{VERSION 4 0 "IBM INTEL NT" "4.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 " Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 } } {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 22 "Lecture #2 - Math 541" }} {PARA 0 "" 0 "" {TEXT -1 34 "Basic Commands and Taylor's Series" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 45 "E ntering a function and elemenary operations:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "f := x -> exp(-0. 1*x)*sin(2*x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGR6#%\"xG6\"6$% )operatorG%&arrowGF(*&-%$expG6#,$9$$!\"\"F3\"\"\"-%$sinG6#,$F1\"\"#F4F (F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "f(3); evalf(f(3)); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$-%$sinG6#\"\"'$\"+2A=3u!#5" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#$!+A4'*p?!#5" }}}{EXCHG {PARA 0 "" 0 " " {TEXT -1 32 "Differentiating and integrating:" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 19 "df := diff(f(x),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#dfG,&*&-%$expG6#,$%\"xG$!\"\"F-\"\"\"-%$sinG6#,$F+\" \"#F.F,*(F3F.F'F.-%$cosGF1F.F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "subs(x=3,df); evalf(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&* &-%$expG6#$!\"$!\"\"\"\"\"-%$sinG6#\"\"'F+$F*F**(\"\"#F+F%F+-%$cosGF.F +F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+&*GKV9!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "int(f(x),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*&-%$expG6#,$%\"xG$!+++++5!#5\"\"\"-%$cosG6#,$F)$\"\" #\"\"!F-$!+s6`()\\F,*($\"+'elP\\#!#6F-F%F--%$sinGF0F-!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "Int(f(x),x=0..2*Pi); int(f(x),x=0.. 2*Pi);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$IntG6$*&-%$expG6#,$%\"xG$ !\"\"F-\"\"\"-%$sinG6#,$F+\"\"#F./F+;\"\"!,$%#PiGF3" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#$\"+)oUnK#!#5" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 8 " Graphics" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "plot(f(x),x=0.. 2*Pi);" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6%-%'CUR VESG6$7aq7$$\"\"!F)F(7$$\"3;`#Gi#zxZo!#>$\"3'p\")*H&*4'fN\"!#=7$$\"3i] cC&eb&p8F0$\"3/O[R$H%>oEF07$$\"3q5)>63x`'>F0$\"3U#)=$G#ewbPF07$$\"3YqR *pd)>hDF0$\"3s17w=*otx%F07$$\"3Y@%HT;i7B$F0$\"3,)e!zX=^IeF07$$\"3Zs[E^ dK,RF0$\"3]ZWnex^lnF07$$\"3+9+\"[&4$ed%F0$\"3sD.<;H5svF07$$\"3ab^NehL] _F0$\"3AX:G'[s3B)F07$$\"3Ls#3kbN;#fF0$\"3MwCKE:*)H()F07$$\"35*QhW&\\$H f'F0$\"3cDT!pF0$\"3=fTC]+)\\;*F07$$\"3]:5wGaJ :sF0$\"3\\V(\\\\*p3G#*F07$$\"3c@fLZ0\"4P(F0$\"3-ej$oN(4Y#*F07$$\"3fF3 \"fm0l_(F0$\"3!4a5+>!4b#*F07$$\"3uMd[%y+@o(F0$\"3E\\^U'z%3b#*F07$$\"3z S11.fpPyF0$\"3];qQR\"4hC*F07$$\"3'QF(yo`\"*f\")F0$\"3'zY'z1j;*>*F07$$ \"3#e!R^M[8#[)F0$\"3)>i[zhhV6*F07$$\"3yP0C+VN/))F0$\"3!Hg.K5!H#**)F07$ $\"3upr'fwtl7*F0$\"3RCZuuvpL))F07$$\"3!Rbb2V`Iz*F0$\"3Ed&QCsuPR)F07$$ \"3!QRa&4L&f/\"!#<$\"3X!4#eCvP6yF07$$\"3_y%f^`(Q76Fbr$\"3qywQe8;,rF07$ $\"3YjXwg<#)y6Fbr$\"3qWOh!3dcF'F07$$\"3!or.w_drC\"Fbr$\"3=#G-OQ=JK&F07 $$\"36qGW%H$\\:8Fbr$\"3sH`:3Cm%G%F07$$\"3SH22vMov8Fbr$\"3:(*Q'oLl]J$F0 7$$\"3$*)e)pbO(eV\"Fbr$\"3nFbr$!3cVm:!\\@fu&F07$$\"3#=uye<)G*4#Fbr$!3CU8:3Ppf qF07$$\"3!zz^8\\l#f@Fbr$!3Ar6t\\;*4W(F07$$\"3Ua[#o!GC>AFbr$!3tVf]Ib<6x F07$$\"3W_![\\uETD#Fbr$!3%za5+#p8;yF07$$\"3W]72$o5!*G#Fbr$!3wUbDchP#)y F07$$\"3A\\G8_EX1BFbr$!3x5w$[3^4!zF07$$\"3,[W>@Y*QK#Fbr$!3%)yS'=[S)4zF 07$$\"3zYgD!fO8M#Fbr$!3L?)f4Dn!4zF07$$\"3-YwJf&y(eBFbr$!3GOC+#)fm)*yF0 7$$\"3w=DTbnl*Q#Fbr$!39FOsX8zcyF07$$\"31\"R2:&\\`?CFbr$!3Qy?$32P_y(F07 $$\"3OjAgZJT^CFbr$!3/iM+L&eWo(F07$$\"3oNrpV8H#[#Fbr$!3m8??g'>]b(F07$$ \"3C24z$*y/]DFbr$!3'pZ`!fd(R<(F07$$\"3EzY)QW/yh#Fbr$!3sJZyA=3nmF07$$\" 35v)>8'\\%ou#Fbr$!3_(p$GH([YR&F07$$\"3Vz?n#3lT\"GFbr$!3%=u4ydUlf%F07$$ \"3w$GCS?&[\")GFbr$!3-<;PP6EEPF07$$\"3*Q3$\\!41L%HFbr$!3)HW[!)=^x(GF07 $$\"3Z%)='p(p70IFbr$!3)**fP(fA*e*>F07$$\"3g`,ta\"4=2$Fbr$!33=F(eJ5K-\" F07$$\"3sA%)\\K8\\QJFbr$!3'fc))=t-=`%F]u7$$\"3#*3]^u`v2KFbr$\"311(H$oY Nt&*F-7$$\"3c&fJlT>qF$Fbr$\"3z'4F07$$\"3e!=@(oRJPLFbr$\"3PUR?0* QEt#F07$$\"39l2\"4_3wR$Fbr$\"3+')=_v'[\")[$F07$$\"3MOnGd![y_$Fbr$\"3%e S'4@:f/\\F07$$\"3#*=4JU#)RiOFbr$\"33r&*eo/,&)fF07$$\"36m\\Q&z8#GPFbr$ \"3'HCg:m,2N'F07$$\"3%G,f%[$HSz$Fbr$\"3pbf'=0!=-mF07$$\"3%p#\\M9$pe#QF br$\"3M,wz&zC>o'F07$$\"3eS3B!G4x&QFbr$\"3fC+hy\\4MnF07$$\"3Aan6Y#\\&*) QFbr$\"3I%e8lHa'enF07$$\"3KoE+7#*Q@RFbr$\"3ghwHF&ycv'F07$$\"3o+Mbl?ucR Fbr$\"3BC#*H-bM?nF07$$\"31LT5>\\4#*RFbr$\"3'>uyqT'F07$$\"3ZG'*z[ GLETFbr$\"3-m6eO^$**4'F07$$\"3;fORr]')*=%Fbr$\"3-E!\\Gdz))o&F07$$\"3R& p%*z[LbK%Fbr$\"3)Qy)p#QIT`%F07$$\"3M'pExBp%[WFbr$\"3axoo!G@\"GKF07$$\" 3oh/x$[qGe%Fbr$\"3fiWT?S!)>;F07$$\"3e;O;#eJ$4ZFbr$\"3ge,W2K<=QF]u7$$\" 3&)oO4o)>:%[Fbr$!3u$ePo#p#Qd\"F07$$\"3Ou\"4%z!e2(\\Fbr$!377-<*)3K0IF07 $$\"3*zX#[4&eg5&Fbr$!3%4cax`,=D%F07$$\"3n*e![/*ojB&Fbr$!3pw`x?SEK^F07$ $\"3Dtq\\/&**HI&Fbr$!3E*HwnlxLW&F07$$\"3#ob8X5I'p`Fbr$!3a()H,*G]Ul&F07 $$\"3@)>J,idF07$ $\"3)4[C?S[(oaFbr$!31,gec*)zxdF07$$\"3PA\"GX$yy,bFbr$!3K!\\1:0#GodF07$ $\"31]ilTw9KbFbr$!3Zt2%R$fSPdF07$$\"3wxVy[u]ibFbr$!3g'\\!GF:e&o&F07$$ \"3W0D\"fDnGf&Fbr$!3*\\6vI-GV?bF07$$\" 3WaK=$f=Gp&Fbr$!3(=@vtK=UB&F07$$\"3mweKB,TidFbr$!3%yhWn*o<^[F07$$\"3'o Ie;6(*o)eFbr$!3m2YcOq*G&RF07$$\"3nKcu0ii>gFbr$!3OZKkFaNbFF07$$\"3w)*zj %)[mYhFbr$!3'pY$3'G$Qe9F07$$\"3)****>YH&=$G'Fbr$!3*zw`v'z2S8!#D-%'COLO URG6&%$RGBG$\"#5!\"\"F(F(-%+AXESLABELSG6$Q\"x6\"Q!6\"-%%VIEWG6$;F($\"+ 3`=$G'!\"*%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 " plot(\{1/(x+1),f(x)\},x=0..10);" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6&-%'CURVESG6$7hr7$$\"\"!F)F(7$$\"3WmmmT&)G\\a!#>$\"3 e+%yRP!z\"3\"!#=7$$\"3GLLL3x&)*3\"F0$\"3%*=9d:f0R@F07$$\"3$*****\\ilyM ;F0$\"3YZ?_YPbfJF07$$\"3emmm;arz@F0$\"3q:l%**p3;8%F07$$\"3v***\\7y%*z7 $F0$\"3mQ&4^5%\\vcF07$$\"3[LL$e9ui2%F0$\"3#[#>4kuD))pF07$$\"3z***\\(oM rU^F0$\"3FTytv`6O\")F07$$\"3nmmm\"z_\"4iF0$\"35PoaD6-%*))F07$$\"3/nm;z p!fu'F0$\"3r_`k060>\"*F07$$\"3Unmmm6m#G(F0$\"3YJ$4')3!*pB*F07$$\"3/nmT g#Q5b(F0$\"3SakH^iob#*F07$$\"3ynm;a`T>yF0$\"3qwKt(fFwC*F07$$\"3_om\"zW #z(3)F0$\"3`CiGe0)H@*F07$$\"39ommT&phN)F0$\"3!eQAAC()>:*F07$$\"3A,+v=d dC%*F0$\"3)=>xs$**Gb')F07$$\"3KLLe*=)H\\5!#<$\"3+(Re\\l.'yxF07$$\"3-++ v=JN[6Fdp$\"3M>1R0senmF07$$\"3smm\"z/3uC\"Fdp$\"3;5$)zdhX>`F07$$\"31++ vo3p)H\"Fdp$\"3g6=!fDuoa%F07$$\"3ULLe*ot*\\8Fdp$\"3Nrrb!\\6Xt$F07$$\"3 xmmT5lD,9Fdp$\"3+Y&zUq*G\"*GF07$$\"3!****\\7LRDX\"Fdp$\"3T,sl\">jj-#F0 7$$\"3!om;z4wb]\"Fdp$\"3-EV)fF1*=6F07$$\"3[LLekGhe:Fdp$\"3-T:z!\\<[3#F -7$$\"3;++DJ'\\;h\"Fdp$!33eZ(\\6On%pF-7$$\"3%om;zR'ok;Fdp$!35KVkBD^!e \"F07$$\"3OLL3_(>/x\"Fdp$!390D!*y)=lD$F07$$\"33++D1J:w=Fdp$!3/H)*H(RPN v%F07$$\"3+n;HdG\"\\)>Fdp$!3H8ve`e+TgF07$$\"3oLLL3En$4#Fdp$!332AXx6W=q F07$$\"3_++Dc#o%*=#Fdp$!3C(=P)H[8\"f(F07$$\"3#pmmT!RE&G#Fdp$!3ug\"*QT4 7xyF07$$\"3ZL3x1ZA7BFdp$!3aTIC@U'\\!zF07$$\"3Z+]P4b=RBFdp$!3y*QD_!Ro4z F07$$\"3-n\"z>JYhO#Fdp$!3O2yHF1R\"*yF07$$\"3eLLe9r5$R#Fdp$!3_lH238E]yF 07$$\"3qm;z>(GqW#Fdp$!3/$HW@DG0q(F07$$\"3D+++D.&4]#Fdp$!3aP36[\")=juF0 7$$\"3?+++]jB4EFdp$!364M7qQxPnF07$$\"3;+++vB_+]7.%Q%GKFdp$\"3%yx2$*>j8D\"F07$$\"3_LLL347TLFdp$\"33pL6*34>y#F07$ $\"3#QLL3xxlV$Fdp$\"3!**Rs+')y`%RF07$$\"3nLLLLY.KNFdp$\"3$o,(fwy[W\\F0 7$$\"3mm;HdO2VOFdp$\"37Wn*Hh-m&eF07$$\"33++D\"o7Tv$Fdp$\"3+NZ7(>#\\jkF 07$$\"39L3xcoD.QFdp$\"3-e^Y&)=7GmF07$$\"3km;HK5S_QFdp$\"3/)QF*QcJFnF07 $$\"3Q$3_+7tp(QFdp$\"3S&*)zKh]Av'F07$$\"39+D\"y?X:!RFdp$\"3Y!>9iFe2w'F 07$$\"3*o\"Hd&HT^eF07$$\"33++]iB0pUFdp$\"3)y?\"\\9\"**o0&F07$$\"3S++vV&R_7!o(GF07$$\"3CML$e9Ege%Fdp$\"39> Gd&*Rp!e\"F07$$\"3'QL3F9Y2aFdp$!3(*> h,TgPGdF07$$\"3X$3-8DsLV&Fdp$!3'3O3rON*fdF07$$\"3wmT&Qe#GfaFdp$!350&> \"f)oex&F07$$\"31]iS;H>&[&Fdp$!3wE@z2X@wdF07$$\"3PL$e*[K56bFdp$!3-cx_` >0hdF07$$\"3)**\\iS\"R#Hc&Fdp$!3Ae'GKOEZo&F07$$\"3Znm;zXu9cFdp$!3+?=D0 KM[bF07$$\"3yLLe9i\"=s&Fdp$!3#=]Oq#o\"f3&F07$$\"34+++]y))GeFdp$!3gz]^R &[GS%F07$$\"3k++DcljLfFdp$!37#fb1yn_b$F07$$\"3H++]i_QQgFdp$!3M)*[X7]-r DF07$$\"3U+](=-N(RhFdp$!3iP8FT9[J:F07$$\"3b++D\"y%3TiFdp$!3TE'o!G*[c]% F-7$$\"3G+]P4kh`jFdp$\"3-8K*[;OuV(F-7$$\"3+++]P![hY'Fdp$\"31tp[s]Gu=F0 7$$\"3KmmT5FEnlFdp$\"33oX\"4$4=!z#F07$$\"3iKLL$Qx$omFdp$\"3Y1pfZ:)[d$F 07$$\"3cmm;z)Qjx'Fdp$\"3+$*[,,Y;NUF07$$\"3Y+++v.I%)oFdp$\"3Wfaig\"yio% F07$$\"3Ym\"Hd&\\@LpFdp$\"3K#R?UZIq\"[F07$$\"3ML$ek`H@)pFdp$\"3m2(>z6b 0!\\F07$$\"3M;H#o#oe1qFdp$\"3TD^mMQ[C\\F07$$\"3A+v=L] ^O\\F07$$\"3A$3_vS,b0(Fdp$\"3$H0yb)znO\\F07$$\"3?mm\"zpe*zqFdp$\"3wRvF 8-.D\\F07$$\"3&**\\(oa_VLrFdp$\"37RIRvA()e[F07$$\"3oL$e9\"=\"p=(Fdp$\" 3M,Nug&[!QZF07$$\"3Vn\"H#o$)QSsFdp$\"3c2Sivu^kXF07$$\"3;,++D\\'QH(Fdp$ \"3yc![BA<3M%F07$$\"3gm;zp%*\\%R(Fdp$\"31ZUPLt,&z$F07$$\"3%HL$e9S8&\\( Fdp$\"3!\\9I]_J!3JF07$$\"3%om;/6E.g(Fdp$\"3!=eHWq$)>F#F07$$\"3s++D1#=b q(Fdp$\"3Mrxz^)\\RN\"F07$$\"3#om\"H2FO3yFdp$\"3CJ!45`1J<%F-7$$\"3\"HLL $3s?6zFdp$!3!*R7lOx;x^F-7$$\"3yl;zpe()=!)Fdp$!3mx3j,fP_9F07$$\"3a***\\ 7`Wl7)Fdp$!3LU9W$H)e+BF07$$\"3cL$e*[ACI#)Fdp$!3$R-k5By6+$F07$$\"3enmmm *RRL)Fdp$!3CL&)f,#o(fNF07$$\"3wnmTge)*R%)Fdp$!3/65QtgZiRF07$$\"3%zmmTv Jga)Fdp$!3Eb(yVV)e!=%F07$$\"3E^(=#*pBBd)Fdp$!3]W6#>;X_?%F07$$\"3eM3FWc h)f)Fdp$!3,'*z>2!\\\"=UF07$$\"3!z\"HK*e2\\i)Fdp$!3w!fv@%fK>UF07$$\"3A, ]PM&*>^')Fdp$!3@%oTl@M)3UF07$$\"3'y;zWU$y.()Fdp$!3ww)*[-rB`TF07$$\"3]M Le9tOc()Fdp$!3wBpu9XX_SF07$$\"3oo;H#e0I&))Fdp$!3_]'Hi;;]v$F07$$\"31,++ ]Qk\\*)Fdp$!3k8bT[LVCLF07$$\"3![LL3dg6<*Fdp$!3VNaRE_WT>F07$$\"3%ymmmw( Gp$*Fdp$!3/gUr_mhRVF-7$$\"3C++D\"oK0e*Fdp$\"3WY%)f\\t$e<\"F07$$\"35,+v =5s#y*Fdp$\"3kI#**G'[PnCF07$$\"#5F)$\"3m>!yl)y`eLF0-%'COLOURG6&%$RGBG$ F[bm!\"\"F(F(-F$6$7Y7$F($\"\"\"F)7$F+$\"3!4f8,OJK[*F07$F2$\"3\"=73)[#[ s,*F07$F7$\"3Kc`'p'[\"\\f)F07$F<$\"3ml3tdCP5#)F07$FA$\"3<8'4&[&4th(F07 $FF$\"3qNfWIE:/rF07$FK$\"3$>kF:COQg'F07$FP$\"3sAub+RNphF07$FZ$\"3C6Q$ \\&f9'y&F07$Fho$\"3I4E?j'fxW&F07$Fbp$\"3i3:aN$>(z[F07$F]q$\"3])R=YDq& \\WF07$Far$\"3!>?nrd1u2%F07$Fes$\"3W)>EC#oy_PF07$F_t$\"3cj7\\mj'oZ$F07 $Fit$\"3;:(*[#4/CB$F07$Fcu$\"3cSgn&\\&*Q/$F07$Faw$\"31]^@#Hnj&GF07$F[x $\"3OnyrMO'**o#F07$Fex$\"3Y)z=>vspa#F07$F_y$\"3$\\Et+M(oHCF07$Fiy$\"30 '[`\"=Db.BF07$Fcz$\"353RmqW^1AF07$F][l$\"3f')=uR>W.@F07$F[]l$\"3MUt822 #*>?F07$Fe]l$\"3?BW%p\"ofN>F07$F_^l$\"3)oh>HN%fh=F07$Fi^l$\"3SW5*4Q\"= !z\"F07$Fc_l$\"3te8WlOEHh,%3r)3;F 07$Faal$\"3ij80k.og:F07$F_cl$\"3*p.:1\"G%o0/8F07$F[gl$\"3ANuLcLMo7F07$Fihl$\"3FE1q)3IwB\"F07$F]jl$ \"3aWo!p\\5d?\"F07$Fgjl$\"39J5!oYWr<\"F07$Fa[m$\"3%G.Wfp'p[6F07$F[\\m$ \"3Rkd77C=A6F07$Fe\\m$\"3[<$)*F-7$F[am$\"3`dmp.R'Qk*F-7$F`am$\"3c)>ym)*>8X*F-7$Feam$\"3! R**[&Rp4u#*F-7$Fjam$\"3;\"4444444*F--F_bm6&FabmF(FbbmF(-%+AXESLABELSG6 $Q\"x6\"Q!6\"-%%VIEWG6$;F(Fjam%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 15 "Taylor's series" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "taylor(f(x),x=0,6);" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#+/%\"xG\"\"#\"\"\"$!\"#!\"\"F%$!+LLLB8!\"*\"\"$$\"++++I8!#5\"\"%$\"+ LL3+EF0\"\"&-%\"OG6#F&\"\"'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "taylor(f(x),x=Pi,4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#++,&%\"xG \"\"\"%#PiG!\"\"$\"+#Q03Y\"!\"*F&$!+#Q03Y\"!#5\"\"#$!+xAml'*F.\"\"$-% \"OG6#F&\"\"%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" } }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 17 "Example 3 in Text" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "f:=x->cos(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG%$cosG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "s3:=taylor(f(x),x=0,4); p3:=convert(s3,polynom);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#s3G+)%\"xG\"\"\"\"\"!#!\"\"\"\"#F+-%\"OG6#F'\"\"% " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#p3G,&\"\"\"F&*&#F&\"\"#F&*$)%\" xGF)F&F&!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "Digits:=11 :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "y1:=f(0.01);\ny2:=subs (x=0.01,p3);\nerr:=abs(y1-y2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y 1G$\",U++&****!#6" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#y2G$\",+++&*** *!#6" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$errG$\"#U!#6" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "plot(\{f(x),p3\},x=-Pi..Pi);" }} {PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6&-%'CURVESG6$7en7 $$!3>+?'Hl#fTJ!#<$!\"\"\"\"!7$$!3w(4tN([6tIF*$!3Qv!G(GJcw**!#=7$$!3y&> %=%4PY+$F*$!3W:k:tBO1**F37$$!3w3m[W\\0XHF*$!3;I?D/zF37$$!3E(p171ByN#F* $!3ub!fd;uD3(F37$$!37Bxnu_$*GAF*$!3BguPVdX;hF37$$!3mtNZT$Rc4#F*$!3]qGT `:x5]F37$$!35Ax,!*3xi>F*$!30%4C>kR,#QF37$$!3Q,n3c$*4E=F*$!3:,lrtiQDDF3 7$$!3\\\"R3Y**=dq\"F*$!37)G%Q?o8X8F37$$!3%[)[f>#*>q:F*$\"3KW(*HX;2rf!# @7$$!3,,ZO()H7M9F*$\"3'GE<2O#[i8F37$$!3@S#)HB$))HI\"F*$\"3)f2R9:#=YEF3 7$$!3]h0S&[0R=\"F*$\"3M1TzJ*3Jx$F37$$!3HW:?tWIU5F*$\"3?X+'RF:B/&F37$$! 3)zFO.U)\\B#*F3$\"3'**[*Rw%*[RgF37$$!3Uh#GG*39GyF3$\"3%RpElM;$*3(F37$$ !3[Q&\\n/8If'F3$\"3h'3M^?/U!zF37$$!32y$oB/#)yB&F3$\"3#R]y#RnIf')F37$$! 3e\"QIc'oZZRF3$\"3m.%)esi$4B*F37$$!328n4OW2,EF3$\"3K$HS*3Nij'*F37$$!3% Rgl-dlG)>F3$\"3o'R;cZbS!)*F37$$!3#[\\MWqcYO\"F3$\"3#3dC\">+.2**F37$$!3 ew!)=b#\\$yp!#>$\"3kT@?+7mv**F37$$!3%*[?JgYJ,J!#?$\"33MaF4>&*****F37$$ \"3u#zM%[FF;mF_t$\"3yObp]/7y**F37$$\"3/z+H'pnUN\"F3$\"3:*=;\">!Q%3**F3 7$$\"3s53I>K@d>F3$\"3)>g&)GYw!4)*F37$$\"3SU:JU(e,c#F3$\"35[l2oa1u'*F37 $$\"3ol%z%3TbiQF3$\"37(4&R9AEj#*F37$$\"3n.#47'f03_F3$\"3e$*[3Mh=u')F37 $$\"3%[3C^-nV_'F3$\"3m@!GRxng%zF37$$\"3A+c\"Hmlzz(F3$\"3bB$4/%fc5rF37$ $\"3\")y'fv!)z?@*F3$\"3i=9>Mke[gF37$$\"3)*z*yhUs#[5F*$\"3#4$e*HU)o!*\\ F37$$\"35v3.V3%R=\"F*$\"3CH.9([\"ysPF37$$\"3*>>!*HfwoI\"F*$\"3)4'[F(el '3EF37$$\"3@tCGRyFT9F*$\"3U5+w\"ym:H\"F37$$\"3Si%4z$*Qxc\"F*$\"3')RZ@A TQdIFet7$$\"3eRR3Cs#**p\"F*$!3'4\"QRYKs(G\"F37$$\"3$[TQcVl\"H=F*$!3;Cm HQ8/bDF37$$\"3+x='f'eYk>F*$!3$*>>8y$)zNQF37$$\"3#3'4?hix%4#F*$!3l%**=) o0I.]F37$$\"3@O.[hu.GAF*$!3%G:PDR]$4hF37$$\"3%)p#R<>&>gBF*$!3OgH-!Q+$* 4(F37$$\"3)*GjZ?Wj\"[#F*$!3(>(G!zQy,!zF37$$\"33J*=5[<3i#F*$!3S)\\$H6vL u')F37$$\"3=X:epWIXFF*$!3:'zm#\\4+D#*F37$$\"35&H9RcL!yGF*$!3)*)fgk'))o a'*F37$$\"3_HzZ.HbTHF*$!36J$)Q*z'e+)*F37$$\"3&RcTICs]+$F*$!3jlSZMb&p!* *F37$$\"3#=ye\"[CLtIF*$!3K(e?kw6n(**F37$$\"38+gF`EfTJF*F+-%'COLOURG6&% $RGBG$\"#5F,$F-F-Fh]l-F$6$7S7$F($!3a4Cd)>-[$RF*7$F5$!3uBQ(Q.AR^$F*7$F? $!3E%yLZiwH;$F*7$FD$!3)pXwzFm_y#F*7$FI$!3^IR%[f!>BCF*7$FN$!3woen]X!43# F*7$FS$!3kg!zRzk'z\"F*7$F\\o$ !3%[![]LyMi#*F37$Fao$!3gF8]\"H%>tmF37$Ffo$!3g4$RGW'QZXF37$F[p$!39F>3Yz iFBF37$Fap$!3A;FRWrVNGF_t7$Ffp$\"3D.AuYr56:F37$F[q$\"31/B>3!R=*HF37$F` q$\"3-c-sDp+oXF37$Feq$\"3e4F]WQNYdF37$Fjq$\"3x(\\,\"30,OpF37$F_r$\"3\" y^p#[*3m#yF37$Fdr$\"3-V<^&eH#G')F37$Fir$\"3nYcw>8(3A*F37$F^s$\"3;3U*)) e?&*****F37$F^u$\"3kd#R.&z H3**F37$Fhu$\"33*G32OzAn*F37$F]v$\"3e>M&zyLSD*F37$Fbv$\"3IjcCbw!Qk)F37 $Fgv$\"35vO2Y\"F*7$Fcz$!3?q)z[Yv?[\"F*7$Fhz$!3Y%ea :ng_y\"F*7$F][l$!3iUkW)pa#z?F*7$Fb[l$!3f2sSM@MMCF*7$Fg[l$!3Q/AN:$[$oFF *7$F\\\\l$!3U4'3vfQ:9$F*7$Ff\\l$!3%zU\\HfH_^$F*7$F`]l$!3Mp)e&*>-[$RF*- Fc]l6&Fe]lFh]lFf]lFh]l-%+AXESLABELSG6$Q\"x6\"Q!6\"-%%VIEWG6$;$!,Ol#fTJ !#5$\",Ol#fTJF^hl%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "q1:=int(f(x),x=0..0.1);\nq2:=int(p3,x=0..0.1);\ner r:=abs(q1-q2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#q1G$\",ZmTL)**!#7 " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#q2G$\",LLLL)**!#7" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%$errG$\"&9L)!#7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 23 "Examp le for MatLab code" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "f:=x- >cos(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG%$cosG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 195 "s2:=taylor(f(x),x=0,3); p2:=conver t(s2,polynom);\ns4:=taylor(f(x),x=0,5); p4:=convert(s4,polynom);\ns6:= taylor(f(x),x=0,7); p6:=convert(s6,polynom);\ns8:=taylor(f(x),x=0,9); \+ p8:=convert(s8,polynom);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#s2G+)% \"xG\"\"\"\"\"!#!\"\"\"\"#F+-%\"OG6#F'\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#p2G,&\"\"\"F&*&#F&\"\"#F&*$)%\"xGF)F&F&!\"\"" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%#s4G++%\"xG\"\"\"\"\"!#!\"\"\"\"#F+# F'\"#C\"\"%-%\"OG6#F'\"\"&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#p4G,( \"\"\"F&*&#F&\"\"#F&*$)%\"xGF)F&F&!\"\"*&#F&\"#CF&)F,\"\"%F&F&" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%#s6G+-%\"xG\"\"\"\"\"!#!\"\"\"\"#F+# F'\"#C\"\"%#F*\"$?(\"\"'-%\"OG6#F'\"\"(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#p6G,*\"\"\"F&*&#F&\"\"#F&*$)%\"xGF)F&F&!\"\"*&#F&\"#CF&)F,\" \"%F&F&*&#F&\"$?(F&*$)F,\"\"'F&F&F-" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #>%#s8G+/%\"xG\"\"\"\"\"!#!\"\"\"\"#F+#F'\"#C\"\"%#F*\"$?(\"\"'#F'\"&? .%\"\")-%\"OG6#F'\"\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#p8G,,\"\" \"F&*&#F&\"\"#F&*$)%\"xGF)F&F&!\"\"*&#F&\"#CF&)F,\"\"%F&F&*&#F&\"$?(F& *$)F,\"\"'F&F&F-*&#F&\"&?.%F&)F,\"\")F&F&" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 33 "plot(\{f(x),p2,p4,p6,p8\},x=-1..4);" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6)-%'CURVESG6$7S7$$!\"\"\"\"!$ \"30$z]OzDIS&!#=7$$!3Fnmm\"HU,\"*)F-$\"3!3NWagOiG'F-7$$!3)HL$3FH'='zF- $\"3eH>s.XP%*pF-7$$!35mm;/OU&*oF-$\"3@Sk2bCP:xF-7$$!3Plm;H_\">#eF-$\"3 ==l?kjf_$)F-7$$!3SLL3_!4Nv%F-$\"3#oHTf%=K\"*))F-7$$!3YmmTg(fHw$F-$\"3+ (*p>-;K+$*F-7$$!3^++vVLIPFF-$\"3bIj3c>pF'*F-7$$!3#em;/,oln\"F-$\"3!zha t)[yf)*F-7$$!3Y&***\\(oWB>'!#>$\"3?*f2$fN$3)**F-7$$\"3C%ommTIOo%FY$\"3 SNe$z!Q.*)**F-7$$\"3eML$3_>jU\"F-$\"3)e#>\\hHX)*)*F-7$$\"3E,++D;v/DF-$ \"3KbJ^_v%zo*F-7$$\"3y+++v=h(e$F-$\"3#G4(fr]Kj$*F-7$$\"3V+++v$[6j%F-$ \"3qqSKoKlY*)F-7$$\"3EMLe*[z(ybF-$\"3k10evS!Q[)F-7$$\"3knmmTXg0nF-$\"3 DSugO^tMyF-7$$\"3OommmJ&o%F-7$$\"3?+](=xpe=\"F[r$\"3A!HSgmD\\v$F-7$$\"37nm\"H28IH\"F[r $\"3)ziT\"*4\"GUFF-7$$\"3um;zpSS\"R\"F[r$\"3mGP&[-!R%y\"F-7$$\"3GLL3_? `(\\\"F[r$\"39+\\s]=T@tFY7$$\"3fL$e*)>pxg\"F[r$!3MY>;ufK$p$FY7$$\"33+] Pf4t.F[r$!3I3:]yOYnLF-7$$\"3:++DJE>>?F[r$!3cT5aV%)>KVF-7$$\"3F+]i!RU07 #F[r$!3;u7()y\"4)>_F-7$$\"3+++v=S2LAF[r$!3]'*)>;_h49'F-7$$\"3Jmmm\"p)= MBF[r$!3S([Z)pG1,pF-7$$\"3B++](=]@W#F[r$!3wva**oo7KwF-7$$\"35L$e*[$z*R DF[r$!3-tQ00-*[@)F-7$$\"3e++]iC$pk#F[r$!3k-bb$*\\:d()F-7$$\"3[m;H2qcZF F[r$!3!yaZ,ka)p\"*F-7$$\"3O+]7.\"fF&GF[r$!3k43dI\\>$\\*F-7$$\"3Ymm;/Og bHF[r$!3yaPlF>?'p*F-7$$\"3w**\\ilAFjIF[r$!3UzDoc1S#y*F-7$$\"3yLLL$)*pp ;$F[r$!3b=;#[Z$F[r$!3\"ovn$y^G.))F-7$$\"3SnmT&G!e&e$ F[r$!3YJX$\"3eE+ \">N'f_$)F-7$FC$\"3%>%3KW=K\"*))F-7$FH$\"3!zHS?g@.I*F-7$FM$\"3vD)zg&>p F'*F-7$FR$\"3/pXN()[yf)*F-FVFfn7$F\\o$\"3+<>\\hHX)*)*F-7$Fao$\"3ey/^_v %zo*F-7$Ffo$\"3Q[)*\\r]Kj$*F-7$F[p$\"3-&[vqE`m%*)F-7$F`p$\"3eSDbnS!Q[) F-7$Fep$\"3#HEDh3NZ$yF-7$Fjp$\"3:S'f$[Xx1sF-7$F_q$\"3csk^J<<%R'F-7$Fdq $\"3L(4[F=F)3cF-7$Fiq$\"3u[W^72>&o%F-7$F_r$\"3;\"=&\\p1\"\\v$F-7$Fdr$ \"3l-u#RbXAu#F-7$Fir$\"3y))*fG;;Vy\"F-7$F^s$\"3]?x4U\\()>tFY7$Fcs$!3K] &*y7\\W'p$FY7$Fhs$!35^'G2]MaK\"F-7$F]t$!3n`&*R@MvVBF-7$Fbt$!3q*)GDilBp LF-7$Fgt$!3Js6$RK4_L%F-7$F\\u$!3W*R(o_sqC_F-7$Fau$!35O1!)*=Y\"\\hF-7$F fu$!3vEs;XQw8pF-7$F[v$!3G![()fT7?l(F-7$F`v$!3g)Hd\"4gBW#)F-7$Fev$!3(4& z:!z+8!))F-7$Fjv$!3&4BnXl5PB*F-7$F_w$!3%yCPoPQv#)* F-7$Fiw$!3GJn%)e_Mp**F-7$F^x$!3c_J[G,y'***F-7$Fcx$!3LBJ$=\"Rw8**F-7$Fh x$!3/*>!yllU@(*F-7$F]y$!3cqk2(*)4*\\%*F-7$Fby$!3-pgTY)f/.*F-7$Fgy$!3o6 'f8Wf8c)F-7$F\\z$!3i\"[>pkd)ozF-7$Faz$!3r$=9l(3Z=tF-7$Ffz$!3S>hj3iVOlF --F[[l6&F][lF`[lF^[lF`[l-F$6$7S7$F($\"3++++++++]F-7$F/$\"3N`E6<#o/.'F- 7$F4$\"3i,o^OpVIoF-7$F9$\"3ve]&fmcEi(F-7$F>$\"3#H')>K:l_I)F-7$FC$\"35! 4)e%e2-())F-7$FH$\"3AZU2#p1?H*F-7$FM$\"3\"Hv9-_e`i*F-7$FR$\"35vBK&)fXf )*F-7$FW$\"35&fNOVF3)**F-7$Fgn$\"3!y.gI!=.*)**F-7$F\\o$\"3k)[C7j!G)*)* F-7$Fao$\"3;#*H&['4J'o*F-7$Ffo$\"3Y\\zr^?Xc$*F-7$F[p$\"3\\UnVOKiF*)F-7 $F`p$\"3(e@I.(4'QW)F-7$Fep$\"3Kn*QlQVu%o(3'Q:'F-7$Fdq$\"3(\\F)=iO^V_F-7$Fiq$\"3Lf$Gdt*>$FY7$F^s$!3j&f%3N7,87 F-7$Fcs$!3A4cf&)*3Y#HF-7$Fhs$!3E\"Hk'4f\\8XF-7$F]t$!3w5&od'H(HL'F-7$Fb t$!3&*Gq%)4xZD$)F-7$Fgt$!3K\\r/T%p&Q5F[r7$F\\u$!3U&z=_,]$[7F[r7$Fau$!3 uP\"3my4L\\\"F[r7$Ffu$!3crA:C%=Us\"F[r7$F[v$!3AVJ:p([?)>F[r7$F`v$!3/*R nlaZdA#F[r7$Fev$!3oe\"=0tDJ]#F[r7$Fjv$!3;U)y(HAcuFF[r7$F_w$!3!yFJ-D<\" pIF[r7$Fdw$!37%\\\"[KjznLF[r7$Fiw$!3=fOn'[==p$F[r7$F^x$!3=ormP%\\[,%F[ r7$Fcx$!3/$z>eY;jN%F[r7$Fhx$!3N_i>6C11ZF[r7$F]y$!3Pa.B0P>P]F[r7$Fby$!3 xMVe\"*H>GaF[r7$Fgy$!3!f(G\\t-I)y&F[r7$F\\z$!3+:uVm%fI='F[r7$Faz$!3#=j hpIV8d'F[r7$Ffz$!\"(F*-F[[l6&F][lF^[lF^[lF`[l-F$6$7S7$F($\"3Yxxxxxx-aF -7$F/$\"3W'oT\"y!QhG'F-7$F4$\"3%RfEUXMV*pF-7$F9$\"3Th%=&z(f`r(F-7$F>$ \"3k*f]24$f_$)F-7$FC$\"3giKS*>@8*))F-7$FH$\"3\"f>#\\-:K+$*F-7$FM$\"3]? *o#[>pF'*F-7$FR$\"3k!z*>()[yf)*F-7$FW$\"3!fa2$fN$3)**F-7$Fgn$\"3%)He$z !Q.*)**F-7$F\\o$\"3?V%\\9'HX)*)*F-7$Fao$\"3m13n[v%zo*F-7$Ffo$\"3?5A`.] Kj$*F-7$F[p$\"3%[&)HNu_m%*)F-7$F`p$\"3=:%)f[E'3cF-7 $Fiq$\"3a![34zEZo%F-7$F_r$\"3E+5qdc&Rv$F-7$Fdr$\"3*H*fdELMSFF-7$Fir$\" 3Cq%eV!e!4y\"F-7$F^s$\"3W2T%R%*z'esFY7$Fcs$!3r!4if%p0/QFY7$Fhs$!37eZR9 g[U8F-7$F]t$!3Su&)[&3$*4P#F-7$Fbt$!3#o-gk_;AT$F-7$Fgt$!38CRV?87K&F-7$Fau$!3?>P#=\")=VH'F-7$Ffu$!3]qnd)4@'>rF-7$F[v$!3#) )H'eL3$f%zF-7$F`v$!3k\"3))\\GYXk)F-7$Fev$!3WE?F*=rZN*F-7$Fjv$!3e@I$y9b `(**F-7$F_w$!35J1UBB6e5F[r7$Fdw$!3\\OJo(QZS6\"F[r7$Fiw$!3S!GrmTL0<\"F[ r7$F^x$!3Sj@)[;(pC7F[r7$Fcx$!3CapD\\46#G\"F[r7$Fhx$!3k61H\"G5QM\"F[r7$ F]y$!3EYK8Da[29F[r7$Fby$!3=?wBgDi#\\\"F[r7$Fgy$!3[nJc#*o\"Qe\"F[r7$F\\ z$!36^kH'\\k;q\"F[r7$Faz$!3B&e'[I>oR=F[r7$Ffz$!3.BAAAAAA?F[r-F[[l6&F][ lF`[lF`[lF^[l-F$6$7Y7$F($\"3Immmmmm;aF-7$F/$\"3)o'=qEz3$H'F-7$F4$\"3i% 3SnVsy*pF-7$F9$\"3;!>(3)o_or(F-7$F>$\"3E6ZBBR8`$)F-7$FC$\"3%>Y`HV\"[\" *))F-7$FH$\"3CT?9M4O+$*F-7$FM$\"32ZV&3z(pF'*F-7$FR$\"3GPnl&>&yf)*F-7$F W$\"3u614gN$3)**F-7$Fgn$\"3CRC33Q.*)**F-7$F\\o$\"3s*)3RyIX)*)*F-7$Fao$ \"3=]eOy4&zo*F-7$Ffo$\"3C;pu%Gq^S\"FY7$Fhs$!3R*eLV=.G+\"F-7$F]t$!3!zUEu'G(o)=F-7$Fbt$!3 p!py#)[D%GFF-7$Fgt$!39Z$>0!)=%fMF-7$F\\u$!3G!pI1]q$eSF-7$Fau$!3g::Uz$3 @d%F-7$Ffu$!3k/\\qq3Ct[F-7$F[v$!3aS^=AHY**\\F-7$F`v$!3%Q+)p3M1:\\F-7$F ev$!3[=w\"))\\2\"yXF-7$Fjv$!3/!QL.#*)3+SF-7$F_w$!3wyJw30)\\4$F-7$Fdw$! 3w(G]Zl))=)=F-7$Fiw$!3#4Y([-o$eH#FY7$F^x$\"3+ohWF/.mxUdK()F-7$F]y$ \"3\"f\"==nUUP5F[r7$$\"3(RL3_5,-`$F[r$\"3r,L$)Rd1S7F[r7$Fby$\"3MeY#z>^ (e9F[r7$$\"3m+]P%37^j$F[r$\"3;\"oCG8K%o;F[r7$Fgy$\"37mV-F)p=*=F[r7$$\" 3-n\"z>6but$F[r$\"3A_nqn\\vX@F[r7$F\\z$\"3dV>H$3JjT#F[r7$$\"3L+++DM\"3 %QF[r$\"3oKQ0Q;X\"p#F[r7$Faz$\"3#o\"QorK'G)HF[r7$$\"3G+voa-oXRF[r$\"3- ;+vjdv9LF[r7$Ffz$\"31mmmmmmmOF[r-F[[l6&F][lF^[lF`[lF^[l-%+AXESLABELSG6 $Q\"x6\"Q!6\"-%%VIEWG6$;F(Ffz%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve \+ 4" "Curve 5" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "28 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }