{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "Hyperlink" -1 17 "" 0 1 0 128 128 1 2 0 1 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "dt" -1 256 "" 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "dt2" -1 257 "Lucida Calligraphy" 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{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 "Heading 1" -1 3 1 {CSTYLE " " -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 4 1 0 1 0 2 2 0 1 }{PSTYLE "Text Output" -1 6 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 2 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "W arning" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Error" -1 8 1 {CSTYLE " " -1 -1 "Courier" 1 10 255 0 255 1 2 2 2 2 2 1 1 1 3 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 "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "dl" -1 256 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 3 18 3 0 2 2 0 2 }{PSTYLE "date" -1 257 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 "todo" -1 258 1 {CSTYLE "" -1 -1 "Modern No. 20" 1 24 0 255 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 2 }{PSTYLE "commentaar" -1 259 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 1 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "scherp" -1 260 1 {CSTYLE "" -1 -1 "Times" 1 4 0 0 0 1 1 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT 256 3 "wie" }{TEXT -1 16 ": Joris Gillis (" }{URLLINK 17 "Joris.Gillis@student.kuleuven.be" 4 "mailto:J oris.Gillis@student.kuleuven.be" "" }{TEXT -1 3 " - " }{URLLINK 17 "we bsite" 4 "http://users.telenet.be/root-jg/me.html" "" }{TEXT -1 12 " - s0170633)" }}{PARA 0 "" 0 "" {TEXT -1 47 " 1ste jaar burgerlijk ingenieur, reeks A6" }}{PARA 0 "" 0 "" {TEXT 256 6 "versie" }{TEXT -1 5 ": 1.0" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 256 5 "datum" } {TEXT -1 17 ": 10 oktober 2006" }}{PARA 0 "" 0 "" {TEXT -1 0 "" } {TEXT 256 3 "wat" }{TEXT -1 33 ": oefenzitting 2 - ICT werktuigen" }}} {SECT 0 {PARA 3 "" 0 "" {TEXT -1 13 "voorbereiding" }}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 32 "restart:kernelopts(ASSERT=true);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "kernelopts(assertlevel=2):" }} {PARA 259 "" 0 "" {HYPERLNK 17 "assertions" 2 "ASSERT" "" }{TEXT -1 10 " gebruiken" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "with(Unit s):with(Units[Standard]):\nuseSystem(SI):" }}{PARA 7 "" 1 "" {TEXT -1 57 "Warning, the assigned name Unit now has a global binding\n" }} {PARA 7 "" 1 "" {TEXT -1 40 "Warning, the name Unit has been rebound\n " }}{PARA 7 "" 1 "" {TEXT -1 58 "Warning, the assigned name polar now \+ has a global binding\n" }}{PARA 7 "" 1 "" {TEXT -1 522 "Warning, these protected names have been redefined and unprotected: *, +, -, /, <, < =, <>, =, Im, Re, ^, abs, add, arccos, arccosh, arccot, arccoth, arccs c, arccsch, arcsec, arcsech, arcsin, arcsinh, arctan, arctanh, argumen t, ceil, collect, combine, conjugate, convert, cos, cosh, cot, coth, c sc, csch, csgn, diff, eval, evalc, evalr, exp, expand, factor, floor, \+ frac, int, ln, log, log10, max, min, mul, normal, root, round, sec, se ch, seq, shake, signum, simplify, sin, sinh, sqrt, surd, tan, tanh, tr unc, type, verify\n" }}}{EXCHG {PARA 259 "" 0 "" {TEXT -1 151 "Omdat v eel functies in Maple niet overweg kunnen met dimensies, is er een fun ctie nodig die de dimensies van alle variabelen normaliseert en verwij dert" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 342 "unitfree:=proc () local v; for v in (map(c->`if`(whattype(eval(c))='table',map(i->evaln(c[i[]]), [indices(eval(c))])[],c),\{anames(with_unit)\} intersect \{anames(user )\}) union \{dummy\})[] do if(not(v=dummy)) then assign(v=convert(conv ert(eval(v),units,convert(convert(eval(v),dimensions), system, dimensi on, base)),unit_free)) end if od end proc:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 131 "useUnit:=(value,unit)->evalf(convert(convert(value*c onvert(convert(unit,dimensions),system,dimension,base),units,unit),uni t_free)):" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 11 "voorbeelden" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "a::float:=2;" }}{PARA 8 "" 1 "" {TEXT -1 61 "Error, assertion failed in assignment, expected floa t, got 2\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "'a'$'a'=0..10 ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6-\"\"!