~)F&F &6$%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG %'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$ HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG %&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&6#F<6$%*protectedG/%+modulenameG%*G ymVektorG M7R0 I':-1937t+6$%"aG%"bG6"F'F'O-%&evalfG6#-T%6$9$9%6#Q`qBeregner~den~approksimerede /afrundede~projektion~af~vektor~a~p|`y~vektor~b.~Fx.~Proj(~[20,4]~,~[2,-3]~)F'F '6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG %'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$ HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG %&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'FBc+Projektion':-19366#""#6$%*prote ctedG/%+modulenameG%*GymVektorG M7R0 I':-1936t+6$%"aG%"bG6"F'F'O*(-_%,TypesettingG%0delayDotProductG6$9$9%"""F0F1-T% 6#F0!"#6#QapBeregner~den~eksakte~projektion~af~vektor~a~p|`y~vektor~b.~Fx~Proje ktion([20,4]~,[2,-3])F'F'6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%( packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%Proj G%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvekt orG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'FCc'L|ayngd e':-19326#""#6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1935t+6#%"xG6"F&F&O-&%&evalfG6#"#56#-T%6#9$6#Q`oBeregner~den~approksimerede ~(afrundede)~l|ayngde~af~~en~vektor~x.~(mac)F&F&6&%6_thismoduledefinitionGb6#%+ thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%L aenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVe ktorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(Forkla rGF&F&F&F&F&F?c'L|ayngde':-19326#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1934t+6#%"xG6"F&F&O-&%&evalfG6#"#56#-T%6#9$6#Q[pBeregner~den~approksimerede ~(afrundede)~l|ayngde~af~~en~vektor~x.~Fx~L|ayn(~[3,-4])~F&F&6&%6_thismoduledef initionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(Laengd eG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisV ektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVer sionG%(ForklarGF&F&F&F&F&F?c'L|ayngde':-19326#"""6$%*protectedG/%+modulenameG%* GymVektorG M7R0 I*GymVektor`64c,Determinant':-1950c'L|ayngde':-1951c(Laengde':-1952c$L|ayn':-19 53c%Laen':-1954c+Projektion':-1955c%Proj':-1956c3ParallelogramAreal':-1957c$Hat ':-1958c'Vinkel':-1959c*VisVektor':-1960c0VisVektorMellem':-1961c+Tv|ayrvektor' :-1962c,Tvaervektor':-1963c%Prik':-1964c&Kryds':-1965c.VektorVersion':-1966c(Fo rklar':-1967b6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(La engdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%* VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.Vekto rVersionG%(ForklarG6"FQFQFQ%,_m149100340G6#c$vis':-1968FQ M7R0 I':-1959t+6$%"aG%"bG6"F'F'O,$*&-%'arccosG6#*(-T%6$9$9%"""-T'6#F2!""-F66#F3F8F4% #PiGF8"$!=6#Q^pBeregner~den~vinklen~mellem~vektorerne~a~og~b~i~grader.~Fx~Vinke l(~[-1,2]~,~[2,1]~)F'F'6(%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(pa ckageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG% 3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektor G%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'FWc%Prik':-19 64FJc'L|ayngde':-19516#""#6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1967t+6#%"aG6"F&F&O-%)DescribeG6#9$F&F&6$%6_thismoduledefinitionGb6#%+thism oduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG% +ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorM ellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F &F&F&F&6#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1966t+6"F$F$F$O-%'lprintG6#QatGymVektor.mla~version~2012.03.04~E~af~Loo~Fan g~Yenn.~Distribueres~under~GNU-licens.~Tak~til~Steen~Toft~J|czrgensen~for~test~ og~forslag~til~forbedringer.F$6#Q_pFort|ayller~hvilken~version~af~GymVektor-pak ke~du~har~installeret.~Fx~VektorVersion()~F$F$6$%6_thismoduledefinitionGb6#%+th ismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%Lae nG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVekt orMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarG F$F$F$F$F$6#""!6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1958t+6#%"xG6"F&F&C$@$/-&%.LinearAlgebraG6#%*DimensionG6#9$""#O-%$<,>G6$,$& F06#F1!""&F06#"""-%'lprintG6#QTAdvarsel!~Kun~beregnet~til~2~dimensionelle~vekto rerF&6#Q[oBeregner~tv|ayr-/hat-vektoren~af~en~vektor~x~(2d).~Fx~Hat(~[2,3]~)F&F &6$%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG %'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$ HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG %&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&6#F<6$%*protectedG/%+modulenameG%*G ymVektorG M7R0 I':-1957t+6$%"aG%"bG6"F'F'C$@$3/-&%.LinearAlgebraG6#%*DimensionG6#9$-F-6#9%2""# F,O-T%6#-_F.%-CrossProductG6$F2F5@$3F+/F,F7O-%$absG6#-T'F?6#Q]oBeregner~arealet ~af~parallelogrammet~udsp|ayndt~af~vektorerne~a~og~bF'F'6(%6_thismoduledefiniti onGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L |aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektor G%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG %(ForklarGF'F'F'F'F'FVc'L|ayngde':-1951FUc,Determinant':-19506#F76$%*protectedG /%+modulenameG%*GymVektorG M7R0 I':-1956t+6$%"aG%"bG6"F'F'O-%&evalfG6#-T%6$9$9%6#Q`qBeregner~den~approksimerede /afrundede~projektion~af~vektor~a~p|`y~vektor~b.~Fx.~Proj(~[20,4]~,~[2,-3]~)F'F '6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG %'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$ HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG %&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'FBc+Projektion':-19556#""#6$%*prote ctedG/%+modulenameG%*GymVektorG M7R0 I':-1968t+6#>%"aG%%NULLG6'%"nG%#p1G%#p2G%#p3G%&koordG6"F.C)@$/9$F'OF'>8$-&%.Lin earAlgebraG6#%*DimensionG6#F2>8(-%$seqG6$,$&F26#%"iG#"""""#/FD;FFF5>8%-_%&plots G%&arrowG6&F2/%(scalingG%,constrainedG/%&shapeGFO/%&colorG7$%$redG%%blueG@$/F5" "$C$>8'-&FN6#%+textplot3dG6#7&F=-%(typesetGF;/%%fontG7%%&TIMESG%%BOLDG""*/%%axe sG%'normalG>8&-_FN%,pointplot3dG6(F2/Fjo%&boxedG/FW%&blackG/%+symbolsizeG"#5/%' symbolG%,solidcircleG/%'labelsG7%%"xG%"yG%"zG@$/F5FGC$>Fjn-&FN6#%)textplotGF_o> F]p-_FN%*pointplotG6'F2FioFdp/Fgp""&FipO-_FN%(displayG6%FKF]pFjnF.F.6$%6_thismo duledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG% (LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'Vinkel G%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.Ve ktorVersionG%(ForklarGF.F.F.F.F.6#FF/%+modulenameG%*GymVektorG M7R0 I':-1955t+6$%"aG%"bG6"F'F'O*(-_%,TypesettingG%0delayDotProductG6$9$9%"""F0F1-T% 6#F0!"#6#QapBeregner~den~eksakte~projektion~af~vektor~a~p|`y~vektor~b.~Fx~Proje ktion([20,4]~,[2,-3])F'F'6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%( packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%Proj G%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvekt orG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'FCc'L|ayngd e':-19516#""#6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1952t+6#%"xG6"F&F&O-T%6#9$F&F&6&%6_thismoduledefinitionGb6#%+thismoduleG6#% $visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+Projekti onG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+T v|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&F7 c'L|ayngde':-19516#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1961t+6$%"AG%"BG6)%#p1G%#p2G%#p3G%"vG%"mG%"nG%&koordG6"F/C*>8)-&%.LinearAlg ebraG6#%*DimensionG6#%"aG>8',&9%"""9$!"">8(,&F?#F>""#F=FD>8*-%$seqG6$&FB6#%"iG/ FM;F>F2>8$-_%&plotsG%&arrowG6(F?F=/%+differenceG%%trueG/%(scalingG%,constrained G/%&shapeGFU/%&colorG7$Q+DarkOrchidF/%&blackG@$/F2FEC$-&FT6#%)textplotG6#7&FG-% (typesetG6#F;/%%fontG7%%&TIMESG%%BOLDG""*/%%axesG%'normalG>8%-_FT%*pointplotG6' ,&F?F>F;F>F`p/FjnF]o/%+symbolsizeG""&/%'symbolG%,solidcircleG@$/F2""$C$>8&-&FT6 #%+textplot3dGFeo>Fdp-_FT%,pointplot3dG6(Fip/Fap%&boxedGFjpF[qF^q/%'labelsG7%%" xG%"yG%"zGO-_FT%(displayG6$FQFdp6#QbpViser~vektoren~mellem~punkterne/vektorerne ~A~og~B.~Fx~VisVektorMellem(<1,2,3>,<-1,4,0>)F/F/6$%6_thismoduledefinitionGb6#% +thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%% LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisV ektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(Forkl arGF/F/F/F/F/6#FE6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1960t+6*%"aG>%"bG%%NULLG>%"cGF(>%"dGF(>%"eGF(>%"fGF(>%"gGF(>%"hGF(6$%"PG%"i G6"F8C+@&-%%typeG6$9$%'VectorG>&8$6#"""-T%6#F>-F<6$F>%%listG>FA-T'6$&F>FC&F>6#" "#@'-F<6$9%F?>&FBFQ-FF6#FV-F<6$FVFJ>FX-FM6$&FVFC&FVFQ>FXF(@'-F<6$9&F?>&FB6#""$- FF6#F`o-F<6$F`oFJ>Fbo-FM6$&F`oFC&F`oFQ>FboF(@'-F<6$9'F?>&FB6#""%-FF6#Fbp-F<6$Fb pFJ>Fdp-FM6$&FbpFC&FbpFQ>FdpF(@'-F<6$9(F?>&FB6#""&-FF6#Fdq-F<6$FdqFJ>Ffq-FM6$&F dqFCF_q>FfqF(@'-F<6$9)F?>&FB6#""'-FF6#Fer-F<6$FerFJ>Fgr-FM6$&FerFCF_q>FgrF(@'-F <6$9*F?>&FB6#""(-FF6#Ffs-F<6$FfsFJ>Fhs-FM6$&FfsFCF_q>FhsF(@'-F<6$9+F?>&FB6#"")- FF6#Fgt-F<6$FgtFJ>Fit-FM6$&FgtFCF_q>FitF(O-_%&plotsG%(displayG6#-%$seqG6$&FB6#8 %/F`v;FDF[u6#QhvViser~op~til~otte~vektorer~i~samme~koordinatsystem.~~Fx:~~VisVe ktor(<1,2,3>,~viser~stedvektoren~og~VisVektor(a,b,c,[a,b],~[a,c]),~viser~vektor ene~a,b,c~og~vektorene~mellem~a~og~b~og~a~og~c~F8F86(%6_thismoduledefinitionGb6 #%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG %%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0Vi sVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(For klarGF8F8F8F8F8F[wc$vis':-1968Fjwc0VisVektorMellem':-19616#F[u6$%*protectedG/%+ modulenameG%*GymVektorG M7R0 I':-1953t+6#%"xG6"F&F&O-&%&evalfG6#"#56#-T%6#9$6#Q[pBeregner~den~approksimerede ~(afrundede)~l|ayngde~af~~en~vektor~x.~Fx~L|ayn(~[3,-4])~F&F&6&%6_thismoduledef initionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(Laengd eG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisV ektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVer sionG%(ForklarGF&F&F&F&F&F?c'L|ayngde':-19516#"""6$%*protectedG/%+modulenameG%* GymVektorG M7R0 I':-1962t+6#%"xG6"F&F&O-T%6#9$6#QPBeregner~tv|ayr-/hat-vektoren~af~en~vektor~a~ (2d)F&F&6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,Deter minantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramA realG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG %%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&F@c$Hat':-19586#"""6$%*prote ctedG/%+modulenameG%*GymVektorG M7R0 I':-1954t+6#%"xG6"F&F&O-&%&evalfG6#"#56#-T%6#9$6#Q`oBeregner~den~approksimerede ~(afrundede)~l|ayngde~af~~en~vektor~x.~(mac)F&F&6&%6_thismoduledefinitionGb6#%+ thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%L aenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVe ktorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(Forkla rGF&F&F&F&F&F?c'L|ayngde':-19516#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1950t+6$%"xG%"yG6"F'F'C$@$3/-&%.LinearAlgebraG6#%*DimensionG6#9$""#/-F-6#9% F3O,&*&&F26#"""F=&F76#F3F=F=*&&F2F?F=&F7F%"aG%%NULLG6'%"nG%#p1G%#p2G%#p3G%&koordG6"F.C)@$/9$F'OF'>8$-&%.Lin earAlgebraG6#%*DimensionG6#F2>8(-%$seqG6$,$&F26#%"iG#"""""#/FD;FFF5>8%-_%&plots G%&arrowG6&F2/%(scalingG%,constrainedG/%&shapeGFO/%&colorG7$%$redG%%blueG@$/F5" "$C$>8'-&FN6#%+textplot3dG6#7&F=-%(typesetGF;/%%fontG7%%&TIMESG%%BOLDG""*/%%axe sG%'normalG>8&-_FN%,pointplot3dG6(F2/Fjo%&boxedG/FW%&blackG/%+symbolsizeG"#5/%' symbolG%,solidcircleG/%'labelsG7%%"xG%"yG%"zG@$/F5FGC$>Fjn-&FN6#%)textplotGF_o> F]p-_FN%*pointplotG6'F2FioFdp/Fgp""&FipO-_FN%(displayG6%FKF]pFjnF.F.6$%6_thismo duledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG% (LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'Vinkel G%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.Ve ktorVersionG%(ForklarGF.F.F.F.F.6#FF/%+modulenameG%*GymVektorG M7R0 I':-1986t+6#%"aG6"F&F&O-%)DescribeG6#9$F&F&6$%6_thismoduledefinitionGb6#%+thism oduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG% +ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorM ellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F &F&F&F&6#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1978t+6$%"aG%"bG6"F'F'O-&%&evalfG6#"#56#,$*&-%'arccosG6#*(-T%6$9$9%"""-T'6# F8!""-F<6#F9F>F:%#PiGF>"$!=6#Q^pBeregner~den~vinklen~mellem~vektorerne~a~og~b~i ~grader.~Fx~Vinkel(~[-1,2]~,~[2,1]~)F'F'6(%6_thismoduledefinitionGb6#%+thismodu leG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+Pr ojektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMell emG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF'F'F' F'F'Fgnc%Prik':-1983FPc'L|ayngde':-19706#""#6$%*protectedG/%+modulenameG%*GymVe ktorG M7R0 I':-1977t+6#%"xG6"F&F&C$@$/-&%.LinearAlgebraG6#%*DimensionG6#9$""#O-%$<,>G6$,$& F06#F1!""&F06#"""-%'lprintG6#QTAdvarsel!~Kun~beregnet~til~2~dimensionelle~vekto rerF&6#Q[oBeregner~tv|ayr-/hat-vektoren~af~en~vektor~x~(2d).~Fx~Hat(~[2,3]~)F&F &6$%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG %'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$ HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG %&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&6#F<6$%*protectedG/%+modulenameG%*G ymVektorG M7R0 I':-1985t+6"F$F$F$O-%'lprintG6#QctGymVektor.mla~version~2012.03.08~E.b~af~Loo~F ang~Yenn.~Distribueres~under~GNU-licens.~Tak~til~Steen~Toft~J|czrgensen~for~tes t~og~forslag~til~forbedringer.F$6#Q_pFort|ayller~hvilken~version~af~GymVektor-p akke~du~har~installeret.~Fx~VektorVersion()~F$F$6$%6_thismoduledefinitionGb6#%+ thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%L aenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVe ktorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(Forkla rGF$F$F$F$F$6#""!6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1982t+6#%"xG6"F&F&O-T%6#9$6#QQBeregner~tv|ayr-/hat-vektoren~af~en~vektor~a~ (2d).F&F&6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,Dete rminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3Parallelogram ArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,Tvaervektor G%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&F@c$Hat':-19776#"""6$%*prot ectedG/%+modulenameG%*GymVektorG M7R0 I':-1969t+6$%"xG%"yG6"F'F'C$@$3/-&%.LinearAlgebraG6#%*DimensionG6#9$""#/-F-6#9% F3O,&*&&F26#"""F=&F76#F3F=F=*&&F2F?F=&F7F%"bG%%NULLG>%"cGF(>%"dGF(>%"eGF(>%"fGF(>%"gGF(>%"hGF(6$%"PG%"i G6"F8C+@&-%%typeG6$9$%'VectorG>&8$6#"""-T%6#F>-F<6$F>%%listG>FA-T'6$&F>FC&F>6#" "#@'-F<6$9%F?>&FBFQ-FF6#FV-F<6$FVFJ>FX-FM6$&FVFC&FVFQ>FXF(@'-F<6$9&F?>&FB6#""$- FF6#F`o-F<6$F`oFJ>Fbo-FM6$&F`oFC&F`oFQ>FboF(@'-F<6$9'F?>&FB6#""%-FF6#Fbp-F<6$Fb pFJ>Fdp-FM6$&FbpFC&FbpFQ>FdpF(@'-F<6$9(F?>&FB6#""&-FF6#Fdq-F<6$FdqFJ>Ffq-FM6$&F dqFCF_q>FfqF(@'-F<6$9)F?>&FB6#""'-FF6#Fer-F<6$FerFJ>Fgr-FM6$&FerFCF_q>FgrF(@'-F <6$9*F?>&FB6#""(-FF6#Ffs-F<6$FfsFJ>Fhs-FM6$&FfsFCF_q>FhsF(@'-F<6$9+F?>&FB6#"")- FF6#Fgt-F<6$FgtFJ>Fit-FM6$&FgtFCF_q>FitF(O-_%&plotsG%(displayG6#-%$seqG6$&FB6#8 %/F`v;FDF[u6#QhvViser~op~til~otte~vektorer~i~samme~koordinatsystem.~~Fx:~~VisVe ktor(<1,2,3>,~viser~stedvektoren~og~VisVektor(a,b,c,[a,b],~[a,c]),~viser~vektor ene~a,b,c~og~vektorene~mellem~a~og~b~og~a~og~c~F8F86(%6_thismoduledefinitionGb6 #%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG %%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0Vi sVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(For klarGF8F8F8F8F8F[wc$vis':-1987Fjwc0VisVektorMellem':-19806#F[u6$%*protectedG/%+ modulenameG%*GymVektorG M7R0 I':-1980t+6$%"AG%"BG6)%#p1G%#p2G%#p3G%"vG%"mG%"nG%&koordG6"F/C*>8)-&%.LinearAlg ebraG6#%*DimensionG6#%"aG>8',&9%"""9$!"">8(,&F?#F>""#F=FD>8*-%$seqG6$&FB6#%"iG/ FM;F>F2>8$-_%&plotsG%&arrowG6(F?F=/%+differenceG%%trueG/%(scalingG%,constrained G/%&shapeGFU/%&colorG7$Q+DarkOrchidF/%&blackG@$/F2FEC$-&FT6#%)textplotG6#7&FG-% (typesetG6#F;/%%fontG7%%&TIMESG%%BOLDG""*/%%axesG%'normalG>8%-_FT%*pointplotG6' ,&F?F>F;F>F`p/FjnF]o/%+symbolsizeG""&/%'symbolG%,solidcircleG@$/F2""$C$>8&-&FT6 #%+textplot3dGFeo>Fdp-_FT%,pointplot3dG6(Fip/Fap%&boxedGFjpF[qF^q/%'labelsG7%%" xG%"yG%"zGO-_FT%(displayG6$FQFdp6#QbpViser~vektoren~mellem~punkterne/vektorerne ~A~og~B.~Fx~VisVektorMellem(<1,2,3>,<-1,4,0>)F/F/6$%6_thismoduledefinitionGb6#% +thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%% LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisV ektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(Forkl arGF/F/F/F/F/6#FE6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1971t+6#%"xG6"F&F&O-T%6#9$F&F&6&%6_thismoduledefinitionGb6#%+thismoduleG6#% $visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+Projekti onG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+T v|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&F7 c'L|ayngde':-19706#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1973t+6#%"xG6"F&F&O-&%&evalfG6#"#56#-T%6#9$6#Q`oBeregner~den~approksimerede ~(afrundede)~l|ayngde~af~~en~vektor~x.~(mac)F&F&6&%6_thismoduledefinitionGb6#%+ thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%L aenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVe ktorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(Forkla rGF&F&F&F&F&F?c'L|ayngde':-19706#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1981t+6#%"xG6"F&F&O-T%6#9$6#QPBeregner~tv|ayr-/hat-vektoren~af~en~vektor~a~ (2d)F&F&6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,Deter minantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramA realG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG %%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&F@c$Hat':-19776#"""6$%*prote ctedG/%+modulenameG%*GymVektorG M7R0 I*GymVektor`64c,Determinant':-1988c'L|ayngde':-1989c(Laengde':-1990c$L|ayn':-19 91c%Laen':-1992c+Projektion':-1993c%Proj':-1994c3ParallelogramAreal':-1995c$Hat ':-1996c'Vinkel':-1997c*VisVektor':-1998c0VisVektorMellem':-1999c+Tv|ayrvektor' :-2000c,Tvaervektor':-2001c%Prik':-2002c&Kryds':-2003c.VektorVersion':-2004c(Fo rklar':-2005b6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(La engdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%* VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.Vekto rVersionG%(ForklarG6"FQFQFQ%,_m242200184G6#c$vis':-2006FQ M7R0 I':-1988t+6$%"xG%"yG6"F'F'C$@$3/-&%.LinearAlgebraG6#%*DimensionG6#9$""#/-F-6#9% F3O,&*&&F26#"""F=&F76#F3F=F=*&&F2F?F=&F7FG6$,$& F06#F1!""&F06#"""-%'lprintG6#QTAdvarsel!~Kun~beregnet~til~2~dimensionelle~vekto rerF&6#Q[oBeregner~tv|ayr-/hat-vektoren~af~en~vektor~x~(2d).~Fx~Hat(~[2,3]~)F&F &6$%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG %'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$ HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG %&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&6#F<6$%*protectedG/%+modulenameG%*G ymVektorG M7R0 I':-1995t+6$%"aG%"bG6"F'F'C$@$3/-&%.LinearAlgebraG6#%*DimensionG6#9$-F-6#9%2""# F,O-T%6#-_F.%-CrossProductG6$F2F5@$3F+/F,F7O-%$absG6#-T'F?6#Q]oBeregner~arealet ~af~parallelogrammet~udsp|ayndt~af~vektorerne~a~og~bF'F'6(%6_thismoduledefiniti onGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L |aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektor G%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG %(ForklarGF'F'F'F'F'FVc'L|ayngde':-1989FUc,Determinant':-19886#F76$%*protectedG /%+modulenameG%*GymVektorG M7R0 I':-1999t+6$%"AG%"BG6)%#p1G%#p2G%#p3G%"vG%"mG%"nG%&koordG6"F/C*>8)-&%.LinearAlg ebraG6#%*DimensionG6#9$>8',&9%"""F9!"">8(,&F9#F>""#F=FC>8*-%$seqG6$&FA6#%"iG/FL ;F>F2>8$-_%&plotsG%&arrowG6(F9F=/%+differenceG%%trueG/%(scalingG%,constrainedG/ %&shapeGFT/%&colorG7$Q+DarkOrchidF/%&blackG@$/F2FDC$-&FS6#%)textplotG6#7&FF-%(t ypesetG6#F;/%%fontG7%%&TIMESG%%BOLDG""*/%%axesG%'normalG>8%-_FS%*pointplotG6',& F9F>F;F>F_p/FinF\o/%+symbolsizeG""&/%'symbolG%,solidcircleG@$/F2""$C$>8&-&FS6#% +textplot3dGFdo>Fcp-_FS%,pointplot3dG6(Fhp/F`p%&boxedGFipFjpF]q/%'labelsG7%%"xG %"yG%"zGO-_FS%(displayG6$FPFcp6#QbpViser~vektoren~mellem~punkterne/vektorerne~A ~og~B.~Fx~VisVektorMellem(<1,2,3>,<-1,4,0>)F/F/6$%6_thismoduledefinitionGb6#%+t hismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%La enG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVek torMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(Forklar GF/F/F/F/F/6#FD6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1997t+6$%"aG%"bG6"F'F'O,$*&-%'arccosG6#*(-T%6$9$9%"""-T'6#F2!""-F66#F3F8F4% #PiGF8"$!=6#Q^pBeregner~den~vinklen~mellem~vektorerne~a~og~b~i~grader.~Fx~Vinke l(~[-1,2]~,~[2,1]~)F'F'6(%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(pa ckageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG% 3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektor G%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'FWc%Prik':-20 02FJc'L|ayngde':-19896#""#6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1998t+6*%"aG>%"bG%%NULLG>%"cGF(>%"dGF(>%"eGF(>%"fGF(>%"gGF(>%"hGF(6$%"PG%"i G6"F8C+@&-%%typeG6$9$%'VectorG>&8$6#"""-T%6#F>-F<6$F>%%listG>FA-T'6$&F>FC&F>6#" "#@'-F<6$9%F?>&FBFQ-FF6#FV-F<6$FVFJ>FX-FM6$&FVFC&FVFQ>FXF(@'-F<6$9&F?>&FB6#""$- FF6#F`o-F<6$F`oFJ>Fbo-FM6$&F`oFC&F`oFQ>FboF(@'-F<6$9'F?>&FB6#""%-FF6#Fbp-F<6$Fb pFJ>Fdp-FM6$&FbpFC&FbpFQ>FdpF(@'-F<6$9(F?>&FB6#""&-FF6#Fdq-F<6$FdqFJ>Ffq-FM6$&F dqFCF_q>FfqF(@'-F<6$9)F?>&FB6#""'-FF6#Fer-F<6$FerFJ>Fgr-FM6$&FerFCF_q>FgrF(@'-F <6$9*F?>&FB6#""(-FF6#Ffs-F<6$FfsFJ>Fhs-FM6$&FfsFCF_q>FhsF(@'-F<6$9+F?>&FB6#"")- FF6#Fgt-F<6$FgtFJ>Fit-FM6$&FgtFCF_q>FitF(O-_%&plotsG%(displayG6#-%$seqG6$&FB6#8 %/F`v;FDF[u6#QhvViser~op~til~otte~vektorer~i~samme~koordinatsystem.~~Fx:~~VisVe ktor(<1,2,3>,~viser~stedvektoren~og~VisVektor(a,b,c,[a,b],~[a,c]),~viser~vektor ene~a,b,c~og~vektorene~mellem~a~og~b~og~a~og~c~F8F86(%6_thismoduledefinitionGb6 #%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG %%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0Vi sVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(For klarGF8F8F8F8F8F[wc$vis':-2006Fjwc0VisVektorMellem':-19996#F[u6$%*protectedG/%+ modulenameG%*GymVektorG M7R0 I':-1992t+6#%"xG6"F&F&O-&%&evalfG6#"#56#-T%6#9$6#Q`oBeregner~den~approksimerede ~(afrundede)~l|ayngde~af~~en~vektor~x.~(mac)F&F&6&%6_thismoduledefinitionGb6#%+ thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%L aenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVe ktorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(Forkla rGF&F&F&F&F&F?c'L|ayngde':-19896#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-2000t+6#%"xG6"F&F&O-T%6#9$6#QPBeregner~tv|ayr-/hat-vektoren~af~en~vektor~a~ (2d)F&F&6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,Deter minantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramA realG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG %%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&F@c$Hat':-19966#"""6$%*prote ctedG/%+modulenameG%*GymVektorG M7R0 I':-1993t+6$%"aG%"bG6"F'F'O*(-_%,TypesettingG%0delayDotProductG6$9$9%"""F0F1-T% 6#F0!"#6#QapBeregner~den~eksakte~projektion~af~vektor~a~p|`y~vektor~b.~Fx~Proje ktion([20,4]~,[2,-3])F'F'6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%( packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%Proj G%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvekt orG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'FCc'L|ayngd e':-19896#""#6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-2002t+6$%"aG%"bG6"F'F'O-%$addG6$*&&9$6#%"iG"""&9%F/F1/F0;F1-&%.LinearAlgebr aG6#%*DimensionG6#F.6#Q`qBeregner~prikproduktet~mellem~vektorerne~a~og~b~(man~k an~ogs|`y~bruge~notationen:~a.b~eller~a·b)F'F'6$%6_thismoduledefinitionG b6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|ay nG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0 VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(F orklarGF'F'F'F'F'6#""#6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-2001t+6#%"xG6"F&F&O-T%6#9$6#QQBeregner~tv|ayr-/hat-vektoren~af~en~vektor~a~ (2d).F&F&6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,Dete rminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3Parallelogram ArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,Tvaervektor G%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&F@c$Hat':-19966#"""6$%*prot ectedG/%+modulenameG%*GymVektorG M7R0 I':-1994t+6$%"aG%"bG6"F'F'O-%&evalfG6#-T%6$9$9%6#Q`qBeregner~den~approksimerede /afrundede~projektion~af~vektor~a~p|`y~vektor~b.~Fx.~Proj(~[20,4]~,~[2,-3]~)F'F '6&%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG %'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$ HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG %&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'FBc+Projektion':-19936#""#6$%*prote ctedG/%+modulenameG%*GymVektorG M7R0 I':-1990t+6#%"xG6"F&F&O-T%6#9$F&F&6&%6_thismoduledefinitionGb6#%+thismoduleG6#% $visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+Projekti onG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+T v|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F&F&F&F&F7 c'L|ayngde':-19896#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-1989t+6#'%"xG%'VectorG6"F(F(O-%%normG6$9$""#6#Q[oBeregner~den~eksakte~l|ayn gde~af~en~vektor~x.~Fx~L|ayngde(~[3,~-4]~)F(F(6$%6_thismoduledefinitionGb6#%+th ismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%Lae nG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVekt orMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarG F(F(F(F(F(6#"""6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-2003t+6$%"aG%"bG6"F'F'C$@$3/-&%.LinearAlgebraG6#%*DimensionG6#9$-F-6#9%2""# F,O-_F.%-CrossProductG6$F2F5O-%'lprintG6#Q'Fejl..F'6#QaqBeregner~kryds-/vektor- produktet~mellem~vektorerne~a~og~b~(Man~kan~ogs|`y~bruge~notationen~:~a×b )~F'F'6$%6_thismoduledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,Determi nantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramAre alG%$HatG%'VinkelG%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%% PrikG%&KrydsG%.VektorVersionG%(ForklarGF'F'F'F'F'6#F76$%*protectedG/%+modulenam eG%*GymVektorG M7R0 I':-2006t+6#>%"aG%%NULLG6'%"nG%#p1G%#p2G%#p3G%&koordG6"F.C)@$/9$F'OF'>8$-&%.Lin earAlgebraG6#%*DimensionG6#F2>8(-%$seqG6$,$&F26#%"iG#"""""#/FD;FFF5>8%-_%&plots G%&arrowG6&F2/%(scalingG%,constrainedG/%&shapeGFO/%&colorG7$%$redG%%blueG@$/F5" "$C$>8'-&FN6#%+textplot3dG6#7&F=-%(typesetGF;/%%fontG7%%&TIMESG%%BOLDG""*/%%axe sG%'normalG>8&-_FN%,pointplot3dG6(F2/Fjo%&boxedG/FW%&blackG/%+symbolsizeG"#5/%' symbolG%,solidcircleG/%'labelsG7%%"xG%"yG%"zG@$/F5FGC$>Fjn-&FN6#%)textplotGF_o> F]p-_FN%*pointplotG6'F2FioFdp/Fgp""&FipO-_FN%(displayG6%FKF]pFjnF.F.6$%6_thismo duledefinitionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG% (LaengdeG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'Vinkel G%*VisVektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.Ve ktorVersionG%(ForklarGF.F.F.F.F.6#FF/%+modulenameG%*GymVektorG M7R0 I':-1991t+6#%"xG6"F&F&O-&%&evalfG6#"#56#-T%6#9$6#Q[pBeregner~den~approksimerede ~(afrundede)~l|ayngde~af~~en~vektor~x.~Fx~L|ayn(~[3,-4])~F&F&6&%6_thismoduledef initionGb6#%+thismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(Laengd eG%$L|aynG%%LaenG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisV ektorG%0VisVektorMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVer sionG%(ForklarGF&F&F&F&F&F?c'L|ayngde':-19896#"""6$%*protectedG/%+modulenameG%* GymVektorG M7R0 I':-2004t+6"F$F$F$O-%'lprintG6#QatGymVektor.mla~version~2012.03.08~E~af~Loo~Fan g~Yenn.~Distribueres~under~GNU-licens.~Tak~til~Steen~Toft~J|czrgensen~for~test~ og~forslag~til~forbedringer.F$6#Q_pFort|ayller~hvilken~version~af~GymVektor-pak ke~du~har~installeret.~Fx~VektorVersion()~F$F$6$%6_thismoduledefinitionGb6#%+th ismoduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%Lae nG%+ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVekt orMellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarG F$F$F$F$F$6#""!6$%*protectedG/%+modulenameG%*GymVektorG M7R0 I':-2005t+6#%"aG6"F&F&O-%)DescribeG6#9$F&F&6$%6_thismoduledefinitionGb6#%+thism oduleG6#%$visG6#%(packageG64%,DeterminantG%'L|ayngdeG%(LaengdeG%$L|aynG%%LaenG% +ProjektionG%%ProjG%3ParallelogramArealG%$HatG%'VinkelG%*VisVektorG%0VisVektorM ellemG%+Tv|ayrvektorG%,TvaervektorG%%PrikG%&KrydsG%.VektorVersionG%(ForklarGF&F &F&F&F&6#"""6$%*protectedG/%+modulenameG%*GymVektorG