\"\"\"\"\"#\"\"$\"\"%\"\"&\" \"'\"\"(\"\")\"\"*\"#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "z ip((x,y)->x*y,[$1..10],[$2..11]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7 ,\"\"#\"\"'\"#7\"#?\"#I\"#U\"#c\"#s\"#!*\"$5\"" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 29 "G::with_unit:=10*Unit(m/s^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"GG,$*&\"#5\"\"\"-%%UnitG6#7#*&%\"mGF(%\"sG!\"# F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "G::with_unit:=10;" }}{PARA 8 "" 1 "" {TEXT -1 66 "Error, assertion failed in assignment, \+ expected with_unit, got 10\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "G::with_unit(float):=10.0*Unit(m/s^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"GG,$*&$\"$+\"!\"\"\"\"\"-%%UnitG6#7#*&%\"mGF*%\"sG! \"#F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "G::Range(0,4):=2 .5;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"GG$\"#D!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "G::integer:=2.5;" }}{PARA 8 "" 1 " " {TEXT -1 65 "Error, assertion failed in assignment, expected integer , got 2.5\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "G::And(Range (0,4),integer):=2.2;" }}{PARA 8 "" 1 "" {TEXT -1 81 "Error, assertion \+ failed in assignment, expected And(Range(0,4),integer), got 2.2\n" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "Worksheet[ReadFile](\"C:/map le.mws\");" }}{PARA 8 "" 1 "" {TEXT -1 89 "Error, (in Worksheet:-ReadF ile) c:\\maple.mws (The system cannot find the file specified)\n" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "convert(sin(x),cos);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#,$-%$cosG6#,&%\"xG\"\"\"*&\"\"#!\"\"%# PiGF)F)F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "FunctionAdviso r(relate,sin,cos);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%$sinG6#%\"zG, $-%$cosG6#,&F'\"\"\"*&\"\"#!\"\"%#PiGF-F-F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "FunctionAdvisor(display,sin);" }}{PARA 6 "" 1 "" {TEXT -1 218 "sin belongs to the subclass \"trig\" of the class \"elem entary\" and so, in principle, it can be related to various of the 26 \+ functions of those classes - see FunctionAdvisor( \"trig\" ); and Func tionAdvisor( \"elementary\" );" }}{PARA 6 "" 1 "" {TEXT -1 66 "The sys tem is unable to compute the \"asymptotic_expansion\" for sin" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#/%)describeG/%$sinG%.sine~functionG" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#/%2classify_functionG6$%%trigG%+eleme ntaryG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%+definitionG7$/-%$sinG6#% \"zG*(^##!\"\"\"\"#\"\"\",&*$)-%$expG6#*&F*F0^#F0F0F/F0F0F0F.F0F4F.-%9 with~no~restrictions~on~GF)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%.sing ularitiesG7$-%$sinG6#%\"zG/F)^$%)infinityGF," }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%.branch_pointsG7$-%$sinG6#%\"zG%1No~branch~pointsG" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#/%,branch_cutsG7$-%$sinG6#%\"zG%/No~b ranch~cutsG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%/special_valuesG7*/-% $sinG6#,$*&\"\"'!\"\"%#PiG\"\"\"F/#F/\"\"#/-F(6#,$*&\"\"%F-F.F/F/,$*&F 1F-F1F0F//-F(6#,$*&\"\"$F-F.F/F/,$*&F1F-F?F0F//-F(6#%)infinityG%*undef inedG/-F(6#^#FEFJ7$/-F(6#*&F.F/%\"nGF/\"\"!-%$AndG6#'FP%(integerG7$/-F (6#,$*(F1F-,&*&F1F/FPF/F/F/F/F/F.F/F/F--FS6#'FP%$oddG7$/FYF/-FS6#'FP%% evenG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%+identitiesG7*/-%$sinG6#%\" zG,$-F(6#,$F*!\"\"F//F',$*(\"\"#\"\"\"-F(6#,$*&F3F/F*F4F4F4-%$cosGF6F4 F4/F'*&F4F4-%$cscGF)F//F',$*&F4F4-F>F-F/F//F',$*(F3F4-%$tanGF6F4,&F4F4 *$)FFF3F4F4F/F4/F'*&^##F/F3F4,&-%$expG6#*&F*F4^#F4F4F4-FQ6#*&^#F/F4F*F 4F/F4/*$)F'F3F4,&F4F4*$)-F:F)F3F4F//FZ,&#F4F3F4*&#F4F3F4-F:6#,$*&F3F4F *F4F4F4F/" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%)sum_formG7$/-%$sinG6#% \"zG-%$SumG6$*()!\"\"%$_k1G\"\"\")F*,&*&\"\"#F2F1F2F2F2F2F2-%*factoria lG6#F4F0/F1;\"\"!%)infinityG-%9with~no~restrictions~on~GF)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%.integral_formG7$/-%$sinG6#%\"zG,$-%$IntG6 $-%$expG6#*(^#\"\"#\"\"\"F*F5%$_t1GF5/F6;\"\"!F5*&F*F5-F06#*&F*F5^#F5F 5!\"\"-%9with~no~restrictions~on~GF)" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#/%5differentiation_ruleG/-%%DiffG6$-%$sinG6#-%\"fG6#%\"zGF/*&-%$cosG F+\"\"\"-%%diffG6$F,F/F3" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%#DEG7$/- %\"fG6#%\"zG-%$sinGF)7#/-%%diffG6$F'-%\"$G6$F*\"\"#,$F'!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%'seriesG/-%'seriesG6%-%$sinG6#%\"zGF,\"\"% +)F,\"\"\"F/#!\"\"\"\"'\"\"$-%\"OG6#F/F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "FunctionAdvisor( \"elementary\",quiet );" }}{PARA 0 " > " 0 "" {MPLTEXT 1 0 31 "Equate(%,map(series,%(t),t=0));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7<%'arccosG%(arccoshG%'arccotG%(arccothG%'arccs cG%(arccschG%'arcsecG%(arcsechG%'arcsinG%(arcsinhG%'arctanG%(arctanhG% $cosG%%coshG%$cotG%%cothG%$cscG%%cschG%$expG%#lnG%$secG%%sechG%$sinG%% sinhG%$tanG%%tanhG" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7F*#F-\"#CFapF6F0/%%c oshG++F'F-F.FVF*F]sFapF6F0/%$cotG+-F'F-F+FfrF-#F+\"#XF1#Fco\"$X*F5F6F0 /%%cothG+-F'F-F+FOF-FesF1#F*FhsF5F6F0/%$cscG++F'F-F+FHF-#\"\"(\"$g$F1F 6Fap/%%cschG+-F'F-F+F/F-F`tF1#!#J\"&?^\"F5F6F0/%$expG+1F'F-F.F-F-FVF*F HF1F]sFap#F-\"$?\"F5F6F0/Fin+%F'FdoF./%$secG++F'F-F.FVF*#F5F^sFapF6F0/ %%sechG++F'F-F.F>F*FcuFapF6F0/%$sinG++F'F-F-F/F1F\\uF5F6F0/%%sinhG++F' F-F-FHF1F\\uF5F6F0/%$tanG++F'F-F-FOF1#F*\"#:F5F6F0/%%tanhG++F'F-F-FfrF 1F`vF5F6F0" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 16 "nifty one-liners " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 278 "col:=map(convert,[Strin gTools[RegSplit](\"[ \\n]+\",\"aquamarine black blue brown cora l cyan \ngold green gray grey khaki magenta \nmaroon \+ orange navy pink plum red \nsienna tan turquois e violet wheat white \nyellow \")],name); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$colG7;%+aquamarineG%&blackG%%blueG%&brownG%&cor alG%%cyanG%%goldG%&greenG%%grayG%%greyG%&khakiG%(magentaG%'maroonG%'or angeG%%navyG%%pinkG%%plumG%$redG%'siennaG%$tanG%*turquoiseG%'violetG%& wheatG%&whiteG%'yellowG" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 9 "elega ntia" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "[sin,a->a,a->a^2](t) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7%-%$sinG6#%\"tGF'*$)F'\"\"#\"\" \"" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 7 "stijlen" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 256 10 "variabelen" }{TEXT -1 1 ":" }} {PARA 256 "" 0 "" {TEXT 257 14 "variabele naam" }{TEXT -1 14 ": beschr ijving" }}{PARA 258 "" 0 "" {TEXT -1 4 "todo" }}}{EXCHG {PARA 3 "" 0 " " {TEXT -1 3 "(1)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 256 10 "vari abelen" }{TEXT -1 1 ":" }}{PARA 256 "" 0 "" {TEXT 257 2 "BC" }{TEXT -1 6 ": test" }}}{EXCHG {PARA 259 "" 0 "" {TEXT -1 26 "bent u hier wel zeker van?" }}}{EXCHG {PARA 260 "" 0 "" {TEXT -1 12 "loempe vraag" }} }{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 9 "shortcuts" } }{PARA 256 "" 0 "" {TEXT 257 8 "Ctrl + D" }{TEXT -1 14 ": lijn deleten " }}{PARA 256 "" 0 "" {TEXT 257 8 "Ctrl + D" }{TEXT -1 14 ": lijn dele ten" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}}{MARK "3 1 0 0 " 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }